Answer:
x= -3
Step-by-step explanation:
A. g(x)=(4x)^2
All you have to do is graph each equation and see what matches g(x) on the graph given.
First, we can raise each number to the second power by multipying it by itself. :)
1^2=1
4^2=16
9^2=81
16^2=256
These numbers are called "perfect squares" because their square roots are whole numbers, rather than decimals. For example, If you had a square with an area of 16, the side legnths of the square would be the whole (thus "perfect") number 4. For this reason, 16 (4^2) is considered a "perfect square" number. I hope that makes sense!! :)
Answer: 15
<u>Step-by-step explanation:</u>
small: 5 12 13
middle: __ 36 39
large: 45 108 117
Notice that to get from the small to the large, multiplied by 9
5(9) = 45 12(9) = 108 13(9) = 117
That is because the sides are proportional
To get from small to middle, multiply by 3
5(3) = 15 12(3) = 36 13(3) = 39
To solve it using proportions:
![\dfrac{5}{x}=\dfrac{12}{36}\\\\\\\text{Cross Multiply and solve for x:}\\5(36)=12x\\\\\dfrac{5(36)}{12}=x\\\\5(3)=x\\\\\large\boxed{15}=x](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7Bx%7D%3D%5Cdfrac%7B12%7D%7B36%7D%5C%5C%5C%5C%5C%5C%5Ctext%7BCross%20Multiply%20and%20solve%20for%20x%3A%7D%5C%5C5%2836%29%3D12x%5C%5C%5C%5C%5Cdfrac%7B5%2836%29%7D%7B12%7D%3Dx%5C%5C%5C%5C5%283%29%3Dx%5C%5C%5C%5C%5Clarge%5Cboxed%7B15%7D%3Dx)
3a. Megan's car has more gas
3b. 2/3=66.666% and 3/5= 60% so 6 2/3 gallons
5. 108.09-15.45= 92.64