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Trava [24]
3 years ago
7

The data given for a football kicked from the field follows a quadratic model, h(x) = - 3x2 + 18x + 7. Where h(t) is the height

in feet and t is the in seconds. Using this model, what is the maximum height the ball will reach?
43 ft
7 ft
34 ft
17 ft
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

C) 34

Step-by-step explanation:

use -b/2a to find the x value of the vertex (3)

then plug 3 into equation

- 3(3)² + 18(3) + 7

the answer is 34

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Expand the expression using the Binomial Theorem and Pascal's Triangle: (3x-1)^3
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4. Add one set of parentheses to make the expression equal
Sauron [17]

The expression that is equal to 2022 by adding a set of parentheses is 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12).

<h3>How to solve a long-expression problem?</h3>

In mathematics, parentheses are used to group a set of mathematical terms. In  a long-expression, like the one presented, using parenthesis implies:

  • The terms in the parentheses are solved separately from those outside the parentheses.
  • The terms in the parentheses are solved before solving those outside.
  • Moving the parentheses will affect the result of the whole expression.

Based on this, the expression that equals 2022 is:

  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)

<h3>Let's solve it to prove this result</h3><h3 />
  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)

First, solve the parenthesis first by dividing and then by adding.

  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (1 + 1)12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / 2

Now, let's solve this expression, the first step is to solve the multiplications.

  • 1728 + 144 + 144 + 12/2

Now, solve the division.

  • 1728 + 144 + 144 + 6

Finally, add everything.

  • 1728 + 144 + 144 + 6 = 2022

Learn more about mathematics in: brainly.com/question/12083755

7 0
2 years ago
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