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bekas [8.4K]
2 years ago
15

20.

Mathematics
1 answer:
Alik [6]2 years ago
5 0

Answer:

After 3 seconds

Step-by-step explanation:

Given

h(t) = -16t^2 + 96t

Required

Seconds to attain maximum height

The maximum of a quadratic function y = ax^2 + bx + c is calculated using:

x = -\frac{b}{2a}

So, we have:

t = -\frac{b}{2a}

Where:

a = -16 and b = 96

So:

t = -\frac{96}{2 * -16}

t = -\frac{96}{-32}

Cancel out negatives

t = \frac{96}{32}

t = 3

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OverLord2011 [107]

Answer:

Arithmetic

An = A[n - 1] + 3/5

An = 3/5[n]

Step-by-step explanation:

Number of days = 5

Number of chocolate = 3

Computation:

Recursive:

Number of chocolate eat per day = 3/5

So,

First term a1 = 3/5

So,

An = A[n - 1] + 3/5

Explicit:​

An = 3/5 + 3/5[n-1]

An = 3/5[n]

4 0
2 years ago
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8). What is the corresponding quadratic expression? A. 2x2 −
Goryan [66]

Given:

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).

To find:

The corresponding quadratic expression.

Solution:

If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.

A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.

The function is defined as:

P(x)=a(x-2)(x-6)                    ...(i)

Where, a is a constant.

The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.

Substituting x=4 and P(x)=8 in (i).

8=a(4-2)(4-6)

8=a(2)(-2)

8=-4a

Divide both sides by -4.

\dfrac{8}{-4}=a

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Putting a=-2 in (i), we get

P(x)=-2(x-2)(x-6)

P(x)=-2(x^2-6x-2x+12)

P(x)=-2(x^2-8x+12)

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2 years ago
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Vsevolod [243]
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5 0
3 years ago
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Brianna bought a total of 8 notebooks and got 16 free pens
Lena [83]

Answer: 1:2

Step-by-step explanation:

Well, if you're asking for the ratio, it is 1:2

For every 1 notebook bought, there would be 2 free pens.

Since she bought 8 notebooks, just multiply 2 by 8 which will result in 16.

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1 year ago
Find the product <br> (x-5)(3x+8)
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3x^2-7x-8

explanation:3x^2+8x-15x-8

=3x^2-7x-8

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