Mathematics : asked on crystaldewar55C

22.05.2022

Choose the equation that satisfies the data in the table.

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09.07.2023, solved by verified expert

Mathematics, DAV Post Graduate College

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Option A.

Step-by-step explanation:

Demonstration

for x = -4

for x= 0

for x= 4

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Mathematics

Choose the equation that satisfies the data in the table

Step-by-step answer

P Answered by Specialist

Choice D.

y = - x - 8

Mathematics

Choose the equation that satisfies the data in the table.

Step-by-step answer

P Answered by PhD

$y=-4\,x-4$ which agrees with answer "A" in the list of possible options

Step-by-step explanation:

From the fact that there is a steady rate of increase in the x and in the respective y values (notice that x increases in steps of 1 unit, and at the same time y values increase in steps of "-4" units) the data belongs to the equation of a line.

We can determine that equation using just two pairs of points, like for example (-1, 0) and (0, -4).

We first find the slope using the slope formula for the segment that joints any two points on the plane:

$slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{-4-0}{0-(-1)}\\slope = -4$

we now write the slope-intercept general form of a line with slope "-4", and solve for the intercept by using the point (0,-4) which should be in the line:

$y=m\.x+b\\y=-4\,x+b\\-4=-4\,(0)+b\\b=-4$

Therefore the equation for this points is:

$y=-4\,x-4$

Mathematics

Choose the equation that satisfies the data in the table. x. -6. 0. 6 y. 0. 9. 18 a. y=2/3x+6 b. y=−2/3x+6 c. y=3/2x+9 d. y=−3/2x+9

Step-by-step answer

P Answered by PhD

2

The general equation of a linear data is y = mx + c , where m is the slope, and c is the y intercept. The equation that satisfies the data is: $y =\frac{3}{2}x +9$

Given:

$x \to -6\ |\ 0\ |\ 6$

$y \to 0\ |\ 9\ |\ 18$

First, we calculate the slope (m)

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

So, we have:

$m = \frac{9-0}{0--6}$

$m = \frac{9}{6}$

Simplify

$m = \frac{3}{2}$

The equation of the table is then calculated using:

y = m(x - x_1) + y_1

This gives:

$y =\frac{3}{2}(x - -6) + 0$

$y =\frac{3}{2}(x +6)$

Open bracket

$y =\frac{3}{2}x +9$

Hence, the equation that satisfies the data is: $y =\frac{3}{2}x +9$

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Mathematics

Choose the equation that satisfies the data in the table

Step-by-step answer

P Answered by Specialist

Choice D.

y = - x - 8

Mathematics

Choose the equation that satisfies the data in the table. x. -6. 0. 6 y. 0. 9. 18 a. y=2/3x+6 b. y=−2/3x+6 c. y=3/2x+9 d. y=−3/2x+9

Step-by-step answer

P Answered by PhD

2

The general equation of a linear data is y = mx + c , where m is the slope, and c is the y intercept. The equation that satisfies the data is: $y =\frac{3}{2}x +9$

Given:

$x \to -6\ |\ 0\ |\ 6$

$y \to 0\ |\ 9\ |\ 18$

First, we calculate the slope (m)

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

So, we have:

$m = \frac{9-0}{0--6}$

$m = \frac{9}{6}$

Simplify

$m = \frac{3}{2}$

The equation of the table is then calculated using:

y = m(x - x_1) + y_1

This gives:

$y =\frac{3}{2}(x - -6) + 0$

$y =\frac{3}{2}(x +6)$

Open bracket

$y =\frac{3}{2}x +9$

Hence, the equation that satisfies the data is: $y =\frac{3}{2}x +9$

Read more about equation at:

link

Mathematics

Choose the equation that satisfies the data in the table.

Step-by-step answer

P Answered by Master

Option A.

Step-by-step explanation:

Demonstration

$y=\frac{7}{4} x+7$

for x = -4

$y=\frac{7}{4} (-4)+7=-\frac{28}{4} +7=-7+7=0$

for x= 0

$y=\frac{7}{4}(0) +7=0+7=7$

for x= 4

$y=\frac{7}{4} (4)+7=\frac{28}{4} +7=7+7=14$

Hope this helps

Mathematics

Choose the equation that satisfies the data in the table.

Step-by-step answer

P Answered by PhD

$y=-4\,x-4$ which agrees with answer "A" in the list of possible options

Step-by-step explanation:

From the fact that there is a steady rate of increase in the x and in the respective y values (notice that x increases in steps of 1 unit, and at the same time y values increase in steps of "-4" units) the data belongs to the equation of a line.

We can determine that equation using just two pairs of points, like for example (-1, 0) and (0, -4).

We first find the slope using the slope formula for the segment that joints any two points on the plane:

$slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{-4-0}{0-(-1)}\\slope = -4$

we now write the slope-intercept general form of a line with slope "-4", and solve for the intercept by using the point (0,-4) which should be in the line:

$y=m\.x+b\\y=-4\,x+b\\-4=-4\,(0)+b\\b=-4$

Therefore the equation for this points is:

$y=-4\,x-4$

Mathematics

The school system is trying to their students be more successful. they are going to hire tutors to . they must have more teachers than tutors. the maximum number of teachers and tutors to be hired is 50. how many tutors and how many teachers can they hire? let x = number of teachers hired. let y = number of tutors hired. a. write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired. b. write an inequality that represents the statement that the maximum number of teachers and tutors

Step-by-step answer

P Answered by Master

x+y<or equal to 50

x>y

when x=30 then y=18

Step-by-step explanation:

a.the x>y cause 30>18

and x+y=30+18=48<50

Mathematics

The school system is trying to their students be more successful. they are going to hire tutors to . they must have more teachers than tutors. the maximum number of teachers and tutors to be hired is 50. how many tutors and how many teachers can they hire? let x = number of teachers hired. let y = number of tutors hired. a. write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired. b. write an inequality that represents the statement that the maximum number of teachers and tutors

Step-by-step answer

P Answered by Specialist

x+y<or equal to 50

x>y

when x=30 then y=18

Step-by-step explanation:

a.the x>y cause 30>18

and x+y=30+18=48<50

Mathematics

The school system is trying to their students be more successful. they are going to hire tutors to . they must have more teachers than tutors. the maximum number of teachers and tutors to be hired is 50. how many tutors and how many teachers can they hire? let x = number of teachers hired. let y = number of tutors hired. a. write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired. (2 points) b. write an inequality that represents the statement that the maximum number of teachers

Step-by-step answer

P Answered by PhD

a. x-y 0

b. $x+y \leq 50$

c. x=26; y=24 or (24,26)

Step-by-step explanation:

Let x = number of teachers hired.

Let y = number of tutors hired.

Now solving for part a we get

a. Write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired.

x-y 0

solving for part b we get;

b. Write an inequality that represents the statement that the maximum number of teachers and tutors is 50.

$x+y \leq 50$

solving for part c we get;

c. Choose a point that satisfies the situation, and explain why you chose that number of tutors and teachers.

Now we know that x-y 0 also $x+y \leq 50$

x=26; y=24

(24,26)

Explanation: To make number of teacher more than number of tutors this is the maximum value we can achieve for the requirement.

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