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3 years ago

What is the range of the function y = RootIndex 3 StartRoot x + 8 EndRoot?

Mathematics

2 answers:

AlladinOne [14]3 years ago

7 0

Answer:

- ∞ < y < ∞

Step-by-step explanation:

The given function is, $y = \sqrt[3]{x + 8}$ .

Now, the origin function of this above function is, $y = \sqrt[3]{x}$ which has real y-values as output for all real x-values input.

Hence, the function $y = \sqrt[3]{x + 8}$ will ba valid for all real values of x and will have real y-value corresponding to each x-value.

Therefore, the range of this function i.e. the y-value of this function will be

- ∞ < y < ∞. (Answer)

BARSIC [14]3 years ago

5 0

Answer:

- ∞ < y < ∞

On edge

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Richard is given one of four pieces of equal-sized fabric. After using some of his fabric for a project, he has 5/6 of a square

ValentinkaMS [17]

Answer:

Richard used $2\frac{1}{12}\ yd ^2$ of fabric for his project.

Step-by-step explanation:

Given:

Total amount of fabric = $11\frac23\ yd^2$

Now To convert a mixed fraction to an improper fraction, Multiply the whole number part by the fraction's denominator, Add that to the numerator,Then write the result on top of the denominator.

$11\frac23\ yd^2$ can be Rewritten as $\frac{35}{3}\ yd^2$

Number of pieces fabric was cut = 4

Richard is given one of four pieces of equal-sized fabric.

Amount of fabric Richard was given = $\frac14 \times \frac{35}{3}=\frac{35}{12}\ yd^2$

Amount of fabric left with Richard = $\frac56 \ yd^2$

We need to find the amount of fabric Richards used for his project.

Solution:

Now we can say that;

amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.

framing in equation form we get;

amount of fabric Richards used for his project = $\frac{35}{12}-\frac56$

Now we will make the denominator common using LCM we get;

amount of fabric Richards used for his project = $\frac{35}{12}-\frac{5\times2}{6\times2} = \frac{35}{12}-\frac{10}{12}$

Now Denominator is same so we will solve the numerator.

amount of fabric Richards used for his project = $\frac{35-10}{12}= \frac{25}{12}\ yds^2$

$\frac{25}{12}\ yds^2$ can be rewritten as $2\frac{1}{12}\ yd ^2$

Hence Richard used $2\frac{1}{12}\ yd ^2$ of fabric for his project.

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3 years ago

What is the length of the segment connecting the points (-9,3) and (-9,-2)?

kramer

Answer:

Step-by-step explanation:

same x coordinate

length = 3 + 2 = 5

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3 years ago

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2 years ago

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The length of a rectangular piece of land is 60 yard more than two times its width. The perimeter is 540 yard. Find its dimensio

babunello [35]

Answer:

l=200 yard

w=70 yard

Step-by-step explanation:

let width =w

length l=2w+60

then perimeter P=2(l+w)=2(2w+60+w)=540

3w+60=270

3 w=270-60=210

w=70

l=2*70+60=200

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2 years ago

Assume that cigarettes cost $7 per pack and consider a 21 year old college student smoker who smokes 15 packs of cigarettes per

stepladder [879]

Answer:

The answer is $57657.6

Step-by-step explanation:

First, you must determine the amount of money the student saves per month. To do this, the number of cigarette packages she smokes is multiplied by the price she pays for them.

Per month: 15 packs*$7 each packet=$105

This means that per month she save $ 105.

Now you must determine the amount of money saved per year, knowing that in a year there are 12 months. Therefore, you make a simple rule of three: If in a month you save $ 105, how much money do you save in 12 months?

Per year: $\frac{105*12months}{1 month} =1260$

This means that per year she save $ 1260. And she each month invests the amount she would have spent on cigarettes in a savings plan that averages a 4% annual return. This means that in addition to saving $ 1260 per year, she gets 4% annually. For this you must first know how much 4% equals. For that you must keep in mind that to obtain a percentage in decimals, you must divide by 100. Then 0.04 represents 4%.

Now, to get the annual return of the savings plan you multiply the percentage by the amount invested in the plan. And to determine the total amount of money she save in a year with this plan, you add the amount invested plus the annual return. All this is:

0.04*$1260+$1260=$1310.4

This means that finally per year she save $ 1310.4 with the annual return.

You know that between 65 and 21 years of age of the student, there is a difference of 44 years, obtained by calculating 65 years minus 21 years. Then you can make a simple rule of three to determine the amount of money saved during those 44 years:if in one year the student save $1310. 4, how much money do she save in 44 years?

$\frac{1310.4*44 years}{1 year} =57657.6$

So, finally,  she will have saved $ 57657.6 by the time she is 65

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