Linearity

Problem 1101

ixl.com
Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. \square DI. Practice in the app

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Problem 1102

Graph this line using the slope and yy-intercept: y=8x+1y=8 x+1
Click to select points on the graph.

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Problem 1103

8x+18>22-8 x+18 \mid>-22

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Problem 1104

Buscar ixl.com
Graph this line using the slope and yy-intercept: y=16x+2y=\frac{1}{6} x+2
Click to select points on the graph. Submit

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Problem 1105

Graph this line using the slope and yy-intercept: y=19x+4y=\frac{1}{9} x+4
Click to select points on the graph.

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Problem 1106

A horse and a saddle cost $5000\$ 5000. If the horse cost 4 times as much as the saddle, what was the cost of each?

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Problem 1107

3. Noah is helping to collect the entry fees at his school's sports game. Student entry costs $2.75\$ 2.75 each and adult entry costs $5.25\$ 5.25 each. At the end of the game, Diego collected \281.25.Selectallequationsthatcouldrepresenttherelationshipbetweenthenumberofstudents,281.25. Select all equations that could represent the relationship between the number of students, s,thenumberofadults,, the number of adults, a,andthedollaramountreceivedatthegame.A., and the dollar amount received at the game. A. 281.25-5.25 a=2.75 sB. B. a=53.57-\frac{2.75}{5.25} sC. C. 281.25-5.25 s=aD. D. 281.25+2.75 a=sE. E. 281.25+5.25 s=a<br/>4.<br />4. V=\pi r^{2} hisanequationtocalculatethevolumeofacylinder, is an equation to calculate the volume of a cylinder, V,where, where rrepresentstheradiusofthecylinderand represents the radius of the cylinder and hrepresentsitsheight.Whichequationallowsustoeasilyfindtheheightofthecylinderbecauseitissolvedfor represents its height. Which equation allows us to easily find the height of the cylinder because it is solved for h?A. ? A. r^{2} h=\frac{V}{\pi}B. B. h=V-\pi r^{2}C. C. h=\frac{V}{\pi r^{2}}D. D. \pi h=\frac{V}{r^{2}}$
5. The data represents the number of hours 10 students slept on Sunday night.

6 6
7 7 7 8 8 8
8 9 Are there any outliers? Explain your reasoning.

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Problem 1108

6. The table shows the volume of water in cubic meters, VV, in a tank after water has been pumped out for a certain number of minutes. Which equation could represent the volume of water in cubic meters after tt minutes of water being pumped out? \begin{tabular}{|c|c|} \hline \begin{tabular}{c} time after \\ pumping begins \end{tabular} & \begin{tabular}{c} volume of water \\ (cubic meters) \end{tabular} \\ \hline 0 & 30 \\ 5 & 27.5 \\ 10 & 20 \\ 15 & 7.5 \\ \hline \end{tabular} A. V=302.5tV=30-2.5 t B. V=300.5tV=30-0.5 t C. V=300.5t2V=30-0.5 t^{2} D. V=300.1t2V=30-0.1 t^{2} (From Unit 2, Lesson 4.)
7. A catering company is setting up for a wedding. They expect 150 people to attend. They can provide small tables that seat 6 people and large tables that seat 10 people. a. Find a combination of small and large tables that seats exactly 150 people. b. Let xx represent the number of small tables and yy represent the number of large tables. Write an equation to represent the relationship between xx and yy. c. Explain what the point (20,5)(20,5) means in this situation. d. Is the point (20,5)(20,5) a solution to the equation you wrote? Explain your reasoning.

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Problem 1109

4. Joel and Rhonda were comparing their classroom economy bank accounts. The sum of their bank account balances was $160\$ 160. The ratio of Joel's account balance to Rhonda's account balance was 4:14: 1. How much money does each student have in their account? \begin{tabular}{|l|l|} \hline was 4:1. How much money does each student have in their accouni: \\ \hline I KNOW: & I NEED TO KNOW: \\ \hline DIAN AND WORK: & SOIUTION: \\ & \\ & \\ \hline \end{tabular}

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Problem 1110

What is the equation of the trend line in the scatter plot?
Use the two orange points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form. \square

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Problem 1111

9. Select all the equations that are equivalent to the equation 3x4=53 x-4=5. A. 3x=93 x=9 B. 3x4+4=5+43 x-4+4=5+4 C. x4=2x-4=2 D. x=9x=9 E. 4=53x-4=5-3 x (From Unit 2, Lesson 6.)
10. Han is solving an equation. He took steps that are acceptable but ended up with equations that are clearly not true. 5x+6=7x+52x original equation 5x+6=7x2x+5 apply the commutative property 5x+6=5x+5 combine like terms =5 subtract 5x from each side \begin{aligned} 5 x+6 & =7 x+5-2 x & & \text { original equation } \\ 5 x+6 & =7 x-2 x+5 & & \text { apply the commutative property } \\ 5 x+6 & =5 x+5 & & \text { combine like terms } \\ & =5 & & \text { subtract } 5 x \text { from each side } \end{aligned}

What can Han conclude as a result of these acceptable steps? A. There's no value of xx that can make the equation 5x+6=7x+52x5 x+6=7 x+5-2 x true. B. Any value of xx can make the equation 5x+6=7x+52x5 x+6=7 x+5-2 x true. C. x=6x=6 is a solution to the equation 5x+6=7x+52x5 x+6=7 x+5-2 x. D. x=5x=5 is a solution to the equation 5x+6=7x+52x5 x+6=7 x+5-2 x.

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Problem 1112

Sara is saving her money in a piggy bank and counts it each month. The * 1 point graph shows her monthly savings. Choose any two points and draw a slope triangle. Use this triangle to determine whether the amount Sara saves each month is constant. The slope is not constant, so the amount Sara saves each month is constant The slope is not constant, so the amount Sara saves each month is not constant The slope is constant, so the amount Sara saves each month is constant The slope is constant, so the amount Sara saves each month is not constant

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Problem 1113

9. Select all the equations that are equivalent to the equation 4x+2=224 x+2=22. A. x+2=18x+2=18 B. x=5x=5 C. 2=224x2=22-4 x D. 4x+22=2224 x+2-2=22-2 E. 4x=244 x=24 (From Unit 2, Lesson 6.)
10. Tyler is solving an equation. He took steps that are acceptable but ended up with equations that are clearly not true. 4x15=5x+15+9x original equation 4x15=9x5x+15 apply the commutative property 4x15=4x+15 combine like terms 15=15 subtract 4x from each side \begin{array}{ll} 4 x-15=-5 x+15+9 x & \text { original equation } \\ 4 x-15=9 x-5 x+15 & \text { apply the commutative property } \\ 4 x-15=4 x+15 & \text { combine like terms } \\ -15=15 & \text { subtract } 4 x \text { from each side } \end{array}

What can Tyler conclude as a result of these acceptable steps? A. x=15x=-15 is a solution to the equation 4x15=5x+15+9x4 x-15=-5 x+15+9 x. B. x=15x=15 is a solution to the equation 4x15=5x+15+9x4 x-15=-5 x+15+9 x. C. Any value of xx can make the equation 4x15=5x+15+9x4 x-15=-5 x+15+9 x true. D. There's no value of xx that can make the equation 4x15=5x+15+9x4 x-15=-5 x+15+9 x true.

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Problem 1114

A printer is printing photos. For every 20 photos, the printer takes 4 minutes. Complete the table below showing the number of photos and the time it takes to print them. \begin{tabular}{|l|c|c|c|c|c|} \hline Number of photos & 20 & \square & \square & 45 & \square \\ \hline Time (minutes) & 4 & 5 & 7 & \square & 10 \\ \hline \end{tabular}

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Problem 1115

A 5000-seat theater has tickets for sale at $27\$ 27 and $40\$ 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $149,300\$ 149,300 ?
The number of tickets for sale at $27\$ 27 should be \square

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Problem 1116

What is the solution to this equation? 25.08=11.64+12x25.08=11.64+12 x

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Problem 1117

1. The graph shows the distance that an athlete runs. Find the slope of the line. (Example 1)
2. The poo slop Running Distance
3. The graph shows the cost of roasted
4. The grat

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Problem 1118

21. Solve 6x+26x10=8(4x+10)6 x+26 x-10=8(4 x+10).

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Problem 1119

Consider the following three systems of linear equations.
System A System B System C {9x5y=7[A1]7x2y=13[A2]{12x+y=32[B1]7x2y=13[B2]{12x+y=32[C1]17x=51\left\{\begin{array} { l } { 9 x - 5 y = - 7 [ \mathrm { A } 1 ] } \\ { 7 x - 2 y = - 1 3 [ \mathrm { A } 2 ] } \end{array} \left\{\begin{array} { l } { - 1 2 x + y = 3 2 [ \mathrm { B } 1 ] } \\ { 7 x - 2 y = - 1 3 [ \mathrm { B } 2 ] } \end{array} \left\{\begin{array}{c} -12 x+y=32[\mathrm{C} 1] \\ -17 x=51 \end{array}\right.\right.\right.
Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow ()(\rightarrow) means the expression on the left becomes the expression on the right. (a) How do we transform System A into System B?
×\times Equation [A1][\mathrm{A} 1] \rightarrow Equation [B1][\mathrm{B} 1]
×\times Equation [A2] \rightarrow Equation [B2]
×\times Equation [A1]+[\mathrm{A} 1]+ Equation [A2][\mathrm{A} 2] \rightarrow Equation [B2][\mathrm{B} 2]
\square Equation [A2]+[\mathrm{A} 2]+ Equation [A1][\mathrm{A} 1] \rightarrow Equation [B1][\mathrm{B} 1] (b) How do we transform System B into System C? Check

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Problem 1120

12x+4=+24x412 x+4=+24 x-4

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Problem 1121

3. y=8xy=-8 x \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-1 & \\ \hline 0 & \\ \hline & \\ \hline \end{tabular}
4. 3x=y3 x=y \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 0 & 0 \\ \hline12\frac{1}{2} & 3 \\ \hline 2 & 6 \\ \hline \end{tabular}
5. y8=xy-8=-x \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline & \\ \hline & \\ \hline & \\ \hline \end{tabular}
7. y=12x+1y=\frac{1}{2} x+1 \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline & \\ \hline & \\ \hline & \\ \hline \end{tabular}
6. x=10yx=10-y \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 0 & 10 \\ \hline 1 & 9 \\ \hline 2 & 8 \\ \hline \end{tabular}
8. y+2=14xy+2=\frac{1}{4} x \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline & \\ \hline & \\ \hline & \\ \hline \end{tabular}

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Problem 1122

26. Two integers have a difference of -30 . When the larger integer is increased by 3 and added to the square of the smaller integer, the result is 189 . Determine the two integers algebraically. Verify your answers algebraically

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Problem 1123

Solve the system by using Gaussian elimination or Gauss-Jordan elimination 2x+4y=19x+2y=4\begin{array}{r} 2 x+4 y=19 \\ x+2 y=-4 \end{array} The system has no solution, }\}. The system has one solution. The solution set is \square )\}. The system has infinitely many solutions. The solution set is {\{ \square {y\{y is any real number }\}.

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Problem 1124

x3y+15z=4x2y+7z=22x8y+46z=7\begin{array}{r} x-3 y+15 z=-4 \\ x-2 y+7 z=-2 \\ 2 x-8 y+46 z=-7 \end{array} The system has no'solution, \{\}. The system has one solution. The solution set is {\{ \square )})\}. The system has infinitely many solutions. The solution set is {()z\{(\square) \mid z is any real number }\}.

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Problem 1125

Solve the system by using Gaussian elimination or Gauss-Jordan elimination. 3x+7y+27z=574x+10y+38z=80x+3y+11z=23\begin{array}{r} 3 x+7 y+27 z=57 \\ 4 x+10 y+38 z=80 \\ x+3 y+11 z=23 \end{array} The system has no'solution, }\}. The system has one solution. The solution set is {(\{( \square }\}. The system has infinitely many solutions. The solution set is {()z\{(\square) \mid z is any real number }\}.

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Problem 1126

2. The graph shows the amount of water in a pool as water is added over time. Find the slope of the line. (Example 1)
Water in a Pool

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Problem 1127

```latex Three systems of linear equations.
System B{5x+2y=4[B1]13x=26[B2]System C{5x+2y=4[C1]x=2[C2] \begin{array}{c} \text{System B} \\ \left\{ \begin{array}{c} -5x + 2y = 4 \quad [\mathrm{B}1] \\ -13x = 26 \quad [\mathrm{B}2] \end{array} \right. \end{array} \quad \begin{array}{c} \text{System C} \\ \left\{ \begin{array}{c} -5x + 2y = 4 \quad [\mathrm{C}1] \\ x = -2 \quad [\mathrm{C}2] \end{array} \right. \end{array}
Below, transformation and then fill in the
How do we transform System B into System C?
×\times Equation [B1][B 1] \rightarrow Equation [C1]
Equation [B2][B 2] \rightarrow Equation [C2]
Equation [B1]+[B 1]+ Equation [B2][B 2] \rightarrow Equation [C2][C 2]
Equation [B2]+[B 2]+ Equation [B1][B 1] \rightarrow Equation [C1]

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Problem 1128

Write a system of linear equations represented by the augmented matrix. Give your answer ir system should be in the same order as the rows in the given augmented matrix. [728351]\left[\begin{array}{cc:c} -7 & 2 & -8 \\ -3 & 5 & 1 \end{array}\right]
System of Equations:

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Problem 1129

Solve the system by using Gaussian elimination or Gauss-Jordan elimination. 4x+11y=58x3y=16\begin{aligned} -4 x+11 y & =58 \\ x-3 y & =-16 \end{aligned}
The solution set is \square , )})\} \square \square

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Problem 1130

Identify the xx-intercept and yy-intercept of the line 2x5y=102 x-5 y=10. The xx-intercept is (2,0)(2,0) and the yy-intercept is (0,5)(0,-5). The xx-intercept is (0,5)(0,5) and the yy-intercept is (2,0)(-2,0). The xx-intercept is (0,2)(0,-2) and the yy-intercept is (5,0)(5,0). The xx-intercept is (5,0)(5,0) and the yy-intercept is (0,2)(0,-2).

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Problem 1131

Josh is hiking Glacier National Park. He has now hiked a total of 17 km and is 2 km short of being 12\frac{1}{2} of the way done with his hike.
Write an equation to determine the total length in kilometers (h)(h) of Josh's hike. \square Find the total length of Josh's hike. \square km

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Problem 1132

9. Tomas butys a bag of 5 peaches for $3.55\$ 3.55. Write and solve an equation to find how much money. 3 . Tomas paid for each peach.

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Problem 1133

Solve the system of equations graphed on the coordinate axes bel y=2x+8y=3x7\begin{array}{l} y=2 x+8 \\ y=-3 x-7 \end{array}

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Problem 1134

Player A led a baseball league in runs batted in for the 2005 regular season. Player B, who came in second to player A, had 16 fewer runs batted in for the 2005 regular season. Together, these two players brought home 226 runs during the 2005 regular season. How many runs batted in did player A and player B each account for?
Player A had \square runs and player B had \square runs batted in for the 2005regular season.

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Problem 1135

Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $129\$ 129. Two adults and three children must pay $92\$ 92. Find the price of the adult's ticket and the price of a child's ticket.
The price of a child's ticket is $\$ \square .

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Problem 1136

Find the solution of each equation using mental math or a table. If the solution lies between two consecutive integers, identify those integers.
53. x+4=2x+4=-2
54. 4m+1=94 m+1=9
55. 10.5=3n110.5=3 n-1
56. 3+t=19-3+t=19
57. 5a4=165 a-4=-16
58. 9=4+(y)9=4+(-y)
59. 1=14n+11=-\frac{1}{4} n+1
60. 17=6+2x17=6+2 x

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Problem 1137

Use substitution to solve the system. 2x+5y=1y=3x+7\begin{aligned} 2 x+5 y & =1 \\ y & =3 x+7 \end{aligned} x=y=\begin{array}{l} x= \\ y= \end{array}

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Problem 1138

Solve for ww. w+56=15w+\frac{5}{6}=-\frac{1}{5}

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Problem 1139

7(n+8)=7(n+8)= \square \square

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Problem 1140

What is the value of k when 30k+60=20k+9030 \mathrm{k}+60=20 \mathrm{k}+90 ? kk is \square

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Problem 1141

Question When an integer is subtracted from 7 times the next consecutive even integer, the difference is 50 . Find the value of the lesser integer.
Answer Attempt 1 out of 2 Submit Answer

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Problem 1142

Question
Rashaad is the youngest of three siblings whose ages are consecutive odd integers. If the sum of their ages is 63 , find Rashaad's age.
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 1143

Mixed Review Use the Distributive Property to simplify each expression.
71. 7(4+2y)7(4+2 y)
72. 6(3b+11)-6(3 b+11)
73. (8+2t)(2.1)(8+2 t)(-2.1)
74. (1+5x)5(-1+5 x) 5

Evaluate each expression for m=4,n=1m=4, n=-1, and p=12p=-\frac{1}{2}.
75. 2m2n2 m-2 n
76. pmnp m-n
77. 6mp6 m p

See Lesson 1-6.
79. 8p(5n)8 p-(-5 n)
80. 2mn-2 m-n
81. 1.5m÷6p-1.5 m \div 6 p
78. 7m÷(4n)7 m \div(-4 n)
82. 3n2(10p2)3 n^{2} \cdot\left(-10 p^{2}\right)

Get Ready! To prepare for Lesson 1-9, do Exercises 83-86. Use a table to find the solution of each equation. (1) See Lesson 1-8.
83. 4x1=74 x-1=7
84. 0=10+10y0=10+10 y
85. 512=712b5 \frac{1}{2}=7-\frac{1}{2} b 86.3t(5.4)=5.486.3 t-(-5.4)=5.4

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Problem 1144

Graph the solution set of the inequality on a number line and then write it in interval notation. {x8x>2}\{x \mid 8 \geq x>-2\}

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Problem 1145

8x6y=572x+54y=45\begin{aligned} 8 x-6 y & =5 \\ -72 x+54 y & =-45\end{aligned} system or - equations 55 \quad (1) \qquad (2)
4. The solution to this system is c. There is no solution. which solution. solutions. \square the 0_{0} \qquad Choices \qquad nd fill \qquad \qquad present in 2^{2} Which of the statem ments ss below is \qquad
The graphs intersect at one point hever intersect. \square so the solution is unique.

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Problem 1146

nd links - Search students MIND LInks IVIatinkL OIII 2 neview 1001.pearson.com/Student/PlayerHomework.aspx?homeworkld=33127488\&questionld=11\&flushed... ew Question 16, *5.4.8 HW Score: 63.33\%, 19 of dionaesj
Write an equation in point-slope form of the line that passes through the given point and with the given slope m . (3,2);m=7(-3,2) ; m=7
The equation of the line is \square (Simplify your answer. Type your answer in point-slope form.)

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Problem 1147

Write the equation of a line in Point-Slope Form that contains the point (1,6)(1,6) and is Parallel to y=3x+1y=3 x+1. ORIGINAL EQUATION: y=3x+1 m=\mathrm{y}=3 \mathrm{x}+1 \quad \mathrm{~m}= type your answer... \square y type your answer... = choose your answer... (x choose your answer... )y-\text { type your answer... }=\text { choose your answer... } \quad \checkmark(x-\text { choose your answer... } \quad \checkmark)
Convert to Slope-Intercept Form y=\mathrm{y}= choose your answer... x+\quad \checkmark \mathrm{x}+ choose your answer... \square

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Problem 1148

Question 18, *5.5.11 HW Review Part 1 of 2
Find the xx-intercept and the yy-intercept of the graph of the equation. 3x+4y=243 x+4 y=24
The x -intercept is \square (Type an integer.)

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Problem 1149

Warrensville Heights City Schoc DeltaMath Student Application Dej Loaf - Fools Fall...
Question Watchivides
Lydia was given a box of assorted chocolates for her birthday. Each night, Lydia treats herself to some chocolates. Let CC represent the number of choo remaining in the box tt days after Lydia's birthday. A graph of CC is shown below. Write an equation for CC then state the xx-intercept of the graph and o interpretation in the context of the problem. C=C= \square The xx-intercept of the function is \square which represents \square Bumit Aarwy

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Problem 1150

view Question 22, *5.6.7 HW Score: 80\%, 24 of 30 points Save
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,6);y=2x+4(-2,-6) ; y=-2 x+4
Write an equation for the line in slope-intercept form. \square (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 1151

3. When a song is sold by an online mustc store, the store takes some of the money, and the stiger gests the
10. rest. The graph below shows how much money a pop singer makes given the total amount of money brought in by one popular online music store from sales of the song. a. Identify the constant of proportionality between dollars earned by the pop singer and dollars brought in by sales of the song.

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Problem 1152

Two cheeseburgers and one small order of fries contain a total of 1350 calories. Three cheeseburgers and two small orders of fries contain a total of 2190 calories. Find the caloric content (in calories) of each item. cheeseburger \square calories fries \square calories Need Help? Read If Watch it

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Problem 1153

Andaikan s,u,v,wV\mathrm{s}, \mathrm{u}, \mathrm{v}, \mathrm{w} \in V; dengan u=(113),v=(131),w=(214)\mathrm{u}=\left(\begin{array}{c}1 \\ -1 \\ 3\end{array}\right), \mathrm{v}=\left(\begin{array}{c}-1 \\ 3 \\ -1\end{array}\right), \mathrm{w}=\left(\begin{array}{l}2 \\ 1 \\ 4\end{array}\right), Apakah s=(264)\mathrm{s}=\left(\begin{array}{l}2 \\ 6 \\ 4\end{array}\right) merupakan kombinasi linear dari vektor u,v\mathrm{u}, \mathrm{v} dan w ?

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Problem 1154

{3x1y1z=19x+9y3z=1x+5y2z=6\left\{\begin{array}{l}-3 x-1 y-1 z= \\ -1 \\ 9 x+9 y-3 z= \\ -1 x+5 y-2 z= \\ -6\end{array}\right.

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Problem 1155

Watch Video Show Example
Find the equation of the linear function represented by the table below in slope-intercept forn \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-3 & 6 \\ \hline 2 & -9 \\ \hline 7 & -24 \\ \hline 12 & -39 \\ \hline \end{tabular}

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Problem 1156

Watch Video Show Example
Find the equation of the linear function represented by the table below in slope-intercept forn \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-2 & 6 \\ \hline 3 & -4 \\ \hline 8 & -14 \\ \hline \end{tabular}

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Problem 1157

2. Andaikan vektor u=(112),v=(101),w=(213)\mathrm{u}=\left(\begin{array}{l}1 \\ 1 \\ 2\end{array}\right), \mathrm{v}=\left(\begin{array}{l}1 \\ 0 \\ 1\end{array}\right), \mathrm{w}=\left(\begin{array}{l}2 \\ 1 \\ 3\end{array}\right),
Apakah vektor-vektor diatas membangun pada R3R^{3}

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Problem 1158

Find the equation of the linear function represented by the table below in slope-intercept form. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-2 & -3 \\ \hline 1 & 9 \\ \hline 4 & 21 \\ \hline 7 & 33 \\ \hline \end{tabular}

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Problem 1159

Question Watch Video Show Examples
Find the equation of the linear function represented by the table below in slope-intercept form. \begin{tabular}{|l|l|} \hlinexx & yy \\ \hline-3 & 10 \\ \hline 2 & 0 \\ \hline 7 & -10 \\ \hline \end{tabular}

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Problem 1160

Based on the standards data shown in the figure below, what is the concentration f salicylic acid in a solution which has its absorbance recorded as 0.326 ?
Absorbance vs. Concentration
Calculate your answer in molarity, submitting only the numerical part of it with 3 decimal places.

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Problem 1161

Solve the system by the addition method. x+4y=55x+3y=8\begin{array}{r} x+4 y=-5 \\ 5 x+3 y=-8 \end{array}
Select the correct choice below and fill in any answer boxes present in your choice. A. The solution set is {(1,1)}\{(-1,-1)\}. (Simplify your answer. Type an ordered pair.) \square B. There are infinitely many solutions. C. There is no solution.

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Problem 1162

Question Watch Video Show Examples Moussa is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee is $25\$ 25 and the one-time joining fee is $100\$ 100. Write an equation for CC, in terms of tt, representing the total cost of the gym membership over tt months.
Answer Attempt 1 out of 2

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Problem 1163

The weight, in pounds, of a newborn baby tt months after birth can be modeled by WW. The table below has select values showing the linear relationship between tt and WW. Determine the weight of the baby at birth. \begin{tabular}{|c|c|} \hlinett & WW \\ \hline 0.5 & 11 \\ \hline 5 & 20 \\ \hline 8 & 26 \\ \hline \end{tabular}

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Problem 1164

Two friends, Jin and Chloe, had just bought their first cars. The equation y=23xy=23 x represents the number of miles, yy, that Jin can drive his car for every xx gallons of gas. Chloe uses 5 gallons of gas to drive 93 miles in her car.
Use the dropdown menu and answer-blank below to form a true statement.
Answer Attempt 1 out of 2
Chloe can travel \square miles than Jin on one gallon of gas. Submit Answer

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Problem 1165

amila and Juan own competing taxicab companies. Both cab ompanies charge a one-time pickup fee for every ride, as well as a narge for each mile traveled. Camila charges a $1.50\$ 1.50 pickup fee and 2.30 per mile. The graph below represents what Juan's company harges.
Use the dropdown menu and answer-blank below to form a true statement.
Answer Attempt 1 out of 2
Camila's company charges \ \square$ per mile than Juan's.

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Problem 1166

Ajay and Valeria own competing taxicab companies. Both cab companies charge a one-time pickup fee for every ride, as well as a charge for each mile traveled. Ajay charges a $5\$ 5 pickup fee and $1.10\$ 1.10 per mile. The table below represents what Valeria's company charges.
Valeria's Taxicab Company \begin{tabular}{|c|c|} \hline Miles (x)(x) & Total Cost (y)(y) \\ \hline 20 & $60.50\$ 60.50 \\ \hline 30 & $89.50\$ 89.50 \\ \hline 40 & $118.50\$ 118.50 \\ \hline 50 & $147.50\$ 147.50 \\ \hline \end{tabular}
Use the dropdown menu and answer-blank below to form a true statement.
Answer Attempt 1 out of 2
Ajay's company charges \ \square$ per mile than Valeria's.

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Problem 1167

vatch video Stow examples
Which of the relationships below represents a function with a lesser rate of change than the function y=2x+4y=2 x+4 ?
A
C \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 0 & -4 \\ \hline 4 & -20 \\ \hline 8 & -36 \\ \hline 12 & -52 \\ \hline \end{tabular}
B
D \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-6 & -31 \\ \hline-2 & -7 \\ \hline 2 & 17 \\ \hline 6 & 41 \\ \hline \end{tabular}

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Problem 1168

The graph of a function is shown on the coordinate plane below.
Which relationship represents a function with a lesser rate of change than the function graphed?
A \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-4 & -9 \\ \hline 0 & -4 \\ \hline 4 & 1 \\ \hline 8 & 6 \\ \hline \end{tabular}
C \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 3 & -14 \\ \hline 6 & -26 \\ \hline 9 & -38 \\ \hline 12 & -50 \\ \hline \end{tabular}
B y=6x3y=-6 x-3
D y=3x+2y=3 x+2

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Problem 1169

f(x)=9x+9f(x)=9 x+9
Find f(x)f(-x). 22 eople anva for Education ucid (Whiteboard) Лastery Tracker \begin{tabular}{|l|l|} \hlinef(x)=9xf(-x)=-9 x & f(x)=9xf(-x)=-9 x \\ \hline!! Not equivalent. & \\ \hline \end{tabular}
Select all true statements below. f(x)=f(x)f(-x)=f(x) f(x)=f(x)f(-x)=-f(x) ff is an odd function ff is an even function

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Problem 1170

Question Watch Video Show Examples
At the end of a snow storm, Riley saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Riley's lawn, in inches, can be modeled by the equation S=13tS=13-t, where tt is the time, in hours, after the snow stopped falling. What is the xx-intercept of the equation and what is its interpretation in the context of the problem?
Answer Attempt 1 out of 2
The xx-intercept of the function is \square which represents Submit Answer

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Problem 1171

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Ryan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. The equation P=17.50x+65P=17.50 x+65 represents Ryan's total pay on a day on which he sells xx computers. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer Attempt 1 out of 2
The yy-intercept of the function is \square which represents

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Problem 1172

Question Watch Video Show Examples
Charlotte is going to drive from her house to City A without stopping. An equation that determines Charlotte's distance from City At\mathrm{A} t hours after leaving her house is D=30t+300D=-30 t+300. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer Attempt 1 out of 2
The yy-intercept of the function is \square which represents \square Submit Answer

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Problem 1173

Use substitution to solve the system. 3x2y=13y=2x9\begin{aligned} 3 x-2 y & =13 \\ y & =2 x-9 \end{aligned} x=y=\begin{array}{l} x= \\ y= \end{array} \square

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Problem 1174

Maya is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission for every computer sale she makes. The equation P=80+12.50xP=80+12.50 x represents Maya's total pay on a day on which she sells xx computers. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer Attempt 1 out of 2
The yy-intercept of the function is \square which represents

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Problem 1175

Question Watch Video Show Examples
Ava is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission for every computer sale she makes. The equation P=11.25x+95P=11.25 x+95 represents Ava's total pay on a day on which she sells xx computers. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer Attempt 1 out of 2
The slope of the function is \square which represents

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Problem 1176

{5x4y=75x+4y=6\left\{\begin{array}{r}5 x-4 y=-7 \\ -5 x+4 y=-6\end{array}\right.

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Problem 1177

ZADE 8 UNIT 3 LESSON 3 ractice Problems oblem 1 re is a graph of the proportional relationship between calories and grams of fish:
Write an equation that reflects this relationship using xx to represent the amount of fish in grams and yy to represent the number of calories. b. Use your equation to complete the table: \begin{tabular}{|c|c|} \hline grams of fish & number of calories \\ \hline 1000 & \\ \hline & 2001 \\ \hline 1 & \\ \hline \end{tabular}
Grade 8 Unit 3 Lesson 3: Practice Problems 2ard Fd. CC BY-NC 4.0. Download for free at openup.org.

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Problem 1178

D(t)=12.84tD(t)=12.8-4 t
Complete the following statements.
Let D1D^{-1} be the inverse function of DD. Take xx to be an output of the function DD. That is, x=D(t)x=D(t) and t=D1(x)t=D^{-1}(x). (a) Which statement best describes D1(x)D^{-1}(x) ? The ratio of the amount of time she has walked (in hours) to her distance from Glen City (in kilometers), xx. The reciprocal of her distance from Glen City (in kilometers) after walking xx hours. The amount of time she has walked (in hours) when she is xx kilometers from Glen City. Her distance from Glen City (in kilometers) after she has walked xx hours.

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Problem 1179

r each ordered pair, determine whether it is a solution to the system of equations. {7x+2y=32x3y=4\left\{\begin{array}{c} -7 x+2 y=3 \\ 2 x-3 y=4 \end{array}\right. \begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{(x,y)(x, y)} & \multicolumn{2}{|c|}{ Is it a solution? } \\ \cline { 2 - 3 } & Yes & No \\ \hline(3,9)(-3,-9) & \bigcirc & \bigcirc \\ \hline(8,4)(8,4) & \bigcirc & \bigcirc \\ \hline(2,1)(-2,-1) & \bigcirc & \bigcirc \\ \hline(0,5)(0,5) & \bigcirc & \bigcirc \\ \hline \end{tabular}

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Problem 1180

7. 8x<102x\quad 8-x<10-2 x

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Problem 1181

For each ordered pair, determine whether it is a solution to the system of equations. {12x+3y=9y=4x+3\left\{\begin{array}{l} 12 x+3 y=9 \\ y=-4 x+3 \end{array}\right. \begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{(x,y)(x, y)} & \multicolumn{2}{|c|}{ Is it a solution? } \\ \cline { 2 - 3 } & Yes & No \\ \hline(2,11)(-2,11) & \bigcirc & \bigcirc \\ \hline(1,5)(1,5) & \bigcirc & \bigcirc \\ \hline(0,7)(0,-7) & \bigcirc & \bigcirc \\ \hline(3,9)(3,-9) & \bigcirc & \bigcirc \\ \hline \end{tabular}

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Problem 1182

Solve the following system of equations. x+8y=23x10y=27\begin{aligned} x+8 y & =23 \\ -x-10 y & =-27 \end{aligned} x=y=\begin{array}{l} x= \\ y= \end{array} \square \square

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Problem 1183

9. 3x1<19+2x43 x-1<19+2 x^{4} 3x7<1+23 x-7<1 \mid+2

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Problem 1184

2x+14x+92 x+1 \geq 4 x+9

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Problem 1185

solve the inequali(i) (1) 4x+81>114 x+8-1>11

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Problem 1186

Rachel's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has at least 77 liters. What are the possible numbers of minutes Rachel could add water?
Use tt for the number of minutes. Write your answer as an inequality solved for tt. \square

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Problem 1187

Private Miguel will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $55.96\$ 55.96 and costs an additional $0.14\$ 0.14 per mile driven. The second plan has an initial fee of $65.96\$ 65.96 and costs an additional $0.12\$ 0.12 per mile driven. How many miles would Miguel need to drive for the two plans to cost the same?
Bookmarks \square miles

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Problem 1188

Function AA and Function B are linear functions.
Function A y=x5y=x-5
Function B \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-5 & -19 \\ \hline-1 & -7 \\ \hline 1 & -1 \\ \hline \end{tabular}
Which statement is true?
The slope of Function A is greater than the slope of Function B.
The slope of Function AA is less than the slope of Function B. Submit Work it out Not feeling ready yet? These can help:

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Problem 1189

Let P(x)=90x10P(x)=90 x-10. Find: (1) Profit of 20 units. (2) Profit of unit number (20) (real) (3) Estimated profit of unit number (20)

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Problem 1190

5 Write down the equation of a line with a gradient of 2 and yy-intercept a (0,2)(0,2) b (0,1)(0,-1) c (0,12)\left(0, \frac{1}{2}\right) d (0,0.1)(0,0.1)

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Problem 1191

10. Зургийн дугуйлангийн сурагчдын тундаж нас 12. Хамгийн ахмад нь 17 настай. Бусаी сурагчдын дундаж нас нь 11 бол энэ дугуйлан хэдэн сурагчтай вэ?

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Problem 1192

Оюу Хуланд 5000 төгрөг өгвөл тэдний мөнгө тэнцүү болно. Харин Хулан Оюуд 5000 төгрөг өгөхөд Оюу Хулангаас 6 дахин их мөнгөтэй болсон. Анх хүүхэд бүрд хэдэн төгрөг байсан бэ?

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Problem 1193

Торхтой айрганд 60 Л саам хийвэл хөхүүртэй айрагтай тэнцүү болно. Харин хөхүүртэй айраг дээр 36 л саам нэмбэл торхтой айргаас 5 дахин их болох бол хөхүүр ба торхонд хэд хэдэн л айраг байсан бэ?

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Problem 1194

Question Watch Video
Which of the contexts below represents linear growth?
Answer
A smartphone data plan charges a \$65/month and \$0.69/GB of data used.
A certain population of 48 aggressive zombies quintuples every month.
Money invested in a savings account grows at an annual rate of 3.1%3.1 \%.
An elevator descends at a rate of 16 feet per second.

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Problem 1195

Answer the following statements by true or false: T..) Any subset of a vector space that does not contain the zero vector is not a space. ...) The set S={fC[1,1]:f(0)=1}S=\{f \in C[-1,1]: f(0)=1\} is not a subspace of V=C[1,1]V=C[-1,1] ...) S={AR2×2:a11=0}S=\left\{A \in R^{2 \times 2}: a_{11}=0\right\} is a subspace of V=R2×2V=R^{2 \times 2} ...) S={v=(x,y)R2:x+y=1}S=\left\{v=(x, y) \in R^{2}: x+y=1\right\} is not a subspace of V=R2V=R^{2} ...) S={fC(R):f(1)=0}S=\{f \in C(R): f(1)=0\} is a subspace of V=C(R)V=C(R) ...) S={v=(x,y)R2:x+y=1}S=\left\{v=(x, y) \in R^{2}: x+y=1\right\} is not a subspace of V=R2V=R^{2}. )\ldots) is a subspace of S={v=(x,y)R2:x+y=0},V=R2S=\left\{v=(x, y) \in R^{2}: x+y=0\right\}, V=R^{2}

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Problem 1196

Question
Find the inverse function of the function f(x)=15x+6f(x)=\frac{1}{5} x+6.
Answer f1(x)=5x6f^{-1}(x)=5 x-6 f1(x)=15x30f^{-1}(x)=\frac{1}{5} x-30 f1(x)=15x6f^{-1}(x)=\frac{1}{5} x-6 f1(x)=5x30f^{-1}(x)=5 x-30

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Problem 1197

齐 7 , The equation of line cc is y=18x+10y=\frac{1}{8} x+10. Line dd is perpendicular to line cc and passes through (1,1)(-1,1). What is the equation of line dd ?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

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Problem 1198

新] The equation for line cc can be written as y=37x+4y=-\frac{3}{7} x+4. Perpendicular to line cc is line dd, which passes through the point (2,4)(2,4). What is the equation of line dd ?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

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Problem 1199

Let R3R^{3} have the inner product (u,v)=u1v1+2u2v2+3u3v3(u, v)=u_{1} v_{1}+2 u_{2} v_{2}+3 u_{3} v_{3}
Use the Gram-Schmidt process to transform u1=(2,2,2),u2=(2,2,0),u3=(2,0,0)\mathbf{u}_{1}=(2,2,2), \mathbf{u}_{2}=(2,2,0), \mathbf{u}_{3}=(2,0,0) into an orthonormal basis.

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Problem 1200

kk, which passes through the point (2,1)(-2,-1). What is the equation of line kk ?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

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