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3 years ago

Which graph shows a proportional relationship ?

Mathematics

1 answer:

morpeh [17]3 years ago

4 0

It's graph A because it going threw the and has a pattern.

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Which system of linear inequalities is represented by the graph x+5y>5 y<2x+4

grandymaker [24]

Answer:

The lines represent the inequalities .

Further explanation:

The linear equation with slope m and intercept c is given as follows.

The formula for slope of line with points and can be expressed as,

Given:

The inequalities are as follows.

a. x – 5y < –5 and y < –2x – 4

b. x + 5y > 5 and y < 2x + 4

c. x – 5y < –5 and y < –2x + 4

d. x + 5y > 5 and y < 2x – 4

Step-by-step explanation:

The blue line intersects y-axis at , therefore the y-intercept is 4.

The blue line intersect the points that are and .

The slope of the line can be obtained as follows.

The slope of the line is m = 2.

Now check whether the inequality included origin or not.

Substitute in equation y=x+1.

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the blue line is y < 2x + 4.

The orange line intersects y-axis at , therefore the y-intercept is 1.

The orange line intersect the points that are and .

The slope of the line can be obtained as follows.

The slope of the line is m = .

Now check whether the inequality included origin or not.

Substitute in equation y > .

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the orange line is y > .

Solve the equation y > .

The equation of orange line is 5y + x > 5.

Option (a) is not correct as it satisfy the inequalities of the graph.

Option (b) is correct as it satisfy the inequalities of the graph.

Option (c) is not correct as it satisfy the inequalities of the graph.

Option (d) is is not correct as it satisfy the inequalities of the graph.

Hence, is correct.

7 0

3 years ago

Read 2 more answers

Use the line of best fit to predict the percentage sales increase when the

agasfer [191]

Answer:

107%

Step-by-step explanation:

because if we look at the x-axis, Discount (%)

and look at 35 which is between 30 and 40

and start going up we get near 100

107%

or?

we use the two points and with that we find the slope first

$\frac{y2-y1}{x2-x1}$

plug in (20,62) and (10,32)

$\frac{32-62}{10-20}$

equals

$\frac{-30}{-10}$

simplify to 3

then we use

y - y1 = m (x - x1)

y - 62 = 3 (x - 20)

y - 62 = 3x - 60

add 60 from both sides

y - 2 = 3x

add 2 to both sides

y=3x+2

then plug in 35

y= 3(35) + 2

which is

107

6 0

3 years ago

Read 2 more answers

8. Solve X=Students & Y=Teachers X+Y=24 X=3Y

Len [333]

Answer:

x=18, y= 6

Step-by-step explanation:

if x+y=24

x= 24- y

in second case

x= 3y

24_ y = 3y

24=4y

y= 6

hence x = 24 _6 = 18

5 0

3 years ago

Graph: y – 3 = } (x + 2)

Natalija [7]

Answer:x2 355b. Hhgguyuy

Step-by-step explanation:

7 0

3 years ago

The difference of six times a number and 7 is -49

gtnhenbr [62]

Greetings!

"The difference of six times a number and 7 is -49"...

In number and variables, this would be:
 $6x-7=-49
$

Add 7 to both sides.
 $(6x-7)+7=(-49)+7$
Simplify.
 $6x=-42$
Divide both sides by 6.
$(6x)/6=(-42)/6$
Simplify.
$x=-7$

Hope this helps.
-Benjamin

5 0

4 years ago