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nekit [7.7K]
3 years ago
11

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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Write 10x 10x 10x 10x 10x 10x 10x 10 with an exponent. Explain how you decided what exponent to write. 10x 10x 10x 10x 10x 10x 1
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3 years ago
Someone please help me quick because I’m really confused and it you can can you explain it
kogti [31]

Answer:

4.) 40 Apps can be downloaded in 1 minute

5.) 0.2 or 2/10 of a miles can be traveled in 1 second

Step-by-step explanation:

4.)

So 12 seconds is = to 1/5 of a minute

So the question asks for 1 minute

This means that we need to perform 1/5 *5 to get 1 minute

If we multiply 5 to 1/5 minutes, we also need to multiply 5 to the apps

8 * 5 = 40

So that is how we solved the answer.

So DeAndre can download 40 Apps in 1 minute.

5.)

So he traveled 1/10 miles in 1/2 or 0.5 seconds.

This means we can multiply the seconds by 2 to get 1 second.

0.5 * 2 = 1

If we multiply the seconds by 2 we also need to multiply the miles traveled by 2.

So (1/10) * 2

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7 0
3 years ago
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Now find the change in x. The change in x is . The average rate of change of f(x) = x2 + 5x −−12 from x = −2 to x = 1 is
Ahat [919]

Answer:

The average rate of change = 4.

Step-by-step explanation:

Here we have formula.

Average rate of change = f(b) - f(a)

                                           -----------

                                            b - a

Given: f(X) = x^2 + 5x - 12 interval [-2, 1]

Here a = -2 and b = 1

f(a) = f(-2) = (-2)^2 + 5(-2) -12

= 4 -10 -12

f(-2) = -18

f(b) = f(1) = (1)^2 + 5(1) - 12

= 1 + 5 -12

f(1) = 6 -12

f(1) = -6

Now apply these values in the above formula, we get

Average rate of change = [-6 - (-18)] / [1 -(-2)]

= [ -6 +18]/1 +2

= 12/3

= 4.

Therefore, the average rate of change = 4.

Hope this will helpful.

Thank you.

6 0
3 years ago
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