Answer:
x(2x+3)
Step-by-step explanation:
Im guessing 2x2 is 2x^2
2x^2 + 3x = 0
x(2x+3)
The graph of an absolute value parent function is a pair of rays in quadrant 1 & 2, as shown in the graph.
The absolute value function is
f(x) = |x| or y = |x|
We also know that the absolute function can be wriiten as
y = |x|
=> y = x or y = -x
Comparing with y = mx + c
We get
m = 1 or m=-1 and c = 0
c = 0 implies that the line passes through the origin.
Hence the slopes shall be -1, 1 & the line passes through the origin.
Option A, B & D are the right answers.
The inverse of the function
is ![\sqrt{9x}](https://tex.z-dn.net/?f=%5Csqrt%7B9x%7D)
Given the function ![f(x) = \frac{1}9} x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D9%7D%20x%5E2)
We are to find its inverse
Step 1: Ley y = f(x)
![y=\frac{1}{9}x^2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B9%7Dx%5E2)
Step 2: Replace y with x
![x = \frac{1}{9}y^2 \\x = \frac{y^2}{9}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B9%7Dy%5E2%20%5C%5Cx%20%3D%20%5Cfrac%7By%5E2%7D%7B9%7D)
Step 3: Make y the subject of the formula
![9x = y^2\\y^2 = 9x\\](https://tex.z-dn.net/?f=9x%20%3D%20y%5E2%5C%5Cy%5E2%20%3D%209x%5C%5C)
Step 4: Take the square root of both sides
![(\sqrt{y})^2 = \sqrt{9x}\\y = \sqrt{9x}\\\\h(x) = \sqrt{9x}\\](https://tex.z-dn.net/?f=%28%5Csqrt%7By%7D%29%5E2%20%3D%20%5Csqrt%7B9x%7D%5C%5Cy%20%3D%20%20%5Csqrt%7B9x%7D%5C%5C%5C%5Ch%28x%29%20%3D%20%5Csqrt%7B9x%7D%5C%5C)
This shows that the inverse of the function
is ![\sqrt{9x}](https://tex.z-dn.net/?f=%5Csqrt%7B9x%7D)
Learn more here: brainly.com/question/8691744
Answer:
-5
Step-by-step explanation:
As, x = - 1
So 2(-1)-3 = - 2 - 3 = - 5
So y = - 5
Answer:
There were 90 questions in the test.
Step-by-step explanation:
He missed 88 questions on the test and scored a 2%. This means that the 88 questions missed correspond to 100% - 2% = 98% of the total number of questions, which is x. So
![0.98x = 88](https://tex.z-dn.net/?f=0.98x%20%3D%2088)
![x = \frac{88}{0.98}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B88%7D%7B0.98%7D)
![x = 89.8](https://tex.z-dn.net/?f=x%20%3D%2089.8)
Rounding up
There were 90 questions in the test.