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Blizzard [7]
3 years ago
10

Phillp charges $8 the first time he walks a dog and $2 per walk after that. Carrie charge $2 the first time he walks a dog and $

3 per walk after that. Write the system of equations
Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0

Answer:

8 + 2 * X = P

2 + 3 * X = C

Step-by-step explanation:

By means of the statement we have to:

Phillp case: "Charges $ 8 the first time he walks a dog and $ 2 per walk after that" that is:

P = 8 + 2 * X

Where X would be the number of walks.

Carrie case: "Charge $ 2 the first time he walks a dog and $ 3 per walk after that" That is:

C = 2 + 3 * X

Where X would be the number of walks.

Therefore the equation system would be:

8 + 2 * X = P

2 + 3 * X = C

P and C earnings of Phillp and Carrie respectively.

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A man hits a baseball when it is 4 ft above the ground with an initial velocity of 120 ft/sec. The ball leaves the bat at a 30 d
Sauron [17]
<span>et us assume that the origin is the floor right below the 30 ft. fence

To work this one out, we'll start with acceleration and integrate our way up to position.

At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.

To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60

To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4

If the ball clears the fence, it means x = 0, y > 30

x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds

for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft

which is less than 30ft, so it means that the ball will NOT clear the fence.


Just for fun, let's check what the speed should have been :)

x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4

x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s

v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s

So he needed to hit the ball at at least 123.34 ft/s to clear the fence.

You're welcome, Thanks please :)
</span>
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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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3 Which ordered pair is the solution of<br> the system graphed below?
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Answer:

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