Analyze

Problem 11101

Graph the function $f(x)=-x^{2}+8x$ . Determine if it opens up or down, and find its vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

See Solution

Problem 11102

For the function $f(x)=-x^{2}+8x$ , find if it opens up or down, its vertex, axis of symmetry, and $x$ -intercepts.

See Solution

Problem 11103

Describe how $g(x)=f(x+5)-1$ transforms $f(x)=|x-9|$ and identify both graphs.

See Solution

Problem 11104

Find the vertex coordinates of the parabola defined by $f(x)=4(x-2)^{2}-1$ . Answer as an ordered pair.

See Solution

Problem 11105

For the function $f(x)=-2 x^{2}+2 x-3$ , graph it and find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

See Solution

Problem 11106

Graph the function $f(x)=-x^{2}-4x$ : does it open up or down? Find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

See Solution

Problem 11107

Graph the function $f(x)=-x^{2}-4x$ . Determine if it opens up or down, and find the vertex, axis of symmetry, and intercepts.

See Solution

Problem 11108

Given $N = 6$ scores with mean $M = 4$ , find total distances above and below the mean for the scores provided.

See Solution

Problem 11109

Which substance has the highest carbon-to-nitrogen ratio: fruit waste ( $35:1$ ), vegetable waste ( $12-25:1$ ), paper ( $170-200:1$ ), or sawdust ( $200-500:1$ )?

See Solution

Problem 11110

Classify the equation $3(x-2)=4(7-2 x)+11 x$ as conditional, identity, or contradiction.

See Solution

Problem 11111

Classify the equation $4(x-6)+5x=5x+4(x-6)$ as conditional, identity, or contradiction.

See Solution

Problem 11112

If a group plays 4 games, how much more do they spend buying single games at \$4.40 each vs. 2-game packs at \$8.40?

See Solution

Problem 11113

Choose the graph of $f(x)=3$ and its parent function. Describe the transformation.

See Solution

Problem 11114

Find the natural numbers in the range from 14 to 190, inclusive.

See Solution

Problem 11115

Is $10$ an element of the set $\{20,30,40,50,60\}$ ?

See Solution

Problem 11116

4 is not an element of the set of odd numbers {1, 3, 5, 7, ...}.

See Solution

Problem 11117

Are the sets $\{73,68,20\}$ and $\{68,20,73\}$ equal, equivalent, both, or neither?

See Solution

Problem 11118

Are the sets $\{ \text{first}, \text{second}, \text{third} \}$ and $\{1, 2, 3\}$ equal, equivalent, both, or neither?

See Solution

Problem 11119

Fill in the blanks with $\subseteq$ , $\nsubseteq$ , or $\subset$ : $\{11,12,13\} \_\{10,11,12,13\}$ .

See Solution

Problem 11120

Compare -2 + 3 and 1 using $<$ , $>$ , or $=$ .

See Solution

Problem 11121

You have an interest-free loan for a boat with equal monthly payments. What's the correct slope interpretation?
a. Slope is $-\frac{4}{5}$ , decrease of \$. 80/month.
b. Slope is $-\frac{4}{5}$ , decrease of \$. 100 every 4 months.
c. Slope is $-\frac{5}{4}$ , decrease of \$. 125/month.
d. Slope is $-\frac{5}{4}$ , decrease of \$. 100 every 1.25 months.

See Solution

Problem 11122

Determine if the statement $C \subset D$ is true or false, given the sets $A=\{1,3,5,7\}$ , $B=\{5,6,7,8\}$ , $C=\{5,8\}$ , $D=\{2,5,8\}$ , and $U=\{1,2,3,4,5,6,7,8\}$ . If false, explain why.

See Solution

Problem 11123

Find Jenna's score value if she got 85, and Jacob's z-score if he got 65, given average 78 and SD 7.

See Solution

Problem 11124

Choose the graph of $g(x)=|x-5|$ and its parent function. Describe the transformation. See the provided graph.

See Solution

Problem 11125

Physicians' Hospital has \$54,000 in A/R and \$1,100 in allowance. Uncollectibles are estimated at 15%. Find adjustments and net A/R.

See Solution

Problem 11126

Graph the equation $-2x + 2y = -4$ using its intercepts.

See Solution

Problem 11127

Determine if the following statements are True or False about unit rates: a. The ratio $\frac{3}{8}$ to $\frac{1}{2}$ has a unit rate of $\frac{3}{16}$ . b. The ratio $9: \frac{1}{6}$ has a unit rate of 54. c. The ratio $\frac{2}{5}: \frac{1}{4}$ has a unit rate of $\frac{8}{5}$ . d. The ratio $5 \frac{1}{2}: 1 \frac{1}{2}$ has a unit rate of $3 \frac{2}{3}$ .

See Solution

Problem 11128

Identify the term for a statement with a hypothesis and conclusion that must be proven: definition, diagram, postulate, or theorem?

See Solution

Problem 11129

Estimate the number of bus seats needed for 173 third graders and 124 fourth graders if each seat fits 3 students.

See Solution

Problem 11130

What is the effective buffering range for acetic acid with a pKa of 4.76?

See Solution

Problem 11131

Solve the system of equations: $35x - 40y = -20$ and $42x - 48y = -24$ .

See Solution

Problem 11132

Identify a scenario that fits the inequality $x<56$ .

See Solution

Problem 11133

What is the expression for the quotient of a number $n$ divided by 4?

See Solution

Problem 11134

Find the point on the function $y=\frac{1}{2}|x+1|$ given that $(-8,8)$ is on the parent function.

See Solution

Problem 11135

Order of Operations: Find the missing expressions for Step 2 and Step 6 in the calculation of $\left(\frac{6^{2}+2}{|-0.5|}\right)-14.8 \div 8$ .

See Solution

Problem 11136

Check if the beetle population doubles weekly and complete the table:
$x$ (weeks): 0, 1, 2, 3, 4; $y$ (beetles): 2, 4, 9, 17, 33, ?

See Solution

Problem 11137

Check if vector $b = \begin{bmatrix} 13 \\ -7 \\ 7 \end{bmatrix}$ is a linear combo of columns of matrix $A = \begin{bmatrix} 1 & -3 & -4 \\ 0 & 6 & 3 \\ 3 & -9 & 11 \end{bmatrix}$ .

See Solution

Problem 11138

Redefine $9=1$ to find when this equation holds true.

See Solution

Problem 11139

If $x<6$ , show an appropriate inequality for $x-3$ . What is $x-3$ less than?

See Solution

Problem 11140

Find the value(s) of $h$ such that the vector $b=\left[\begin{array}{l}5 \\ 3 \\ h\end{array}\right]$ lies in the plane spanned by $a_{1}=\left[\begin{array}{r}1 \\ 3 \\ -1\end{array}\right]$ and $a_{2}=\left[\begin{array}{r}-5 \\ -11 \\ 2\end{array}\right]$ . The value(s) of $h$ is(are) $\square$ .

See Solution

Problem 11141

Ayumi cooked meals for 80 people. What property did she use in Step 3: $(27+13)+(21+19)$ ?

See Solution

Problem 11142

If $x(x+2)>0$ , is $x$ necessarily positive? Yes or No?

See Solution

Problem 11143

Do the vectors $\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}$ span $\mathbb{R}^{4}$ ? Choose A, B, C, or D for the answer.

See Solution

Problem 11144

Graph the line represented by the equation $x=-2$ .

See Solution

Problem 11145

Solve the compound inequality $10 \leq t+15 < 18$ for $t$ and graph it, changing one endpoint from closed to open.

See Solution

Problem 11146

Graph the solution to the compound inequality $4 \geq y + 14 > -3$ . Plot endpoints, change one to open, and delete a segment.

See Solution

Problem 11147

Solve the inequality $-\frac{3}{4} d - 5 < \frac{1}{4} d + 7$ .

See Solution

Problem 11148

A cube's volume increases at $3 \frac{1}{2} \mathrm{~cm}^{3} \mathrm{~s}^{-1}$ . Find the base's change rate when length is $6 \mathrm{~cm}$ .

See Solution

Problem 11149

Fill in the missing values for the equations based on initial values, growth/decay type, and rates in the table.

See Solution

Problem 11150

Solve the system of equations: $-x + 4y = -16$ .

See Solution

Problem 11151

Solve the inequalities $\frac{4 d+7}{3}>5$ or $-3 d+4 \geq 19$ . Plot endpoints, change one from closed to open, and delete a middle segment.

See Solution

Problem 11152

Solve the system of equations: $4x + 7y = 9$ and $-12x - 21y = -6$ .

See Solution

Problem 11153

Identify if each expression matches "negative seven times the quantity triple $m$ minus eleven."

See Solution

Problem 11154

10. Which expressions can evaluate $418(27)$ ? (A) $418(20-7)$ (B) $(420-2)(27)$ (C) $(400-18)(27)$ (D) $(418)(20+7)$ (E) $(418)(30-3)$
11. Does each expression equal negative seven times triple $m$ minus eleven? $-7(m^{3}-11)$ $-7(3 m)-7(-11)$ $-21 m-77$ $-21 m+77$ $-21 m-11$ $-7 m^{3}+77$
12. What is the simplified form of $-8(2 m+9 k-13)$ ? (A) $-16 m+9 k-13$ (B) $-16 m-72 k+104$ (C) $-16 m-72 k-104$ (D) $16 m-72 k-104$

See Solution

Problem 11155

Evaluate $5\left[13-\left(3^{2}+2^{2}\right)\right]$ and find which is NOT equivalent to $2 \cdot 3 \frac{5}{6}+2 \cdot 12+2 \cdot 1 \frac{1}{6}$ .

See Solution

Problem 11156

Solve the inequality $-10(d+3)<10$ , plot endpoints, change one to open, and delete the middle segment or ray.

See Solution

Problem 11157

Solve the inequality $2(u+1)-2>8$ , plot the endpoints, and change one from closed to open. Delete the middle segment.

See Solution

Problem 11158

Solve the equation $3x - 4y = -8$ for $y$ when $x = -4, 0, 4$ .

See Solution

Problem 11159

Find the derivative, integral, domain, range, and solution for the function $g(x)=\ln(2x-4)$ .

See Solution

Problem 11160

Identify the subsets of real numbers for these expressions: a. $0-10$ Irrational b. $-3+\sqrt{3}$ Rational c. $\frac{5}{12}+4 \frac{1}{3}$ Integers d. $7 \times \sqrt{49}$ Whole Numbers

See Solution

Problem 11161

Is $\frac{\sqrt{10}}{5}$ rational? Is $\sqrt{18} - 3$ rational? Can two irrational numbers sum/quotient to rational? Explain.

See Solution

Problem 11162

Evaluate the limit using the Squeeze Theorem: $\lim _{x \rightarrow 0} x^{2} \cos \left(\frac{1}{x^{2}}\right)$ .

See Solution

Problem 11163

Given $g(x, y, z)=0.07 x+0.02 y-0.09 z-0.01$ , complete: (a) $g$ changes by _ for 1 unit increase in $z$ . (b) $g$ changes by _ for 1 unit increase in $x$ . (c) $g$ increases by 0.02 for _ in _

See Solution

Problem 11164

Alicia has 32 inches of trim for a square photo with an area of 60 square inches. Is this enough for all sides?

See Solution

Problem 11165

Calculate the following:
1. $(g+h)(x)$
2. $(h-f)(x)$
3. $(f-h)(x)$
4. $(g \circ f)(x)$
5. Functions: $f(x)=x-1$ , $g(x)=x^{2}-1$ , $h(x)=3x^{3}-2x-1$

See Solution

Problem 11166

Which expression is equivalent to $(\sqrt[5]{8})^{4}$ using rational exponents? Options: $\left(\frac{4}{5}\right)^{8}$ , $\left(\frac{4}{5}\right)^{1 / 8}$ , $8^{5 / 4}$ , $8^{4 / 5}$ .

See Solution

Problem 11167

Miguel calculated the quotient $\frac{5.78 \times 10^{5}}{0.000002}$ as 0.289. Identify his error.

See Solution

Problem 11168

Operate the functions: $f(x)=x-1$ , $g(x)=x^{2}-1$ , $h(x)=3x^{2}-2x-1$ . Find $(g+h)(x)$ , $(h-f)(x)$ , $(f-h)(x)$ .

See Solution

Problem 11169

What is the maximum food cost for a tiramisu if it can't sell for more than \$8.00 and food cost is max 20%?

See Solution

Problem 11170

Weekly cost to make $x$ cars and $y$ trucks is $C(x, y)=240,000+6,000x+4,000y$ . Find marginal costs and describe graphs.

See Solution

Problem 11171

Find all values of $a$ where $\lim_{x \to a} f(x)$ exists for the piecewise function $f(x)$ defined above.

See Solution

Problem 11172

Determine if the limits $L_{1} = \lim _{x \rightarrow 0+} \sin(\frac{\pi}{x})$ and $L_{2} = \lim _{x \rightarrow 0-} \sin(\frac{\pi}{x})$ exist.

See Solution

Problem 11173

Find the missing numbers in the pattern:
4 × \_ = 32, 40 × \_ = 320, 400 × \_ = 3,200, 4,000 × \_ = 32,000, 40,000 × \_ = 320,000, 400,000 × \_ = 3,200,000, 4,000,000 × \_ = 32,000,000.

See Solution

Problem 11174

Calculate $80 \times 8$ and $800 \times 8$ .

See Solution

Problem 11175

Estimate values for the function $f(x, y)$ based on given level curves for $c=-2,0,2$ .
(i) (a) Estimate $f(-1,1)$ . (b) Estimate $f(2,1)$ . (c) Estimate $f(3,-2.5)$ .

See Solution

Problem 11176

Find the mean number of whales spotted given the frequencies: 8 (2), 9 (1), 10 (2), 11 (2), 12 (4), 13 (2), 14 (3), 15 (3).

See Solution

Problem 11177

Find the points where $f(x, y)$ reaches its maximum value based on the level curves for $c=-2, 0, 2, 4, 6$ .

See Solution

Problem 11178

Identify the parent function of the graph given by the equation $y=4$ .

See Solution

Problem 11179

Define $E=\{v \mid v<4\}$ and $F=\{v \mid v \geq 7\}$ . Find $E \cup F$ and $E \cap F$ in interval notation.

See Solution

Problem 11180

Determine the mode of these safety pin counts: 14, 15, 15, 15, 5, 18, 15, 12, 5. Answer: mode = \square safety pins.

See Solution

Problem 11181

Define sets $A=\{x \mid x \geq 1\}$ and $B=\{x \mid x>6\}$ . Find $A \cap B$ and $A \cup B$ in interval notation.

See Solution

Problem 11182

Find the average velocity of a ball thrown upward on the moon, given $y(t)=25t-3t^2$ , over the interval from 1 to $1+h$ .

See Solution

Problem 11183

Sketch the graph of $g(x)=2[x]$ for the domain $[0,5)$ .

See Solution

Problem 11184

Find the union $D \cup E$ and intersection $D \cap E$ of the sets $D=\{y \mid y>4\}$ and $E=\{y \mid y \leq 5\}$ .

See Solution

Problem 11185

Find the equilibrium quantity and price for 2014 using the given supply and demand data.
$q=\square, p=\$$

See Solution

Problem 11186

Evaluate the functions: 1. $(h \circ g)(x)$ and 2. $2 \cdot [f \circ (g \circ g)](x)$ , where $g(x)=3x-2$ , $f(x)=\sqrt{-x}$ , $h(x)=\frac{3}{x+4}$ .

See Solution

Problem 11187

Estimate the heart rate after 42 min using the secant line between the following points: (a) $t=36$ and $t=42$ , (b) $t=38$ and $t=42$ , (c) $t=40$ and $t=42$ , (d) $t=42$ and $t=44$ . What are your conclusions?

See Solution

Problem 11188

A ball is thrown with a velocity of $40 \mathrm{ft/s}$ . Find average velocity from $t=2$ for (a) 0.5s, 0.05s, 0.1s, 0.01s and (b) instantaneous velocity at $t=2$ .

See Solution

Problem 11189

Determine the mode of these exercise hours: 2, 14, 14, 4, 2, 4, 1, 14, 4, 4, 8.

See Solution

Problem 11190

Determine if the mean or median better represents the center of the data set: 31, 32, 31, 34, 30, 30, 31, 31, 30, 31.

See Solution

Problem 11191

Find the mode of chocolates eaten by guests: 11, 14, 12, 14, 10, 12, 10, 10, 12, 12, 11, 6.

See Solution

Problem 11192

Can an object have negative velocity with positive acceleration? Explain. Can velocity be positive with negative acceleration?

See Solution

Problem 11193

Find the mean number of sports drinks consumed by 26 participants, given frequencies: 7, 5, 4, 4, 3, 2, 1. Round to the nearest tenth.

See Solution

Problem 11194

Find the prime factorization of 72 and the largest perfect square factor.

See Solution

Problem 11195

Find the discriminant and the real solutions for the equation: $-9 x^{2}-6 x-1=0$ .

See Solution

Problem 11196

Find a number to complete the expression as a perfect square: $x^{2}+6x+10$ .

See Solution

Problem 11197

Plot five points on the parabola $y=-\frac{3}{4} x^{2}$ : the vertex and two points on each side of it.

See Solution

Problem 11198

Graph the solution to the inequality $(x+4)(x-6) \leq 0$ on a number line.

See Solution

Problem 11199

Determine if the function $f(x)=-2 x^{2}+12 x-20$ has a minimum or maximum, and find its value and location.

See Solution

Problem 11200

Find points that divide a segment into four equal parts.

See Solution

1 ...109 110 111 112 113 114 115 ...160

Analyze

Problem 11101

Graph the function f(x)=−x2+8xf(x)=-x^{2}+8xf(x)=−x2+8x. Determine if it opens up or down, and find its vertex, axis of symmetry, yyy-intercept, and xxx-intercepts.

Problem 11102

For the function f(x)=−x2+8xf(x)=-x^{2}+8xf(x)=−x2+8x, find if it opens up or down, its vertex, axis of symmetry, and xxx-intercepts.

Problem 11103

Describe how g(x)=f(x+5)−1g(x)=f(x+5)-1g(x)=f(x+5)−1 transforms f(x)=∣x−9∣f(x)=|x-9|f(x)=∣x−9∣ and identify both graphs.

Problem 11104

Find the vertex coordinates of the parabola defined by f(x)=4(x−2)2−1f(x)=4(x-2)^{2}-1f(x)=4(x−2)2−1. Answer as an ordered pair.

Problem 11105

For the function f(x)=−2x2+2x−3f(x)=-2 x^{2}+2 x-3f(x)=−2x2+2x−3, graph it and find the vertex, axis of symmetry, yyy-intercept, and xxx-intercepts.

Problem 11106

Graph the function f(x)=−x2−4xf(x)=-x^{2}-4xf(x)=−x2−4x: does it open up or down? Find the vertex, axis of symmetry, yyy-intercept, and xxx-intercepts.

Problem 11107

Graph the function f(x)=−x2−4xf(x)=-x^{2}-4xf(x)=−x2−4x. Determine if it opens up or down, and find the vertex, axis of symmetry, and intercepts.

Problem 11108

Given N=6N = 6N=6 scores with mean M=4M = 4M=4, find total distances above and below the mean for the scores provided.

Problem 11109

Which substance has the highest carbon-to-nitrogen ratio: fruit waste (35:135:135:1), vegetable waste (12−25:112-25:112−25:1), paper (170−200:1170-200:1170−200:1), or sawdust (200−500:1200-500:1200−500:1)?

Problem 11110

Classify the equation 3(x−2)=4(7−2x)+11x3(x-2)=4(7-2 x)+11 x3(x−2)=4(7−2x)+11x as conditional, identity, or contradiction.

Problem 11111

Classify the equation 4(x−6)+5x=5x+4(x−6)4(x-6)+5x=5x+4(x-6)4(x−6)+5x=5x+4(x−6) as conditional, identity, or contradiction.

Problem 11112

If a group plays 4 games, how much more do they spend buying single games at \$4.40 each vs. 2-game packs at \$8.40?

Problem 11113

Choose the graph of f(x)=3f(x)=3f(x)=3 and its parent function. Describe the transformation.

Problem 11114

Find the natural numbers in the range from 14 to 190, inclusive.

Problem 11115

Is 101010 an element of the set {20,30,40,50,60}\{20,30,40,50,60\}{20,30,40,50,60}?

Problem 11116

4 is not an element of the set of odd numbers {1, 3, 5, 7, ...}.

Problem 11117

Are the sets {73,68,20}\{73,68,20\}{73,68,20} and {68,20,73}\{68,20,73\}{68,20,73} equal, equivalent, both, or neither?

Problem 11118

Are the sets {first,second,third}\{ \text{first}, \text{second}, \text{third} \}{first,second,third} and {1,2,3}\{1, 2, 3\}{1,2,3} equal, equivalent, both, or neither?

Problem 11119

Fill in the blanks with ⊆\subseteq⊆, ⊈\nsubseteq⊈, or ⊂\subset⊂: {11,12,13}_{10,11,12,13}\{11,12,13\} \_\{10,11,12,13\}{11,12,13}_{10,11,12,13}.

Problem 11120

Compare -2 + 3 and 1 using <<<, >>>, or ===.

Problem 11121

Problem 11122

Determine if the statement C⊂DC \subset DC⊂D is true or false, given the sets A={1,3,5,7}A=\{1,3,5,7\}A={1,3,5,7}, B={5,6,7,8}B=\{5,6,7,8\}B={5,6,7,8}, C={5,8}C=\{5,8\}C={5,8}, D={2,5,8}D=\{2,5,8\}D={2,5,8}, and U={1,2,3,4,5,6,7,8}U=\{1,2,3,4,5,6,7,8\}U={1,2,3,4,5,6,7,8}. If false, explain why.

Problem 11123

Find Jenna's score value if she got 85, and Jacob's z-score if he got 65, given average 78 and SD 7.

Problem 11124

Choose the graph of g(x)=∣x−5∣g(x)=|x-5|g(x)=∣x−5∣ and its parent function. Describe the transformation. See the provided graph.

Problem 11125

Physicians' Hospital has \$54,000 in A/R and \$1,100 in allowance. Uncollectibles are estimated at 15%. Find adjustments and net A/R.

Problem 11126

Graph the equation −2x+2y=−4-2x + 2y = -4−2x+2y=−4 using its intercepts.

Problem 11127

Problem 11128

Identify the term for a statement with a hypothesis and conclusion that must be proven: definition, diagram, postulate, or theorem?

Problem 11129

Estimate the number of bus seats needed for 173 third graders and 124 fourth graders if each seat fits 3 students.

Problem 11130

What is the effective buffering range for acetic acid with a pKa of 4.76?

Problem 11131

Solve the system of equations: 35x−40y=−2035x - 40y = -2035x−40y=−20 and 42x−48y=−2442x - 48y = -2442x−48y=−24.

Problem 11132

Identify a scenario that fits the inequality x<56x<56x<56.

Problem 11133

What is the expression for the quotient of a number nnn divided by 4?

Problem 11134

Find the point on the function y=12∣x+1∣y=\frac{1}{2}|x+1|y=21​∣x+1∣ given that (−8,8)(-8,8)(−8,8) is on the parent function.

Problem 11135

Order of Operations: Find the missing expressions for Step 2 and Step 6 in the calculation of (62+2∣−0.5∣)−14.8÷8\left(\frac{6^{2}+2}{|-0.5|}\right)-14.8 \div 8(∣−0.5∣62+2​)−14.8÷8.

Problem 11136

Check if the beetle population doubles weekly and complete the table: xxx (weeks): 0, 1, 2, 3, 4; yyy (beetles): 2, 4, 9, 17, 33, ?

Problem 11137

Check if vector b=[13−77]b = \begin{bmatrix} 13 \\ -7 \\ 7 \end{bmatrix}b=⎣⎡​13−77​⎦⎤​ is a linear combo of columns of matrix A=[1−3−40633−911]A = \begin{bmatrix} 1 & -3 & -4 \\ 0 & 6 & 3 \\ 3 & -9 & 11 \end{bmatrix}A=⎣⎡​103​−36−9​−4311​⎦⎤​.

Problem 11138

Redefine 9=19=19=1 to find when this equation holds true.

Problem 11139

If x<6x<6x<6, show an appropriate inequality for x−3x-3x−3. What is x−3x-3x−3 less than?

Problem 11140

Problem 11141

Ayumi cooked meals for 80 people. What property did she use in Step 3: (27+13)+(21+19)(27+13)+(21+19)(27+13)+(21+19)?

Graph the function $f(x)=-x^{2}+8x$ . Determine if it opens up or down, and find its vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

For the function $f(x)=-x^{2}+8x$ , find if it opens up or down, its vertex, axis of symmetry, and $x$ -intercepts.

Describe how $g(x)=f(x+5)-1$ transforms $f(x)=|x-9|$ and identify both graphs.

Find the vertex coordinates of the parabola defined by $f(x)=4(x-2)^{2}-1$ . Answer as an ordered pair.

For the function $f(x)=-2 x^{2}+2 x-3$ , graph it and find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

Graph the function $f(x)=-x^{2}-4x$ : does it open up or down? Find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

Graph the function $f(x)=-x^{2}-4x$ . Determine if it opens up or down, and find the vertex, axis of symmetry, and intercepts.

Given $N = 6$ scores with mean $M = 4$ , find total distances above and below the mean for the scores provided.

Which substance has the highest carbon-to-nitrogen ratio: fruit waste ( $35:1$ ), vegetable waste ( $12-25:1$ ), paper ( $170-200:1$ ), or sawdust ( $200-500:1$ )?

Classify the equation $3(x-2)=4(7-2 x)+11 x$ as conditional, identity, or contradiction.

Classify the equation $4(x-6)+5x=5x+4(x-6)$ as conditional, identity, or contradiction.

Choose the graph of $f(x)=3$ and its parent function. Describe the transformation.

Is $10$ an element of the set $\{20,30,40,50,60\}$ ?

Are the sets $\{73,68,20\}$ and $\{68,20,73\}$ equal, equivalent, both, or neither?

Are the sets $\{ \text{first}, \text{second}, \text{third} \}$ and $\{1, 2, 3\}$ equal, equivalent, both, or neither?

Fill in the blanks with $\subseteq$ , $\nsubseteq$ , or $\subset$ : $\{11,12,13\} \_\{10,11,12,13\}$ .

Compare -2 + 3 and 1 using $<$ , $>$ , or $=$ .

Determine if the statement $C \subset D$ is true or false, given the sets $A=\{1,3,5,7\}$ , $B=\{5,6,7,8\}$ , $C=\{5,8\}$ , $D=\{2,5,8\}$ , and $U=\{1,2,3,4,5,6,7,8\}$ . If false, explain why.

Choose the graph of $g(x)=|x-5|$ and its parent function. Describe the transformation. See the provided graph.

Graph the equation $-2x + 2y = -4$ using its intercepts.

Solve the system of equations: $35x - 40y = -20$ and $42x - 48y = -24$ .

Identify a scenario that fits the inequality $x<56$ .

What is the expression for the quotient of a number $n$ divided by 4?

Find the point on the function $y=\frac{1}{2}|x+1|$ given that $(-8,8)$ is on the parent function.

Order of Operations: Find the missing expressions for Step 2 and Step 6 in the calculation of $\left(\frac{6^{2}+2}{|-0.5|}\right)-14.8 \div 8$ .

Check if the beetle population doubles weekly and complete the table:
$x$ (weeks): 0, 1, 2, 3, 4; $y$ (beetles): 2, 4, 9, 17, 33, ?

Check if vector $b = \begin{bmatrix} 13 \\ -7 \\ 7 \end{bmatrix}$ is a linear combo of columns of matrix $A = \begin{bmatrix} 1 & -3 & -4 \\ 0 & 6 & 3 \\ 3 & -9 & 11 \end{bmatrix}$ .

Redefine $9=1$ to find when this equation holds true.

If $x<6$ , show an appropriate inequality for $x-3$ . What is $x-3$ less than?

Ayumi cooked meals for 80 people. What property did she use in Step 3: $(27+13)+(21+19)$ ?

If $x(x+2)>0$ , is $x$ necessarily positive? Yes or No?

Do the vectors $\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}$ span $\mathbb{R}^{4}$ ? Choose A, B, C, or D for the answer.

Graph the line represented by the equation $x=-2$ .

Solve the compound inequality $10 \leq t+15 < 18$ for $t$ and graph it, changing one endpoint from closed to open.

Graph the solution to the compound inequality $4 \geq y + 14 > -3$ . Plot endpoints, change one to open, and delete a segment.

Solve the inequality $-\frac{3}{4} d - 5 < \frac{1}{4} d + 7$ .

A cube's volume increases at $3 \frac{1}{2} \mathrm{~cm}^{3} \mathrm{~s}^{-1}$ . Find the base's change rate when length is $6 \mathrm{~cm}$ .

Solve the system of equations: $-x + 4y = -16$ .

Solve the inequalities $\frac{4 d+7}{3}>5$ or $-3 d+4 \geq 19$ . Plot endpoints, change one from closed to open, and delete a middle segment.

Solve the system of equations: $4x + 7y = 9$ and $-12x - 21y = -6$ .

Identify if each expression matches "negative seven times the quantity triple $m$ minus eleven."

Evaluate $5\left[13-\left(3^{2}+2^{2}\right)\right]$ and find which is NOT equivalent to $2 \cdot 3 \frac{5}{6}+2 \cdot 12+2 \cdot 1 \frac{1}{6}$ .

Solve the inequality $-10(d+3)<10$ , plot endpoints, change one to open, and delete the middle segment or ray.

Solve the inequality $2(u+1)-2>8$ , plot the endpoints, and change one from closed to open. Delete the middle segment.

Solve the equation $3x - 4y = -8$ for $y$ when $x = -4, 0, 4$ .

Find the derivative, integral, domain, range, and solution for the function $g(x)=\ln(2x-4)$ .

Identify the subsets of real numbers for these expressions: a. $0-10$ Irrational b. $-3+\sqrt{3}$ Rational c. $\frac{5}{12}+4 \frac{1}{3}$ Integers d. $7 \times \sqrt{49}$ Whole Numbers

Is $\frac{\sqrt{10}}{5}$ rational? Is $\sqrt{18} - 3$ rational? Can two irrational numbers sum/quotient to rational? Explain.

Evaluate the limit using the Squeeze Theorem: $\lim _{x \rightarrow 0} x^{2} \cos \left(\frac{1}{x^{2}}\right)$ .

Given $g(x, y, z)=0.07 x+0.02 y-0.09 z-0.01$ , complete: (a) $g$ changes by _ for 1 unit increase in $z$ . (b) $g$ changes by _ for 1 unit increase in $x$ . (c) $g$ increases by 0.02 for _ in _

Calculate the following:
1. $(g+h)(x)$
2. $(h-f)(x)$
3. $(f-h)(x)$
4. $(g \circ f)(x)$
5. Functions: $f(x)=x-1$ , $g(x)=x^{2}-1$ , $h(x)=3x^{3}-2x-1$

Which expression is equivalent to $(\sqrt[5]{8})^{4}$ using rational exponents? Options: $\left(\frac{4}{5}\right)^{8}$ , $\left(\frac{4}{5}\right)^{1 / 8}$ , $8^{5 / 4}$ , $8^{4 / 5}$ .

Miguel calculated the quotient $\frac{5.78 \times 10^{5}}{0.000002}$ as 0.289. Identify his error.

Operate the functions: $f(x)=x-1$ , $g(x)=x^{2}-1$ , $h(x)=3x^{2}-2x-1$ . Find $(g+h)(x)$ , $(h-f)(x)$ , $(f-h)(x)$ .

Weekly cost to make $x$ cars and $y$ trucks is $C(x, y)=240,000+6,000x+4,000y$ . Find marginal costs and describe graphs.

Find all values of $a$ where $\lim_{x \to a} f(x)$ exists for the piecewise function $f(x)$ defined above.

Determine if the limits $L_{1} = \lim _{x \rightarrow 0+} \sin(\frac{\pi}{x})$ and $L_{2} = \lim _{x \rightarrow 0-} \sin(\frac{\pi}{x})$ exist.

Find the missing numbers in the pattern:
4 × \_ = 32, 40 × \_ = 320, 400 × \_ = 3,200, 4,000 × \_ = 32,000, 40,000 × \_ = 320,000, 400,000 × \_ = 3,200,000, 4,000,000 × \_ = 32,000,000.

Calculate $80 \times 8$ and $800 \times 8$ .