Answer:
5*3=15
Step-by-step explanation:
<u>Answer:</u>
-0.7
<u>Explanation:</u>
All you do is substitute x.
Add/Subtract from left to right.
|-17 + 3| / (-17 - 3)
Find the absolute value of |-14|.
|-14| / (-20)
Divide.
14 / (-20)
-0.7
For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:
g(f(x)) = x = f(g(x))
<u>The restriction is:</u>
x ≠ 4
<u>The inverse is:</u>

Here our function is:

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.
(x - 4)^2 = 0
x - 4 = 0
x = 4
So the only value of x that we need to remove from the domain is x = 4.
To find the inverse we try with the general form:

Evaluating this in our function we get:

Remember that the thing above must be equal to x, so we get:

From the two above equations we find:
b = 11
a = 4
Thus the inverse equation is:

If you want to learn more, you can read:
brainly.com/question/10300045
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
- Is y = 4x - 7 a linear function?
- Is y = 6x² - 1 a linear function?
- Is y =
+ 10 a linear function?
Step-by-step explanation:
- Yes it is - when you graph this equation, it results in a [straight] line, signalling that it is a linear function.
- No it's not - when you graph this equation, it results in a v- kinda shape on the graph. Linear functions are [straight] lines on a graph, and this line wasn't straight. In fact, this wasn't even a line.
- No it's not - when you graph this equation, it results in a bend at the origin. The line on the graph is not straight, so this is not a linear equation.
For the graphs -
- The first one represents the linear function [y = 4x - 7]
- The second one (that looks like an L) represents the last not linear function [y =
+ 10]
- The third one (that looks like a V) represents the first not linear function [y = 6x² - 1]
I HOPE THIS HELPS!
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by

We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,

Substituting the values, r = 6.3 and π = 3.14, we have;

Simplifying the values, we have;


Dividing, we have;

Rounding off to the nearest tenth, we get;

Thus, the volume of the hemisphere is 523.5 cm³