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Bumek [7]
2 years ago
12

ASAP! Plssssss Tysm.

Mathematics
1 answer:
BabaBlast [244]2 years ago
6 0

Answer:

4×10⁶ is the answer.........

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What is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4
givi [52]

Answer:

The remainder will be 6.

Step-by-step explanation:

We have the function:

f(x)=x^4-2x^3-27x^2-9x+18

And we want to find the remainder after it is divided by the binomial:

x+4

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).

Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).

Therefore, <em>a</em> = -4.

Then according to the PRT, the remainder will be:

f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6

The remainder will be 6.

4 0
2 years ago
BRAINLIEST!!!
Sonbull [250]

Answer:

\sqrt{37}

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = \frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = \frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }

   = \frac{|36-2+3|}{\sqrt{36+1} }

   = \frac{|37|}{\sqrt{37} }

   = \frac{37}{\sqrt{37} } × \frac{\sqrt{37} }{\sqrt{37} }

   = \frac{37\sqrt{37} }{37} ← cancel 37 on numerator/ denominator

   = \sqrt{37}

7 0
2 years ago
The best method for obtaining a representative sample is to choose a _____ from the population of interest.
Ilya [14]

Answer:

Random sample

Step-by-step explanation:

In statistics, a sample randomly taken from an investigated population, usually known as a random sample. To avoid having bais from our response and for it to have the best chance of it being indicative of the entire population, our sample must be random. This random sample chosen must contain subjects related to the data in the population we what to obtain a result from.

3 0
3 years ago
Solve 7(x + 2) = -49
nata0808 [166]

Answer:

x= -9

Step-by-step explanation:

7(x+2)=-49

divide both sides by 7

(x+2)=-7

subtract 2 from both dies

x= -9

3 0
3 years ago
Read 2 more answers
Four times a number was 22 greater than twice the same number. What was the number?
Setler [38]

Answer: 11

Step-by-step explanation:

Set up an equation

Based on the question, we can determine that 4x = 22 + 2x where x in is the number

"Four times a number" -> <u>4x</u>

"was" -> <u>=</u>

"22 greater than" -> <u>22 +</u>

"twice the same number" -> <u>2x</u>

Put the underlined parts together to get <u>4x = 22 + 2x</u>

Solve equation

Rearrange/collect like terms to solve for x by subtracting 2x from both sides

4x = 22 + 2x

2x = 22

Solve for x by dividing each side by 2

2x = 22

x = 11

Final Answer

x = 11

8 0
3 years ago
Read 2 more answers
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