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3 years ago

Select all the equations that represent functions where the range decreases as the domain increases.

Mathematics

1 answer:

taurus [48]3 years ago

3 0

A, C, and E.
you can check them by putting into y=mx+b form. if m is negative then as domain increases range decreases.

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Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1/4^-1/2 = ___ a0

Nastasia [14]

For this case we have, by definition:

$a^{-b} =\frac{1}{a ^ b}$

So, we have:

$\frac{1}{4}^{-\frac{1}{2}}=\frac{1}{(\frac{1}{4})^{\frac{1}{2}}}$

On the other hand we have that by definition:

$a^{\frac{1}{2}}=\sqrt{a}$

Thus, the expression can be written as:

$\frac{1}{\sqrt {\frac{1}{4}}} =$

$\frac{1}{\frac{1}{\sqrt{4}}}$

$\frac{1}{\frac{1}{2}}$

$\frac{1*2}{1*1}=2$

So, we have:

$\frac{1}{4}^{-\frac{1}{2}}= 2$

Answer:

$\frac{1}{4}^{-\frac{1}{2}}= 2$

4 0

3 years ago

Translate the sentence into an equation. The sum of 8 times a number and 9 equals 4.

Lesechka [4]

The answer is 8x+9=4

3 0

3 years ago

Read 2 more answers

If 80 persons can perform a piece of work in 16 days of 10 hours each, how

eduard

Answer:

The number of men needed to perform a piece of work twice as great in tenth part of the time working 8 hours a day supposing that three of the second set can do as much work as four of the first set is:

1200 men.

Step-by-step explanation:

To find the answer, first, we're gonna find how many hours take to make the piece of work in 16 days, taking into account each day just has 10 hours:

Number of hours to make a piece of work = 16 * 10 hours
Number of hours to make a piece of work = 160 hours.

Now, we divide the total hours among the number of persons:

Equivalence of hours per person = 160 hours / 80 persons.
Equivalence of hours per person = 2 hours /person

This equivalence isn't the real work of each person, we only need this value to make the next calculations. Now, we have a piece of work twice as great as the first, then, we can calculate the hours the piece of work needs to perform it (twice!):

Number of hours to make the second piece of work = 160 hours * 2
Number of hours to make the second piece of work = 320 hours

We need to make this work in tenth part of the time working 8 hours a day, it means:

Time used to the second work = 320 hours / 10
Time used to the second work = 32 hours
Time used to the second work = 32 hours / 8 hours (as each day has 8 hours)
Time used to the second work = 4 days

Now, we know three of the second set can do as much work as four of the first set, taking into account the calculated equivalence, we have:

Work of four workers of first set = Work of three workers of second set
Work of four workers of first set = Equivalence * 4 persons.
Work of four workers of first set = 2 hours /person * 4 persons
Work of four workers of first set = 8 hours.

So, three persons of the second set can make a equivalence of 8 hours. At last, we calculate all the number of workers we need in a regular time:

Number of needed workers in a regular time = (320 hours / 8 hours) * 3 persons.
Number of needed workers in a regular time = 40 * 3 persons
Number of needed workers in a regular time = 120 persons

Remember we need to perform the job not in a regular time, we need to perform it in tenth part of the time, by this reason, we need 10 times the number of people:

Number of needed workers in tenth part of the time = 120 persons * 10
Number of needed workers in tenth part of the time = 1200 persons

With this calculations, you can find the number of men needed to perform a piece of work twice as great in tenth part of the time working 8 hours a day supposing that three of the second set can do as much work as four of the first set is 1200 persons.

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3 years ago

Marking brainliest Need help with this

nikklg [1K]

Answer:

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2 years ago

Mels family is driving out of state to go to her grandmothers house. They know that it takes 20 gallons of gas to get there, and

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The answer to your question is $45.15

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2 years ago