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timurjin [86]
2 years ago
5

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of t

he system is 3y = 2x – 9. Which could be the other equation?
Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

Answer:

The following could be the other equation

6y=4x-18

9y=6x-27

Step-by-step explanation:

For a system to have infinite number of solutions, the slopes and y-intercepts of the slope must be the same.

We have that one of the equations of the system is 3y = 2x – 9.

We generate another equation that has the same slope and y-intercept by just multiplying through by a non-zero constant.

Let us multiply by 2.

2(3y = 2x – 9)---->6y=4x-18

Or multiply through by 4 to get:

3(3y = 2x – 9)----->9y=6x-27

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Mary plants roseas in 1/4 of her garden. She also plants some tulips in her garden. She has 1/12 of the garden left to plant mor
zysi [14]

Answer:the fraction of Mary's garden that has tulips is 2/3

Step-by-step explanation:

Let x represent the full area if Mary's garden.

Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4

She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12

The portion of the garden on which she planted tulips would be

x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12

x - x/3 = (3x - x)/3 = 2x/3

Therefore, the fraction of Mary's garden that has tulips would be

(2x/3) /x = 2/3

7 0
3 years ago
Each of the following statements describes a quadrilateral. Which of the quadrilaterals are NOT parallelograms? Choose three.
Elina [12.6K]
1 st 2nd and 4th are NOT parallelograms.
4 0
3 years ago
Read 2 more answers
Solve the decimal division application round to the nearest 10th if needed there are approximately 39.37 inches in 1 m determine
Shtirlitz [24]

Answer:

  D.  1000 meters

Step-by-step explanation:

(39370 in)/(39.37 in/m) = (39.37×1000)/(39.37) m = 1000 m

3 0
3 years ago
For f(x) = x3 – x2, which gives an output of 48?<br> O f(-8)<br> O fl-4)<br> O f(4)<br> O f(8)
Misha Larkins [42]

Answer:

f(4)

Step-by-step explanation:

The output is the value of f(x) for a given value of x ( the input )

Substitute the given values of x into f(x) to determine the output, that is

f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48

f(- 4) = (- 4)³ - (- 4)² = - 64 - 16 = - 80 ≠ 48

f(4) = 4³ - 4² = 64 - 16 = 48

Thus f(4) gives an output of 48

4 0
2 years ago
Read 2 more answers
I am confusion, can someone help me?
Genrish500 [490]
450 >_ 750 - 70x

450 >_ 750 - 70x
(subtract 750 on both sides)
-300 >_ -70x
(divide by -70 to get x alone, then flip the inequality sign)
4 2/7 <_ x
(round up to 5, you can’t have 2/7 of a person)

at least 5 people have to get off

hope this helped!
3 0
2 years ago
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