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puteri [66]
3 years ago
13

Eva and emily can clean the entire house in 4 hours. Eva can do it by herself in 6 hours. How long would it take emily to do it

by herself?
Mathematics
1 answer:
aksik [14]3 years ago
6 0
Let x = the number of hours Eva needs to complete the job
and y = the number of hours Emily needs to complete the job

x = 6
1/x + 1/y = 1/4
(The amount of work Eva does in 1 hr + the amount of work Emily does in 1 hr should equal 1/4 of the total work)
1/6 + 1/y = 1/4
1/y = 1/12
y = 12 hours
Emily would take 12 hours to do it by herself.
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Answer: 120

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3 years ago
Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
Pepsi [2]

Answer:

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4

Step-by-step explanation:

The given function is presented as follows;

f(x) = \dfrac{2}{x - 1} + 4

From the given function, we have;

When x = 1, the denominator of the fraction, \dfrac{2}{x - 1}, which is (x - 1) = 0, and the function becomes, \dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote

Also we have that in the given function, as <em>x</em> increases, the fraction \dfrac{2}{x - 1} tends to 0, therefore as x increases, we have;

\lim_  {x \to \infty}  \dfrac{2}{(x - 1)} \to 0, and \  \dfrac{2}{(x - 1)}  + 4 \to 4

Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1

When -∞ < x < 1, we also have that as <em>x</em> becomes more negative, f(x) → 4. When x = 0, \dfrac{2}{0 - 1} + 4 = 2. When <em>x</em> approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left

Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

5 0
2 years ago
Greg is working on a school project
lyudmila [28]

Answer: Cool

Step-by-step explanation:

Greg is working on a school project

5 0
3 years ago
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Plsssss helppppp i need to do this work in 10 min plss helpp
Over [174]

Answer:

3/2 or 1.5

Step-by-step explanation:

Change in y/ Change in x

3/2

1.5

You're welcome and don't forget to click <u>THANKS</u>

7 0
3 years ago
Read 2 more answers
Taylor is making a mini apple pie with a radius of 3.14 in for her math class. what is the area of her mini pie?
artcher [175]

So First of all we need to know how to find the area of a circle.

Assuming that the apple pie is the shape of a circle

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Well we know that the radius = 3.14

And we know that \pi = 3.14 as well.

All we have to do is multiply..

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So the area of the pie is 30.95 in


Good Luck! :)


3 0
3 years ago
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