math final

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x - 4.4. What is the residual value when x = 4?

0.58

Which polynomial is prime?

3x2 + x - 6x + 3

Joline is solving the equation 0 = x2 - 5x - 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: x =

-0.7

Which represents the polynomial written in standard form? 4m - 2m4 - 6m2 + 9

-2m4 - 6m2 + 4m + 9

Simplify the expression -3(x + 3)2 - 3 + 3x. What is the simplified expression in standard form?

-3x2 - 15x - 30

The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television. Madigan converts the frequency table to a conditional relative frequency table by row. Television Viewing Method Which value should she use for X? Round to the nearest hundredth.

0.30

The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics. Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics?

0.88

What is the multiplicative rate of change of the exponential function represented in the table?

1.5

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points. What is the standard deviation of scores for the tenth level?

215

Which number in the monomial 125x18y3z25 needs to be changed to make it a perfect cube?

25

What are the factors of 2x2 + 3x - 54? Select two options.

2x - 9 x + 6

The data set represents the number of rings each person in a room is wearing. 0, 2, 4, 0, 2, 3, 2, 8, 6 What is the interquartile range of the data?

4

Which term can be added to the list so that the greatest common factor of the three terms is 12h3? 36h3, 12h6, __________

48h5

What is the difference of the polynomials? (5x3 + 4x2) - (6x2 - 2x - 9)

5x3 - 2x2 + 2x + 9

The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent.

82%

What does a residual value of 1.3 mean when referring to the line of best fit of a data set?

A data point is 1.3 units above the line of best fit.

The box plot compares Marta's and Ani's diving scores in the first several meets of the season. Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season?

Ani was more successful because she had the greater measure of center.

Which graph represents a reflection of f(x) = (9)x across the x-axis?

C

The radius and circumference of several objects were measured. Which best describes the strength of the correlation, and what is true about the causation between the variables?

It is a strong positive correlation, and it is likely causal.

Which is true about the polynomial ?

It is a trinomial with a degree of 3.

The first few steps in deriving the quadratic formula are shown. Which best explains why is not added to the left side of the equation in the last step shown in the table?

The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Which is the best description of the graph of the function f(x) = 60()x?

The graph has an initial value of 60, and each successive term is determined by multiplying by .

Mr. Walker is looking at the fundraiser totals for the last five years. How does the mean of the totals compare to the median?

The mean is $1.60 greater than the median.

The image shows a geometric representation of the function f(x) = x2 - 2x - 6 written in standard form. What is this function written in vertex form?

f(x) = (x -1)2 - 7

Solve x2 + 12x = -11 by completing the square. Which is the solution set of the equation?

{-11, -1}

What are the domain and range of the function f(x) = 4?

{x| x is a real number}; {y| y > 0}

Which equation has an a-value of 1, a b-value of -3, and a c-value of -5?

0 = -3x - 5 + x2

Which polynomial is prime?

10x2 - 4x + 3x + 6

The tile along the edge of a triangular community pool needs to be replaced. Which expression represents the total perimeter of the pool edge?

12x2 + 8x + 25

Which are differences of perfect cubes? Select two options.

216a6 - 27y3 8a15 - 27

Susu is solving the quadratic equation 4x2-8x-13=0 by completing the square. Her first four steps are shown in the table. In which step did Susu first make an error?

Step 2

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

a2b(7 + 10b + 14b2)

What is f(x) = 7x2 + 42x written in vertex form?

f(x) = 7(x + 3)2 - 63

The equation x2 - 1x - 90 = 0 has solutions {a, b}. What is a + b?

1

What are the domain and range of f(x) = 4x - 8?

domain: {x | x is a real number}; range: {y | y > -8}

The minimum of the graph of a quadratic function is located at (-1, 2). The point (2, 20) is also on the parabola. Which function represents the situation?

f(x) = 2(x + 1)2 + 2

The graph of which function has an axis of symmetry at x = ?

f(x) = 2x2 + x - 1

Which is most likely the correlation coefficient for the set of data shown?

0.872

What is the vertex of the function f(x) = x2 + 12x?

(-6, -36)

The diagram represents the polynomial 4x2 + 23x - 72. What is the factored form of 4x2 + 23x - 72?

(4x - 9)(x + 8)

What is the factored form of x2 - 6x - 16?

(x - 8)(x + 2)

A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. A cross-section of the road can be represented on a graph using the function f(x) = (x - 16)(x + 16), where x represents the distance from the center of the road, in feet. Rounded to the nearest tenth, what is the maximum height of the road, in feet?

1.3

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

f(x) = 85(1 - 0.25)x

Which function has real zeros at x = -8 and x = 5?

g(x) = x2 + 3x - 40

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

n2 + n - 210 = 0

Which sample fairly represents the population? Select two options.

sending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfaction taking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City

Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?

x = -5.5

What is the axis of symmetry of h(x) = -2x2 + 12x - 3?

x = 3

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

x3 + 3x2 + 3x − 1

The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?

y = (x + 8)(x + 3)