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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

A cable company charges new customers a onetime installation fee and a monthly service fee for cable service. The equation

gives the total amount

in dollars, the cable company charges new customers for

months of cable service. What is the amount, in dollars, of the onetime installation fee the cable company charges new customers?

A170B120C70D0

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

Data set

is created by replacing the number 38 in data set

with the number 33. Which of the following statements is true about the means and medians of data set

and data set

Data set X: 13,16,19,21,24,25,25,26,38

Data set Y: 13,16,19,21,24,25,25,26,33

AThe mean of data set X is greater than the mean of data set Y, and the median of data set X equals the median of data set Y.BThe mean of data set X is greater than the mean of data set Y, and the median of data set X is greater than the median of data set Y.CThe mean of data set X equals the mean of data set Y, and the median of data set X equals the median of data set Y.DThe mean of data set X is less than the mean of data set Y,and the median of data

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

One of the two equations in a system of linear equations is given. The system has infinitely many solutions.Which equation could be the second equation in this system?

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

The given equation relates the resistance

, in ohms, of a wire to its length

, in meters, and its cross-sectional area

, in square meters. Which equation correctly expresses the length in meters,of the wire in terms of its resistance,in ohms,and its cross-sectional area,in square meters?

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

For the polynomial function

, the graph of

in the

-plane passes through the points

and

. Which of the following must be a factor of

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

Which shaded region represents the solutions to the inequality

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

The measure of angle

radians.The measure of angle

is 2 times the measure of angle

. Which expression represents the measure, in degrees, of angle

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

What is the

-intercept of the graph of

in the

-plane, where

and

are positive constants?

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

The ratio

is equivalent to the ratio 4 to 7. If

, what is the value of

in terms of

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

A research manager selected 2 random samples of ovens of a certain type to estimate the average amount of time this type of oven takes to preheat to 350 degrees Fahrenheit °F. The research manager recorded the amount of time, in minutes, each oven takes to preheat to350°F. Based on the first sample, the research manager estimated that this type of oven takes an average of 14.2 minutes to preheat to 350°F, with an associated margin of error of 1minute. Based on the second sample, the research manager estimated that this type of oven takes an average of 14.4 minutes to preheat to 350°F, with an associated margin of error of 2.2minutes. Assuming the margins of error were calculated the same way, which of the following best explains why the first sample obtained a smaller margin of error than the second sample?

AThe first sample contained fewer ovens than the second sampleBThe first sample contained more ovens than the second sample.CThe first sample took less time on average to preheat to 350°F than the second sample.DThe first sample took more time on average to preheat to 350°F than the second sample.

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

For the given function

, the value of

increases by p% for every increase of

by 8. What is the value of

A20B31C40D44

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

A model estimates that in a particular forest, the number of trees with any given diameter measured at shoulder height is 21% less for each 1-inch increase in tree diameter measured at shoulder height. The model can be written in the form

, where

and

are constants and

is the tree's diameter, in inches, measured at shoulder height, and

. The model estimatesthat3,100 trees in this forest have a diameter of 13 inches measured at shoulder height. Which function best represents this model?

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

The scatterplot shows the relationship between two variables, and .

Which of the following equations is the most appropriate linear model for the data shown?

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

The function

is defined by

, where

and

are constants. In the

-plane, the graph of

passes through the points

and

, where

is a constant. Which of the following could be the value of

A4B25C210D232

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

In triangle

, the measure of angle

is 56° and

. In triangle

, the measure of angle

is 56° and

. Which additional piece of information is sufficient to prove that triangle

is similar to triangle

and

CThe measures of angle

and angle

are 48° and 76°, respectively.DThe measures of angle

and angle

are 56°and 48°, respectively.

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

In the given equation,

and

are integer constants. The equation has exactly one real solution. Which is NOT a possible value of

A-22B14C25D314

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

, the value of

is between which of the following pairs of values?

A-7 and -5B-2 and 2C2 and 7D8 and 13

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

If x+3y=29 and 7x-12y=-61, what is the value of y?

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

In the xy-plane, line k has a slope of $\frac {6} {13}$ , an x-intercept of (-6,0), and a y-intercept of (0,p). What is the value of p?

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

The price of an item increased by p% from $ 90 to $ 93. What is the value of p?

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

For the exponential function g, the value of g(x) doubles for every increase of 2 in the value of x. If g(4)=9, what is the value of g(6)?

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Chapter 18 · 2026.3 : A-A (analysis included) · MATH 2

The graph of y=6x²+bx+c is shown, where b and c are constants. What is the value of bc?

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MATH 2 · 22 questions