All categories

5 months ago

The value of y varies directly as the square of x and y=-12 when x=2. What is y when x=-4?

1 answer:

3 0

The value of y varies directly as the square of x and y = -12 when x = 2 then the value of y when x = -4 exists y = 24.

<h3>What is meant by direct variation?</h3>

When two variable quantities contain a constant ratio, their relationship exists comprehended a direct variation. It exists said that one variable varies directly as the other. The formula for direct variation is y = kx, where k exists the constant of variation.

The constant value (often written k) relating amounts that rise or fall uniformly together. It exists the ratio of the amounts y and x:

k = y/x.

Put another way: y = kx.

Accordingly, the equation has the form y = kx, where k may be any number.

Substituting y = -12 when x = 2, we get

-12 = k × 2

simplifying the above equation, we get

⇒ k = -6

Therefore, the required equation exists y = -6x.

The value of y when x = -4 is y = -6 × -4 = 24.

To learn more about direct variation refer to:

brainly.com/question/6499629

#SPJ1

You might be interested in

Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

$3y = 9x - 6$

$2y + 6x = 4$

Required

The words that describe the equations

Make y the subject in (2)

$2y + 6x = 4$

Collect like terms

$2y = 4 - 6x$

Divide through by 2

$y = 2 - 3x$

Substitute: $y = 2 - 3x$ in (1)

$3y = 9x - 6$

$3(2 - 3x) = 9x - 6$

$6 - 9x = 9x - 6$

Collect like terms

$9x+9x = 6+6$

$18x = 12$

Solve for x

$x = \frac{12}{18}$

Simplify

$x = \frac{2}{3}$

Substitute $x = \frac{2}{3}$ in $y = 2 - 3x$

$y = 2 - 3*\frac{2}{3}$

$y = 2 - 2$

$y =0$

So, we have:

$x = \frac{2}{3}$ and $y =0$

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

6 0

2 years ago

What is the product of 0.23×3

sammy [17]

Answer:

.69

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Compare the process of solving |x – 1| + 1 < 15 to that of solving |x – 1| + 1 > 15. Check all of the following you includ

zepelin [54]

The required Comparison of the inequalities are

The |x – 1| + 1 > 15 represents the value of x lies between 13<x<15.

The range of values encompassing the region's junction is (-13, 15).

If x is more than or equal to 15, then x-11+1>15 indicates the value of x is greater than or equal to 13. None of the regions in the intersection are empty.

<h3>What is inequality?</h3>

When comparing two numbers, an inequality indicates whether one is less than, larger than, or not equal to the other.

We take into account the various variables of the inequality

|x – 1| + 1 > 15

Therefore

|-x-1|+1-1<15-1

|-x-1|-1 <14

13<x<15

The required region lies between the inequality -13 <x< 15.

Simplify the inequality Ix-11+1 > 15 we get,

|x-1|+1 > 15

|x+1| +1-1 >15-1

|x-1| > 14

x> 15

x<-13

If x has a value between -13 and x + 15, then the expression "|x-1|+1+115" is true. The range "(-13, 15)" contains the intersection of the region.

If "|x-1|+1>15" then either "x >15" or "x-13" applies to the value of x. This region's intersection is unoccupied.

Read more about inequalities

brainly.com/question/20383699

#SPJ1

7 0

1 year ago

Population 422 increasing by 10 people per year. Write an equation to determine the population (y) after any number of years (x)

Ronch [10]

Answer:

y = 10x + 422

Step-by-step explanation:

5 0

1 year ago

Riddle #2

zheka24 [161]

Answer:

28416

Step-by-step explanation:

No digits can be repeated

"All my digits are factors of 24" This means that the possible digits are: 1, 2, 3, 4, 6, 8

"The digits in my thousands place equals the perimeter of a 2x2 array" That would be 8

"The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands place" That would be 4, which also means that the ten thousands place is 2

"The digits in my tens place equal the number of lines of symmetry in an isoceles triangle" There is only 1 lines of symmetry

This means that we have 2841(?)

Because this number is even and no digits can be repeated, the only possible digits from those available is 6

Therefore the number is 28416

3 0

2 years ago