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Marta_Voda [28]
4 years ago
10

Line a: y = 2x + 3 Line b: y = -x Where will these two lines intersect?

Mathematics
1 answer:
bagirrra123 [75]4 years ago
5 0

There are different ways to solve this:

Substitution:

in the equation: y = 2x + 3 every time you see a y insert -x in its place. This will solve for the x of the intersect

-x = 2x + 3

(-x-2x) = (2x - 2x) + 3

\frac{-3x}{-3}  = \frac{3}{-3}

x = - 1

to solve for y incert x which is -1 into the equation y = 2x + 3

y = 2(-1) + 3

y = -2 + 3

y = 1

(-1,1)

 Hope this helped! Let me know if you want the other methods of solving this explained as well!

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x | y 1st difference 2nd difference

0 0 3 -0 = 3 7-3 = 4

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2 10 21 -10 =11 15 -11 = 4

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4 36 55-36= 19

5 55

2) Let's subtract the values of y this way:

3 -0 = 3

10 -3 = 7

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36 -21 = 15

55 -36 = 19

Now let's subtract the differences we've just found:

7 -3 = 4

11-7 = 4

15-11 = 4

19-15 = 4

So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.

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4 0
1 year ago
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Svetllana [295]

Answer:

Therefore after 3 years the height of these tree will be same.

Step-by-step explanation:

Given that,

Type A is 2 feet tall and grows at a rate of 17 inches.

Type B is 10 feet tall and is growing at a rate of 5 inches.

1 feet = 12 inches,

2 feet= (12×2) inches = 24 inches

5 feet= (12×5) inches = 60 inches

Let after t years, the height of these tree will be same.

After t years, the height of type A is =(24+17t)

After t years, the height of type B is =(60+5t)

According to the problem,

24+17t=60+5t

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⇒t = \frac{36}{12}

⇒t=3

Therefore after 3 years the height of these tree will be same.

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3 years ago
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Cost of 2 pounds of almonds = $ 21.98

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Answer:

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Step-by-step explanation:

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