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3 years ago

Factor completely 7x3y +14x2y3 − 7x2y2.

Mathematics

2 answers:

netineya [11]3 years ago

8 0

The answer to the question is b

olganol [36]3 years ago

8 0

Answer:

$\largeboxed{7x^2y(x+2xy^2-y)}$

Step-by-step explanation:

$7x^3y+14x^2y^3-7x^2y^2\\\\7x^3y=\boxed7\cdot\boxed{x}\cdot\boxed{x}\cdot{x}\cdot \boxed{y}\\\\14x^2y^3=2\cdot\boxed7\cdot\boxed{x}\cdot\boxed{x}\cdot x\cdot\boxed{y}\cdot y\cdot y\\\\7x^2y^2=\boxed7\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{y}\cdot y\\\\7x^3y+14x^2y^3-7x^2y^2=\boxed7\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{y}(x+2\cdot x\cdot y\cdot y-y)\\\\=7x^2y(x+2xy^2-y)$

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Train a can travel a distance of 500 miles in 8 hours assuming the train moves a a constant rate write the linear equation that

Bogdan [553]

Answer:

Step-by-step explanation:nbfd

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3 years ago

Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e

netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

$F(x)=\frac{e^x-1-x}{x^2}$

When,

$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

$x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885$

$x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091$

$x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438$

$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

Now,

$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).

8 0

3 years ago

4p - 5 = 19 i need the steps to solve it

stiks02 [169]

Answer:

Hi, there your answer will be p=6

Step-by-step explanation:

Step 1: Add 5 to both sides.

4p−5+5=19+5

4p=24

Step 2: Divide both sides by 4.

$\frac{4p}{4} =\frac{24}{4}$

p=6

7 0

2 years ago

Read 2 more answers

Help me..............................................................................

vovangra [49]

Answer: C. $7.50 per box.

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2 years ago

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bekas [8.4K]

The composite function combines the palm tree and the seed functions

The composite function is t(d) = 60d + 20

<h3>How to determine the composite functions</h3>

The functions are given as:

Number of palm trees: t(s) = 3s + 20

Number of seeds: s(d) = 20d

The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:

t(s(d))

This is calculated as:

t(s(d)) = 3s(d) + 20

Substitute s(d) = 20d

t(s(d)) = 3 * 20d + 20

Evaluate the product

t(s(d)) = 60d + 20

Rewrite as:

t(d) = 60d + 20

Hence, the composite function is t(d) = 60d + 20

Read more about composite functions at:

brainly.com/question/10687170

4 0

2 years ago