Answer all questions! 1. What’s the common ratio of the geometric sequence2,0.5,0.125,1/32? Write this geometric sequence as an explicit formula.
2. Vertically dilate the linear function z(x) = 4x−1by a factor of three. What’s the equation of the vertically dilated function?
3. Consider the linear functionsy(x) = 2x+ 8andg(x) =−2x+ 4. What are theiry-intercepts? Write these functions in factored form. What are theirx-intercepts?

step-by-step explanation:

equal to

step-by-step explanation:

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.