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timofeeve [1]
3 years ago
10

What is the equation for y= and The high of the basketball after 1.7 second? Please explain your answer.

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer:

Step-by-step explanation:

ax² + bx + c = y

Plug in data points to get a system of equations in three unknowns.

(0.5,18): 0.25a + 0.5b + c = 18

(1,24): a + b + c = 24

(1.5,22): 2.25a + 1.5b + c = 22

Solving the system:  a = -16, b = 36, c = 4

y = -16x² + 36x + 4

When x = 1.7, y = -16·1.7² + 36·1.7 + 4 = 18.96 ft

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Show that the following number is rational: 7.526262626... show all work, discrete math
Lemur [1.5K]

x=7.5\overline{26}\\10x=75.\overline{26}\\1000x=7526.\overline{26}\\1000x-10x=7526.\overline{26}-75.\overline{26}\\990x=7451\\x=\dfrac{7451}{990}

It can be expressed as a fraction with integer numerator and denominator, so it's a rational number.

6 0
3 years ago
There were 15 students running in a race. How many different arrangements of first, second, and third place are possible?
viktelen [127]

Answer:

The area 2730 possible arrangements of first, second, and third place.

Step-by-step explanation:

The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

3 from a set of 15. So

P_{(15,3)} = \frac{15!}{(15-3)!} = 2730

The area 2730 possible arrangements of first, second, and third place.

7 0
4 years ago
A sweater is marked down from 25 to 19 what is the percent of change
kenny6666 [7]
31.578 % change from 25 to 18
6 0
3 years ago
Read 2 more answers
Which symbol will make the number sentence true?
Oksanka [162]

Answer:

<

Step-by-step explanation:

8/11=0.72727272727272727272727272 just repeated over and over again so its less

4 0
3 years ago
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7x + 5y = -13
Lady bird [3.3K]

Answer:

x=14/39, y=-121/39. (14/39, -121/39).

Step-by-step explanation:

7x+5y=-13

-2x-7y=21

---------------

2(7x+5y)=2(-13)

7(-2x-7y)=7(21)

------------------------

14x+10y=-26

-14x-49y=147

------------------

-39y=121

y=121/-39

y=-121/39

-2x-7(-121/39)=21

-2x+847/39=21

-2x=21-847/39

-2x=819/39-847/39

-2x=-28/39

2x=28/39

x=(28/39)/2

x=(28/39)(1/2)

x=28/78

simplify

x=14/39

4 0
3 years ago
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