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Goryan [66]
3 years ago
13

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11-6x8+x3-4x+3

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 - 6x8 + x3 - 4x + 3? ... According to the Rational Root Theorem, the following are potential roots of f(x) = 60x² - 57x - 18.
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Given f ( x ) = 3 x 2 + k x − 13 f(x)=3x 2 +kx−13, and the remainder when f ( x ) f(x) is divided by x + 4 x+4 is 15 15, then wh
Varvara68 [4.7K]

Answer:

k=5

Step-by-step explanation:

We are provided with function, f ( x ) = 3 x^{2} + kx − 13

which is divided by x+4 gives 15.

Here,

since f(x) is divided by x+4 so we can put :

x+4 = 0

x= -4

Putting this in f(x) -----> f(-4)

f(x) = f(-4) = 3 (-4^{2}) + k(-4) − 13

f(-4) = 3(16) - 4k - 13

f (-4) = 48 - 4k - 13                ------------------------------------------Equation 1

Since, when f(x) is divided by x+4 , the remainder is 15 so we can say,

f(-4) = 15

putting in equation 1

f (-4) = 15 = 48 - 4k - 13

48 -4k - 13 = 15

35 - 4k = 15                      

35 - 15 = 4k                         (Moving - 4k on right hand side and 15 on the left)

or 20 = 4k

or 4k = 20

k = \frac{20}{4}

<h2>k = 5</h2>

4 0
3 years ago
Bill wants to rent a car. Rental Company A charges $35 per day plus $0.10 per mile driven. Rental Company B charges $25 per day
vova2212 [387]

After 300 miles.

35+0.1x= 25+0.15x

<u> -0.1x -.01x</u> (0.1- 0.1 crosses out)

35= 25+0.15x

<u> -25 -25 </u> (25- 25 crosses out)

15= 0.15x

15/0.15= 0.15x/0.15 (crosses out)

300= x



6 0
2 years ago
H(x) = x^2 + 1 k(x) = x – 2<br> (h + k)(2)=?
likoan [24]
First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2
6 0
3 years ago
Give a correct interpretation of a 99% confidence level of 0.102 &lt; p &lt; 0.236.
lord [1]
We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion <span>p.</span>
4 0
2 years ago
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What three numbers can you multiply to get 24?
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1x24, 2x12, 3x8 are 3 ways that get 24
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