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2 years ago

If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2.

Mathematics

1 answer:

eduard2 years ago

3 0

Answer:

D. 104

Step-by-step explanation:

$y \: \alpha \: \frac{1}{ {x}^{2} } \\ \\ y = \frac{k}{ {x}^{2} }$

when y is 26, x is 4:

$26 = \frac{k}{ {(4)}^{2} } \\ k = 416$

when x is 2:

$y = \frac{416}{ {x}^{2} } \\ \\ y = \frac{416}{ {(2)}^{2} } \\ y = 104$

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Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his

Ksivusya [100]

Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

Step-by-step explanation:

Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his checking account of $180. Let's solve it step by step :

Alex wrote checks on Tuesday for $30 and $40:

Let's suppose Alex initially had x amount of money out of which $30 & $40 is deducted! so left amount of money is $(x-70) .

He also made a deposit in his checking account of $180:

Out of left money $(x-70) , Alex deposited $180 in account so new money = $(x-70) + $180 = $(x+110)

Therefore, Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

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3 years ago

Find the missing lengths. leave your answers as radicals in simplest form

LiRa [457]

Check the picture below.

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2 years ago

What is 1 to 4 and 3 to 12?

zloy xaker [14]

Answer:

1:4 and 3:12

Step-by-step explanation:

They are equivalent! Hope this helps! :)

7 0

2 years ago

Read 2 more answers

Identify the type of conic section that is represented by the equation y^2- 1 = 4(x-7). DUE IN 2 HOURS, will give BRAINLIEST! A.

Elenna [48]

Answer:

Solution : Parabola

Step-by-step explanation:

As you can see only one variable is square in this situation, so it can only be a parabola. We can prove that it is a parabola however by converting it into standard form (x - h)^2 + (y - k)^2.

$y^2-1=4\left(x-7\right) = y^2-1=4\left(x-7\right)$

Respectively it's properties would be as follows,

$\left(h,\:k\right)=\left(\frac{27}{4},\:0\right),\:p=1$

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3 years ago

The sum of four consecutive odd integers is -72. Write an equation to model this situation, and ind the values of the four integ

Nutka1998 [239]

Answer:

equation: (x-3) +(x-1) +(x+1) +(x+3) = -72
values: -21, -19, -17, -15

Step-by-step explanation:

When dealing with consecutive integers, it often simplifies the problem to work with their average value. We know the average value of the integers in this problem is the even integer between the middle two. We can call it x, and write the equation ...

(x-3) +(x-1) +(x+1) +(x+3) = -72

This simplifies to ...

4x = -72 . . . . . . . we knew this before we wrote the above equation, since the sum of 4 numbers is 4 times their average.

x = -18 . . . . . . . . the middle number of the sequence

So, the numbers are:

-18-3 = -21
-18-1 = -19
-18+1 = -17
-18+3 = -15

_____

A more conventional approach is to define the variable as the integer at one end or the other of the sequence. If we make it be the lowest number, then the equation is ...

(x) +(x +2) +(x +4) +(x +6) = -72

and that simplifies to ...

4x +12 = -72 . . . . . collect terms

4x = -84 . . . . . . . . subtract 12

x = -21 . . . . . . . . . . divide by 4

Now, the other three numbers are found by adding 2, 4, and 6 to this one.

3 0

3 years ago