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elena55 [62]
3 years ago
13

A water balloon is tossed into the air with an upward velocity of 25ft/s. Its height H(t) in ft after t seconds is given by the

function h(t) = - 16t^2 + 25t + 3. Show your work
19. After how many seconds will the balloon hit the ground? (hint: Use the quadratic formula)


20. What will the height be at t = 1 second

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0
19. It notes or hints to using the quadratic formula because the equation can not be solved by factoring alone. Thus you must use the quadratic formula.
A=-16 B=25 C=3
It is so hard to type a normal equation let alone one of the quadratic formula so I will just attach a picture instead.
However you will end up getting two roots/zeros/x-intercepts of -0.11 and 1.67.
However since it is an application question asking for answers only in the first quadrant you must choose the positive x-intercept.
Therefore the water balloon will land at 1.67 seconds.

20. This question is very simple as it asks you to find a height at a given time. You simply put the given time (1second) into the equation and get your answer.
h=-16(1)^2+25(1)+3
h=12

Also don't mind my little scribble there. :)

You might be interested in
How old am I if 400 reduced by 2 times my age is 244?
lora16 [44]
If A is your age:
400 - 2A = 244
2A = 400 - 244
2A = 156
A = 78
5 0
3 years ago
Grant earns $5 for each magazine he sells.Write an equation in two variables showing the relationship between the number pf maga
slega [8]

Answer:

A=5m

Grant will make $60 from selling 12 magazines.

Step-by-step explanation:

Let m represent number of magazine sold and A represent amount of money earned.

We have been given that Grant earns $5 for each magazine he sells. So amount earned from m magazines would be 5 times m that is 5m dollars.

Now, we will equate total amount earned by Grant with A as:

A=5m

Therefore, our required equation would be A=5m.

To find the amount earned by Grant by selling 12 magazines, we will substitute m=12 in our equation as:

A=5(12)

A=60

Therefore, Grant will make $60 from selling 12 magazines.

3 0
3 years ago
Need to be able to check this assignment for my son and I have no clue how to make sure it's correct anyone?
saw5 [17]

Answer:

it is correct

Step-by-step explanation:

4 0
3 years ago
Use the Distributive Property to simplify the expression. (8⋅7)+(8⋅5)
yawa3891 [41]

Answer:

56 + 40

Step-by-step explanation:

multiply what is in the parenthesis, don't solve all the way because the instructions say to <em>simplify</em><em>.</em>

7 0
2 years ago
35-40 first with the correct answers will get brainliest
serious [3.7K]

Answer:

35.w/g=m

36. P=1/2Q-15

37. R=IV

38. b=-mx+y

39. a) t=-d-e+f

     b) t=19.175

40. No, X=-2.4

Step-by-step explanation:

Explanation for 40:

2(x-4)-4x=-6x+9x+4

first do the parentheses

2x-8-4x=-6x+9x+4

next combine like terms

-2x-8=3x+4

add 2x to each side

-8=5x+4

subtract 4 from each side

-12=5x

divide both sides by 5

x=-2.4

7 0
3 years ago
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