So, for starters, g(x) is just a fancy way of saying that it is a function, it's basically used as $y$ and you can usually use g(x) or y whenever you want unless its a special situation.

So we can replace g(x) with y as there aren't any other functions we need to deal with.

y = 3x + 2

y = 11

Now that its simplified, we can see its a simple problem

After combining, we get 11 = 3x + 2

After solving, we get x = 3

7 0

3 years ago

What is the base of the trapezoid with an area of 150 a height of 10 and a base of 14?

slavikrds [6]

The formula for the area of a trapezoid is:

A= (a+b)/2*h

A=150
h=10
b=14
a=?

So we need to solve for a. Let's plug in the values that we do know...

A= (a+b)/2*h
150=(a+14)/2*10
150=(a/2+14/2)*10
150=(a/2+7)*10
Divide both sides by 10
15=a/2+7
subtract 7 from both sides
8=a/2
multiply both sides by 2
16=a

The other base is 16

3 0

4 years ago

Read 2 more answers