Answer:
<h2>Shift the graph of f(x) 4 units to the right</h2><h2>and 7 units up</h2>
Step-by-step explanation:
f(x) + n - shift a graph of f(x) n units up
f(x) - n - shift a graph of f(x) n units down
f(x + n) - shift a graph of f(x) n units to the left
f(x - n) - shift a graph of f(x) n units to the right
=============================================
We have
![f(x)=x^2,\ g(x)=x^2+(-8x)+7](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2C%5C%20g%28x%29%3Dx%5E2%2B%28-8x%29%2B7)
Convert the equation of g(x) to the vertex formula:
![y=a(x-h)^2+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E2%2Bk)
![g(x)=x^2+(-8x)+7\\\\g(x0=x^2-2(x)(4)+7\\\\g(x)=\underbrace{x^2-2(x)(4)+4^2}-4^2+7\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\g(x)=(x-4)^2+7=f(x-4)+7\\\\\text{shift the graph of f(x) 4 units to the right and 7 units up}](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2%2B%28-8x%29%2B7%5C%5C%5C%5Cg%28x0%3Dx%5E2-2%28x%29%284%29%2B7%5C%5C%5C%5Cg%28x%29%3D%5Cunderbrace%7Bx%5E2-2%28x%29%284%29%2B4%5E2%7D-4%5E2%2B7%5Cqquad%5Ctext%7Buse%7D%5C%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5C%5C%5C%5Cg%28x%29%3D%28x-4%29%5E2%2B7%3Df%28x-4%29%2B7%5C%5C%5C%5C%5Ctext%7Bshift%20the%20graph%20of%20f%28x%29%204%20units%20to%20the%20right%20and%207%20units%20up%7D)
I=PRT/100
720=1000x9xT/100
72000=9000T
T=72000/9000
T=8years
Answer:
87380
Step-by-step explanation:
The sum to n terms of a geometric sequence is
= ![\frac{a(r^n-1)}{r-1}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%28r%5En-1%29%7D%7Br-1%7D)
where a is the first term and r the common ratio
r =
= 4 and a = 4, hence
=
=
= 87380
Answer:
y = x + 7
x represent the current number of employees.
54 - 47 = 7 employees (the difference of number of employees from both years)
Answer:
0530
Step-by-step explanation: