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vlabodo [156]
3 years ago
14

How many solutions does the system have?

Mathematics
1 answer:
nevsk [136]3 years ago
3 0

Answer:

The system has two solution

Step-by-step explanation:

we have

y=-2x+2 ----> equation A

y=x^{2}-3x ----> equation B

Solve the system of equations by graphing

Remember that

The solution of the system of equations is the intersection point both graphs

There are two point of intersection between the two graphs

see the attached figure

therefore

The system has two solution

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Fill in the blank with the correct number.
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Alex787 [66]

Answer:

9

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9-3÷1/3+1

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4 0
2 years ago
Newberg City Cafe recently introduced a new flavor of coffee. They served 23 grande cups and 51 jumbo cups of the new coffee tod
yuradex [85]

Answer:

Grand coffee cup = 1469 gm

Jumbo coffee cup = 60 gm

Step-by-step explanation:

Let x be the grande coffee cup and y be the jumbo coffee cup.

Solution:

From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.

So, the equation is.

23x+51y = 36846 ---------(1)

From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.

58x+68y=59460 ----------(2)

Solve the equation 1 for x.

23x = 36846-51y

x=\frac{36846}{23}-\frac{51}{23}y

x=1602-\frac{51}{23}y ---------(3)

Substitute x=1602-\frac{51}{23}y in equation 2.

58(1602-\frac{51}{23}y)+68y=59460

92916-\frac{51\times 58}{23}y+68y=59460

-\frac{2958}{23}y+68y=59460-92916

\frac{-2958+1564}{23}y=-33456  

\frac{-1394}{23}y=-33456

Using cross multiplication.

y=\frac{-23\times 33456}{-1394}

y = 55.99

y ≅ 60 gram

Substitute y = 60 in equation 3.

x=1602-\frac{51}{23}\times 60

x=1602-\frac{3060}{23}

x=1602-133.04

x = 1469 grams

Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm

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2 years ago
Ayo answer this question with the stupidest thing you could think of?<br> Brainlest :0
Mrac [35]

What what what what what what

7 0
3 years ago
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