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riadik2000 [5.3K]
3 years ago
14

You are playing tennis with a friend.The path of the tennis ball after you return to a serve can be modeled by the function y=-0

.005x^2 + 0.17x + 3, where X is the horizontal distance (in feet) from where you hit the ball and Y is the height (in feet) of the ball. Question 1. (what is the maximum height of the tennis ball) Question 2. (You are standing 30 feet from the net, which is 3 feet high.Will the ball clear the net? Explain your reason.)
Mathematics
1 answer:
Ivahew [28]3 years ago
4 0
#1) 4.445 ft
#2) yes

Explanation
#1) The maximum height is the y-coordinate of the vertex.  We first find the axis of symmetry, given by x=-b/2a:

x=-0.17/2(-0.005) = -0.17/-0.01 = 17

Plugging this into the equation,
y=-0.005(17²)+0.17(17)+3 = 4.445

#2) Substituting 30 into the equation,
y=-0.005(30²) + 0.17(30) + 3 = 3.6

The ball will 3.6 in the air, so yes, it will clear the 3 ft tall net.
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A triangle has an area of 36 square units. Its height is 9 units.
Black_prince [1.1K]
Well area of a triangle is
\frac{1}{2} b \times h
so,
36 \times 2 = 72 \\ 72  \div 9 = 8
The answer is 8
8 0
3 years ago
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F(x)=2x an$ g(x)=2x+3,what is the value of f(g(-8))
Fudgin [204]

First plug in g(x) into f(x)

F((g(x))=2(2x+3)

And now you plug in -8

F(g(-8))=2(-16+3)

F(g(-8))=2(-13)

F(g(-8))=-26

6 0
3 years ago
Assume the probability of having a boy or a girl is the same. What is the probability a family has three boys?
almond37 [142]
The probability of having a boy: 1/2

1/2(1/2)(1/2)=1/8

The probability of a family having three boys is 1/8.

Hope this helps!
3 0
3 years ago
If y varies directly as x and y=32 when x=4. find the constant of variation​
Llana [10]

Answer:

k = 8

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 32 when x = 4, then

32 = 4k ( divide both sides by 4 )

8 = k

7 0
3 years ago
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What is the equation of the line on the graph with points (-2,2) and (-2,-3)
nika2105 [10]

Answer:

x=-2

Step-by-step explanation:

Given points are (-2,2) and (-2,-3).

Now we need to find equation of the line passing through the given points.

So let's begin by finding slope

m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}=\frac{\left(-3-2\right)}{\left(-2-\left(-2\right)\right)}=\frac{\left(-5\right)}{\left(-2+2\right)}=-\frac{5}{0}

which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.

Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.

x-coordinate is -2 in given points.

Hence final equation is x=-2.

4 0
3 years ago
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