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Margaret [11]
3 years ago
15

Identify the function in which y varies directly with x.

Mathematics
2 answers:
alisha [4.7K]3 years ago
8 0
I answer should be C.
Hope its right
And work.


patriot [66]3 years ago
3 0

Answer:  The correct option is (C) y = 4x.

Step-by-step explanation: We are given to identify the function in which y varies directly with x.

We know that

if y varies directly as x, then we write as follows :

y\propto x\\\\\Rightarrow y=k\times x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}]\\\\\Rightarrow y=kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Out of the given options, equation (i) matches with the third option y = 4x, for k = 4.

Therefore, the correct option is (C) y = 4x.

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This question is about finding the slope of the tangent line to an inverse function. I would love to know if my answer of 1/5 is
Nikolay [14]
Yes choice B) 1/5 is correct. You are using the correct formula and steps. Nice work.

Here's another way to look at it:

When you visually plot the inverse, you reflect everything over the line y = x. What happens is that every (x,y) point swaps coordinates. So if (1,2) is on g(x), then (2,1) is on the inverse, and vice versa. Swapping the x and y values will swap the nature of the tangent slope.

For any tangent on g(x), its slope is m = (dy)/(dx)

The corresponding slope on the inverse will be n = (dx)/(dy). All that's happened here is that the numerator and denominator flipped. Again because x and y have swapped places. If you wanted, you can picture the xy axis where the vertical axis is the x axis and the horizontal axis is the y axis. That's effectively what is going on here. 

So before you found that g'(1) = 5 meaning that m = 5/1 on g(x) at the point (1,2)
So n = 1/m = 1/5 for the point (2,1) on the inverse g function.
7 0
3 years ago
Find the total surface area.
Ede4ka [16]

Hey love! <3

Answer:

The right answer is A = 49.6 π ft^2

Step-by-step explanation:

<em><u>(Let pi = 3.1415926535898)</u></em>

<em>The formula for calculating the surface area of a cylinder is A=2πrh+2πr^2</em>

<em>So if r = 4 ft</em>

<em>and h = 2.2 ft</em>

<em>A= 2π(4)(2.2)+2π(4)^2</em>

<em>Once we've plugged in our formulas our final surface area is A =</em><em> 49.6 π ft2</em>

<em />

<em>Hope this helped you calculate the surface area! ◃┆◉◡◉┆▷ Sincerely, Kelsey from Brainly.</em>

<em />

<em>~ #LearnWithBrainly ~</em>

8 0
3 years ago
Read 2 more answers
It's a question from real and complex numbers which I can't solve. so someone PLZ HeLp​
Semmy [17]

Answer:

\frac{1}{5}

Step-by-step explanation:

Using the rules of exponents

a^{m} × a^{n} = a^{(m+n)}, \frac{a^{m} }{a^{n} } = a^{(m-n)}, (a^m)^{n} = a^{mn}

Simplifying the product of the first 2 terms

\frac{a^{p^2+pq} }{a^{pq+q^2} } × \frac{a^{q^2+qr} }{a^{qr+r^2} }

= a^{p^2-q^2} × a^{q^2-r^2}

= a^{p^2-r^2}

Simplifying the third term

5((a^p+r)^{p-r}

= 5a^{(p+r)(p-r)} = 5a^{(p^2-r^2)}

Performing the division, that is

\frac{a^{(p^2-r^2)} }{5a^{(p^2-r^2)} } ← cancel a^{(p^2-r^2)} on numerator/ denominator leaves

= \frac{1}{5}

4 0
3 years ago
What is the mean absolute deviation (MAD) of the data set?
irakobra [83]

Answer:

2+6+8+12+12=40

40 divided by 5=8

6+2+0+4+4=16

16 divided by 5=3.2

MAD=3.2

Step-by-step explanation:

3 0
2 years ago
Please help me with this question!
nika2105 [10]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
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