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serg [7]
3 years ago
12

A water balloon is 5 feet above the ground when Sally launches it into the air. Use the quadratic equation 0 = -t2 + 4t + 5 to f

ind how much time, t, it takes for the water balloon to reach the ground.
Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer:

2-sqrt14/2, 2+sqrt13/2.

Step-by-step explanation:

What you do is you have to do the quadratic equation like it says in the problem.

x=  −b± sqrtb^2 −4ac /2a .

a=-2, b=4, c=5.

x=-4±sqrt(4)^2-4(-2)(5)/2(-2).

x=-4±sqrt16+40/-4.

x=-4±2sqrt14/-2.

2-sqrt14/2, 2+sqrt13/2. is your answer once you have done everything.

​  

​

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After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to
gladu [14]

Answer:

<em> y = 4.25x</em>

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

<em>Hence the required equation is y = 4.25x</em>

<em></em>

8 0
3 years ago
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.
Andrei [34K]

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

7 0
2 years ago
2 6 unit squares each have of their area shaded. 3 What is the total area that is shaded? square units​
Kobotan [32]

Answer:

6

Step-by-step explanation:

The area of each of the squares is 3. There's 2 so it's 6.

4 0
3 years ago
Central sub made 27 sandwiches useing 12 pounds of turkey how much turkey per sandwich?
zhannawk [14.2K]
12 pounds divided up between 27 sandwiches is 0.44 pounds for each sandwich. 12/27=0.44
7 0
3 years ago
The coefficients of the like terms in the expression 4x2+2x-3x2 are
vladimir1956 [14]
4, 2, and 3 are your coefficients
4 0
3 years ago
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