A football is kicked toward the goal. The height of the ball is modeled by the function h(t) = -16t2 + 64t where t equals the time in seconds and h(x) represents the height of the ball at time t seconds. What is the axis of symmetry and what does it represent? t = 2; it takes 2 seconds to reach the maximum height and 2 seconds to fall back to the ground
t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground
t = 4; it takes 4 seconds to reach the maximum height and 4 seconds to fall back to the ground
t = 4; it takes 4 seconds to reach the maximum height and 8 seconds to fall back to the ground
Answers
roots:
0 = -16t^2 + 64t
0 = t^2 - 4t
0 = t(t-4)
t=0 and t =4
The symmetry axis is at the middle of the two roots: t = (0+4)/2
That time (t=2) is what it takes the object to reach the maximum height.
Answer: t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground
Answer: B/ it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground
Step-by-step explanation:
Related Questions
What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve.
Write a ratio that is equivalent to 8:6
Three fourths of a number p less subtracted by 2 is 5 sixths of a number r plus 5
4’ square?* peterminter
Answers
A 8 can go into 66 eight times, with a remainder of 2.
To calculate how many times 8 can go into 66, we need to perform long division.
Step 1: Set up the long division:
8 | 66
Step 2: Determine how many times 8 can go into the first digit of 66 (which is 6). It goes 8 times (8 x 8 = 64). Write 8 above the division bar.
8 | 66
8
Step 3: Subtract 64 from 66 to get the remainder. Bring down the next digit (which is 6).
8 | 66
8
---
26
Step 4: Determine how many times 8 can go into 26. It goes 3 times (8 x 3 = 24). Write 3 above the division bar.
8 | 66
8
---
26
24
Step 5: Subtract 24 from 26 to get the remainder. There is no more digit to bring down, so the division is complete.
8 | 66
8
---
26
24
---
2
The final result is 8 times with a remainder of 2. Therefore, 8 can go into 66 eight times, with a remainder of 2.
To know more about remainder:
#SPJ6
Answers
Answer:
24 and 30
Step-by-step explanation:
The sum of two numbers is 54. Let's use the variables x and y to represent theses numbers:
x + y = 54
The smaller number is 6 less than the bigger one. Let's say that x is the smaller number and y is the bigger number:
y - 6 = x
Now we know that x is equivalent to y - 6. So, let's replace x with y - 6 in the original equation:
x + y = 54
y - 6 + y = 54
Combine like terms:
2y - 6 = 54
Now we can solve for y:
2y - 6 = 54
Add 6 to both sides of the equation to isolate the 2y:
2y = 60
Divide both sides by 2 to find the value of y:
y = 30
Now that we know the value of y, we can solve for x:
y - 6 = x
30 - 6 = x
24 = x
The value of the two numbers is 24 and 30.
Answers
A mother kangaroo is unhappy when it rains because it can harm her offspring.
Why does rain make a mother kangaroo unhappy?
Rain poses a threat to the well-being of a mother kangaroo's offspring. When it rains, the pouch of a kangaroo can become damp and uncomfortable potentially leading to health issues for the joey inside.
Also, the wet conditions make it challenging for the mother kangaroo to find suitable food and shelter further endangering the survival of her young one. Therefore, the rain brings about concerns and discomfort for the mother kangaroo prompting her unhappiness.
Read more about mother kangaroo
#SPJ6
Answer: and where do they need to use the bathroom
On these days the kids have to play inside
Step-by-step explanation:
5/8y=-1
Answers
First, change
Second, multiply both sides by 8. / Your problem should look like:
Third, divide both sides by 5. / Your problem should look like:
Answer as fraction: y =
Answer as decimal: -1.6
5/8y=−1
Multiply both sides by 8/5.
(8/5)*(5/8y)=(8/5)*(−1)
y=−8/5
Answers
solve for x
add y to both sides
x=y-1
sub negative values for y and get negative values for x
if y=-1, x=-2
if y=-3, x=-4
and so on
some points
(-2,-1)
(-3,-2)
(-4,-3)
(-5,-4)
(-6,-5)
etc
Answers
Remember, i = √-1
Answer:
3i√5
Step-by-step explanation: