Is division of whole numbers associative property

A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

8 0

2 years ago

Find SP when CP=Rs.400 and proft%=4%

kvasek [131]

Answer:

$\boxed{Selling\ Price = Rs.\ 424}$

Step-by-step explanation:

Cost Price = Rs. 400

Profit = 4 % of Cost Price

=> $\frac{4}{100} * 600$

=> 4 * 6

=> Profit = Rs. 24

Now, Selling Price = Cost Price + Profit

Selling Price = 400+24

Selling Price = Rs. 424

7 0

3 years ago

Read 2 more answers

Use the expression 5(6 + 4x) to answer the following: Part A: Describe the two factors in this expression. (4 points) Part B: Ho

Nikolay [14]

Answer:

Part A: The two factors are 6 and 4x. Part B: Question is confusing Part C: The coefficient of the variable is 4.

Step-by-step explanation:

Factors are what gets multiplied to give a product, therefore, 6 and 4x are the products as they are both being multiplied by 5. I don't understand what you are asking for part b. Part C, the coefficient is any number that is multiplied with the variable next to in. For example, in 16x, 16 is the coefficient and x is the variable. In 9y, 9 is the coefficient and y is the variable.

7 0

2 years ago

Cual es el 20% de 75

ValentinkaMS [17]

20% de 75 es 50...<span>Es el iniciador</span>

4 0

2 years ago

Read 2 more answers

Please help me asap. I need an answer and full explanation. 1st person to complete that gets Brainliest. Question: Amelia likes

Zielflug [23.3K]

Answer:

22 cards