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3 years ago

If y varies inversely as x and y = –9 when x = –11, find y when x = 66.

Mathematics

2 answers:

Ann [662]3 years ago

8 0

Answer:

y=3 divided by 2

Step-by-step explanation:

zlopas [31]3 years ago

6 0

Answer:

$y=\frac{3}{2}$

Step-by-step explanation:

$y=\frac{k}{x}$

$-9=\frac{k}{-11}$

$k=99$

$y=\frac{99}{66}$

$y=\frac{3}{2}$

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I have the question in a screengrab. Thank you, whoever helps me.

nata0808 [166]

To simplify

$\sqrt[4]{\dfrac{24x^6y}{128x^4y^5}}$

we need to use the fact that

$\sqrt[4]{x^4}=|x|$

Why the absolute value? It's because $(-x)^4=(-1)^4x^4=x^4$ .

We start by rewriting as

$\sqrt[4]{\dfrac{2^23x^6y}{2^6x^4y^5}}$

$\sqrt[4]{\dfrac{2^23x^4x^2y}{2^42^2x^4y^4y}}$

Since $x\neq0$ , we have $\dfrac xx=1$ , and the above reduces to

$\sqrt[4]{\dfrac{3x^2y}{2^4y^4y}}$

Then we pull out any 4th powers under the radical, and simplify everything we can:

$\dfrac1{\sqrt[4]{2^4y^4}}\sqrt[4]{\dfrac{3x^2y}{y}}$

$\dfrac1{|2y|}\sqrt[4]{3x^2}$

where $y>0$ allows us to write $\dfrac yy=1$ , and this also means that $|y|=y$ . So we end up with

$\dfrac{\sqrt[4]{3x^2}}{2y}$

making the last option the correct answer.

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3 years ago

During 2022, its first year of operations as a delivery service, Flounder Corp. entered into the following transactions.

polet [3.4K]

Answer:

wait 2022?!?!?!!?

Step-by-step explanation:

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2 years ago

The statement today the dollar is worth 45 cents describe

Aneli [31]

This statement is false. The dollar is worth 100 cents.

Hope this helps :)

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3 years ago

Mr. Lew recorded the average length, in minutes, of phone calls received at work. He recorded the data in the box plots below. A

satela [25.4K]

Answer:

Time spent on professional calls is typically shorter but less consistent than time spent on personal calls.

Step-by-step explanation:

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3 years ago

I do not understand this! please help!

Bad White [126]

Answer:

So this is an algebra question, yes?

So an equation of a line follows this format: y=mx+b.

(m is your slope. b is the y-int)

In order to get to that equation, you use the formula: y-y¹=m(x-x¹).

(this is your point-slope formula)

If you are given two points, they want you to use this formula to find the slope:

y²-y¹ all divided by x²-x¹. (Fraction form).

so, label the points.

(0,6) 0 will be x¹. 6 will be y¹.

(3,0) 3 will be x².. 0 will be y².

(0-6) all over (3-0).

you get -6 over 3. You can simplify that to -2.

-2 is your slope.

so plug that into the second formula along with either one of the points given to you. I am going to choose (0,6) randomly.

y-6=-2(x-0)

Then you solve like a regular equation.

y-6=-2x. [-2×0 is 0 so dont include it]

y=-2x+6 [bring the -6 over by adding it]

There is your equation of the line that passes through both of those points.

Slope intercept form is the equation that has both the slope (-2) and the y intercept (6).

Point-slope form is the long formula we used to get the slope intercept form. It is called that because it shows a point on the graph (0,6) and the slope (-2).

Normally, they will ask you for the slope-intercept form.

Hope this helps.

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3 years ago