Answer:
9
Step-by-step explanation:
You choose the middle one because 3<(4)<10 makes sense where as the other ones don't when you plug in 4. Then you solve the equation which is x^2-7 and then you get 16-7 which is 9.
Answer:
The remainder = 13.
Step-by-step explanation:
By the Remainder Theorem the remainder when the function is divided by
x - 1 is f(1).
f(1) = 4(1)^3 + 4(1)^2 + 2(1) + 3
= 4 + 4 + 2 + 3
= 13.
So x - 1 is not a factor of f(x).
If it was a factor the remainder would be 0.
Option C:
is the product of the rational expression.
Explanation:
The given rational expression is 
We need to determine the product of the rational expression.
<u>Product of the rational expression:</u>
Let us multiply the rational expression to determine the product of the rational expression.
Thus, we have;

Let us use the identity
in the above expression.
Thus, we get;

Simplifying the terms, we get;

Thus, the product of the rational expression is 
Hence, Option C is the correct answer.
Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
The answers is C. because when you do 180/3-15 you get 45 as the answer.