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earnstyle [38]
3 years ago
7

Solve the system of equations y=x^2+3x-4 and y=2x-4

Mathematics
1 answer:
laila [671]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 4 → (1)

y = 2x - 4 → (2)

Substitute y = x² + 3x - 4 into (2)

x² + 3x - 4 = 2x - 4 ( subtract 2x - 4 from both sides )

x² + x = 0 ← in standard form

x(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 → y = 2(0) - 4 = 0 - 4 = - 4 ⇒ (0, - 4 )

x = - 1 → y = 2(- 1) - 4 = - 2 - 4 = - 6 ⇒ (- 1, - 6 )

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mash [69]

Answer:

The correct answer is first option

24

Step-by-step explanation:

From the figure we get, mAXM = 72° and  m<AMR = 38°

Also it is given that, all triangles are isosceles triangles and

m<FXA = 96°

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From the figure we get,

m<FXA =  m<AXM + m<FXM

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Therefore the  correct answer is first option

24

4 0
3 years ago
the perimeter of a rectangle is 68ft the ratio of the length to the width iss 9:8 what are the dimensions of the rectangle
NikAS [45]

Answer:


Step-by-step explanation:

2 * L + 2 * W = 68  

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4 0
3 years ago
2 Are 3(x – 4) – 2(2.5x - 1) and -2(x + 5) equivalent expressions?
Bogdan [553]

Answer:

<u>Equivalent expressions</u>

Step-by-step explanation:

3(x – 4) – 2(2.5x - 1)

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and -2(x + 5)

<u>-2x - 10</u>

<u></u>

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8 0
2 years ago
Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should
sergeinik [125]

Answer:

36

Step-by-step explanation:

Take 504 ounces of that lemonade and divide that into 14 cups.

And you get 36 ounces for each cup.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

4 0
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