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Delicious77 [7]
3 years ago
7

uppose that y varies inversely with x. Write an equation for the inverse variation. y = 2 when x = 5

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

An equation for the inverse variation y = 2 when x = 5 is:

y=10/x

Step-by-step explanation:

Suppose that y varies inversely with x:

y=k/x

Write an equation for the inverse variation y = 2 when x = 5

Substituting y by 2 and x by 5 in the formula above:

2=k/5

Solving for k: Multiplying both sides of the equation by 5:

5(2)=5(k/5)

10=k

k=10

Then the equation is:

y=k/x

y=10/x

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Answer:

y=x+31.25

Because x stand for cauclator so 31.25 per x so it would end up being x+31.25

Step-by-step explanation:

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2 years ago
Find the slope of the line through the given points (9,2) and (7,8)
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m=-3
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3 years ago
What is the value of n + 1 if n= 7?
inna [77]

Answer:

8

Step-by-step explanation:

n+1equal 8

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3 years ago
Read 2 more answers
The area of a door is 3024 square inches. If
olasank [31]

Answer:

Lets take all factors into consideration first

The door is a rectangle and the area of a rectangle is length times width

Let the width be w

Let the length be l

Equation length × breadth = area

(w+48)w = 3024

w^2 + 48w = 3024

w^2 + 48w - 3024 = 0

w^2 + 84w - 36w - 3024 = 0

w(w + 84) -36 ( w + 84) = 0

(w + 84) (w - 36) = 0

w + 84 = 0 AND w - 36 =0

w = -84 and w = 36

Since width cannot be negative, the right answer is 36

How did I get 84 and 36? Well, I had to factorize 3024 and since 84 times 36 is 3024 and 84 minus 36 is 48, I chose them.

7 0
3 years ago
The graph below shows the solution to which system of inequalities?
nlexa [21]

Answer:

Option D.

Step-by-step explanation:

Consider option D. y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3

Take point (0,0)

On putting this point in inequation y\leq \frac{3x}{4}+10 , we get

0\leq 10 which is true . So, solution is region towards the origin i,e region below the line y= \frac{3x}{4}+10 including the line itself .

On putting (0,0) in inequation y\leq \frac{-x}{2}-3 , we get 0\leq -3 which is false , so solution is region away from the origin i.e region below line y= \frac{-x}{2}-3 including the line itself .

So, common solution to both the inequations is the shaded part in the given figure .

In other words, we can say that the graph shown in the given figure represents system of equations: y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3

5 0
3 years ago
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