Answer:
D. 7 (6x+7)
Step-by-step explanation:
Factor 7 out of 42x + 49
Answer: Chillin hbu?
Step-by-step explanation:
Answer: See attached
Step-by-step explanation:
[] Since the inequality uses greater than (>) and <em>not</em> greater than or equal to (≥), the line will be dashed.
[] The inequality is greater than (>) so we will shade above the line as values "above" are greater.
61.26 in^2
Explanation: plug in the formula to get SA=2π1.5^2+2π(1.5)(5)
Answer:
![f^{-1}(x)=\frac{1}{2}+\sqrt{x-\frac{3}{4}}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B1%7D%7B2%7D%2B%5Csqrt%7Bx-%5Cfrac%7B3%7D%7B4%7D%7D)
Step-by-step explanation:
y=x^2-x+1
We want to solve for x.
I'm going to use completing the square.
Subtract 1 on both sides:
y-1=x^2-x
Add (-1/2)^2 on both sides:
y-1+(-1/2)^2=x^2-x+(-1/2)^2
This allows me to write the right hand side as a square.
y-1+1/4=(x-1/2)^2
y-3/4=(x-1/2)^2
Now remember we are solving for x so now we square root both sides:
![\pm \sqrt{y-3/4}=x-1/2](https://tex.z-dn.net/?f=%5Cpm%20%5Csqrt%7By-3%2F4%7D%3Dx-1%2F2)
The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.
This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.
That is we want:
![\sqrt{y-3/4}=x-1/2](https://tex.z-dn.net/?f=%5Csqrt%7By-3%2F4%7D%3Dx-1%2F2)
Add 1/2 on both sides:
![1/2+\sqrt{y-3/4}=x](https://tex.z-dn.net/?f=1%2F2%2B%5Csqrt%7By-3%2F4%7D%3Dx)
The last step is to switch x and y:
![1/2+\sqrt{x-3/4}=y](https://tex.z-dn.net/?f=1%2F2%2B%5Csqrt%7Bx-3%2F4%7D%3Dy)
![y=1/2+\sqrt{x-3/4}](https://tex.z-dn.net/?f=y%3D1%2F2%2B%5Csqrt%7Bx-3%2F4%7D)
![f^{-1}(x)=1/2+\sqrt{x-3/4}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D1%2F2%2B%5Csqrt%7Bx-3%2F4%7D)