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Minchanka [31]
4 years ago
15

The function f(x)= - (x+2)^2+16 has been rewritten using the completing-the-square method. The function g(x) =4x^2+16x+24. Which

vertex for each function has a minimum or a maximum? What is the vertex for each function?
Mathematics
1 answer:
stealth61 [152]4 years ago
8 0
F(x) = -(x + 2)^2 + 16
This functions vertex is a maximum and is at (-2,16)

f(x) = 4x^2 + 16x + 24
This functions vertex has a minimum and is at (-2,8)
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Roberta has a balance of $4350 on a credit card with an APR of 30.2% paying off her balance in which of these lengths of time wi
Alenkinab [10]

8 months—-> APEX

the least amt of time, the larger the monthly payments—> less interest in less months

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4 years ago
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Use the position function s(t) = –4.9t2 + 500, which gives the height (in meters) of an object that has fallen for t seconds fro
weqwewe [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  value is  v(3) =  29.4 \  m/s

Step-by-step explanation:

From the question we are told that

    s(t) =  -4.9t^2 + 500

And  

    \lim_{t \to a}  \frac{s(a) - s(t)}{a-t}

Generally s(t) at t = a is mathematically evaluated as

      s(a) =  -4.9a^2+ 500

So

    s(a) - s(t) =  -4.9a^2 + 500 - ( -4.9t^2+500)

     s(a) - s(t) =  -4.9a^2 + 500 +4.9t^2-500)

      s(a) - s(t) = 4.9(t^2 - a^2)

Thus the velocity is represented as

     v(t) =\lim_{t \to a}  \frac{s(a) - s(t)}{a-t} \equiv \lim_{t \to a} \frac{4.9(t^2 -  a^2 )}{ a-t}

=>     v(t) = \lim_{t \to a}  - 4.9(a + t )

=>      v(t) = -4.9 (a + a )

=>      v(t) = -9.8a

Now at  t =  3

=>  v(3) = -9.8 (3)

=>   v(3) =  29.4 \  m/s

3 0
4 years ago
Can someone help with explanation?
ch4aika [34]

Answer:

Step-by-step explanation:

multiply 7 times 4 then you add that when you

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8 0
3 years ago
What is the probability of rolling a 3 on one number cube and an even number on another number cube?
UkoKoshka [18]

Answer:

1/6

50%

Step-by-step explanation:

  • <em>The answer for part one is 1/6 because a cube has six sides. so your odds are 1/6 to get a 3</em>
  • <em>The odds of you rolling an even number vs an odd number is 50% because there are 3 even numbers and 3 odd numbers on a standard dice.</em>
4 0
3 years ago
A farmer is constructing a rectangular pen with one additional fence across its width. Find the maximum area that can be enclose
konstantin123 [22]

The maximum area of the pen is the highest area the pen can have

The maximum area is 16200 square yards

Let the dimension be x and y.

So, the perimeter is given as:

\mathbf{P = 360}

Because it has one additional fence, the perimeter is calculated as:

\mathbf{2x + y = 360}

Make y the subject

\mathbf{y = 360 - 2x}

The area is calculated as:

\mathbf{A = xy}

Substitute \mathbf{y = 360 - 2x}

\mathbf{A = x(360 -2x)}

Expand

\mathbf{A = 360x -2x^2}

Differentiate

\mathbf{A' = 360 -4x}

Set to 0

\mathbf{360 -4x = 0}

Rewrite as:

\mathbf{4x = 360}

Divide both sides by 4

\mathbf{x = 90}

Substitute 90 for x in \mathbf{A = 360x -2x^2}

\mathbf{A = 360 \times 90 - 2 \times 90^2}

\mathbf{A = 16200}

Hence, the maximum area is 16200 square yards

Read more about maximum areas at:

brainly.com/question/11906003

7 0
3 years ago
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