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SSSSS [86.1K]
3 years ago
7

An employee earns $175 for 15 hours work. Find the constant of variation.

Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:

11.67

Step-by-step explanation:

Given: Employee earn $175 for 15 hours

We know, the constant of variation means the rate of change.

To know The constant of variation, we need to find how much employee earn each hour.

∴ Constant of variation= \frac{Total\ earning}{Total\ working\ hours}

Constant of variation= \frac{175}{15}= 11.666

∴ Constant of variation= 11.67. (rounding off)

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Find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y= -2x + 2
mylen [45]

Answer:

y = 1/2x + 1

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

6 0
3 years ago
The top of a mountain is 2,450 feet above sea level a shipwreck was discover 310 feet below sea level what is the distance betwe
arlik [135]

Answer:

d=2,760\ ft

Step-by-step explanation:

Let

x ----> the height of the top of a mountain above sea level

y ----> the deep of a shipwreck below the sea level

we know that

The sea level represent the height equal to zero

In this problem we have

x=2,450\ ft ---> is positive because is above sea level

y=-310\ ft ---> is negative because is below sea level

To find out the distance between the mountain top and the ship wreck, determine the absolute value of the difference between the two values

d=\left|x-y\right|

substitute the values

d=\left|2,450-(-310)\right|

d=\left|2,450+310\right|

d=\left|2,760\right|

d=2,760\ ft

5 0
3 years ago
An umbrella sprinkler is positioned on a ceiling at a point whose x- coordinate is 0. Negative values of a indicate distances, i
vodka [1.7K]

Answer:

-1/4x² + 3

Step-by-step explanation:

Given that:

Path of sprinkler is modeled by the quadratic function :

w(x) = -1/4(x^2 -12 )

w(x) = height of the water, in meters, at position x

The height of ceiling as a constant or Coefficient = w(x)

Expanding w(x)

-1/4(x^2 -12 )

-1/4 * x² + 1/4 * 12

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The height of ceiling is -1/4x² + 3

8 0
3 years ago
Which table represents a linear function?<br> Please hurry I have to finish this soon!
denis23 [38]

Answer:

C

Step-by-step explanation:

A linear function is the repeating of the same word. Therefore, C would be the correct option. Due to the order 3 9 3 9, this is a linear function. This is just the most logical answer. Please let me know if I am wrong. Sorry if I am :(

6 0
2 years ago
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A telephone company offers a monthly cellular phone plan for $ 39.99 It includes 300 anytime minutes plus $ 0.25 per minute for
Nataly [62]
A. 39.99 
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c. 39.99 + 0.25(1) = 40.24
3 0
3 years ago
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