The pair of points is on the graph of an inverse variation. Find the missing value. (1.6,6) and (8,y)

Mathematics

1 answer:

____ [38]3 years ago

5 0

<h3>Answer: y = 1.2</h3>

Work Shown:

Inverse variation equations can be written in the form x*y = k for some fixed number k. Let's plug in the first point (x,y) = (1.6, 6) to compute the value of k

x*y = k

1.6*6 = k

9.6 = k

k = 9.6

Therefore the equation updates to

x*y = 9.6

Plug in x = 8 and solve for y

x*y = 9.6

8*y = 9.6

y = 9.6/8 .... divide both sides by 8

y = 1.2

You might be interested in

Solve problems 3, 7, 15, 17, 19, 20, 21

7nadin3 [17]

3. | -9 | = 9

7. - | -5 * -7 | = - | 35 | = -35

15. | m + 3 | = 7

m + 3 = 7 -(m + 3) = 7
m = 7 - 3 -m - 3 = 7
m = 4 -m = 10
m = -10

so m = 4 and m = -10

17. | -3d | = 15

-3d = 15 -(-3d) = 15
   d = 15/-3 3d = 15
d = - 5 d = 15/3
d = 5

so d = 5 and d = -5

19. | 4b - 5 | = 19

4b - 5 = 19 -(4b - 5) = 19
4b = 19 + 5 -4b + 5 = 19
4b = 24 -4b = 14
b = 24/4 b = 14/-4
b = 6 b = - 7/2

so b = 6 or b = -7/2

20. | x - 1 | + 5 = 2
| x - 1 | = 2 - 5
| x - 1 | = -3
There is no solution on this one because an absolute value cannot equal a negative number

21. -4 | 8 - 5n | = 13
| 8 - 5n | = - 13/4
There is also no solution for this one because of the same reason...absolute values cannot equal negative numbers

8 0

3 years ago

What is the final price for a pair of $39.50 jeans after 5% sales tax has been added

taurus [48]

It would be 41.47 how could you ADD tax and get a significantly lower amount hope this helps

5 0

2 years ago

Solve: logx64 = 3 which is an equivalent equation?

zepelin [54]

By applying the definition of logarithm, you have

$\log_x(64) = 3 \iff x^3 = 64$