1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
To Enter the value of n that makes the equation: 4^5.4^n=4^8 true
irina1246 [14]
4^2\text{ }\times4^n=4^8

Since both sides have the same base (4), we can add the exponents

4^{5+n}=4^85+n=8

subtract 5 from both sides:

5+n-5=8-5n=3

6 0
1 year ago
What is the domain and range of this equation? Y= -1/4|x|+2
Sidana [21]
The domain is (-∞,∞)
the range is (−∞,2]
6 0
3 years ago
Gino bought 1/2 lb of​ candy, 3/4 lb of​ nuts, and 7/8 lb of granola to make a trail mix. How many pounds of trail mix did Gino​
Yakvenalex [24]
1/2 + 3/4 + 7/8
4/4(1/2)+ 2/2(3/4) + 7/8
4/8 + 6/8 + 7/8

4+ 6 + 7
—————
8

17 1
——. Or 2—-
8 8


He prepared 2 1/8 lbs of trail mix
4 0
3 years ago
What is the expression (cscx+cotx)^2 the same as?
Nataly_w [17]
<span>c)1 + 2cot^2x + 2cscx cotx

because cosc^2x=1+cot^2x</span>
3 0
3 years ago
Read 2 more answers
1. Carly bought some tickets and some snacks and paid $34 from the Redhawk Rangers selling raffle tickets for $2 each
GaryK [48]

Answer:

$2(T) + $1.5(S) = $34

Step-by-step explanation:

Let:

tickets be represented by T

Snacks be represented by S

As total amount she paid is $34

The expression would be:

$2(T) + $1.5(S) = $34

i hope it will help you!

4 0
3 years ago
Read 2 more answers
Other questions:
  • The table shows ordered pairs for a polynomial function, f.
    7·1 answer
  • What is the slope of mountain that descends 100 meters for every horizontal distance of 1000 meters
    7·2 answers
  • Which expression is a perfect cube?<br>12x^12y^18<br>12x^27y^125<br>64x^15y^125<br>64x^27y^125​
    11·1 answer
  • Solve for x.<br> 2x+5=3-7x
    12·1 answer
  • 4/5 &gt;-2/3d helpppppppppppppppppppp
    6·1 answer
  • kaitlyn is covering all faces of a tissue box cover shaped like a rectangle prism. The cover has dimensions of 9” x5” x3.75”. Wh
    12·1 answer
  • BRAINLIESTTT ASAP! PLEASE HELP ME :)
    7·2 answers
  • A cylinder with radius 3 meters and height 7 meters has its radius tripled. How many times greater is the volume of the larger c
    8·1 answer
  • Seven television sets are chosen at random (i.e., without replacement) from a shipment of 240 television sets of which 15 are de
    8·1 answer
  • What is the slope of the line through (-7, -8) and (0,4)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!