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Alex Ar [27]
2 years ago
13

Find x when y=5 if y varies inversely as x and x=6 when y =-18

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
7 0
It has been given that y varies inversely with x, therefore the equation for this relationship is as follows;
y =\frac{k}{x}\
when y = -18 and x = 6
-18 = k/ 6 ---1)
We need to find x when y = 5
 5 = k/x
when we divide 1)/2), k gets cancelled 

\frac{-18}{5}=  \frac{x}{6}
x = -18*6/5
x = -21.6
when y = 5, then x = -21.6
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umka21 [38]

Answer:

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an example of how to find the perimeter is

Explanation:

For a rectangle, its perimeter is the sum of all for sides.

The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.

54=20+20+S+S

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54=40+2S

Solve for S

14=2S

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Step-by-step explanation:

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Find the slope of the curve r=cos(2theta) at theta=pi/6.. . Must this be solved parametrically? If so, why?
lara31 [8.8K]

By converting into parametric equations,

<span><span>x(θ)=r(θ)cosθ=cos2θ<span>cosθ
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By Product Rule,

<span>x'(θ)=−sin2θcosθ−cos2θsinθ</span>

<span>x'<span>(π/2)</span>=−<span>sin(π)</span><span>cos<span>(π/2)</span></span>−<span>cos(π)</span><span>sin<span>(π/2)</span></span>=1</span>

<span>y'(θ)=−sin2θsinθ+cos2θcosθ</span>

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So, the slope m of the curve can be found by

<span>m=<span>dy/dx</span><span>∣<span>θ=<span>π2
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I hope my answer has come to your help. Thank you for posting your question here in Brainly.

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3 years ago
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lions [1.4K]

Answer:

The second one

Step-by-step explanation:

A linear function will always increase or decrease by the same amount:

The first one adds eight for every increase of 1 in the x value

The third one subtracts three for every increase of 1 in the x value

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The second table is nonlinear

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ahrayia [7]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price
spayn [35]

<u><em>Answer:</em></u>

A box of 50 stickers would cost $13

<u><em>Explanation:</em></u>

<u>1- getting the equation representing the price:</u>

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

<u>We are given that:</u>

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

<u>i. getting the slope:</u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2

The equation now became: y = 0.2x + c

<u>ii. getting the y-intercept:</u>

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

y = 0.2x + c

6 = 0.2(15) + c

c = 6 - 0.2(15) = 3

<u>The final equation is:</u>

y = 0.2x + 3

where y is the price of the box and x is the number of stickers it contains

<u>2- getting the price of a box with 50 stickers:</u>

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

<u>This is done as follows:</u>

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

Hope this helps :)

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3 years ago
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