Answer: 68
Step-by-step explanation:
Simplifying the expression:
= 8a² + 6b + 9a² + 9b² + 3b
Collect like terms
= 8a² + 9a² + 6b + 3b + 9b²
= 17a² + 9b + 9b²
We then substitute a=2,b=−1.
= 17a² + 9b + 9b²
= 17(2)² + 9(-1) + 9(-1)²
= 68 -9 + 9
= 68
Answer:
The slope is 13.
The x intercept is
.
The y intercept is
.
Step-by-step explanation:
1. Finding the slope.
This is a linear equation, because <u>it's graph forms a line</u>. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, <u>the slope is 13</u>.
2. Finding the x intercept.
The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:

<u>The x intercept is </u>
<u>.</u>
3. Finding the y intercept.
The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:

<u>The y intercept is </u>
<u>.</u>
answer:
y = 10 - x²
step-by-step explanation:
the y value is means the y value is equal to meaning the first part of our equation is y =
10 decreased means 10 minus so the next part of our equation is y = 10 -
the square of the x value means x squared so the last part of our equation is y = 10 - x²
Answer:

Step-by-step explanation:
Given
--- proper representation of the question
Required
Evaluate
Convert numbers to improper fractions

Take LCM


Convert to improper fraction

Answer: Choice A
The volume expression is 4/3 times pi times (3x)^3
===================================================
The volume of a sphere is found through the formula
V = (4/3)*pi*r^3
so we start with the fraction 4/3, multiply it with pi, and then multiply it with r^3
In this case, the radius is r = 3x because this is half of the diameter d = 6x
We simply replace the r with 3x in that formula above
V = (4/3)*pi*r^3
V = (4/3)*pi*( r )^3
V = (4/3)*pi*(3x)^3 ... replace r with 3x