Answer:
x=-7 x=2
Step-by-step explanation:
x^2+5x-14=0
Factor
What 2 numbers multiply to -14 and add to 5
7*-2 = 14
7 -2 =5
(x+7) (x-2) = 0
Using the zero product property
x+7 = 0 x-2 =0
x=-7 x=2
Finding the inverse function:
We are given a function y = f(x). To find the inverse function, we exchange x with y in the original function, and then isolate y.
So
We are given the function:
So
Changing x with y
Now, we have to isolate y. So
We can apply the fifth root to both sides. So:
![\sqrt[5]{(y+7)^5}=\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%28y%2B7%29%5E5%7D%3D%5Csqrt%5B5%5D%7Bx%7D)
![y+7=\sqrt[5]{x}](https://tex.z-dn.net/?f=y%2B7%3D%5Csqrt%5B5%5D%7Bx%7D)
![f^{-1}(x)=y=\sqrt[5]{x}-7](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3Dy%3D%5Csqrt%5B5%5D%7Bx%7D-7)
Y=x-1 as the general line equation is y=x
Answer:
A. 40.18
B. 42.80
Step-by-step explanation:
A. To find the discount price of an item multiply the price by the percentage you pay. Its discounted 20% meaning you pay 80%. Then the price of the coat is 0.8(50.22) = 40.18.
B. The sale price of a shirt is 25.68. The original price as reduced by 3/5. The original price is equal to 25.68 = 3/5x. Solve for x by multiplying by the reciprocal. 25.68 ( 5/3) = x. 42.8 = x.
Answer:
Health insurance protects you from unexpected, high medical costs. You pay less for covered in-network health care, even before you meet your deductible. You get free preventive care, like vaccines, screenings, and some check-ups, even before you meet your deductible.
Step-by-step explanation:
