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2 years ago

Factor the expression and simplify as much as possible. 24x(x2 1)4(x3 1)5 42x2(x2 1)5(x3 1)4

Mathematics

1 answer:

zmey [24]2 years ago

6 0

Answer: 120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]

Step-by-step explanation:

=24x(x^2 + 1)4(x^3 + 1)5 + 42x^2(x^2 + 1)5(x^3 + 1)4

Remove the brackets first

=[(24x^3 +24x)(4x^3 + 4)]5 + [(42x^4 +42x^2)(5x^3 + 5)4]

=[(96x^6 + 96x^3 +96x^4 + 96x)5] + [(210x^7 + 210x^4 + 210x^5 + 210x^2)4]

=(480x^6 + 480x^3 + 480x^4 + 480x) + (840x^7 + 840x^4 + 840x^5 + 840x^2)

Then the common:

=[480(x^6 + x^3 + x^4 + x) + 840(x^7 + x^4 + x^5 + x^2)]

=120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]

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How many days are in 37 000 minutes?

vivado [14]

Answer:

the answer is 24.7 days

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3 years ago

Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher

Sliva [168]

The value of $f(g(x))$ is $6x^{3} +4$

Explanation:

The function $f(x)$ is given by

$f(x)=2x^{2} +4$

The function $g(x)$ is given by

$g(x)=\sqrt{3x^{3} }$

To determine the value of $f(g(x))$ , let us first substitute the value of $g(x)$ .

Thus, we get,

$f(g(x))=f(\sqrt{3x^{3} } )$

Now, substituting for $x=\sqrt{3x^{3} }$ in the function $f(x)$ , we get,

$f(g(x))=2(\sqrt{3x^{3} } )^2+4$

Simplifying, the expression, we get,

$f(g(x))=2({3x^{3} } )+4$

Multiplying the term within the bracket, we have,

$f(g(x))=6x^{3} +4$

Thus, the value of $f(g(x))$ is $6x^{3} +4$

Hence, the value of $f(g(x))$ represents the total amount of money that Barrett earns for working x hours.

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2 years ago

Use the numbers 3 and 4 to make a fraction that is greater than 1 and a fraction less than 1. Explain how you made your fraction

Lana71 [14]

Answer:

4/3

Step-by-step explanation:

put one number on the top and one on the bottom. trial and error...

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3 years ago

Read 2 more answers

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Jobisdone [24]

Answer:

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2 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

2 years ago