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3 years ago

Which relation is a direct variation that contains the ordered pair (2, 7)?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

$y=\frac{7}{2}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a direct relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

step 1

Find the value of the constant of proportionality k

we have

the ordered pair (2, 7)

$k=\frac{y}{x}$ -----> $k=\frac{7}{2}$

therefore

The relation is

$y=kx$ -----> $y=\frac{7}{2}x$

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Fern rounded to the nearest ten to estimate 548-132. She subtracted 540-130 and got 410. Is Fern's estimate correct? Explain.

tensa zangetsu [6.8K]

Fern's estimate is not correct because he rounded 548 wrong, it would be rounded to 550 instead since the number 8 is closer to 10. So the correct answer would be 420.

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3 years ago

Which statement is true?

SVEN [57.7K]

Answer:

$y=log_{1} x$ is not a logarithmic function because the base is equal to 1.

Step-by-step explanation:

A logarithmic function is of the form: $y=log_{b}x$

For a logarithmic function to exist, we must fulfill certain conditions. The conditions are

i. The base, $b$ , is greater than 0. ${b>0)$

ii. The base, $b$ , is not equal to 1. $(b\ne 1)$

iii. $x$ must be greater than 0. $(x>0)$

Now, if we observe all the choices given, we conclude that the third choice is correct as the base there is 1. If base is equal to 1, then it violates the definition of logarithmic functions. So, the correct choice is:

$y=log_{1} x$ is not a logarithmic function because the base is equal to 1.

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3 years ago

Read 2 more answers

7/8m+9/10-2m-3/5<br> Combine like terms to create an equivalent expression.

stich3 [128]

Answer:

-1.123m+0.3

or in fraction form -9/8m+3/10

Step-by-step explanation:

first you subtract 7/8 from 2

then you subtract again 9/10 from 3/5

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3 years ago

Express the ratio 14 inches to 3 feet as a fraction in simplest form

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3 years ago

Which shows the graph of the solution set of 3y – 2x > –18?

nikdorinn [45]

Answer:

Graph of the inequality 3y-2x>-18 is given below.

Step-by-step explanation:

We are given the inequality, 3y-2x>-18

Now, using the 'Zero Test', which states that,

After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.

So, after substituting (0,0) in 3y-2x>-18, we get,

3\times 0-2\times 0>-18

i.e. 0 > -18, which is true.

Thus, the solution region is towards the origin.

Hence, the graph of the inequality 3y-2x>-18 is given below.

8 0

3 years ago