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
nexus9112 [7]
3 years ago
12

Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o

f the ball above the ground and represents the time in seconds. The maximum value achieved by the function is represented by the vertex. Use factoring to answer the following: How many seconds does it take the ball to reach its highest point
Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

You might be interested in
3/4x = 1/5. X=__<br><br> A. 3 3/4<br><br> B. 11/20<br><br> C. 4/15<br><br> D. 3/20
gizmo_the_mogwai [7]

Answer:

C

Step-by-step explanation:

transposition

3x/4=1/5

xc=yc

15x/20×20=4/20×20

15x=4

x=4/15

4 0
1 year ago
- An expression is shown. 12.3 - (-21.45) What is the value of the expression? ​
Rus_ich [418]

Answer:

33.75

Step-by-step explanation:

12.3 -(-21.45)

12.3 + 21.45 (<em>because</em><em> </em><em>minus </em><em>of </em><em>minus </em><em>becomes</em><em> </em><em>plus)</em>

33.75

6 0
1 year ago
What’s is part A?? .....
bixtya [17]

Answer:

A. 3

B. 4

C. 1

D. 2

Step-by-step explanation:

Consider all equations:

A. y=x^2 -6x+8

This is the equation of parabola with vertex at point

x_v=\dfrac{-b}{2a}=\dfrac{-(-6)}{2\cdot 1}=3\\ \\y_v=3^2-6\cdot 3+8=9-18+8=-1

The y-intercept is at point

x=0\\ \\y=0^2-6\cdot 0+8=8

Since

x^2 -6x+8=x^2-4x-2x+8=x(x-4)-2(x-4)=(x-2)(x-4),

the x-intercepts are at points (2,0) and (4,0)

The leading coefficient is 1 > 0, then the parabola opens upwards.

Hence, the graph of this parabola is 3.

B. y=(x-6)(x+8)

This parabola has two x-intercepts at points (6,0) and (-8,0).

The leading coefficient is 1 > 0, then the parabola opens upwards.

The only possible choice is parabola 4.

C. y=(x-6)^2+8

This parabola has the vertex at point (6,8), opens upwards, therefore does not intersect the x-axis.

The graph of this parabola is 1.

D. y=-(x+8)(x-6)

This parabola has two x-intercepts at points (6,0) and (-8,0).

The leading coefficient is -1 > 0, then the parabola opens downwards.

The only possible choice is parabola 2.

4 0
3 years ago
Read 2 more answers
If f(x) = 2(x - 1) and g(x) =-2x^2<br> find (fºg)(-4)
vladimir1956 [14]

Answer:

- 66

Step-by-step explanation:

Evaluate g(- 4) then substitute the value obtained into f(x) , that is

g(- 4) = - 2(- 4)² = - 2 × 16 = - 32, then

f(- 32) = 2(- 32 - 1) = 2 × - 33 = - 66

7 0
3 years ago
What is 4 5/6 - 9 8/9
vodomira [7]

Answer:

-91/18

Step-by-step explanation:

hope this helps!

7 0
3 years ago
Other questions:
  • Classify the two given samples as independent or dependent the weight of cat
    9·1 answer
  • 2) Paul has two and two-thirds pounds of peanuts and a quarter of a pound of cashews . How many more pounds of cashews does he h
    11·1 answer
  • Can somebody please help me with this question
    11·1 answer
  • How many pounds are in 1 ounce?
    11·1 answer
  • At work, Elon takes a break 1/5 of each hour he works. He also takes a lunch break for 1/2 of an hour each day he work. Elon bre
    15·2 answers
  • MATH PLS HELP EXAMS PROBLEM 1!!!!!!
    10·1 answer
  • PLSSSS HURRY I HAVE A TIME LIMIT MUST SHOW WORK
    14·1 answer
  • How can we tell if the slope is positive or negative?
    9·1 answer
  • Let x be the middle integer of three consecutive integers. What is the sum of these three integers
    12·1 answer
  • What are your recommendations about augmented learning​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!