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3 years ago

If 2x^2+2x-8 is the quotient when x+3 divides P(x), which of th3 following is the quotient when 2x+6 divides p(x)?

Mathematics

1 answer:

maria [59]3 years ago

7 0

Answer: A

2x^2+2x-8 is the quotient when x+3 divides P(x)

=> P(x) = (2x² + 2x -8)(x + 3) = 2(x² + x - 4)(x + 3) = (x² + x - 4) (2x + 6)

=> the quotient when 2x+6 divides p(x) is x² + x - 4

Step-by-step explanation:

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you earned $112.00 last time you babysat for 7 hours.The same family asks you to babysat for 8 hours this time.They will pay you

guapka [62]

You will earn $128.00 because when you divide $112.00 by 7 you get 16. Then you multply 16 by 8 and get $128.00

Hope I was helpful!

3 0

3 years ago

An air transport association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maxim

Flura [38]

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

$CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}$

The sample selected is of size, n = 50.

The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:

$t_{\alpha/2, (n-1)}=t_{0.05/2, 49}\approx t_{0.025, 60}=2.000$

*Use a t-table.

Compute the sample mean and sample standard deviation as follows:

$\bar x=\frac{1}{n}\sum X=\frac{1}{50}\times [1+5+6+...+10]=6.76\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{49}\times 31.12}=2.552$

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

$CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}$

$=6.76\pm 2.000\times \frac{2.552}{\sqrt{50}}\\\\=6.76\pm 0.722\\\\=(6.038, 7.482)\\\\\approx (6.0, 7.5)$

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

7 0

3 years ago

Simplify the function..........

andre [41]

7ab a - b
-------------- - --------------
a^2 - b^2 a + b

  7ab a - b
= -------------- - --------------
(a-b)(a+b) a + b

7ab   (a - b)^2
= -------------- - -----------------------
  (a-b)(a+b) (a + b)(a-b)

7ab a^2 - 2ab + b^2
= -------------- - -----------------------
  (a-b)(a+b) (a + b)(a-b)

7ab - a^2 + 2ab - b^2
= -----------------------------------
   (a-b)(a+b)

- a^2 + 9ab -  b^2
= -----------------------------------
   (a-b)(a+b)

Answer is A. first one

6 0

3 years ago

Which type of study best describes the following research most likely to be done? A study is being conducted by an insurance act

balu736 [363]

B sounds like the best one to me

5 0

3 years ago

Read 2 more answers

What are two ratios equvilant to 8:6?

disa [49]

4:3 (simplified) and 16:12 (doubled) both work
Hope this helps!

8 0

3 years ago