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andreyandreev [35.5K]
4 years ago
14

Factor completely 4x^3 + 8x^2 − 25x − 50.

Mathematics
2 answers:
n200080 [17]4 years ago
8 0
<span>First factor like terms
4x³ + 8x² - 25x - 50
4x²(x + 2) - 25(x + 2)

See that the factor in parenthesis is the same? Because they are the same, you can pair the outside factors together in a parenthesis. 

(4x² - 25)(x+2)

factor (4x² - 25) = (2x + 5)(2x - 5)

= (2x - 5)(2x + 5)(x + 2)
</span>
matrenka [14]4 years ago
3 0
Hello there!

\boxed{ (((4 * (x^3)) +  23x^2) -  25x) -  50} \\ \\ \boxed{ ((2^2x^3 +  23x^2) -  25x) -  50} \\ \\ 4x3+8x2-25x-50   \ (is \ not \ a \ perfect \ cube.) \\ \\ We \ then \ factor \ \boxed{\boxed{ (2x + 5)  *  (2x - 5) }} \\ \\ (FINAL \ RESULT) \\ \\   \left[\begin{array}{ccc}\boxed{(2x - 5)(2x + 5)(x + 2)}\end{array}\right]

Your correct answer would be (option c).

I hope this helps you!
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A doctoral student wants to determine the relationship between steps per minute and the time it takes to walk 100 feet in
Rina8888 [55]

Using correlation coefficients, it is found that that the correct option is given as follows:

The correlation would stay the same because the change in units for time would have no effect on it.

<h3>What is a correlation coefficient?</h3>
  • It is an index that measures correlation between two variables, assuming values between -1 and 1.
  • If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
  • If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

The correlation coefficient does not have units, hence if the units of the measures is changed, the coefficient remains constant, which means that the correct option is given by:

The correlation would stay the same because the change in units for time would have no effect on it.

More can be learned about correlation coefficients at brainly.com/question/25815006

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7 0
2 years ago
Ten samples of coal from a northern appalachian source had an average mercury content of 0.242 ppm with a standard deviation of
Dovator [93]
The confidence interval is from 0.2191 to 0.2649, given by

0.242\pm0.0229.

The z-score we need is found by first subtracting the confidence level from 1:
1 - 0.95 = 0.05

Divide that by 2:
0.05/2 = 0.025

Subtract that from 1:
1 - 0.025 = 0.975

Look this up in the middle of a z-table (http://www.z-table.com) and we see that the z-score is 1.96.

Now our confidence interval is given by
\overline{x} \pm z\times \frac{\sigma}{\sqrt{n}}&#10;\\&#10;\\0.242\pm 1.96 \times (\frac{0.037}{\sqrt{10}})&#10;\\&#10;\\0.242 \pm .0229&#10;\\&#10;\\0.242-0.0229=0.2191&#10;\\&#10;\\0.242+0.0229 = 0.2649
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3 years ago
What is surface area? any of the individual surfaces of a solid object a pattern of two-dimensional shapes that can be folded to
spin [16.1K]

Answer:

Any of the individual surfaces of a solid object pattern of three dimensional shapes.

Step-by-step explanation:

Surface area of a solid object is the measure of the total area of the surface of three dimensional objects. Example a sphere and a cube is a three dimensional objects.

4 0
3 years ago
Read 2 more answers
A car's speed is 45 miles per hour. How far will it go in 4 hours and 20 mins?
PIT_PIT [208]

Hi Quanzia25,

Solution:

45mph

45mph x 4hrs. = 180 miles in 4 hours

45 / 3 = 15

180 + 15 = 195

Answer:

The car has traveled 195 miles.

7 0
3 years ago
Read 2 more answers
Simplify 1/4(8x+16)+4x.
QveST [7]

Answer:

6x+4

Step-by-step explanation:

First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.

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3 years ago
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