Answer:
B. x^3 + 3x^2
Step-by-step explanation:
Volume of a rectangular prism=width * length * height
V=w*l*h
h=3 greater than the length of the base
h=x+3
Length of the base=x
Width=x
Substituting values into the formula
V=w*l*h
=(x)*(x)*(x+3)
Multiplying
=(x^2)(x+3)
=x^3 + 3x^2
Option B is the correct answer
Answer:
Range is : { -10, -7, -5, -2 }
Step-by-step explanation:
Given:
The function is given as:

The domain of the function = { -3, 0, 2, 5 }
A function's input is called its domain and a function's output is called its range.
The range depends on the domain values. So, the values of 'y' are the values of range and the values of 'x' are the values of domain.
Here, the domain is given as:
Domain = { -3, 0, 2, 5 }
We need to find the values of 'y' for each value of 'x' taken from the domain set.
Plug in
. This gives,

Plug in
. This gives,

Plug in
. This gives,

Plug in
. This gives,

Therefore, the set of all values of 'y' is the range.
Range is equal to { -10, -7, -5, -2 }.
Answer:
No solutions
Step-by-step explanation:
Isolate the absolute value:
|x−1| + 5 = 2
Subtract 5 from both sides:
|x-1| = -3
Since an absolute value can never be equal to a negative number, there are no solutions.
Answer:
y = 2x
y = 3x - 3
Step-by-step explanation:
Hi,
<u>y = 2x</u>
<u>6 = 2(3)</u>
<u>6 = 6</u>
<u>That's a solution</u>
<u>y = 3x - 3</u>
<u>6 = 3(3) - 3</u>
<u>6 = 9 - 3</u>
<u>6 = 6</u>
<u>That's a solution</u>
Hope this helps :)
Hey!
Okay, to solve this problem, we'd first have to multiply both sides by two. The reason we do this is to get

on its own.
<em>Original Equation : </em>

<
<em>New Equation {Changed by Multiplying 2 on Both Sides} :</em>

<

(

)
And we simplify the equation to get our answer.
<em>Old Equation :</em>

<

(

)
<em>New Equation {Changed by Simplification} :</em>
y < -6
<em>So, the equation

< -3 simplified is</em>
y < -6.
Hope this helps!
- Lindsey Frazier ♥