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
sasho [114]
3 years ago
15

Help me please it’s due today

Mathematics
1 answer:
Zolol [24]3 years ago
5 0

Answer:

49 ft  

Step-by-step explanation:

h(t) = 56t - 16t²

This is the equation of a parabola.

We must solve the equation to find the time (t) when the ball reaches its maximum height (h).  

The coefficient of t² is negative, so the parabola opens downward, and the vertex is a maximum.

One way to solve this problem is to convert the equation to the vertex form.

We do that by completing the square.

Calculation:

h = -16t² + 56t  

Divide both sides by -16 to make the coefficient of  t² equal to 1.

(-1/16)h = t² - ⁷/₂t

Square half the coefficient of t

(-7/4)² = 49/16

Add and subtract it on the right-hand side

(-1/16)h = t² - ⁷/₂t  + 49/16 - 49/16  

Write the first three terms as the square of a binomial

(-1/16)h = (t - ⁷/₄)² - 49/16

Multiply both sides by -16

h = -16(t - ⁷/₄)² + 49

You have converted your equation to  the vertex form of a parabola:

y = a(t - h)² + k = 0,

where (h, k) is the vertex.

h = ⁷/₄ and k = 49, so the vertex is at (⁷/₄, 49).

The time to reach maximum height is ⁷/₄ s = 1.75 s.

The graph below shows that the ball reaches a maximum height of 49 ft after 1.75 s.

You might be interested in
Hi! can you please help me and show me how you got your answer? thank you!
Kamila [148]

Answer:

Step-by-step explanation:multipy -4x and 4 by 2 were the 8x and the -8x would cancel then add and bring down answer of x=15

5 0
3 years ago
What is the area of this...
Verizon [17]
The area of the following shape is 50
4 0
3 years ago
Rewrite the expression with parentheses pls help
KATRIN_1 [288]
Um is it (2+4) ÷ (2+4)
7 0
2 years ago
Match each transformation of function f to a feature of the transformed function.
andrezito [222]

By analyzing the parent function graph, we will see that:

  • 1) m(x) = -f(x) ⇒  "function decreases as x increases"
  • 2)  h(x) = f(x) + 2 ⇒ "asymptote of y = 2"
  • 3) j(x) = f(x + 2) ⇒ "y-intercept at (0, 4)"
  • 4)  g(x) = 2*f(x)  ⇒ "y-intercept at (0, 2)"

<h3>What thing does each transformation?</h3>

Let's list each transformation and let's see which is the correct option for each one.

1) m(x) = -f(x).

This is a reflection over the x-axis, so, now the curve will open downwards. This means that now we have a decreasing function, so the correct option here is: <em>"function decreases as x increases"</em>

2) h(x) = f(x) + 2

This is a vertical translation of 2 units upwards. So it moves the whole graph 2 units upwards. Originally, you can see that in the left side we have an asymptote at y = 0, now that asymptote will be at y = 2.

So the correct option is: <em>"asymptote of y = 2.</em>

3) j(x) = f(x + 2)

This is a shift of 2 units to the left, notice that when we evaluate this in x =  0 we et:

j(0) = f(2) = 2^2 = 4

So the y-intercept os (0, 4).

4) g(x) = 2*f(x)

This is a vertical stretch of scale factor 2.

When we evaluate this in x = 0, we get:

g(0) = 2*f(1) = 2

So the y-intercept is at (0, 2).

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

6 0
2 years ago
If Amir is running at a faster pace; 6.7 mph, to the nearest hundredth of an hour , after how much time will Amir catch up to sa
pickupchik [31]

Answer:

7

Step-by-step explanation:

6.7 rounds up to 7

6 0
3 years ago
Other questions:
  • Solve for p if 2|p| = 4
    5·1 answer
  • A six-sided die is rolled.<br><br> What is the probability that either a 1, 2, or 3 is rolled?
    9·1 answer
  • What is the edge length of a face-centered cubic unit cell made up of atoms having a radius of 125 pm?
    9·1 answer
  • Earl runs 30 meters in 20 seconds. How many meters does Earl run per second?
    5·2 answers
  • What is the surface area of the rectangular pyramid? m2<br> 8.8 m 9m 6m 2m?
    12·2 answers
  • What is u=k/a,for a ?
    14·1 answer
  • Jos
    7·1 answer
  • Help with number 8 plzzzzzzzzzzzzz
    12·1 answer
  • How to convert the mixed number to a fraction<br> 6 and 1 over 7?
    8·2 answers
  • Diane walks 5,000 steps each day for exercise. Over the next year, her goal is to increase the number of steps she walks each da
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!