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Strike441 [17]
3 years ago
6

( Help ASAP ) y varies inversely with x. If x is 6.4 when y is 1.5, what is k, the constant of inverse variation?

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

k = 9.6

Step-by-step explanation:

When dealing with inverse variation, the two variables vary in opposite directions. This means that as the first variable increases, second variable decreases and as the first variable reduces,the second variable increases.

Y varies inversely with x.

So as y increases, x reduces and as y reduces, x increases.

We would proceed by introducing a constant of variation, k

y = k/x

From the information given,

The constant of variation = k

The value if x = 6.4

The value of y = 1.5

To find the value of k

y = k/x

k = yx = 1.5 × 6.4

k = 9.6

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The solution for the following system of equations is shown on the graph. What is the solution?
Bingel [31]

The solution is (3 , 4) ⇒ 2nd answer

Step-by-step explanation:

The system of equations can be solved by:

  • Elimination method
  • Substitution method

The system of equations is:

y = 3 x - 5 ⇒ (1)

y = \frac{1}{3} x + 3 ⇒ (2)

By using the substitution method substitute y in equation (2) by equation (1)

3 x - 5 =  \frac{1}{3} x + 3

Subtract  \frac{1}{3} x from both sides

\frac{8}{3} x = 8

Divide both sides by \frac{8}{3}

x = 3

substitute x by 3 in equation (1)

y = 3(3) - 5

y = 9 - 5

y = 4

The solution is (3 , 4)

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

5 0
3 years ago
I need help please.​
Arturiano [62]

Answer:

a

Step-by-step explanation:

easy

6 0
3 years ago
PLEASE ANSWER FAST ITS DUE RN
Lena [83]

Answer:

Step-by-step explanation:

8 0
2 years ago
What is the measure of c?<br> a = 15<br> j = 24<br> k = 32
inessss [21]

Answer:

The answer to your question is c = 20

Step-by-step explanation:

Data

a = 15

j = 24

k = 32

c = ?

Process

Use proportions to solve this problem. Compare the small triangle and the large triangle.

1.- Proportion of the small triangle

             c/15

2.- Proportion of the large triangle

            k/j

3.- Equal but terms and solve for c

            c/15 = k/j

-Substitution

            c / 15 = 32/24

            c = 32(15)/24

-Result

            c = 20

       

4 0
3 years ago
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