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Tasya [4]
3 years ago
15

What is the vertex of the parabola

Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Let's consider the equation of parabola, y = a·(x - α)·(x - β)

where α, β are the x-intercepts.

From the given graph, the y-intercept is (0, -3).

From the given graph, the x-intercept are (-1, 0) and (3, 0) i.e. α = -1, β = 3.

So the equation of parabola would be now, y = a·(x + 1)·(x - 3)

We can plug the y-intercept (0, -3) in the equation to find value of 'a'.

-3 = a·(0+1)·(0-3)

-3 = -3a

a = 1

So the equation of parabola would be now, y = (x + 1)·(x - 3) = x² - 2x - 3

Comparing it with y = ax² + bx + c

The x-coordinate of vertex would be, x = \frac{-b}{2a} = \frac{-(-2)}{2(1)} =\frac{2}{2} = 1

the y-coordinate of vertex would be, y = (1)² - 2(1) - 3 = -4.

Hence, vertex would be (1, -4).

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Answer:

50w+100 \ge 18000

Step-by-step explanation:

Each seven-letter word is worth 50 points. w words are then worth w\times50=50w.

Since Sal gets 100 points for playing the game, his points total after w words is 50w +100. If he wants to break the record, he must get, at least, 18000 points. "At least" in inequality means \ge (just as "at most" means \le). Then the required inequality is

50w+100 \ge 18000.

Note that the question says "18000 or more", which is why we used the \ge symbol. If the phrase had been "more than 18000", we would have used >.

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3 years ago
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Answer:

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Step-by-step explanation:

m is a point, if your trying to find lkh, is 69

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jkm=69

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lkh=69

hope this helps, if not see me in the commnets

HOPE THIS HELPS, BRAINLIEST PLEASE

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2 years ago
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laila [671]

Answer:

$44.10

Step-by-step explanation:

Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer.

Have a nice day and stay safe, all love from jen <3

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Answer:

a = 1/2 (b) (h)

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Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

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