Mathematics: What do the following two equations represent? y=3/4x-2 and y+2=4/3(x-2)

What do the following two equations represent?, №10049694, 13.01.2020 10:25

Mathematics

Algebra 1a unit 6 lesson 6 1. write an equation in slope-intercept form of the line rhat passes through the given point and is parallele to the graph of the equation (2,-2); y=-x-2 2. (2,-1); y=-3/2x+6 3. (4,2); x=-3 4. (-2,3); y=1/2x-1 5. (5,0); y+1=2(x-3) 6. determine whether the graphs of the given equations are parellel, perpendicular, or neither y=x+11 y=-x+2 7. y=-2x+3 y=2x+y=7 8. y=4x-2 -x+4y=0 9. determine whether the statement is always, sometimes or never true two lines with positive slopes are parellel 10. two lines with the same slope

Step-by-step answer

P Answered by PhD

21

1. y = -x - 2...slope here is -1. A parallel line will have the same slope

y = mx + b
slope(m) = -1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = -1(2) + b
-2 = -2 + b
-2 + 2 = b
0 = b

so ur parallel equation is : y = -x

2. -1 = -3/2(2) + b
-1 = -3 + b
-1 + 3 = b
2 = b
parallel equation is : y = -3/2x + 2

3. parallel equation is : x = 4

4. 3 = 1/2(-2) + b
3 = -1 + b
3 + 1 = b
4 = b
parallel equation is : y = 1/2x + 4

5. y + 0 = 2(x - 5)
y = 2x - 10 <== parallel line

6. neither

7. if ur second equation is : 2x + y = 7, then the lines are parallel

8. neither

9. sometimes

10. never

Mathematics

Algebra 1a unit 6 lesson 6 1. write an equation in slope-intercept form of the line rhat passes through the given point and is parallele to the graph of the equation (2,-2); y=-x-2 2. (2,-1); y=-3/2x+6 3. (4,2); x=-3 4. (-2,3); y=1/2x-1 5. (5,0); y+1=2(x-3) 6. determine whether the graphs of the given equations are parellel, perpendicular, or neither y=x+11 y=-x+2 7. y=-2x+3 y=2x+y=7 8. y=4x-2 -x+4y=0 9. determine whether the statement is always, sometimes or never true two lines with positive slopes are parellel 10. two lines with the same slope

Step-by-step answer

P Answered by PhD

21

1. y = -x - 2...slope here is -1. A parallel line will have the same slope

y = mx + b
slope(m) = -1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = -1(2) + b
-2 = -2 + b
-2 + 2 = b
0 = b

so ur parallel equation is : y = -x

2. -1 = -3/2(2) + b
-1 = -3 + b
-1 + 3 = b
2 = b
parallel equation is : y = -3/2x + 2

3. parallel equation is : x = 4

4. 3 = 1/2(-2) + b
3 = -1 + b
3 + 1 = b
4 = b
parallel equation is : y = 1/2x + 4

5. y + 0 = 2(x - 5)
y = 2x - 10 <== parallel line

6. neither

7. if ur second equation is : 2x + y = 7, then the lines are parallel

8. neither

9. sometimes

10. never

Mathematics

Determine wether the graphs of the given equations are parallel, perpindicular, or neither. 1) y=-2x+3 2x+y=7 a - parallel b - perpendicular c - neither 2) y=4x-2 -x+4y=0 a - parallel b - perpendicular c - neither 3) two lines with positive slopes are parallel. a - always b - sometkmes c - never 4) two lines with the same slope and different y-intercepts are perpendicular. a - always b - sometimes c - never

Step-by-step answer

P Answered by Specialist

5

I wrote answers in picture and I use Desmos app to solve this equations
Determine wether the graphs of the given equations are parallel, perpindicular, or neither. 1) y=-2x

Mathematics

Determine wether the graphs of the given equations are parallel, perpindicular, or neither. 1) y=-2x+3 2x+y=7 a - parallel b - perpendicular c - neither 2) y=4x-2 -x+4y=0 a - parallel b - perpendicular c - neither 3) two lines with positive slopes are parallel. a - always b - sometkmes c - never 4) two lines with the same slope and different y-intercepts are perpendicular. a - always b - sometimes c - never

Step-by-step answer

P Answered by Specialist

5

I wrote answers in picture and I use Desmos app to solve this equations
Determine wether the graphs of the given equations are parallel, perpindicular, or neither. 1) y=-2x

Mathematics

Can anyone me with with these two math problems? they are the only ones i can’t figure out. what is the quadratic regression equation for the data set? 6/100, 3/110, 10/50, 3/90, 5/120, 15/30, and 9/70a. y = -0.175x^2 + 3.786x - 121.119b. y = -0.175x^2 - 3.786x - 121.119c. y = -0.175x^2 + 3.786x + 121.119d. y = -0.175x^2 - 3.786x + 121.119what is the linear function equation that best fits the data set? (see comments for graph)a. y= 2x-2b. y= 4x-11c. y= 4x-2d. y=x-2

Step-by-step answer

P Answered by PhD

15

D. Y = -0.175x^2 - 3.786x + 121.119A. Y= 2x-2

Step-by-step explanation:

1. The data generally goes down to the right, so the peak of the curve will be to the left of the y-axis. That means the x-coefficient will have the same sign as the x^2 coefficient (negative). The values near the y-axis are large positive values, so the y-intercept is positive. The equation with these characteristics is the last one:

... D. Y = -0.175x^2 - 3.786x + 121.119

___

You can have your calculator or spreadsheet program write the regression equation for you. It will give you substantially the same result. (see the attachment)

______

2. For estimating a regression line through data of this sort, it often works well to use the extreme data points: (1.5, 1) and (7.5, 13). If you draw a line through these points, you find that it passes through several other points on the graph, and it has a negative y-intercept. The slope of the line is ...

... (change in y)/(change in x) = (13 -1)/(7.5 -1.5) = 12/6 = 2

Only one of your answer choices has a slope of 2:

... A. Y = 2x-2

Mathematics

Can anyone me with with these two math problems? they are the only ones i can’t figure out. what is the quadratic regression equation for the data set? 6/100, 3/110, 10/50, 3/90, 5/120, 15/30, and 9/70a. y = -0.175x^2 + 3.786x - 121.119b. y = -0.175x^2 - 3.786x - 121.119c. y = -0.175x^2 + 3.786x + 121.119d. y = -0.175x^2 - 3.786x + 121.119what is the linear function equation that best fits the data set? (see comments for graph)a. y= 2x-2b. y= 4x-11c. y= 4x-2d. y=x-2

Step-by-step answer

P Answered by PhD

15

D. Y = -0.175x^2 - 3.786x + 121.119A. Y= 2x-2

Step-by-step explanation:

1. The data generally goes down to the right, so the peak of the curve will be to the left of the y-axis. That means the x-coefficient will have the same sign as the x^2 coefficient (negative). The values near the y-axis are large positive values, so the y-intercept is positive. The equation with these characteristics is the last one:

... D. Y = -0.175x^2 - 3.786x + 121.119

___

You can have your calculator or spreadsheet program write the regression equation for you. It will give you substantially the same result. (see the attachment)

______

2. For estimating a regression line through data of this sort, it often works well to use the extreme data points: (1.5, 1) and (7.5, 13). If you draw a line through these points, you find that it passes through several other points on the graph, and it has a negative y-intercept. The slope of the line is ...

... (change in y)/(change in x) = (13 -1)/(7.5 -1.5) = 12/6 = 2

Only one of your answer choices has a slope of 2:

... A. Y = 2x-2

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

Step-by-step answer

P Answered by PhD

The answer is in the image