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1 year ago

What is the remainder of x^5+2x^4+9x^3-6x^2+3x+3165 divided by x-5

Mathematics

1 answer:

riadik2000 [5.3K]1 year ago

4 0

Answer:

8530

Step-by-step explanation:

The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530

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The Answer is 1/5 and 5

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A bookstore sold 25 books in 5 days. At this rate

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Answer:

20 days

Step-by-step explanation:

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Write the equation of the line that passes through the points (4,-6) and (-2,3)

yarga [219]

Here is your answer and an explanation

Answer: y = -2/3x

Explanation:

This can be determined by calculating the gradient of the straight line, using:

m=ΔyΔx

=−6−34−(−2)

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Then we use the slope-point form of the straight line:

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2 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

adoni [48]

Answer: The required derivative is $\dfrac{8x^2+18x+9}{x(2x+3)^2}$

Step-by-step explanation:

Since we have given that

$y=\ln[x(2x+3)^2]$

Differentiating log function w.r.t. x, we get that

$\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}$

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2 years ago

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Evgesh-ka [11]

Answer: F (False)

Step-by-step explanation:

Jointly variation has the following form:

y=kxz

Where k is a constant of propotionality.

Substitute values:

If y=16, x=4 and z=2, then k is:

$16=k(4)(2)^{3}\\k=1/2$

If x=-8 and z=-3 the the value of y is:

$y=(1/2)(-8)(-3)^{3}\\y=-108$

Then the answer is FALSE.

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3 years ago

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