If f(x) = 5x – 2 and g(x) = 2x + 1, find (f+9)(x).
a)3x-1
b)7x-1
c)7x-3
d)4x-3

B) 7x - 1

In this question, you're going to solve by adding both f(x) and g(x) together.

You're finding (f+g)(x), meaning that you will be adding both of the equations to get your answer.

What (f+g)(x) looks like:

(5x - 2 + 2x + 1)(x)

What you would do is solve to get your answer. You're going to be combining like-terms and adding.

When you're done solving, you should get 7x - 1

This means that B) 7x - 1 would be the correct answer.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).