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IgorLugansk [536]
3 years ago
7

Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0

Answer:

5

Step-by-step explanation:

This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.

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Tell whether the given value is a solution of the inequality. (yes or no)<br><br> -2 ≤ k/3; k = -9
olga55 [171]

Answer:  No, it is not a solution

Work Shown:

-2 ≤ k/3

-2 ≤ -9/3

-2 ≤ -3

The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.

Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.

4 0
2 years ago
The answer is 355 houses, but can someone tell me how please?
Ymorist [56]
So you do 20%*426 to get 85.2 then you would subtract 85.2 from 426 because they sold 20% more than last year.  On top of that the answer isn't 355 it is 340.8.
5 0
3 years ago
Last year 80 students signed up for a summer trip to Washington, D.C. This summer 50 students have signed up to go. What is the
Fynjy0 [20]

Given:

Last year 80 students signed up for a summer trip to Washington, D.C.

This summer 50 students have signed up to go.

To find:

The percent decrease in the number of students.

Solution:

We have,

Students in last year = 80

Students in this year = 50

Now,

\text{Decrease}\%=\dfrac{\text{Students in last year - Students in this year }}{\text{Students in last year }}\times 100

\text{Decrease}\%=\dfrac{80-50}{80}\times 100

\text{Decrease}\%=\dfrac{30}{80}\times 100

\text{Decrease}\%=\dfrac{3}{8}\times 100

\text{Decrease}\%=37.5

Therefore, the correct option is B.

7 0
2 years ago
Whats 87 + 72 tenths
Alchen [17]

Answer:

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Step-by-step explanation:

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8 0
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