Linearity

Problem 2001

7x(3x+5)8=12(8x+20)7x+57 x-(3 x+5)-8=\frac{1}{2}(8 x+20)-7 x+5

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Problem 2002

Solve. 0.5x2.8=0.70.5 x-2.8=0.7
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x=x= \square (Simplify your answer.) B. The solution is all real numbers. C. There is no solution.

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Problem 2003

a. y=13x+1y=\frac{-1}{3} x+1
Choose the correct answer below and, if necessary, fill out the answer box to complete your choice. A. The xx-intercept is 3 . B. There is no xx-intercept.
Choose the correct answer below and, if necessary, fill out the answer box to complete your choice. A. The yy-intercept is \square . B. There is no yy-intercept.

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Problem 2004

Lines, Functions, Systems Classitying systems of linear equations from graphs 4/5 Alisc
For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, choose the best description of its solution. If the system has exactly one solution, give its solution. Line 1:y=3x+31: y=3 x+3, System B Explanation Check

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Problem 2005

a. (3,4)(3,4) and (6,5)(6,5) where slope =13=\frac{1}{3}
The equation of the line is \square (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 2006

Factor the expression using -3. 15c+21-15 c+21

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Problem 2007

Evaluate the expression when Bx=10 and y=2y3x+2y\begin{array}{c} \mathrm{Bx}=10 \text { and } y=-\frac{2}{y} \\ 3 x+2 y \end{array}

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Problem 2008

8. Grayson can spend a maximum of 3 hours, hh, watching television on the weekend. \qquad

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Problem 2009

Solve the equation. 4(2v+3)=28-4(-2 v+3)=28

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Problem 2010

Entertainment A group of 3 friends is planning a fun day trip. To raft down a river costs $6\$ 6 per person plus $20\$ 20 for transportation of the raft. An amusement park costs $11\$ 11 per person. A hot air balloon ride costs $30\$ 30 per person, but they have a $50\$ 50 group discount coupon. \begin{tabular}{|lr|} \hline Activity & \multicolumn{1}{c|}{ Cost (\) } \\ \hline Raft trip & 6 n+20=38 \\ Amusement Park & 11 \mathrm{n}=38 \\ Balloon Ride & 30 n-50=38$ \\ \hline \end{tabular}
The table shows equations for the total cost of each activity for nn people. Which activity should they choose if they want to spend exactly $38\$ 38 ?
The \square would cost exactly $38\$ 38. amusement park balloon ride raft trip

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Problem 2011

Practice
1. Expand the expression 3.5(3n+4)3.5(-3 n+4).

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Problem 2012

There are 24 nickels on one pan of a pan balance and 19 nickels on the other. To make the pans balance, Levi thinks 2 nickels should be added to the higher pan, Isaac thinks 4 nickels should be added, and Miranda thinks 5 nickels should be added. Use the equation 24=19+n24=19+n to determine who is correct. \square is correct because the value \square makes the equation \square
Isaac
Miranda Levi

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Problem 2013

1. When Cal jumps 3 times and takes 6 steps forward, he lands in the same place as when he jumps 4 times and takes 2 steps backward. How long is Cal's jump in steps?

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Problem 2014

Use point-slope form to write the equation of a line that passes through the point (11,13)(-11,-13) with slope 23-\frac{2}{3}.

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Problem 2015

Question Watch Video Show Examples
Use point-slope form to write the equation of a line that passes through the point (4,11)(-4,11) with slope -2 .

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Problem 2016

2) A 68 kg barrel of monkeys is dragged across a floor by pulling on a rope attached to the box and inclined 1515^{\circ} above the horizontal. a) If the coefficient of static friction is 0.50 , what minimum force is required from the rope to start the barrel moving? b) If μk=0.35\mu_{k}=0.35, what is the magnitude of the initial acceleration of the barrel?

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Problem 2017

Solve the equations y=3xy=7x117\begin{array}{l} y=3-x \\ y=7 x-117 \end{array}
Solutions x=x= \square , y=y= \square

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Problem 2018

12=2(2x1)10-12=2(2 x-1)-10

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Problem 2019

(x+1)=3-(x+1)=3

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Problem 2020

Vlad tried to solve an equation step by step. 8p+14=428p=28p=3.5 Step 1 Step 2\begin{aligned} -8 p+14 & =42 \\ -8 p & =28 \\ p & =-3.5 \quad \text { Step } 1 \\ & \text { Step } 2 \end{aligned}
Find Vlad's mistake.

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Problem 2021

1=7x+11=7 x+1

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Problem 2022

13x+913 \neq x+9

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Problem 2023

WRITE AN EQUATION TO REDRESENT STEVE THE SHARK'S SEA LEVEL IN SLOPE-INTERCEPT FORM. Steve the shark is currently 300 feet below sea level and is descending at a rate of 50 feet per minute

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Problem 2024

Complete the process of solving the equation. Fill in the missing term on each line. Simplify any fractions. \begin{tabular}{rl} 17d+717 d+7 & =7=7 \\ 17d17 d & ==\square \\ Subtract 7 from both sides \\ dd & ==\square \\ Divide both sides by 17 \end{tabular}

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Problem 2025

Learn with an example • or Watch a video (b)
A line has a slope of 8 and passes through the point (1,3)(1,3). Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. \square

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Problem 2026

A line has a slope of 2 and passes through the point (4,4)(-4,-4). Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. \square

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Problem 2027

A line has a slope of 0 and passes through the point (7,19)(7,19). Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form \square

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Problem 2028

A line passes through the points (4,19)(-4,-19) and (12,7)(12,-7). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. \square

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Problem 2029

A line has a slope of 0 and passes through the point (4,4)(4,4). Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. \square

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Problem 2030

3x21=2x+3 x-21=2 x+

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Problem 2031

A line passes through the points (5,15)(-5,15) and (6,18)(6,-18). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. \square

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Problem 2032

A line passes through the points (8,13)(-8,-13) and (11,13)(11,-13). Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. \square

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Problem 2033

A line passes through the points (2,5)(-2,5) and (3,10)(3,10). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. \square

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Problem 2034

4x18=2x+344 x-18=2 x+34

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Problem 2035

Use substitution to solve the system. x=3y25x+2y=24\begin{aligned} x & =3 y-2 \\ 5 x+2 y & =24 \end{aligned}

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Problem 2036

5. The graph shows the kinetic energy of a car as the driver steps on the gas pedal. a) What is the power output of the car? b) If the process is 30\% efficient, determine the power delivered to the car.

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Problem 2037

6. A rental car agency charges $240\$ 240 per week plus $0.25\$ 0.25 per mile to rent a car. The charge for a minivan is $180\$ 180 per week plus $0.40\$ 0.40 per mile. After how many miles is the total charge for each vehicle the same?

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Problem 2038

56 If 1a,1b,1c\frac{1}{a}, \frac{1}{b}, \frac{1}{c} are in harmonic progression (HP). and the straight-line ax+2by+c=0a x+2 b y+c=0 passes through the points (2,k)(2, k) and (1,3)(-1,3), find the value of kk

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Problem 2039

- The Smith family and the Jackson family are having their basements remodeled. The Smith's contractor charges $16.50\$ 16.50 per hour plus $289\$ 289 in supplies. The Jackson's contractor charges $18.75\$ 18.75 per hour and $274.60\$ 274.60 in supplies. At how many hours of work will the total cost be the same for both families?

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Problem 2040

Jim currently has \1,250inhisbankaccountandSallyhas1,250 in his bank account and Sally has \1,400 1,400 in her bank account. Jim deposits $27.50\$ 27.50 per week and Sally deposits $20\$ 20 per week into her account. After how many weeks will they have the same amount of money?

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Problem 2041

9. In the following set of nonhomogeneous equations if z=1z=1, then the value of aa is: x+3y+az=2y+z=15x2yz=3\begin{array}{c} x+3 y+a z=2 \\ y+z=-1 \\ 5 x-2 y-z=3 \end{array} a. 25 b. 3 c. -3 d. -8 e. 8

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Problem 2042

For each graph, choose the function that best describes it. (a) (Choose one) (b) (Choose one)

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Problem 2043

Which number sentence is correct when ? is replaced by 5 ? 15+?=1015+?=10 ? 6=1-6=1 10?=510-?=5 11+6=11+6= ??

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Problem 2044

d=d= number of dollars p=p= number of pounds
Drag each table and equation to the unit rate it matches. CLEAR CHECK \begin{tabular}{|c|c|} \hlinedd & pp \\ \hline 1 & 19\frac{1}{9} \\ \hline 9 & 1 \\ \hline 18 & 2 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hlinedd & pp \\ \hline 3 & 1 \\ \hline 6 & 2 \\ \hline 12 & 4 \\ \hline \end{tabular} p=3dp=3 d
Unit Rate =3=3 Unit Rate =13=\frac{1}{3} Unit Rate =9=9 dollars/pound dollars/pound dollars/pound
DRAG AND DRAG AND DRAG AND DROP ITEMS DROP ITEMS DROP ITEMS HERE HERE HERE

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Problem 2045

En una granja se tiene suficiente alimento para dar de comer a 12 vacas durante 30 dias ¿Para cuántos dias alcanzaria la misma cantidad de alimento si el número de vacas se incrementa en un 25%25 \% ?

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Problem 2046

Geradengleichungen bestimmen, wenn ein Punkt PP und die Steigung mm gegeben sind \rightarrow Bestimmen Sie die Gleichung der Geraden in der Form y=mx+cy=m x+c. a) Die Gerade g geht durch b) Die Gerade hh geht durch c) Die Gerade i geht durch die Gerade P(21)P(2 \mid 1) mit m=1m=1 P(23)P(-2 \mid 3) mit m=34m=\frac{3}{4}. g: h: \qquad i: \qquad

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Problem 2047

Sort these equations into three types: true for all values, true for one value, or true for no values.
True for All Values 3(n+1)=3n+13(n+1)=3 n+1 2n=2n2 n=2 n
True for No Values True for One Value 7r=r77-r=r-7 v+2=v2v+2=v-2 y63=2y9y \cdot-6 \cdot-3=2 \cdot y \cdot 9 2n=n2 n=n 12+x=13+x\frac{1}{2}+x=\frac{1}{3}+x

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Problem 2048

Botanical Gardens The membership fee for joining a gardening association is $24\$ 24 per year. A local botanical garden charges members of the gardening association $3\$ 3 for admission to the garden. Nonmembers of the association are charged $6\$ 6. After how many visits to the garden is the total cost for members, including the membership fee, the same as the total cost for nonmembers?

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Problem 2049

14 Which system of equations has the same solution as the system below? 2x+2y=163xy=4\begin{array}{c} 2 x+2 y=16 \\ 3 x-y=4 \end{array} (1) 2x+2y=166x2y=4\begin{array}{l} 2 x+2 y=16 \\ 6 x-2 y=4 \end{array} (3) x+y=16x+y=16 3xy=43 x-y=4 (2) 2x+2y=162 x+2 y=16  (4) 6x+6y=486x+2y=8\text { (4) } \begin{aligned} 6 x+6 y & =48 \\ 6 x+2 y & =8 \end{aligned} 6x2y=86 x-2 y=8

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Problem 2050

殓,Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 5 & 46 \\ \hline 6 & 47 \\ \hline 7 & 48 \\ \hline 8 & 49 \\ \hline \end{tabular}
竣] Write your answer as an equation with y first, followed by an equals sign. \square

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Problem 2051

Video the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 3 & 0 \\ \hline 4 & 1 \\ \hline 5 & 2 \\ \hline 6 & 3 \\ \hline \end{tabular}
唁, Write your answer as an equation with y first, followed by an equals sign. \square Submit

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Problem 2052

) 竑, Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 0 & 0 \\ \hline 1 & 5 \\ \hline 2 & 10 \\ \hline 3 & 15 \\ \hline \end{tabular}
䯚] Write your answer as an equation with y first, followed by an equals sign. \square

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Problem 2053

㸚、] Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 5 & 9 \\ \hline 6 & 13 \\ \hline 7 & 17 \\ \hline 8 & 21 \\ \hline \end{tabular}
䯚. Write your answer as an equation with y first, followed by an equals sign. \square

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Problem 2054

效 A , Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 3 & -24 \\ \hline 4 & -32 \\ \hline 5 & -40 \\ \hline 6 & -48 \\ \hline \end{tabular} with y first, followed by an equals sign. \square

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Problem 2055

㸚, Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 4 & 31 \\ \hline 5 & 37 \\ \hline 6 & 43 \\ \hline 7 & 49 \\ \hline \end{tabular} [䯚] Write your answer as an equation with y first, followed by an equals sign. \square

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Problem 2056

(1)) 竑,Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 0 & -18 \\ \hline 1 & -14 \\ \hline 2 & -10 \\ \hline 3 & -6 \\ \hline \end{tabular} [䯚] Write your answer as an equation with y first, followed by an equals sign. \square

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Problem 2057

Ex IV: Soit x un mombrerred tel que x3x \leqslant-3 Montrelque: 5x+128-\frac{-5 x+1}{2} \geqslant 8

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Problem 2058

3. Bestimmen Sie durch Rechnung die Gleichung der linearen Funktion, deren Graph die Steigung mm hat und den Punkt PP enthält. a) m=0,8;P(41)m=0,8 ; P(4 \mid-1) b) m=0;P(2,57)m=0 ; \quad P(2,5 \mid 7) c) m=3;P(01)m=-3 ; P(0 \mid-1)

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Problem 2059

Which expression is equivalent to 23(6x+15)?-\frac{2}{3}(6 x+15) ? 4x+104 x+10 4x104 x-10 4x10-4 x-10 4x+10-4 x+10

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Problem 2060

At the movie theatre, child admission is $5.50\$ 5.50 and adult admission is $8.70\$ 8.70. On Monday, 163 tickets were sold for a total sales of \$1139.70. How many adult tickets were sold that day?
Number of adult tickets: \square

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Problem 2061

To complete bookshelves, a customer at your store needs to purchase vertical brackets to attach to the wall. The customer wants the shelving to be 9 feet high and 10 feet long. The wall brackets come in 48 -inch and 60 -inch sections. The 48 -inch sections cost $12.95\$ 12.95; the 60 -inch sections cost $16.95\$ 16.95. The brackets should be 1 foot from each end and no more than 24 inches apart. What will be the total cost of the brackets, before tax? A $89.70\$ 89.70 B $119.60\$ 119.60 C $129.50\$ 129.50 D $149.50\$ 149.50 E $179.40\$ 179.40

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Problem 2062

To complete bookshelves, a customer at your store needs to purchase vertical brackets to attach to the wall. The customer wants the shelving to be 9 feet high and 10 feet long. The wall brackets come in 48 -inch and 60 -inch sections. The 48 -inch sections cost $12.95\$ 12.95; the 60 -inch sections cost $16.95\$ 16.95. The brackets should be 1 foot from each end and no more than 24 inches apart. What will be the total cost of the brackets, before tax? A $89.70\$ 89.70 B $119.60\$ 119.60 C $129.50\$ 129.50 D $149.50\$ 149.50 E $179.40\$ 179.40

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Problem 2063

Video ))㮁, Rewrite the following equation in slope-intercept form. y1=110(x+10)y-1=\frac{1}{10}(x+10)
竣, Write your answer using integers, proper fractions, and improper fractions in simplest form. \square Submit

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Problem 2064

Find the constant of proportionality from the graph.

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Problem 2065

hich table of values represents a linear function?
A \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-2 & 1 \\ \hline-1 & 3 \\ \hline 0 & 5 \\ \hline 1 & 7 \\ \hline \end{tabular}
C \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-3 & 7 \\ \hline 0 & 6 \\ \hline 3 & 4 \\ \hline 9 & 0 \\ \hline \end{tabular}
B \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 1 & 3 \\ \hline 3 & 5 \\ \hline 5 & 7 \\ \hline 7 & 8 \\ \hline \end{tabular}
D \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-2 & 4 \\ \hline 1 & 1 \\ \hline 4 & -2 \\ \hline 7 & -4 \\ \hline \end{tabular}

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Problem 2066

Rewrite the following equation in slope-intercept form. 10x5y=1910 x-5 y=19
竣, Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Problem 2067

㸚, Rewrite the following equation in slope-intercept form. 15y18=3x15 y-18=3 x
㸚、 Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Problem 2068

Solve the simultaneous equations below using substitution y=10x+82y+5x=21\begin{aligned} y & =10 x+8 \\ 2 y+5 x & =21 \end{aligned}
Give your answers as integers or decimals.

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Problem 2069

3 Une compagnie d'entretien paysager possède deux types de tondeuses à gazon. La première peut tondre 4200 m2/h4200 \mathrm{~m}^{2} / \mathrm{h} pour un coût de 10$10 \$, alors que la seconde tond 5575 m2/h5575 \mathrm{~m}^{2} / \mathrm{h} et son utilisation coûte 15 \.Cettesemaine,lacompagnieatondu. Cette semaine, la compagnie a tondu 275000 \mathrm{~m}^{2}$ de gazon pour un coût d'exploitation de 710 \$. Combien d'heures chaque tondeuse a-t-elle été utilisée?

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Problem 2070

Graph the equation y=13x+2y=-\frac{1}{3} x+2

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Problem 2071

Write a system of inequalities whose solution is the set of all points in quadrant I not including the axes.

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Problem 2072

What are the slope, xx-intercept, and yy-intercept of the line represented by the equation? 4x+4y=84 x+4 y=8 slope =1,x=-1, x-intercept =4,y=4, y-intercept =4=4 4 slope =4,x=4, x-intercept =2,y=2, y-intercept =2=-2 slope =4,x=4, x-intercept =1,y=-1, y-intercept =2=2 slope =1,x=-1, x-intercept =2,y=2, y-intercept =2=2

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Problem 2073

18<3u18<-3 u

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Problem 2074

5y33y=3y+53y5 y-3-3 y=3 y+5-3 y

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Problem 2075

Video (文A) Select the expressions that are equivalent to 3a+8a3 a+8 a. a11a \cdot 11 10a+2a2a+a+8a6a+5a\begin{array}{c} 10 a+2 a \\ 2 a+a+8 a \\ 6 a+5 a \end{array}

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Problem 2076

[缡] Simplify the expression: 7.5p+8.3p+4.5p+10.87.5 p+-8.3 p+4.5 p+10.8 \square Submit

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Problem 2077

Solve the system of equations. x3yz=3x+8y4z=82x15y+7z=15\begin{aligned} x-3 y-z & =3 \\ -x+8 y-4 z & =-8 \\ 2 x-15 y+7 z & =15 \end{aligned}
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is \square \square \square (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are \square \square , zz ), where zz is any real number. (Type exact answers in simplified form.) C. There is no solution.

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Problem 2078

Which expression is equivalent to 15(207y+10)?\frac{1}{5}(20-7 y+10) ?
Choose the correct answer below. A. 135y-\frac{13}{5} y B. 675y6-\frac{7}{5} y C. 135y\frac{13}{5} y D. 6+75y6+\frac{7}{5} y. Help me solve this View an example

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Problem 2079

Solve the system of equations. x2yz=2x+6y3z=62x11y+5z=11\begin{aligned} x-2 y-z & =2 \\ -x+6 y-3 z & =-6 \\ 2 x-11 y+5 z & =11 \end{aligned}
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is \square , \square \square (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are \square , , z), where zz is any real number. (Type exact answers in simplified form.) C. There is no solution.

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Problem 2080

Solve the given system of equations. {xy=25x5z=255y+z=15\left\{\begin{array}{rr} x-y= & 2 \\ 5 x-5 z= & 25 \\ 5 y+z= & 15 \end{array}\right.
What is the solution? Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is \square \square \square (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are \square , , z) , where zz is any real number. (Type exact answers in simplified form.) C. There is no solution.

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Problem 2081

WHAT IS THE SLOPE OF ALINE A) PARALLEL ANO B) PERPENOICULAR TO EACH OF THE FOLLOWING? 2xy=72 x-y=7 5) PARALLEL SLOPE: \qquad 7) PERPENOICULAR SLOPE: y=25x+9y=\frac{2}{5} x+9 6) PARALLEL SLDPE: \qquad \qquad 8)PERPENDICULAR SLOPE:- \qquad A LINE CONTAINING THE POINTS: P1(7,15)P2(25,15)P_{1}(7,-15) P_{2}(25,-15) 9) PARALLEL SLOPE: \qquad 10) PERPENDICULAR SLOPE: \qquad WRITE THE EQUATION OF A LINE CONTAINING THE FOLLOW ING POINTS 11) P1(2,5);P2(0,9)P_{1}(2,5) ; P_{2}(0,9) 12) P1(8,3);P2(8,32)P_{1}(8,3) ; P_{2}(8,32)
WRITE THE EQUATION OF A LINE WITH THE FOLLOWING INFORMATION 13) m=4ym=4 \quad y-intercept: (0,9)(0,-9) 14) PERPENDICULAR TO: x+3y=5x+3 y=5 AND CONTAIN 15) m=0m=0 point: (1,8)(-1,8) the point (0,6)(0,6)

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Problem 2082

Solve: 2(x+1)>4(x1)2(x+1)>4(x-1) A. x>3x>3 B. x<3x<-3 C. x<3x<3 D. x>3x>-3

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Problem 2083

Solve the following inequality for xx. A. x<8.4x<8.4 10x+8>92-10 x+8>-92 B. x>8.4x>8.4 C. x>10x>10 D. x<10x<10

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Problem 2084

Solve the following inequality for xx. 9.5x+3>989.5 x+3>98 A. x>10.63x>10.63 B. x<10.63x<10.63 C. x>10x>10 D. x<10x<10

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Problem 2085

Solve for xx. 10x<12+4x10 x<12+4 x A. x>3x>3 B. x<3x<3 C. x>2x>2 D. x<2x<2 Reset Submit

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Problem 2086

Solve the system, if possible. {x+2yz=14x6y+z=124x+6y3z=10\left\{\begin{aligned} x+2 y-z & =1 \\ 4 x-6 y+z & =-12 \\ -4 x+6 y-3 z & =10 \end{aligned}\right.
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is (1,32,1)\left(-1, \frac{3}{2}, 1\right) (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are (Type exact answers in simplified form.) \square \square , z), where zz is any real number C. There is no solution.

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Problem 2087

Solve the system, if possible. {x+2yz=14x6y+z=124x+6y3z=10\left\{\begin{aligned} x+2 y-z & =1 \\ 4 x-6 y+z & =-12 \\ -4 x+6 y-3 z & =10 \end{aligned}\right.
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is (1,32,1)\left(-1, \frac{3}{2}, 1\right) (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are (Type exact answers in simplified form.) \square \square , z), where zz is any real number C. There is no solution.

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Problem 2088

Directions: Select all the correct locations on the tables. A soccer coach is buying uniforms for his team and has a budget of $1,650\$ 1,650. There are 25 players on the team, and each player will receive one jersey and one pair of shorts. The total cost of shorts for the team is $512.50\$ 512.50. The coach wants to know how much he can afford to spend per jersey and stay within the budget. Disregard any taxes or other additional costs associated with ordering the uniforms.
Determine the correct representation or interpretation of xx, the cost per jersey, in each table. \begin{tabular}{|c|} \hline Algebraic \\ \hline 25x+512.51,65025 x+512.5 \geq 1,650 \\ \hline 25x+512.51,65025 x+512.5 \leq 1,650 \\ \hline 25x+512.5>1,65025 x+512.5>1,650 \\ \hline 25x+512.5<1,65025 x+512.5<1,650 \\ \hline \end{tabular} \begin{tabular}{|c|} \hline Verbal \\ \hline \begin{tabular}{c} A jersey can cost no more \\ than $45.50\$ 45.50 \end{tabular} \\ \hline \begin{tabular}{c} A jersey can cost more than \\ $45.50\$ 45.50 \end{tabular} \\ \hline \begin{tabular}{c} A jersey must cost less than \\ $45.50\$ 45.50 \end{tabular} \\ \hline \end{tabular} 6 of 20 Answered Session Timer: 12:36 Session Score: 100\%

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Problem 2089

Solve the system, if possible. {x+2yz=14x6y+z=124x+6y3z=10\left\{\begin{aligned} x+2 y-z & =1 \\ 4 x-6 y+z & =-12 \\ -4 x+6 y-3 z & =10 \end{aligned}\right.
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is (1,32,1)\left(-1, \frac{3}{2}, 1\right) (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are (Type exact answers in simplified form.) \square \square , z), where zz is any real number C. There is no solution.

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Problem 2090

Solve the system, if possible. {x+2yz=15x4y+z=65x+8y3z=6\left\{\begin{aligned} x+2 y-z & =-1 \\ 5 x-4 y+z & =-6 \\ -5 x+8 y-3 z & =6 \end{aligned}\right.
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is \square \square \square ). (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are \square \square z), where zz is any real number.
(Type exact answers in simplified form.) C. There is no solution.

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Problem 2091

Solve the inequality below for tt. A. t0t \geq 0 214t29t2-14 t \geq 2-9 t B. t45t \geq \frac{4}{5} C. t0t \leq 0 D. t45t \leq \frac{4}{5}

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Problem 2092

Solve the following inequality for xx. 20+9x4x20+9 x \leq 4 x A. x1.54x \geq 1.54 B. x4x \geq-4 C. x1.54x \leq 1.54 D. x4x \leq-4

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Problem 2093

The length of a rectangle is 11 yd less than three times the width, and the area of the rectangle is 42yd242 \mathrm{yd}^{2}. Find the dimensions of the rectangle.
Length : \square yd
Width : \square yd

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Problem 2094

Write in slope-intercept form: 4.7.5) {6x9y=186x+9y=186x9y=186x+9y=18\left\{\begin{array}{l}6 x-9 y=18 \\ 6 x+9 y=-18\end{array} \quad 6 x-9 y=18 \quad 6 x+9 y=-18\right.
The system has \qquad solution(s) and the graphs \qquad

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Problem 2095

Find the slope and the yy-intercept. f(x)=2x3f(x)=-2 x-3
The slope is \square \square.
The yy-intercept is ( 0 , \square ).

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Problem 2096

the equation 2x+13x4=2\frac{2 x+1}{3}-\frac{x}{4}=2

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Problem 2097

Type your answer in each blank. A table of values for a linear function is shown. \begin{tabular}{|c|c|c|c|c|} \hlinexx & -4 & -2 & 1 & 4 \\ \hlineyy & 6 & 2 & -4 & -10 \\ \hline \end{tabular}
What is the rate of change of yy with respect to xx ? \square A student wrote the linear function 5x4y=165 x-4 y=16. What is the rate of yy with respect to xx of the function? \square
Submit Answer

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Problem 2098

Solve for uu. u9=46\frac{u}{9}=\frac{4}{6}
Simplify your answer as much as possible. u=u= \square
×\times 5 \square Explanation Check hD

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Problem 2099

82k=3k28-2 k=-3 k-2

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Problem 2100

A linear equation is given. y=8x5y=8-\frac{x}{5}
This \square a proportional relationship because

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