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AlekseyPX
3 years ago
14

Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t mod

els the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground again?
A: 1 second after the ball is thrown

B: 2 seconds after the ball is thrown

C: 3 seconds after the ball is thrown

D: 4 seconds after the ball is thrown
Mathematics
2 answers:
iren2701 [21]3 years ago
7 0
When the ball reaches the ground is equal to one of the zeros, or x-intercepts. In order to find the zeros of a function, you need to factor the equation.
y=16x^2+64x
y=-16x(x-4)
The zeros are x=0 and x=4
Therefore the answer is D, after 4 seconds.
Hope this helps!
avanturin [10]3 years ago
3 0
The answer would be 4 seconds
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4 0
3 years ago
Amanda has 4 liters of juice and some glasses. She will pour 1/4 liter of juice into each glass. What is the total number of gla
scZoUnD [109]

Answer:

16 glasses

Step-by-step explanation:

If 1 glass = 1/4 liter of juice

then 16 glasses = 4 liters of juice

because 4 divided by 1/4 = 16

8 0
3 years ago
A boat travels for 7 hours. if it travels 4 hours downstream and 3 hours upstream. ten t covers a distance of 116 km. but if it
nadya68 [22]
Speed = Distance / Time
Distance = Speed*Time

For this problem, we should bear in mind that current speed has an impact on the boat speed...

for upstream, the boat goes against the current, and so its speed is

U = V - C

where V is the speed of the boat
C is the current speed

for downstream, it will be:

D = V + C

Convert the problem into mathematical equations:

4D + 3U = 116
3D + 4U = 108

4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116

3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108

Solving the equations:

7V + C = 116
7V - C = 108

14V = 224
V = 16km/hr —-> speed of boat

to get C:
7(16) + C = 116
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5 0
4 years ago
Jenna uses 18 inches of ribbion for each box she wraps how many yards of rib ion does she need to wrap 4 boxes
Sav [38]
Hello Myeisha91! 

First we need to find how many inches in total to wrap 4 boxes. We do that by multiplying 18 x 4 = 72 so Jena needs 72 inches. The question wants to know how many yards so we need to convert 72 inches into yards. We can convert inches to yards by using a conversion factor. We know that 1 inch = 0.0277778 yd. Now that we know  1 inch = 0.0277778 yd, lets convert the 72 inches to yards.

We convert 72 in to yards by multiplying 72 in by \frac{0.0277778\;yd}{1\; in}
72\;in\times\frac{0.0277778\; yd}{1\;in} = 2\; yd
So Jenna will need 2 yards to wrap 4 boxes.
6 0
3 years ago
Find an equation of the line perpendicular to the graph of 15x-3y = 7that passes through the point at 0,
AlekseyPX

Answer:

5y + x = 5c

Step-by-step explanation:

Rewriting the equation, 15x - 3y = 7,

3y = 15x - 7

y = 5x - 7/3. The gradient is 5. The gradient of the perpendicular line is -1/5

The equation of the perpendicular to 15x - 3y = 7 passing through (0,c) is

(y - c)/(x - 0) = -1/5

(y - c)/x = -1/5

y - c = -x/5

y = -x/5 + c

5y = -x + 5c

5y + x = 5c

7 0
3 years ago
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