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3 years ago

9

Divide the following polynomial (16x^2-25)÷(4x+5)

1 answer:

Kazeer [188]3 years ago

5 0

Differnce of 2 perfect squares, recognize

(a^2-b^2)=(a-b)(a+b)
so
(16x^2-25)=((4x)^2-(5^2))=(4x-5)(5x+5)

so

(16x^2-25)/(4x+5)=(4x-5)(4x+5)/(4x+5)=4x-5

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Q bisects PR, PQ=3y, and PR=42. Find y and QR.

Vedmedyk [2.9K]

|PR| = |PQ| + |QR|; |PQ| = |QR| conclusion |PR| = 2|PQ|

|PQ| = 3y; |PR| = 42; |QR|=?

subtitute

42 = 2(3y)
6y = 42 |divide both sides by 6
y = 7

|QR| = 3(7) = 21

3 0

3 years ago

At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician

Serhud [2]

Answer:

The value of the test statistic is $t = 1.97$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 250$

The alternate hypotesis is:

$H_{1} \neq 250$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the null hypothesis value, $\sigma$ is the standard deviation and n is the size of the sample.

In this problem:

$X = 251.6, \mu = 250, \sigma = 5.4, n = 44$

So

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}$

$t = 1.97$

The value of the test statistic is $t = 1.97$

4 0

4 years ago

A boat is traveling at an average speed of 15 meters per second. How many kilometers per second is the boat traveling

damaskus [11]

$15 \frac{m}{s} \to 15\frac{10^{-3} km}{s} \to\boxed{0.015 \frac{km}{s}}$

8 0

3 years ago

Read 2 more answers

Factor completely<br> x^2 - 3x - 28

lbvjy [14]

Answer:

(x-7) (x+4)

Step-by-step explanation:

x^2 - 3x - 28

What two numbers multiply to -28 and add to -3

-7*4 = -28

-7+4 = -3

(x-7) (x+4)

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3 years ago

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anyanavicka [17]

Answer:

15

Step-by-step explanation:

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3 years ago