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Bas_tet [7]
3 years ago
10

Suppose that y varies inversely with X and that y equals 4 when x equals 6 what is an equation for the inverse variation

Mathematics
2 answers:
seraphim [82]3 years ago
5 0

Answer:

the answer is b. y=25/x  just took the exam <3<3<3<3<3

Step-by-step explanation:

nekit [7.7K]3 years ago
3 0
When two functions vary inversely with each other, they are usually in the form y = k / x, where k is the constant of proportionality.

To find the equation for the inverse variation, find the constant of proportionality. Do that by substituting the values for x and y into y = k / x and solving for k.

y = k / x
4 = k / 6
24 = k

Answer:
The constant of proportionality is 24. The equation for the inverse variation is y = 24/x.
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The area of a rectangle varies jointly as its length and width. Find the equation of joint variation if A = 60ft², l = 15ft, and
MaRussiya [10]

Answer: The length is 6 feet and the width is 10 feet.

Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.

We can now write an equation for the area of the rectangle as follows;

Area = L x W

60 = (W - 4) x W

60 = W^2 - 4W

If we rearrange all terms on one side of the equation, we now have

W^2 - 4W - 60 = 0

This is a quadratic equation and by factorizing, we now have

(W + 6) (W - 10) = 0

Hence,

Either W + 6 = 0 and then W = -6

Or W - 10 = 0 and then W = 10

We know that the side of the rectangle cannot be a negative value, so we go with W = 10.

Having calculated W as 10, the length now becomes

L = W - 4

L = 10 - 4

L = 6

Therefore, length = 6 feet and width = 10 feet

5 0
3 years ago
Read 2 more answers
somebody help pls Complete the table by filling in the multiplicative inverse of the numbers below 2,1/5,-4,​
Yakvenalex [24]

Answer:

Suppose we have a random number A.

The multiplicative inverse of A is a number X such that:

A*X = 1

When we work with real numbers, X = 1/A

Then:

A*(1/A) = A/A = 1

This means that (1/A) is the multiplicative inverse of A.

Where we need to have A ≠ 0, because we can not divide by 0.

Now we want to find the multiplicative inverse of the numbers:

2: Here the inverse is (1/2) = 0.5

1/5:  Here the inverse is  (1/(1/5)) = (5/1) = 5

-4: Herre the inverse is  (1/(-4)) = -(1/4) = -0.25

7 0
3 years ago
Solve for x in the equation x^2+14x+17=-96
Goshia [24]
X²+14x+49+17=-96+49
(x+7)²=-64, x+7=±8i, x=-7±8i, so x=-7+8i or -7-8i.
5 0
3 years ago
Read 2 more answers
Calculate 6 P 6 note n p r equals n Over N - r​
Murrr4er [49]

Answer:

7

Step-by-step explanation:

n! Might be 7, and n might be 6. r might also be 6. So 6 - 6= 0! = 1

So I think it might be 7 ÷ 1, which is 7.

7 0
3 years ago
What is the answer to the qustion 0.3h+1.2=0.1h-2.6
andreev551 [17]

Answer:

-19

Step-by-step explanation:

0.3h+1.2=0.1h-2.6

.2h+1.2=-2.6

.2h=-3.8

h=-19

7 0
3 years ago
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