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lisabon 2012 [21]
2 years ago
12

Determine the vertex form of g(x) = x^2 + 2x – 1. Which graph represents g(x)?

Mathematics
1 answer:
nataly862011 [7]2 years ago
3 0

Answer:

Graph D

Step-by-step explanation:

Move the constant to the opposite side of the equation and group terms that include the same variable.

g(x) + 1 = x^2 + 2x

Finish the square. Remember to keep the equation balanced by using the same constants on both sides.

g(x) + 1 + 1 = x^2 + 2x + 1

g(x) + 2 = x^2 + 2x + 1

Rewrite as perfect squares

g(x) + 2 = (x + 1)^2

Equation in vertex form:
g(x) = (x + 1)^2 - 2

The vertex:

(-1, -2)

* This a minimum *

  • <em>(Parabola open upward)</em>
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A corner of a rectangle is cut, creating a trapezoid.
forsale [732]

Answer:

the last option of 135°.

Step-by-step explanation:

The total degree of the rectangle is 360°. But it was sliced, so with the remaining measurements, subtract each of them from 360°.

90°+90°+45°+x°=360°

225°+x°=360°                 add all of the values on the left side, then subtract 225 on both sides to solve for the value of x°.

x°=135°

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3 years ago
if a single card is drawn from a standard 52- card deck in how many ways can a card other than a heart be obtained ​
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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a football is fired upward with an initial speed of 800 feet per second. It is given that h=-12t^2+360t (h is the height of the
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Answer:

30 s

Step-by-step explanation:

When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.

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● t(-12t +360) = 0

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● t=0 or -12t = -360

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The equation has two solutions.

The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.

So the ball hits the ground after 30 s.

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A picture representing 24÷6
Licemer1 [7]

Answer:

4

Step-by-step explanation:

24÷6

6 x ? = 24

6 goes into 24 four times

24÷6=4




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Well, they're saying 9 with an exponet of 2 multiplied by something equals 27..... Hmmm.....
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