All categories

3 years ago

Y is inversely proportional to the square of x. If Y = 9 when x = 2, then what is y, when x is 10?

Mathematics

1 answer:

a_sh-v [17]3 years ago

5 0

Answer:

y = 0.36

Step-by-step explanation:

Given y is inversely proportional to x² then the equation relating them is

y = $\frac{k}{x^2}$ ← k is the constant of variation

To find k use the condition y = 9 when x = 2 , then

9 = $\frac{k}{2^2}$ = $\frac{k}{4}$ ( multiply both sides by 4 )

36 = k

y = $\frac{36}{x^2}$ ← equation of variation

When x = 10 , then

y = $\frac{36}{10^2}$ = $\frac{36}{100}$ = 0.36

You might be interested in

Describe all of the transformations occurring as the parent function f(x) = x^3 is transformed into g(x) = -0.5(3(x+4))^3 -8

hodyreva [135]

Step-by-step explanation:

The translations of the typical functions are

$y = a(bx + c) + d$

Where a is the vertical translation,

If a is greater than 1 or less than -1, we have a vertical stretch

If a is between -1 and 1 , we have a vertical compressions or shrink.

If a is negative, we have a negative reflection across the x axis.

If b is greater than 1 or less than -1, we have a horizontal compression or shrink

If b is between -1 and 1, we have a horizontal stretch

If b is negative, we have a reflection about the y axis,

If c is negative, we have a translation to the right c units

If c is positive, we have a translation to the left c units

If d is positive, we have a translation upward d units

If d is negative, we have a translation downward d units.

Here in this problem, our parent function is x^3.

So I would do the following transformations.

Reflect about the x axis
Vertical Shrink by a factor of 1/2
Horizontal Shrink by a factor of 3
Shift to the left 4 units
Shift downward 8 units.

4 0

2 years ago

The mean number of points scored by the los angeles lakers was 101.7. in what proportion of their game did the celtics score mor

Alex787 [66]

Thank you for posting your question here at brainly. I hope the answer will help. Belowis the solution:

Let X be a random variable for the Celtics score. Then you want

P(X > 101.7) 
 1 - P(X < 101.7) 
 = 1 - P((X - μ)/σ < (101.7 - 99.2)/10.5)) 
 = 1 - N_Z(0.2381)

4 0

3 years ago

Which is true about this division problem? Select all

worty [1.4K]

Answer:

45 does not go into 285 evenly

The quotient contains a repeating decimal

The quotient is 6.3

Step-by-step explanation:

285/45 = 6.33333333

6.33333333 = 6.3

3 0

3 years ago

Read 2 more answers

A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 550-meter head st

andrew-mc [135]

Answer:

a) distance covered by hare d1 = 8t

b) distance covered by tortoise d2 = 5t + 550

c) ∆d = 550 - 3t

Step-by-step explanation:

Given;

Speed of hare u = 8m/s

Speed of tortoise v = 5 m/s

Initial distance of tortoise d0 = 550 m

a) using the equation of motion;

distance covered = speed × time + initial distance

d = vt + d0

For hare;

d0 = 0

Substituting the values;

d1 = 8t + 0

d1 = 8t

b)using the equation of motion;

distance covered = speed × time + initial distance

d2 = vt + d0

For tortoise;

d0 = 550m

Substituting the values;

d2 = 5t + 550

d2 = 5t + 550 m

c) the number of meters the tortoise is ahead of the hare.

∆d = distance covered by tortoise - distance covered by hare

∆d = d2 - d1

Substituting the values;

∆d = (5t + 550) - 8t

∆d = 550 - 3t

6 0

3 years ago

What is the value of x? pls help me

pav-90 [236]

Answer:

√306

Step-by-step explanation:

→ Work out the height of the triangle

14 - 5 = 9

→ Use Pythagoras theorem

√15² + 9²

→ Simplify

√306

3 0

3 years ago