1. distribute to simplify the expression:

3 ( 2x + 5y - 4)

choices:

6x + 15y - 12

21xy + 12

6x + 15x + 12

21xy - 12

2. what is the value of the expression when c = 4?

4c + 3c -2c + 5

choices:

25

14

33

16

3. factor the expression:

55x - 25

choices:

5 ( 11x - 5)

11 ( 5x - 5)

5 ( 5x + 5)

11 ( 5x + 5)

1. 6x+15y-12

2. 25

3. 5(11x-5)

Step-by-step explanation:

1. We have the expression we have to distribute number 3 to simplify the expression:

Then the correct answer is the first choice: 6x+15y-12

2. We have to find the value of the expression when c=4, we have

Then when c=4:

Then the correct answer is the first choice: 25

3. We have to factor the expression 55x-25,

we can see that (5).11=55 and (5).5=25, then the common factor in this expression is number 5,

Then the correct answer is the first choice: 5(11x-5)

a.) 23

b.) y=14

c.) 23

d.) -23

e.) T=8

f.) f=1/8

Step-by-step explanation:

a.) general equation is Asin((2π/T))

A is the amplitude. It's A value is 23

b.)  Midline = vertical_shift = 14

c.) max = positive amplitude value = 23

d.) min = negative amplitude = -23

e.) Factor out 2π from your angular frequency to get the period.

ω = π/4 = (2π)/8 = (2π)/T

Period = 8

f.) Frequency is just the inverse of the period.

f = 1/T = 1/8