Answer
x=-5
and
x=1
Explanation
The equation y = 2(x+2)^2 - 18 corresponds to a translation 2 units left and 18 units down, and a and a shrinkage about the x-axis with factor 2.
Making these transformations to y=x^2, we have:
Factoring:
The x-intercept are found when y=0, that is:
and
Answer:
p = 22
z = 8
Step-by-step explanation:
Average is sum of the terms divided by number of terms.
<u>Question # 1:</u>
Given that:
![\displaystyle \frac{p+10}{2} = 16\\\\Multiply\ both\ sides\ by \ 2]]\\ p+10 = 2 \times 16\\\\p+10 = 32\\\\Subtract \ 10\ to \ both \ sides\\\\p = 32-10\\\\p = 22](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bp%2B10%7D%7B2%7D%20%3D%2016%5C%5C%5C%5CMultiply%5C%20both%5C%20sides%5C%20by%20%5C%202%5D%5D%5C%5C%20p%2B10%20%3D%202%20%5Ctimes%2016%5C%5C%5C%5Cp%2B10%20%3D%2032%5C%5C%5C%5CSubtract%20%5C%2010%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5Cp%20%3D%2032-10%5C%5C%5C%5Cp%20%3D%2022)
<u>Question # 2:</u>
Given that:
![\displaystyle \frac{z+12}{2} = 10\\\\Multiply \ both \ sides \ by \ 2\\\\z+12 = 10 \times 2\\\\z+12 = 20\\\\Subtract \ 12\ to \ both \ sides\\\\z = 20-12\\\\z = 8\\\\\rule[224]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bz%2B12%7D%7B2%7D%20%3D%2010%5C%5C%5C%5CMultiply%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%202%5C%5C%5C%5Cz%2B12%20%3D%2010%20%5Ctimes%202%5C%5C%5C%5Cz%2B12%20%3D%2020%5C%5C%5C%5CSubtract%20%5C%2012%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5Cz%20%3D%2020-12%5C%5C%5C%5Cz%20%3D%208%5C%5C%5C%5C%5Crule%5B224%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
180-33 = 147
Step-by-step explanation:
Answer:
x = 11/2
Step-by-step explanation:
Combine like terms to get -4x + 15 = -7
Subtract 15 from both sides to get -4x = -22
Divide both sides by 4 to get x = 11/2
300*15%=48 there for 300 is your amount of saving before she spent 15% of it
