Answer:
2nd Graph
Step-by-step explanation:
Bases off the graphs, you gave me, I assume your the equation is
![f(x) = - 4(2) {}^{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20-%204%282%29%20%7B%7D%5E%7Bx%7D%20)
The parent equation of this function is
![f(x) = b {}^{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20b%20%7B%7D%5E%7Bx%7D%20)
Let say x=0
Using the rules of exponets, the y value must be 1 so a critical point is
(0,1)
The function is multiplied by -4.
This means the function is stretched in the y direction by 4 and reflected over the x axis. So our new point will be
(0,-4).
The base 2 the function will get compressed by 1/2.
The best graph that represents this is the second graph
Can u take a better pic and maybe i can help u
Hello!
x² - 4x + 6 = 9 <=>
<=> x² - 4x + 6 - 9 = 0 <=>
<=> x² - 4x - 3 = 0 <=>
<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>
<=> x = 4±√16+12/2 <=>
<=> x = 4±√28/2 <=>
<=> x = 4±2√7/2 =>
=> x = 4+2√7/2 and x = 4-2√7/2 =>
=> x = 2+√7 and x = 2-√7
The equation has two solutions.
Good luck! :)
Answer: Alex is 15 years
Step-by-step explanation:
Since Alex is w years old and her sister is three years younger than him. The age of his sister will be:
= w - 3.
We will then multiply their ages and equate to 180. This will be:
w × (w - 3) = 180
w² - 3w = 180
w² - 3w - 180 = 0
w² - 15w + 12w - 180 = 0
w(w - 15) + 12(w - 15) = 0
(w + 12)(w - 15)
w - 15 = 0
w = 0 + 15
w = 15 years
Alex is 15 years, her sister is 12 years.
Answer:
75/5=15
64/4=16
Andrea has a higher babysitting rate by $1
Step-by-step explanation: