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3 years ago

Which of the following is a polynomial with roots 4, 6, and −7?

Mathematics

2 answers:

aleksklad [387]3 years ago

8 0

Try plugging in 4,6, and -7 into the x's

otez555 [7]3 years ago

3 0

Answer:

option B

Step-by-step explanation:

If any polynomial has roots 4, 6, and (-7) then x - 4, x- 6, and x+7 will be the 0 roots of the polynomial.

Then the polynomial can be written in the form of f(x) = (x-4) (x-6) (x+7)

Now we further solve it to get the simpler form of the polynomial.

f(x) = (x-6) [x² + 7x - 4x - 28]

= (x-6) [x² + 3x - 28 ]

= x³ + 3x² - 28x - 6x² - 18x + 168

= x³ - 3x² - 46x + 168

This polynomial matches with option B

So option B will be the option.

You might be interested in

Chelsey put for $450 into an account with a simple interest rate of 2.5% when she withdrew the money she had earned a total of $

fgiga [73]

Answer:

5.66 years

Step-by-step explanation:

450 x 1.025^(n) = 450 + 67.50

450 x 1.025^(n) = 517.50

1.025^(n) =(517.50 / 450)

1.025^(n) = 1.15

n = ln(1.15) / ln(1.025)

n = 5.66

6 0

3 years ago

A recreation center charges nonmembers $3 to use the pool and $5 to use the basketball courts. A person pays $42 to use the recr

Andrei [34K]

Let x = times in the pool
Let y = times in the basketball courts

42=3x+5y
x+y=12
Therefore y = 12-x
Subsitute for y
42 = 3x + 5(12-x)
42 = 3x + 60 -5x
Subtract 60
-18 = -2x
9 = x

The person used the pool 9 times.

5 0

3 years ago

What is the median of this set of data:593,588,540,434,420,398,390,375

devlian [24]

Answer:

427

Step-by-step explanation:

5 0

3 years ago

Consider the following hypothesis test:

Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

$H_0: \mu\leq50\\\\H_a:\mu> 50$

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809$

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24$

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

8 0

4 years ago

Can you simplify 132:156 please asap

Vilka [71]

Answer:

11:13

Step-by-step explanation:

132:156

Split in half

66:78

Again

33:39

By 3

11:13

8 0

3 years ago