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4 years ago

Factor the expression 4x+32. Explain each step you take in the process.

Mathematics

2 answers:

9966 [12]4 years ago

8 0

You can take 4 out of both 4x and 32
Then you would have 4(x+8)

patriot [66]4 years ago

3 0

$4x+32=4x+4\cdot8=\boxed{4\cdot(x+8)}$

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After x + 2 over 2 minus X+1 over 3x have been combined using the least common denominator of 6x, what is the numerator?

SIZIF [17.4K]

Answer:

3x²+4x-2

Step-by-step explanation:

$\frac{x+2}{2}$ - $\frac{x+1}{3x}$ are not like terms. To make them like terms, you have to multiply the first fraction by 3x, and the second by 2.

This makes it $\frac{3x(x+2)}{6x}$ - $\frac{2(x+1)}{6x}$ , which can be expanded to $\frac{3x^{2}+6x}{6x}$ - $\frac{2x+2}{6x}$ .

This can be simplified to $\frac{3x^{2} +4x-2}{6x}$ .

The numerator is therefore 3x²+4x-2.

3 0

3 years ago

Collin read 1/3 of his book on Friday. Over the weekend, he read 20% of the remaining pages. If the book has a total of 300 page

Serggg [28]

140 pages
1/3 of 300 is 100pages
20% of 200 (remaining pages) is 40
100 + 40 = 140

3 0

3 years ago

Read 2 more answers

Translate this phrase into an algebraic expression.

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

2V - 66

This is just an expression. It is not an equation and it cannot be solved. You are just being asked to set up something that could be used later on.

5 0

4 years ago

What is the inverse of the function f(x) = 8x+1

Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember "f(x)" is the same thing as "y". Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1

Switch the "x" and "y" variables

x = 8y + 1

Isolate "y". Move the "y" variable to the left for standard formatting

8y + 1 = x

8y + 1 - 1 = x - 1 Subtract 1 from both sides

8y = x - 1

$\frac{8y}{8}=\frac{x-1}{8}$ Divide both sides by 8 and simplify

$y=\frac{x-1}{8}$ Inverse equation

$y=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

Use function notation, change "y"

$f^{-1}(x)=\frac{x-1}{8}$ Simplified

$f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

6 0

3 years ago

Last Sunday 1.575 people visited the amusement park % of the visitors were adults , 16% were teenagers and 28 were children ages

jasenka [17]

Answer:

882 , 252 , 441

Step-by-step explanation:

There are some mistakes in question and the corrected one is written below:

Q. Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the park.

Given:

Total number of people visited amusement park = 1,575

Percent of adult people = 56%

Percent of teenagers = 16%

Percent of children = 28%

Now, we have to find number of adults, teenagers, and children that visited the park last Sunday.

Solution:

Number of adults = $56\%\ of \ 1575=\frac{56}{100}\times1575= \frac{88200}{100} =882\ adults$

Number of teenagers = $16\%\ of\ 1575=\frac{16}{100} \times1575=\frac{25200}{100} =252\ teenagers$

Number of children = $28\%\ of\ 1575=\frac{28}{100} \times1575=\frac{44100}{100} =441\ children$

Therefore, the number of adults are 882 , teenagers are 252 , and children are 441 that visited the park last Sunday.

6 0

3 years ago