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4 years ago

What is the coordinate of the vertex? Help

Mathematics

1 answer:

Ilya [14]4 years ago

3 0

Answer: (6,-20)

Explanation:
The equation f(x) = -(x-6)^2 - 20 is the same as y = -1(x-6)^2 + (-20)
It is in the form y = a(x-h)^2 + k
The vertex is (h,k)
In this case, h = 6 and k = -20
So that's why the vertex is (6,-20)

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Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron.

Hunter-Best [27]

Answer:

Aaron’s present age = x - 5 = 6 - 5 = 1

Step-by-step explanation:

Let Ron’s present age be x.

Then Aaron’s present age = x - 5

After 4 years Ron’s age = x + 4, Aaron’s age x - 5 + 4.

According to the question;

Ron will be twice as old as Aaron.

Therefore, x + 4 = 2(x - 5 + 4)

⇒ x + 4 = 2(x - 1)

⇒ x + 4 = 2x - 2

⇒ x - 2x = -2 - 4

⇒ -x = -6

⇒ x = 6

Therefore, Aaron’s present age = x - 5 = 6 - 5 = 1

Hope this answer helps you :)

Have a great day

Mark brainliest

3 0

3 years ago

Find the values of b such that the function has the given maximum value <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20-x%5E

Nostrana [21]

Answer:

b = {20, -20}

Step-by-step explanation:

Given function:

f(x) = -x² + bx - 65 with maximum value of 35

To find

The value of b

Solution:

Maximum value is obtained at vertex as a < 0

Vertex coordinate of x is:

x = -b/2a = -b / -2 = 1/2b

Solving for b:

35 = - (1/2b)² + b(1/2b) - 65
- 1/4b² + 1/2b² = 100
1/4b² = 100
b² = 400
b = √400
b = ± 20

See attached

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Answer:

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