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3 years ago

When 2x^3-3x^2+kx-1 is divided by x-1 the remainder is 2 find k?

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

7 0

Answer:

k = 4

Step-by-step explanation:

The remainder theorem tells you that the remainder from division of f(x) by (x-1) is f(1). Evaluating the expression for x=1 gives ...

2(1³) -3(1²) +k(1) -1 = 2 -3 +k -1 = k -2

We want this to be equal to 2, so ...

k -2 = 2

k = 4

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Step-by-step explanation

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3 years ago

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in a

Evgesh-ka [11]

Answer:

$s=t-18...(1)$

$12*s=10*t+32...(2)$

Step-by-step explanation:

Let s be the number of pages in each issue of the sports magazine, and t be the number of pages in each issue of the technology magazine.

We have been given that Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. We can represent this information in an equation as:

$s=t-18...(1)$

We are also given that sports magazine prints 12 issues per year, so the total number of pages in all the issues of sports magazine will be 12*s.

We are given that a technology magazine prints 10 issues per year, so the total number of pages in all the issues of technology magazine will be 10*s.

Further, the total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.

We can represent this information in an equation as:

$12*s=10*t+32...(2)$

Therefore, our desired system of equations will be:

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3 years ago

Answer ASAP 84.9 66.2 38.2 33.8

tankabanditka [31]

Step-by-step explanation:

You need to use trigonometric stuff here. Since you're given the hypotenuse and an angle you can plug that right into an equation.

Recall that sin is opposite over hypotenuse and cos is adjacent over hypotenuse.

$sin(\theta)=\frac{o}{h} \\sin(30)=\frac{x}{14} \\0.5=\frac{x}{14} \\x=7$

Now that you know the opposite side (DC) you can use tan, too, but I'm going to use cos.

$cos(\theta)=\frac{a}{14} \\cos(30)=\frac{x}{14} \\\frac{\sqrt{3} }{2} =\frac{x}{14} \\x=7\sqrt{3}$

This is the adjacent side (BC). I put it in its exact value, but in decimal form it's ≈12.124.

Now you can do the perimeter:

$2l+2w\\2(12.124)+2(7)\\24.248+14\\38.25$

Your answer is the 38.2

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3 years ago

How to find the common ratio of 5,15,45,135

galina1969 [7]

Answer: HOPE THIS HELPED! :D

3 is the common ratio

Step-by-step explanation:

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45x3 135

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3 years ago

When 2x^3-3x^2+kx-1 is divided by x-1 the remainder is 2 find k?​

When 2x^3-3x^2+kx-1 is divided by x-1 the remainder is 2 find k?