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Ganezh [65]
3 years ago
6

The height 'h' (in feet) of a ball in a baseball game can be modeled by h = -16t² + 28t + 8 , where 't' is the time (in seconds)

.
a. Do both t-intercepts of the graph of the function have meaning in this situation? Explain.

b. No one caught the ball. After how many seconds did the ball hit the ground?

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

  a)  No. t < 0 is not part of the useful domain of the function

  b) 2.0 seconds

Step-by-step explanation:

a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.

__

b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.

  h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0

  0 = -4(4t² -7t -2) = -4(4t +1)(t -2)

This has t-intercepts where the factors are zero, at t=-1/4 and t=2.

The ball will hit the ground after 2 seconds.

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kap26 [50]

Answer: 761 yd

split the figure into different pieces to make it easier

(23 x 7) + (40 x 15)

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6 0
2 years ago
Read 2 more answers
The Patronete Winery's tastiest wine must have a 12% alcohol content. How many gallons of wine with a 9% alcohol content must be
erik [133]

Answer: 3000 gallon

Step-by-step explanation:

Here, The total quantity of 15% alcohol content = 3000 gallon

And, in which quantity of alcohol = 15% of 3000 gallon = 450 gallon.

Let the total quantity of 9% alcohol content  = x

In which quantity of alcohol = 9% of x gallon= 9x/100 gallon

Now, according to the question,  The wine with a 9% alcohol content will be mixed with 3,000 gallons of wine with a 15% alcohol content in order to achieve the desired 12% alcohol content.

Thus, the total quantity of mixture of 12% alcohol content = The total quantity of 15% alcohol content + total quantity of 9% alcohol content

= 3000 + x

In which quantity of alcohol = 12 % of ( 3000+x) = (360 + 12x/100) gallon ---(1)

But, the quantity of alcohol in 12 % of alcohol content = quantity of alcohol in 15% of alcohol content +  quantity of alcohol in 9% of alcohol content

The quantity of alcohol in 12 % of alcohol content = (450 + 9x/100) gallon ---(2)

On equating equation (1) and (2)

We get, 360 + 12x/100 = 450 + 9x/100

⇒ 3x/100 = 90

⇒ x = 3000

Therefore, The total quantity of the mixture of 9% alcohol content = 3000


6 0
3 years ago
Solve the inequality. Graph the solution set. 23 + 156 &gt; 5(3b + 1)
Elan Coil [88]

Answer:

b<58/5

Step-by-step explanation:

4 0
3 years ago
Three consecutive even integers have a sum of 48 . find the integers.
Mandarinka [93]

<span>
</span>

<span>x+<span>(x+2)</span>+<span>(x+4)</span>=48</span>

3x+6=48

Minus 6 to both sides

<span>3x=42</span>

Divide 3 to both sides

<span>x=14</span>

Get the next two integers

<span>x,x+2,x+4 or 14,16,<span>18 = 48 is you Answer</span></span>

4 0
3 years ago
I need to know the answers to the 3 questions in there
lina2011 [118]
What are the three question?
3 0
3 years ago
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