Answer:
The question is asking which combinations of make different types of equations. y=2x^2 makes a quadratic equation, y=-4x+1 makes a linear equation, and y=1 makes a horizontal line
The volume of the cube with the given side length is 1/125b⁹
<h3>Calculating the volume of a cube</h3>
From the question, we are to determine the volume of the given cube.
The volume of a cube is given by
V = s³
Where V is the volume of the cube
and s is the side length of a side of the cube
From the given information,
s = 1/5b³
Thus,
The volume of the cube will be
V = 1/5b³ × 1/5b³ × 1/5b³
V = 1/5 × 1/5 × 1/5 × b³ × b³ × b³
V = 1/125 × b⁹
V = 1/125b⁹
Hence,
The volume is 1/125b⁹
Lear more on Calculating volume of a cube here: brainly.com/question/19891526
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Answer:
Step-by-step explanation:
The Break Even point is the point at which the cost=revenue
14,980+20x=30x
14,980=10x
1,498=x
a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960
b. The profit function is P(x)=R(x)-C(x)
So P(x)=30x-(14,980+20x)
If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.
Slope equals change in y divided by change in x.
m=(y2-y1)/(x2-x1)
m=(1-1)/(5--3)
m=0/8
m=0
The slope is zero.
So this is a horizontal line of the form y=1
Answer:
Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:
And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:
Simplifying the right side:
Remove the parentheses:
Move the y's to the left side and the rest of the expression to the right side:
Factor out y:
Divide by x-1: