Answer:

Step-by-step explanation:
When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.
So we can do this by term.

Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes
.
Same logic applies to the second term:
, raise the exponent by one,
.
For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so
in this case - as
). Again, using the same logic, this turns into
.
For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore,
.
Adding these terms all together gets us
.
Hope this helped!
Answer:
55.04 ft²
Step-by-step explanation:
Calculate the area of the square, the area of the circle, then subtract the area of the circle from the area of the square.
Area of square = 16 x 16 = 256 ft²
Area of circle =
r²
radius = 16 ÷ 2 = 8
⇒ Area of circle = 3.14 x 8² = 200.96 ft²
Shaded area = 256 - 200.96 = 55.04 ft²
Answer:
21 terms
Step-by-step explanation:
Number of terms = Exponent + 1 = 20 +1 = 21
Answer:
The line x = 8 is our vertical asymptote
The limit of
as x approaches 8 from the left is negative infinity; -∞
Step-by-step explanation:
We have been given the following function;

Considering that the function is rational, it will defined everywhere on the real line except where the expression in the denominator will be 0;
That is the function will not be defined where;
x - 8 = 0
solving for x yields;
x = 8
The function will be approaching the vertical line x = 8 asymptotically, meaning that the function will never touch or cross this line. We can therefore say that,
The line x = 8 is our vertical asymptote for the given function
The limit of
as x approaches 8 from the left;

For x approaching 8 from the left,
which implies that 
The denominator will be a negative quantity approaching 0 from the left, that is -∞.
Thus;
= -∞
Find the graph attached.