<span>a+b) • (a2-ab+b2)
</span><span>(a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+<span>b<span>3
ANWSER </span></span></span><span> y4 - y3 + 2y2 + y - 1
——————————————————————
(y + 1) • (y2 - y + 1)</span>
The area of a circle is given by

We can solve this equation for r: divide both sides by pi:

Consider the (positive) square root of both sides:

So, in your case, we have

Answer:
y = 2x - 6
Step-by-step explanation:
The slope-intercept equation is y = mx + b
where m is the slope and b is the point on the y axis when x=0 which is called the y intercept.
The slope is the rise over run.
Rise is the difference in the y values.
Run is the difference in the x values.
Rise = difference between -6 and -10 which is 4 units
Run = difference between 0 and -2 which is 2 units.
The slope would then be 4 over 2 or 4/2 which can be reduced down to 2.
If you visualize the line on the graph, the line slopes upward from left to right. So the slope must be a positive number.
Slope = 2
The y intercept is when x=0. One of the coordinates (0, -6) gives you that answer. When x=0, y = - 6. This is b.
Your equation would be y = 2x - 6
Alex bought all the string needed for $125.
It costs $18 for the remaining materials to make each puppet.
So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.
And the variable cost is $18.
In this case we can model a Total cost function C(x) for for x number of puppets as below

The total cost to make 50 puppets=$1025
Answer:
Step-by-step explanation:
Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.
Step-by-step explanation:
Linear Equation; Ax+By=C
A linear equation to model this situation:
8x + 55 = C
Where;
8 is for the rate of gallons.
'X' is the minutes.
55 is the gallons of water the tank already contained.
8(25) + 55 = 255
Where;
8 is for the rate of gallons.
25 is the minutes.
55 is the gallons of water the tank already contained.