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3 years ago

Direct Variation.¯\_(ツ)_/¯

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

5 0

Answer:

y = 1/6

Step-by-step explanation:

direct variation

y =kx

substitute in what we know to find k

1/2 = k*3

solve for k

divide by 3

1/2 /3 = k

1/6 = k

substitute k into the direct variation equation

y = 1/6 x

let x = 1

y = 1/6 *1

y = 1/6

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3 of 3

Ad libitum [116K]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

iTones charges $10 per month, and $1 per song.

Music Mine charges $7 per month and $1.50 per song.

<u>To calculate the total cost for each option, we need to use the following formulas:</u>

iTones:

Total cost= 10 + 1x

x= number of songs

Music Mine:

Total cost= 7 + 1.5x

x= number of songs

4 0

3 years ago

Which answer choice correctly identifies the missing information in the problem? Joey and Kirk are in the 6th grade. Kirk is 5 f

user100 [1]

Answer:Kirk is taller than Joey by 8 inches

Step-by-step explanation:

Step 1

Kirk's height is given as =5 feet 4 inches tall.

Joey's height 4 feet 8 inches tall

Difference in height = 5 feet 4 inches

- 4 feet 8 inches

Step 2

Bear in mind that 12 inches = 1 feet . Now,8 cannot be subtracted from 4 , so we borrow 1 feet from 5feet, which is equivalent to 12 inches and add to inches so it becomes

4 feet (12+4)inches = 4 feet 16inches

- 4 feet 8 inches - 4 feet 8 inches

= 8 inches

Therefore Kirk is taller than Joey by 8 inches

4 0

2 years ago

Solve for x

Ivan

9514 1404 393

Answer:

x = 4

Step-by-step explanation:

The measures of all angles in this geometry are 90 degrees.

21x +6 = 90

21x = 84 . . . . . subtract 6

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

5 0

3 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

$y=-29x^2+1388x-10040$

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is $f(x)=ax^2+bx+c$ , then the vertex is

$Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)$

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

$y=-29x^2+1388x-10040$

Here, $a=-29,b=1388, c=-10040$ . Clearly, a<0. So, the vertex is the point of maxima.

$-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}$

$-\dfrac{b}{2a}=-\dfrac{1388}{-58}$

$-\dfrac{b}{2a}\approx 23.931$

Putting x=23.931 in the given equation, we get

$y=-29(23.931)^2+1388(23.931)-10040$

$y=-16608.09+33216.228-10040$

$y=6568.138$

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0

3 years ago

Anyone know how to do this?

IrinaVladis [17]

H(x) = x - 5

However, it had a domain of all real numbers such that x does not equal 3, since that would cause you to divide by 0.

7 0

2 years ago

Read 2 more answers