Answer:
x = 75
Step-by-step explanation:
We can write this as a proportion
27 45
--------- = --------
45 x
We can use cross products to solve
27 x = 45 *45
Divide each side by 27
27 x/27 = 45*45 /27
x = 75
Answer:
g o f = 
Step-by-step explanation:
Given


Required:
Find g o f
This is calculated as:


So:


![g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%5B%2016x%5E2%20%2B%2016x%20%2B%204%29%5D%20-%204)


Answer:

Step-by-step explanation:

<em>Replace it with y</em>

<em>Exchange the values of x and y</em>

<em>Solve for y</em>

<em>Subtracting 1 from both sides</em>

<em>Dividing both sides by 2</em>

<em>Replace it by </em>
So,

The chance that any given bulb is on is equal to 1/2. The chance that all twenty bulbs are on at the same time is
Answer:
11 Square Units
Step-by-step explanation:
Let A be the area of the Rectangle
First statement: The area of the rectangle is increased by seven, we have :
A+7
Second Statement: Four less than twice the area of the rectangle
Twice the Area=2A
Four less = 2A-4
Therefore:
2A-4=A+7
Collecting like terms
2A-A =7+4
A=11
The area of the rectangle is 11 Square Units.