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

Answers

Answer 1

Answer: Choices:
y=4x-1
y=2/7x
y=7/2x
y=7/x

(2,7) ⇒ x = 2 ; y = 7
y = 4x - 1 ⇒ y = 4(2) - 1 ; y = 8 - 1 ; y = 7
y = 2/7x ⇒ y = 2/7(2) ; y = 2/14 ; y = 1/7
y = 7/2x ⇒ y = 7/2(2) ; y = 7/4 ; y = 1 3/4
y = 7/x ⇒ y = 7/2 ; y = 3 1/2

Among the choices, only y = 4x - 1 is the direct variation that contains the ordered pair (2,7)

Answer 2

Answer:

The direct relation that is a direct variation that contains the ordered pair (2, 7) is; y = (7/2)x

How too work with direct variation?

Given ordered pair is (2, 7)

We know that y = kx is valid for every direct relationship,

Determine k using the y and x, since k = y/x

k = 7/2

k = 3.5

Put the value for k in y = kx and you have y = 3.5x.

Therefore, the direct relation that is a direct variation that contains the ordered pair (2, 7) is y = (7/2)x

Read more about Direct Variation at; brainly.com/question/6499629

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What is the rate of change of y with respect to x in 2x - 3y = 6?

Answers

$2x-3y=6\n \n 3y=2x-6\n \n \frac { 1 }{ 3 } \cdot 3y=\frac { 1 }{ 3 } \left( 2x-6 \right) \n \n y=\frac { 2 }{ 3 } x-\frac { 6 }{ 3 } \n \n y=\frac { 2 }{ 3 } x-2\n \n \therefore \quad \frac { dy }{ dx } =\frac { 2 }{ 3 }$

This is because:

$y=k{ x }^( n )\n \n \frac { dy }{ dx } =kn{ x }^( n-1 )$

And also because when you differentiate a constant (i.e the number 2), what you always get is the value 0.

Y = x² + x + 8 find 1st and 2nd derivitive

Answers

Answer:

y' = 2x + 1

y'' = 2

Step-by-step explanation:

y = x² + x + 8

y' = 2x + 1

y'' = 2

Find the unknown length. Round to the nearest tenth if necessary.

Answers

Answer:

a = 7.4

Step-by-step explanation:

Since this is a right triangle, we will use the Pythagorean theorem:

c^2 = a^2 + b^2

28^2 = a^2 + 27^2

784 = a^2 + 729

55 = a^2

a = 7.4

Answer:

55 i believe

28 + 27 = 55

The slope of a line is and the point (-6, 11) lies on the line. What is the equation of the line in slope-intercept form?

Answers

Answer:

Answer: y = 1/2x + 14

Step-by-step explanation:

he equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We know that the slope of the line is 1/2, and we know that the point (-6, 11) lies on the line. We can use this information to solve for b.

Substituting (-6, 11) into the equation y = 1/2x + b, we get:

11 = 1/2(-6) + b

11 = -3 + b

b = 11 + 3

b = 14

Therefore, the equation of the line in slope-intercept form is y = 1/2x + 14.

Answer: y = 1/2x + 14

Def and feg are supplementary .m

Answers

I think you posted this on accident

On the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the equations given below, where xequals0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the future, in what year will the median income of men and women be the same?Men: -255x+2y=56,937Women: - 842x+3y=42,751