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3 years ago

If y varies directly as x, and y is 12 when x is 1.2, what is the constant of variation for this relation?

Mathematics

2 answers:

laila [671]3 years ago

6 0

If you multiply 12 by 0.1, you get 1.2. To write this as a function you would say y is x multiplied by 0.1.
y=0.1x

Andrej [43]3 years ago

5 0

Answer:

B. 10

Step-by-step explanation:

y = k x

12 = k 1.2

k = 12/1.2

k = 10

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Fifteen more than four times a number is equal to the difference between 191 and four times the number. Find the number.

Semenov [28]

Answer:

The number would be 22.

Step-by-step explanation:

In order to solve for the number, we need to make both statements into numerical statements.

Fifteen more than four times a number = 15 + 4x

difference between 191 and four times the number = 191 - 4x

Now we set them equal to each other.

15 + 4x = 191 - 4x -----> Add 4x to each side

15 + 8x = 191 ------> Subtract 15 from both sides

8x = 176 -------> Divide by 8

x = 22

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3 years ago

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katrin [286]

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3 years ago

21.

jasenka [17]

Answer:

b = y intercept

Step-by-step explanation:

y = mx +b

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3 years ago

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Kazeer [188]

Answer:

You need to have a minimum of 16 inches of clearance.

Step-by-step explanation:

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3 years ago

What is the slope of the graph?

VMariaS [17]

<u>Given</u>:

Given that an aquarium is being filled with water.

The given graph shows the height of the water over time as the aquarium is being filled.

We need to determine the slope of the graph.

<u>Slope</u>:

The slope of the given graph can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)

Substituting these points in the above formula, we get;

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Simplifying, we get;

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