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marshall27 [118]
3 years ago
5

Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the follow

ing equation models the path of the basketball y=-x^2+4x+5 where x is the elapsed time in seconds.
Pls help, also do i find how long and how high the ball reached or how long it took the basketball to reach the ground. Please answer them as well. Thank you so much.
Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

y = 9 at x = 2 seconds

y = 0 at x = 5 seconds

Step-by-step explanation:

y=-x^2+4x+5

First find the zeros

0 =-x^2+4x+5

0 = -(x^2 -4x -5)

What 2 numbers multiply to -5 and add to -4

-5*1 = -5

-5+1 = -4

0 = -(x-5)(x+1)

x-5 =0    x+1 =0

x=5  x =-1

The vertex is 1/2 way between the two zeros

(5+-1) /2 = 4/2 =2

The vertex is at x=2

The maximum value of y is when x=2

y = -(2)^2 +4(2) +5

y = -4+8+5

y = 9

The ball will hit the ground at x = 5 seconds

You might be interested in
Math
lozanna [386]

Answer:

1. x=6

2. C <-26

3. p<6

4. -5x-44

Step-by-step explanation:

1. 2x = 3(x-2) - 3(x-6)

Distribute

2x= 3x-6 -3x+18

Combine like terms

2x =12

Divide by 2

2x/2 =12/2

x=6


2. C+6<-20

   Subtract 6 from each side

C+6-6 < -20-6

C <-26


3. -5p > -30  

Divide by -5.  Remember to flip the inequality when dividing by a negative

-5p/-5 < -30/-5

p<6


4. -4 - 5(X+8)

Distribute

-4 -5x-40

Combine like terms

-5x-44

6 0
3 years ago
help. If 20 men can survive for 24 days on 15 cans of rations, how many cans will be needed for 16 men to survive for 36 days?
Semmy [17]

Answer: 29 cans.

Step-by-step explanation:

20 can survive 24 days with 15 cans.

If X is the number of days that a man can survive with one can of rations.

so X is in the units can/day

then we have that:

24/15*X = 20

X = 20*15/24 = 12.5

This means that a man can live 12.5 days with a can of food.

then, for 16 men and 36 days we have:

(36/C)*12.5 = 16

C = (36/16)*12.5 = 28.1215

And we can not have a 0.1215 of a can, so we should round it up to 29 cans.

4 0
2 years ago
Please help me and fast
umka21 [38]
The answer is 17.3 :)
7 0
3 years ago
Please help me solve this!
Luba_88 [7]

Answer:

Step-by-step explanation:

A complete circle has 360 degrees

So

300 + 32 + b = 360               Combine the left

332 + b = 360                       Subtract 332 from both sides

b = 360 - 332

b = 28

6 0
2 years ago
Please helped this is for my math final.
hammer [34]

Answer:

[-8,8]

Step-by-step explanation:

6 0
2 years ago
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