Cumulative Exam — Cumulative exam Answers

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3

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

A
ab(7a2 + 10ab + 14b2)
B
a2b(7 + 10b + 14b2)
C
7a2(b + 3b2 + 7b3)
D
7a2b3(b2 + 3b + 7)
4

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in minutes spent on the Internet.f(t) =Which statement is true about the Internet connection cost?

Question illustration
A
It costs $5 per hour to connect to the Internet at the gaming store.
B
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
C
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
D
Any amount of time over an hour and a half would cost $10.
5

Which best explains why the orthocenter of an obtuse triangle is outside the triangle?

A
All three of the altitudes lie entirely outside the triangle.
B
Two of the altitudes lie entirely outside the triangle.
C
All three of the medians lie entirely outside the triangle.
D
Two of the medians lie entirely outside the triangle.
7

Solve for in the equation .

Question illustration
A
x = –16 or x = 2
B
x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot
Option B
C
x = –2 or x = 16
D
x = 7 plus-or-minus 3 StartRoot 7 EndRoot
Option D
8

Triangle A C F is shown. Lines are drawn from each point to the opposite side and intersect at point D. Line segments A E, F B, and C G are formed. The length of line segment A D is 12 and the length of line segment D E is 4.

Question illustration
A
Yes, point D is the point of intersection of segments drawn from all three vertices.
B
Yes, DE is three-quarters of the length of the full segment.
C
No, DE should be longer than AD.
D
No, the ratio between AD and DE is 3:1.
9

According to the Rational Root Theorem, is a potential rational root of which function?

Question illustration
A
f(x) = 4x4 – 7x2 + x + 25
B
f(x) = 9x4 – 7x2 + x + 10
C
f(x) = 10x4 – 7x2 + x + 9
D
f(x) = 25x4 – 7x2 + x + 4
12

Complete the paragraph proof.Given: M is the midpoint of Prove: ΔPKB is isosceles

Question illustration
A
corresponding parts of congruent triangles are congruent
B
base angles of isosceles triangles are congruent
C
of the definition of congruent segments
D
of the definition of a right triangle
13

Consider the triangle.

Question illustration
A
Each side has a different length.
B
Two sides have the same length, which is less than the length of the third side.
C
The three sides have the same length.
D
The sum of the lengths of two sides is equal to the length of the third side.
16

Question text not available

Question illustration
A
all real numbers
B
all real numbers less than or equal to 0
C
all real numbers less than or equal to 1
D
all real numbers greater than or equal to 1
18

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

A
y = (x + 8)(x + 3)
B
y = (x + 4)(x + 6)
C
y = (x + 9)(x + 2)
D
y = (x + 7)(x + 4)
19

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

A
The graph moves up 18 units.
B
The graph moves down 18 units.
C
The graph moves left 18 units.
D
The graph moves right 18 units.
20

The dimensions of a rectangle are represented by the functions shown.

Question illustration
A
6x2 – 8x + 36
B
6x2 – 27x + 36
C
6x2 – 35x + 36
D
6x2 + 35x + 36

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