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3 years ago

What is the value of k if 2x^3-3x^2+kx-4 is divided by x-3 and gives a remainder of -7?

1 answer:

4 0

By the polynomial remainder theorem, the remainder upon dividing a polynomial $p(x)$ by $x-c$ is the same as the value of $p(c)$ .

Here $p(x)=2x^3-3x^2+kx-4$ and $c=3$ . We have

$p(3)=23+3k=-7\implies k=-10$

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Which of the following ratios will form a proportion with<br> 2<br> 3

gayaneshka [121]

Answer:

you have to use cross-multiplication in order to find out the answer to this question.

Step-by-step explanation:

9/12 times 2/3

7 0

3 years ago

If CDEF is a kite, CD =15 find CG

SpyIntel [72]

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

5 0

2 years ago

On Roberto's shelf there are:

Sergio039 [100]

Answer:

he would have a 20% chance he will pick a history book, so in decimal form it would be .2

Step-by-step explanation:

7+6+4+3=20

20*5=100

5*4=20

5 0

3 years ago

A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What int

Licemer1 [7]

Interest = $572.60 - $560.00 = $12.60

$560 x 6i/12 = $12.60

i = ($12.60 x 12) / ($560 x 6) = 0.045%

7 0

3 years ago

Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients

pickupchik [31]

Answer:

The answer is "789.03 and 806.16".

Step-by-step explanation:

$y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)$

For point a:

Calculating the value for $y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0$

$y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)$

$= -0.45 + 801.36 -11.88 + 0\\\\= 789.03$

For point b:

Calculating the value of $y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1$

$y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)$

$= -0.45 + 801.36 -0 + 5.25\\\\= 806.16$

3 0

3 years ago