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OleMash [197]
3 years ago
9

Suppose that y varies inversely with x. Write a function that models the inverse function. x = 15 when y = 2.

Mathematics
1 answer:
shutvik [7]3 years ago
8 0
Inverse variation means y=k/x (direct variation is y=kx)

You are given a point, so you can solve for the constant k...

2=k/15

k=30 so the function is:

y=30/x
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Simplify the expression: (− 2/3 pq^4)^2·(−27p^5q)
VladimirAG [237]

Answer:

-12p^7q^9

Step-by-step explanation:

(-2/3Pq^4)^2×(-27P^5q)

= ((-2)^2)/3^2 × P^2 q^4-2 × (-27qp^5)

= ((-2)^2)/3^2 × 27p^7q9

= (((-2)^2 x 27p^7q9)/3^2

= -((4×27p^7q^9)/9)

= -(108p^7q^9)/9

= -12p^7q^9

4 0
3 years ago
Match the equation with the graph -0.4x-0.8y=0.10
laiz [17]
Can't see the graph, but it should look something like this:

7 0
3 years ago
A train takes 1.5 hours to travel 525 km. Calculate the speed of the train in kilometers per hour.
kow [346]

Answer:

1.5 hours to 525 km

Speed in km/h=

525 \div 1.5 = 350 \: kmph

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Sound waves travel at a speed of 330.0 m/s how long does it take for the sound of thunder to travel 1.5 km?
Lunna [17]

Answer:

4.5454 seconds

Step-by-step explanation:

1.5 km is equal to 1,500 m

1,500 m divided by 330.0 m/s = 4.5454 s

7 0
3 years ago
Find the values of x and y. State which theorem(s) you used.
Usimov [2.4K]

The required simplified value of x and y is 32 and 84 respectively.

Given that,
To find the values of x and y. State which theorem(s) you used.

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Vertical opposite angles

3x = 5x - 64
2x = 64
x = 32

Now,

5x - 64 = 5*32 - 64
            = 160 - 64

            = 96°
Now complementary angle y
y = 180 - 96°

y = 84°


Thus, the required simplified value of x and y is 32 and 84 respectively.

Learn more about simplification here:
brainly.com/question/12501526

#SPJ1

5 0
2 years ago
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