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VARVARA [1.3K]
3 years ago
6

The system of equations graphed below has how many solutions ?

Mathematics
2 answers:
Aleks [24]3 years ago
6 0

Answer:

Option A. 0 solutions.

Step-by-step explanation:

The system of equations graphed has two equations.

y=-\frac{3}{2}x+5

and y=-\frac{3}{2}-3

Here equation 1 and 2 both have the same slope = -3/2

Therefore these lines are parallel.

Since parallel lines never meet at a point so the solutions of this systems of the equations will be zero.

Option A. 0 is the correct option.

amm18123 years ago
4 0
Their parallel so never
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A candle has been burning for 20 min and is now 25 cm tall. In an hour it will be 10 cm tall. Which equation models the height y
stiv31 [10]

Answer:

(y - 25) = - 0.25(x - 20)

Step-by-step explanation:

Given that :

Height of candle after burning for 20 minutes = 25 cm

Height after burning for 1 hr (60 minutes) = 10 cm

Height (y) in cm of candle x minutes after being lit:

Using the equation :

(y - y1) = m(x - x1)

m = (change in y / change in x)

Change in height within 60 minutes :

Height at 20 minutes = 25cm

Height after an hour = 10

Change in height per hour = (25 - 10) = 15cm

Hence, m = change in height per minute

15cm / 60 = 0.25cm ( - 0.25) (decrease in height)

y1 = 25 ; x1 = 20

(y - y1) = m(x - x1)

(y - 25) = - 0.25(x - 20)

4 0
2 years ago
A football field is 300 feet long. A sloth moving very quickly travels 60 feet every 5 minutes. Based on this ratio, how many mi
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25 minutes.

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side note: there’s probably a simpler way to explain this
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Ben sells greeting cards for $5 each in his online store. He also charges $1.99 for shipping. The total cost, y, of an order fro
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7 0
3 years ago
6. A rectangle and a parallelogram have the same base and the same height. How are their areas
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the height

Step-by-step explanation:

4 0
3 years ago
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Which line represents the linear equation
zzz [600]

Answer:

Pat a) The graph in the attached figure

Part b)  y=(4/3)x-5

The slope is  m=(4/3)

The y-coordinate of the y-intercept is  b=-5

Step-by-step explanation:

Part a) Which line represents the linear equation -3y=15-4x?

To graph the linear equation find the intercepts

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

-3y=15-4(0)

-3y=15

y=-5

The y-intercept is the point (0,-5)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

-3(0)=15-4x

4x=15

x=15/4=3.75

The x-intercept is the point (3.75,0)

Plot the intercepts to graph the linear equation

see the attached figure

Part b) Rewritten in slope-intercept form

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

we have

-3y=15-4x

convert to slope intercept form

isolate the variable y

3y=4x-15

y=(4/3)x-5

The slope is  m=(4/3)

The y-coordinate of the y-intercept is  b=-5

4 0
2 years ago
Read 2 more answers
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