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Ket [755]
3 years ago
6

Solve the system of equations: y=x^2+3x-6 y=2x-6

Mathematics
2 answers:
alexira [117]3 years ago
5 0
<h3>Hey .... </h3>

here's your answer in the given attachment

san4es73 [151]3 years ago
5 0

Answer:

Solution: {(-1,-8), (0,-6)}

Step-by-step explanation:

y=x^2+3x-6 ............(1)

y=2x-6 ....................(2)

Solution:

by comparison, the right-hand sides of both equations are equal (to y)

x^2+3x-6 = 2x - 6

Transpose and simplify

x^2 -x = 0

x = -1 or x=0

Substitute  x = -1 in (2)

y = 2(-1) -6 = -8  ..............(-1,-8)

substitute x = 0 in (2)

y = 2(0) -6 = -6 ...............(0,-6)

So there are two solutions, corresponding to the intersection of the quadratic and the straight line.

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In a bag of oranges, the ratio of the good ones to the bad ones is 5:4. If the number of bad ones in the bag is 36, how many ora
Advocard [28]

5x - good ones

4x - bad ones

4x=36\\&#10;x=9\\\\&#10;5x=5\cdot9=45\\\\&#10;45+36=81

<u>81</u>

5 0
2 years ago
Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each pie
erastovalidia [21]

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = \frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5}  = \frac{1 }{12} yd

This means that the length of each piece of cloth is (1/12) of a yard long.

5 0
3 years ago
50 Points mark brainly, Which system of equations is satisfied by the solution shown in the graph?
alexira [117]
The answer is the 4th option, 
x+y=6 and x-y= -10
7 0
3 years ago
Tyra has 12 2/3 cups of sugar. If r is the amount of sugar called for in one batch of cookies, the expression 12 2/3 ÷ r can be
faust18 [17]

Answer:

13 batches of cookies

Step-by-step explanation:

12 2/3 ÷ 2/3 = 12.6666667, it's 13 because 2/3 as a decimal is .6666666 and .6666667 is more than 2/3. So you add one to the answer.

4 0
2 years ago
Read 2 more answers
Solve the system of equations.<br> 57 - 10x = 45<br> -<br> - 3y + 10x = -5
masha68 [24]

Answer: Step-by-step explanation:

57 - 10x = 45

-10x=-12

x=1.2

- 3y + 10x = -5

-3y+10=-5

-3y=-15

y=5

7 0
2 years ago
Read 2 more answers
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