A toy rocket was launched from the ground. The function f(x) = -16x² + 160x shows the height of the rocket f(x), in feet, from the ground at time x seconds.What is the axis of symmetry of the graph of f(x), and what does it represent?
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A) x = 10; it takes 10 seconds to reach the maximum height and 10 seconds to fall back to the ground
B) x = 10; it takes 10 seconds to reach the maximum height and 20 seconds to fall back to the ground
C) x = 5; it takes 5 seconds to reach the maximum height and 10 seconds to fall back to the ground
D) x = 5; it takes 5 seconds to reach the maximum height and 5 seconds to fall back to the ground
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I was absent for a week and we only touched up on this one day when I got back.
I really appreciate any and all help given.
Ranking Brianliest to the one who can give step by step instruction included in their answer.
Answers
Answer 1
Answer:
The answer is D. All you have to do is graph the equation, and you will have the vertex and the roots. By the way, you can rule out B and C because those two do not follow the rules of a quadratic. Also, A and B have the wrong axis of symmetry, because the rocket lands after 10 seconds.
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Answer:
ill say C because its a greater and the greatest chance
Answers
Since these questions all require similar methods of solving, I will only completely work out the first question of each type.
2. To find
as a decimal, all we need to do is complete the fraction by dividing the numerator by the denominator.
= 7 / 10 = 0.7
as a decimal is 0.7.
3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.
Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.
0.65 = 65%
which is the answer to question 3.
written as a percent is 65%.
4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.
2%5 =
Since 25 goes into 100 four times, we can simplify this fraction.
which is our answer.
25% written as a fraction is
.
5. This is the same as problem 3, so I won't show my work for the sake of time.
as a percentage is 40%.
6. This is the same as problem 1, so I will not show steps again.
as a decimal is 0.15.
7. Done similar problems in past. No work shown.
as a percent is 42%.
8. Same as last problem.
as a percent is 4%.
9. Same as number 4.
6% as a fraction is
.
10. Similar in past.
as a percentage is 60%.
11. Same as 6.
as a decimal is 0.48.
12. Done a lot of these so far.
as a percentage is 30%.
13. Just did one like this.
as a percentage is 75%.
14. Same as 4 and 9.
65% as a fraction is.
15. Plenty of these done in past.
as a percentage is 20%.
16. Last problem, and it's just like the one just before this.
written as a percent is 90%.
So there are the results.
Hope that helped! =)
2. To find
3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.
Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.
0.65 = 65%
which is the answer to question 3.
4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.
2%5 =
Since 25 goes into 100 four times, we can simplify this fraction.
which is our answer.
25% written as a fraction is
5. This is the same as problem 3, so I won't show my work for the sake of time.
6. This is the same as problem 1, so I will not show steps again.
7. Done similar problems in past. No work shown.
8. Same as last problem.
9. Same as number 4.
6% as a fraction is
10. Similar in past.
11. Same as 6.
12. Done a lot of these so far.
13. Just did one like this.
14. Same as 4 and 9.
65% as a fraction is
15. Plenty of these done in past.
16. Last problem, and it's just like the one just before this.
So there are the results.
Hope that helped! =)
2. 7/10 as a decimal.
The easiest way to find the decimal form of a fraction is to make it out of 10 or 100. Since this one's already out of 10, we read it as "seven tenths."
Seven tenths as a decimal is 0.7, because the 7 is in the tenths spot.
7/10 as a decimal is 0.7
3. 13/20 as a percent
Percent means "one part in every hundered", so let's convert this fraction into something out of 100.
To do that, we need to multiply it by whatever number will turn the denominator into 100.
20 x 5 = 100
13 x 5 = 65
13/20 is equal to 65/100
Now, we take the numerator, and write it as a percent.
65/100 is 65%
Therefore 13/20 as a percent is 65%
4. 25% as a fraction.
We can do this one the opposite of #3.
25% is 25/100
And then we can just simplify. 5 goes into both 25 and 100, so let's use that first.
25 ÷ 5 = 5
100 ÷ 5 = 20
25/100 = 5/20
But we can simplify it further, if we want, because 5 goes into 5 and 20
5 ÷ 5 = 1
20 ÷ 5 = 4
25/100 = 5/20 = 1/4
So 25% as a fraction can be written as 25/100, or 5/20, or 1/4.
Now, #5-16 can all be done the same way as #2, 3, or 4, so I'll write out the math, but not the lengthy explanation for the rest.
5. 2/5 as a percent
5 x 2 = 10
2 x 2 = 4
4/10
10 x 10 = 100
4 x 10 = 40
40/100
40%
6. 9/20 as a decimal
20 x 5 = 100
9 x 5 = 45
45/100
0.45
7. 21/50 as a percent.
50 x 2 = 100
21 x 2 = 42
42/100
42%
8. 1/25 as a percent
25 x 4 = 100
1 x 4 = 4
4/100
4%
9. 6% as a fraction
6/100
6 ÷ 2 = 3
100 ÷ 2 = 50
3/50
6/100 or 3/50
10. 3/5 as a percent
5 x 20 = 100
3 x 20 = 60
60/100
60%
11. 12/25 as a decimal
25 x 4 = 100
12 x 4 = 48
48/100
0.48
12. 3/10 as a percent
10 x 10 = 100
3 x 10 = 30
30%
13. 3/4 as a percent
4 x 25 = 100
3 x 25 = 75
75/100
75%
14. 65% as a fraction
65/100
65 ÷ 5 = 13
100 ÷ 5 = 20
13/20
65/100 or 13/20
15. 1/5 as a percent
5 x 20 = 100
1 x 20 = 20
20/100
20%
16. 9/10 as a percent
10 x 10 = 100
9 x 10 = 90
90/100
90%
#17 and 18 require a bit more math, because they're lovely word problems.
17. Ashlee has finished 7/25 of her homework. What percent of the homework does Ashlee still need to finish?
First, let's turn 7/25 into a percentage.
25 x 4 = 100
7 x 4 = 28
28/100
28%
Now, we subtract 28% from 100% to find out how much she's got left
100 - 28 = 72
Ashlee has 72% of her homework left to finish.
18. Luz catches 83% of the balls in the outfield. What fraction of the balls does he not catch?
Let's turn 83% into a simple fraction, and work from there.
83%
83/100
We can simplify the answer later, but for now, to find the fraction he doesn't catch, we subtract the fraction from the whole.
100/100 - 83/100 = 17/100
17 is a prime number, so we can't reduce it down at all.
Luz doesn't catch 17/100 of the balls.
The easiest way to find the decimal form of a fraction is to make it out of 10 or 100. Since this one's already out of 10, we read it as "seven tenths."
Seven tenths as a decimal is 0.7, because the 7 is in the tenths spot.
7/10 as a decimal is 0.7
3. 13/20 as a percent
Percent means "one part in every hundered", so let's convert this fraction into something out of 100.
To do that, we need to multiply it by whatever number will turn the denominator into 100.
20 x 5 = 100
13 x 5 = 65
13/20 is equal to 65/100
Now, we take the numerator, and write it as a percent.
65/100 is 65%
Therefore 13/20 as a percent is 65%
4. 25% as a fraction.
We can do this one the opposite of #3.
25% is 25/100
And then we can just simplify. 5 goes into both 25 and 100, so let's use that first.
25 ÷ 5 = 5
100 ÷ 5 = 20
25/100 = 5/20
But we can simplify it further, if we want, because 5 goes into 5 and 20
5 ÷ 5 = 1
20 ÷ 5 = 4
25/100 = 5/20 = 1/4
So 25% as a fraction can be written as 25/100, or 5/20, or 1/4.
Now, #5-16 can all be done the same way as #2, 3, or 4, so I'll write out the math, but not the lengthy explanation for the rest.
5. 2/5 as a percent
5 x 2 = 10
2 x 2 = 4
4/10
10 x 10 = 100
4 x 10 = 40
40/100
40%
6. 9/20 as a decimal
20 x 5 = 100
9 x 5 = 45
45/100
0.45
7. 21/50 as a percent.
50 x 2 = 100
21 x 2 = 42
42/100
42%
8. 1/25 as a percent
25 x 4 = 100
1 x 4 = 4
4/100
4%
9. 6% as a fraction
6/100
6 ÷ 2 = 3
100 ÷ 2 = 50
3/50
6/100 or 3/50
10. 3/5 as a percent
5 x 20 = 100
3 x 20 = 60
60/100
60%
11. 12/25 as a decimal
25 x 4 = 100
12 x 4 = 48
48/100
0.48
12. 3/10 as a percent
10 x 10 = 100
3 x 10 = 30
30%
13. 3/4 as a percent
4 x 25 = 100
3 x 25 = 75
75/100
75%
14. 65% as a fraction
65/100
65 ÷ 5 = 13
100 ÷ 5 = 20
13/20
65/100 or 13/20
15. 1/5 as a percent
5 x 20 = 100
1 x 20 = 20
20/100
20%
16. 9/10 as a percent
10 x 10 = 100
9 x 10 = 90
90/100
90%
#17 and 18 require a bit more math, because they're lovely word problems.
17. Ashlee has finished 7/25 of her homework. What percent of the homework does Ashlee still need to finish?
First, let's turn 7/25 into a percentage.
25 x 4 = 100
7 x 4 = 28
28/100
28%
Now, we subtract 28% from 100% to find out how much she's got left
100 - 28 = 72
Ashlee has 72% of her homework left to finish.
18. Luz catches 83% of the balls in the outfield. What fraction of the balls does he not catch?
Let's turn 83% into a simple fraction, and work from there.
83%
83/100
We can simplify the answer later, but for now, to find the fraction he doesn't catch, we subtract the fraction from the whole.
100/100 - 83/100 = 17/100
17 is a prime number, so we can't reduce it down at all.
Luz doesn't catch 17/100 of the balls.
Answers
2.5 dollars (I think) or 2.50
It’ll be $2.50. 2.50 plus 2.50 is $5 .
Answers
It depends on what type of transportation you would be using. If you were walking, it would be reeeaaaalllly slooowww. If a train, much faster!
It depends on how fast you are going. How fast?
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63+63+63+63+63+63+63=441
Answers
if the first number is x and the second number is y
1^3 = 1
2^3 =8
3^3=27
4^3 = 64
y=x^3
f(x)=x^3
Answer:d. Y=x3
Step-by-step explanation:
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