Mathematics College

In the function y=f(x), y varies inversely with the square of x and when x=4, y=1/2. Find y when x=1.

Answers

Answer 1

ok so

y= 4/3x2

Y varies inversely with square of x means

y = k (1/x²) where k is the constant

plug in y =1/3 and x = - 2 in the above equation.

1/3=k (1/{-2}²)

1/3=k (1/4)

multiply with 4 to both sides.

4/3 =k

therefore,

y=4/3 (1/x²) = 4/3x²

In The Function Y=f(x), Y Varies Inversely With The Square Of X And When X=4, Y=1/2. Find Y When X=1.

Related Questions

A square piece of paper has a perimeter of 36 cm. What is the area of a square piece of paper with twice that perimeter? *
323 sq.cm
324 sq.cm
81 sq.cm
---------------------
( perimeter = l+ b )
(area = l × w )
(l= length)
(b= breadth )
(w= width)

Answers

Answer:

Area= 18 x 18=324 sq.cm

Step-by-step explanation:

p=36 x2=72 (as it is twice that of the original paper)

since it is a square, length of 1 side = 72/4= 18

so, the area = l x l= 18 x 18= 324 sq.cm

Answer:

Area= 18 x 18=324 sq.cm

Step-by-step explanation:

p=36 x2=72 (as it is twice that of the original paper)

Since it is a square, length of 1 side = 72/4= 18

Therefore, the area = l x l= 18 x 18= 324 sq.cm

Hope this helps :)

The total age of a cat, dog, and a monkey is 4 years 2 months. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?

Answers

Answer:

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

Step-by-step explanation:

please help :( ill give 40 points

Answers

Answer:

1. distance and time are the variables. 2. the variables are related by the speed of the car

the interval [2, 4] is divided into n equal subintervals of length delta x. What is delta x (in terms of k and n)

Answers

Each subinterval would have length ∆x = (4 - 2)/n = 2/n

Does each pair of expressions form an equation when joined with an equals sign?
Select Yes or No for each pair of expressions.
Expressions

(1/3) ² +1 and 2 - 8/9

(1+ 1/5)^2 and 2
16/25

Answers

Equations are expressions with equal values

(1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign(1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign

(a) (1/3) ² +1 and 2 - 8/9

Rewrite as:

[tex]\mathbf{(1/3)\² +1 = 2 - 8/9}[/tex]

Evaluate the exponent

[tex]\mathbf{1/9 +1 = 2 - 8/9}[/tex]

Take LCM

[tex]\mathbf{1\frac 19 = \frac{18- 8}{9}}[/tex]

[tex]\mathbf{1\frac 19 = \frac{10}{9}}[/tex]

Simplify

[tex]\mathbf{1\frac 19 = 1\frac{1}{9}}[/tex]

Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign

(b) (1+ 1/5)^2 and 2 16/25

Rewrite as:

[tex]\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}[/tex]

Take LCM

[tex]\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{\frac{36}{25} =2\frac{ 16}{25}}[/tex]

Rewrite as:

[tex]\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}[/tex]

Hence, (1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign

Answers

Answer:

Step-by-step explanation:

i did the math she needs to wake up at 8:00

Help help help please 2 more questions please please

Answers

it is first dilated by 4 and then reflected across the y-axis

The equation of two functions f(x) And g(x) are typed into a graphing calculator to see both graphs on the same coordinate plane. The graphs shown below represents the two functions.
Which are approximate solutions of the equation f(x)=g(x) Select all that apply.
A. 6
B. 0.7
C. 0
D. 4.6

Answers

Answer:

The solution of the equation f(x) = g(x) is the set of all x for which the graphs of f and g intersect. The solution of the inequality f(x) < g(x) is the set of all x for which the graph of f lies below the graph of g

Please help do this

Answers

Answer:

1)m+5q=1+5x5 =262)(y-x^3)=3-1^3 =3-1 =23)q(p+2)=3(3+2) =3(5) =154)y+y-x=5+5-6 =10-6 =45)(z+y)÷6=6+6÷6 =26)h(j-h)=3(6-3) = 3x3=97)x+y+y = 5+2+2=98)z^2-y =9-4=59)b(4+a)=2(4+6) =2x10 =2010)m-n+m =5-1+5 = 4+5 =911)(h+j)÷6 = (2+4)÷6 = 1

mark as brainliast plz

Use properties to evaluate 1/3 (-5 ÷ 1/2 ) 1/4?

A. - 5/2
B. 5/8
C. - 5/8
D. 5/2

Answers

I believe the correct answer is C

whats the answer can someone answer please

Answers

Answer:

b and c

Step-by-step explanation:

In Martin's class of 20 students, 4 students report that social studies is their favorite class and 75% of the students report that PE is their favorite class. Show your work to explain how to determine whether more students prefer social studies or PE. (5 points)
pls Help!

Answers

Answer:

More students like PE

Step-by-step explanation:

100÷20=5

1 student = 5%

4×5=20

20% students favourite is social studies

75%>20%

change to mixed number

42/8

Answers

Answer:

42/8= 5 2/8

explanation:

8*5=40 42-40=2

therefore

42/8= 5 2/8

Answer:

[tex]5 \frac{2}{8} [/tex]

Step-by-step explanation:

Basically, mix number is formed by 3 parts,

They are,

* A whole number

* A numerator

* A denominator

Now lets write this number as a mix number,

First simply divide 42 by 8

[tex] \frac{42}{8} = 5[/tex]

[tex]remainder = 2[/tex]

Now you can write the remainder as a fraction,

[tex] \frac{2}{8} [/tex]

And now you can write the mix number like this,

[tex]5 \frac{2}{8} [/tex]

Hope this helps you.

Let me know if you have any other questions :-)

What is the y-intercept of the graph of the equation [tex]y=x(1/4) - 2/3[/tex]

A. -2/3

B. 2/3

C. -1/4

D. 1/4

Answers

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x - [tex]\frac{2}{3}[/tex] ← is in slope- intercept form

with y- intercept c = - [tex]\frac{2}{3}[/tex] → A

What is the answer to this question?

Answers

Answer:

The answer should be A.

Step-by-step explanation:

The equilateral triangle with side 12 has altitude

Answers

Answer:

Step-by-step explanation:

(-5)⁶ ÷ (-5)⁸
Solution

Answers

The answer is 1/25. I hope it helps you

HELP QUICK!!! I Really need the answer l'll give you ten points.

Answers

45 because there is a three on the top so 15 times 3 is 45 :)

15 x 31 = 465 this is the greatest number because 15 x 32 = 480

Need help please need help

Answers

Answer:

b.y=4

c. x=6

These are the answers hope this helps

Answer:

sorry cant help

Step-by-step explanation:

What’s 3 plus 3 please help I don’t the answer

Answers

Answer:

Step-by-step explanation:

3+3=6 lolzzz ik u already knew that but im taking dem points!!!

Who could help me out on these questions there is a store to it ! Asap pleaseee

Answers

where is the passage?

can some one awnser this i got 2 more questions for this test.

Answers

Answer:

and question is

Step-by-step explanation:

if b=p+5 and a=p^2+10p+1 find an expression that equals 2b+3a in standard form

Answers

Answer:

3p² + 32p + 13

Step-by-step explanation:

Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13

Answer:

3p² + 32p + 13

Step-by-step explanation:

3p² + 32p + 13

1. What is the slope of this graph?
2. What is the y-intercept for the graph?

Answers

Answer:

ndjsjz

Step-by-step explanation:

ujz d d f f f g f tt r r r r r r r r r r0

8nnnnjjj

A square is 3 inches by 3 inches. What is its area

Answers

Answer:

Step-by-step explanation:

Because area is multipication, you need to multiply legth and width. So 3x3=6. Hope it helps! :)

Find the area of grass

Answers

Answer:

125m²

Step-by-step explanation:

find the area of the green rectangle and remove the area of the yellow rectangle

(12 - 2) * (16 - 2) - (6 * 2.5) =

10 * 14 - 15 =

140 - 15 = 125m²

What is the area of the figure at the right explain how you found your answer

Answers

Answer:

You have a photo to show the work?

Step-by-step explanation:

here's my question.

Answers

Answer:

30 Chocolates

Step-by-step explanation:

The box was new and therefore full, so it had 5/5 of chocolates left.

When Bob ate 18, 2/5 were left, so he must have eaten 5/5 - 2/5 or 3/5 of the chocolates:

5/5 - 2/5 = 3/5

You know that 3/5 of the chocolates are 18, as he ate 18 chocolates. Divide 18 by 3 to get 6:

18 / 3 = 6

This is 1/5 of the chocolates. Multiply this by 5 to get 30:

6 * 5 = 30

This is 5/5 of the chocolates and therefore the total is 30 chocolates.

A random number generator generates numbers from 1 to 10. What is the probability that the number generator generates a 3 ?

Answers

Answer:

1/10

Step-by-step explanation:

the probability is that it will be 1/10

Solve for x. x+12√=x√+2

Answers

[tex]x = - \frac{2 \sqrt{3} + 12 }{11} [/tex]

hope it helps

see the attachment for explanation

[tex] \: [/tex]

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