Advanced math

Question 1

2x^2 = +26x + 84
If 2(x+a)(x+b) is equivalent to the given expression, what is the value of ab?

Answer 1

6+7=13
(6)(7)=42
The value of ab, then, is (6)(7)=42

Question 2

A polynomial function has zeros at
3/4 and -1. Which of the following must be a factor of the polynomial?

Choose 1 answer:
A ] x-1
B ] x+1
C ] 3x-4
D ] 3x+4

Answer 2

B ] x+1
CORRECT

Question 3

Wang Lei would like to build a 144ft^2 rectangular garden. He plans to enclose this area with exactly 50ft of fencing.
Which of the following equations could be used to find the width, x, of Wang Lei’s garden?

Choose 1 answer:
A ] x(72-x) = 50
B ] x(25-x) = 144
C ] x(144-2x) = 50
D ] x(50-2x) = 144

Answer 3

B ] x(25-x) = 144
CORRECT
A=xy
P=2x+2y

xy=144
2x+2y=50

2x+2y = 50
2y = 50-2x
y = 25-x

xy = 144
x(25-x) = 144

Question 4

L^5 N^2 / L ^7 N / L^3 N^9 / LN^3

Answer 4

L ^5 N ^2 / L ^7 N * L N^3 / L^3 N^9
L^5 / L^6 * N^2 N^7
L^2 N^2 / L^6 N^7
1 / L^4 N^5

Question 5

It takes
[120] seconds to print a certain school’s handbook. It takes
[150] seconds to print the handbook with a
[10]-page study skills supplement. Assuming the pages print at a constant rate, how many pages is the handbook without the supplement?

Answer 5

150 - 120 = 30
p / 120 = 10 / 30
p = 40

Question 6

√y^3 z * √y^13 z^8
Which of the following is equivalent to the given expression for all real values of y and z?

Answer 6

y^8 z^4 √z

√y^16 z^9
√y^16 z^8 * √z
√y^16 = y^8 — y^8 * y^8 = y^16
√z^8 = z^4 — z^4 * z^4 = z^8

Question 7

Let g(x) = 8x - 5. Which of the following is equivalent to g(g(x))?

Answer 7

g(g(x)) = 8(g(x) - 5
= 8(8x - 5) - 5
= 64x - 40 - 5
= 64x - 45