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vesna_86 [32]
3 years ago
8

What solution is y = 2x + 2 y = -2x + 4 ?

Mathematics
1 answer:
brilliants [131]3 years ago
6 0

Answer:

x = \frac{1}{2} , y = 3

Step-by-step explanation:

y = 2x + 2 → (1)

y = - 2x + 4 → (2)

Substitute y = 2x + 2 into (2)

2x + 2 = - 2x + 4 ( add 2x to both sides )

4x + 2 = 4 ( subtract 2 from both sides )

4x = 2 ( divide both sides by 4 )

x = \frac{2}{4} = \frac{1}{2}

Substitute this value into (1) for value of y

y = 2(\frac{1}{2} ) + 2 = 1 + 2 = 3

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2 years ago
The sum of four consecutive integers is 386. What is the fourth integer?
Licemer1 [7]

The 4 consecutive integers are 95, 96, 97 and 98.

The fourth integer is 98.

<u>Step-by-step explanation:</u>

Let us consider the 4 consecutive integers to be 'x' , 'x+1' , 'x + 2' , 'x + 3'  

The sum of the 4 consecutive integers= 386

x + (x+1) + (x+2) + (x+3) = 386

4x + 6 = 386

4x = 380

x = 380/4

x = 95

x+1 = 96

x+2 = 97

x+3= 98

The 4 consecutive integers are 95, 96, 97 and 98.

The fourth integer is 98.

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4 years ago
0.00147 in standard form
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Step-by-step explanation:

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7 0
3 years ago
What is the minimum point of the graph???
Natasha2012 [34]

Answer:

(-2,1)

Step-by-step explanation:

Since this is an upwards opening parabola, the minimum point is at the vertex

We can find the x coordinate of the vertex by

y = 2x^2 +8x +9

where a=2  b =8 and c =9

x = -b/2a

x = -8/(2*2)

  = -8/4 = -2

The x coordinate is -2

Now substitute this in to find the y coordinate

y = 2(-2)^2 +8(-2)+9

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  8-16+9

  =1

The vertex = (-2,1), which is the minimum point

8 0
4 years ago
Read 2 more answers
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