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
valentinak56 [21]
3 years ago
8

The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t

he air along a path represented by g(t) = 20 + 38.7t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

I need help with part B
Mathematics
1 answer:
EleoNora [17]3 years ago
5 0
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

<span>It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. </span>
You might be interested in
Choose the item that does NOT have a measurable volume.
Tanzania [10]

Answer:

two dimensional triangle

Step-by-step explanation:

im not smart but im pretty sure its that

4 0
2 years ago
Read 2 more answers
Help please, thank you
Lina20 [59]
M is the independent variable
7 0
3 years ago
Can anyone save my life and help me with these 2 questions:(
Sav [38]
13)

Relative max on (2)
Relative min on (-2)
5 0
3 years ago
Graph the function f(x) = -3x - 2.
Elza [17]

Answer: slope is -3 and y-intercept is -2

Step-by-step explanation:

when x= 0, y=-2

when x=1, y=-5

i believe you have just to change the value of the letter x in the equation to find the value of y

5 0
3 years ago
Solve the inequality. 2n/7 ≤ 4, but it needs to be in set-notation.
son4ous [18]

Answer

n <u>< </u>14

Step-by-step explanation:

simplify 2n<28

2n/2<28/2

simplify n<14

6 0
3 years ago
Other questions:
  • Melisande collected 14 bottles on Saturday and 9 bottles on Sunday for recycling. On Monday, she took all the bottles to the rec
    7·2 answers
  • What radian is equivalent to 240 degrees
    10·2 answers
  • Compare and contrast the perpendicular bisectors, medians, and altitudes of a triangle. How are they alike? How are they differe
    14·1 answer
  • Can one line be shorter than the other and still be parallel
    8·1 answer
  • Two pounds of jelly beans costs $12.<br><br> If I spend $21, how many pounds did I buy?
    8·2 answers
  • Do the side lengths 15,20 and 25 form a right triangle?<br><br><br> PLEASEEEE HELPPPP!!! asap
    7·1 answer
  • There are many examples of how teNathaniel stops at the grocery store on his way home. He buys 4 loaves of bread and a cheesecak
    13·1 answer
  • What is the measure of ∠XBC?
    13·1 answer
  • Please help 8th grade math
    14·2 answers
  • The sum of 2112 + 2212 + 2312 when divided by 4, leaves no remainder. What will be the remainder when the sum of 2113 + 2213 + 2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!