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professor190 [17]
2 years ago
9

Three food booths will be added. Describe 3 possible locations given by an ordered pair in which y= -1

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
6 0
If your y-coordinate is -1, your answer should be in the form (..., -1). Any x value on the plane that is given (meaning it must be from -4 to 4) can take place of the ...
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AleksAgata [21]

Answer:

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Step-by-step explanation:

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The equation x + c = k has a solution of x = 2. Both cand k are rational numbers.
jeka57 [31]
Chow chill it’s fine
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2 years ago
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The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of
Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

AV = \frac{y(t2) - y(t1)}{t2 - t1}

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii)  t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8

So the average speed is -128.9 ft/s

iii)  t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0
3 years ago
Equation<br> horizontal asymptote<br> vertical asymptote
ira [324]

Answer:

Hello,

In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.

So Horizontal asymptote = 2

For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is

y= 0

Rate positively and give brainlist

3 0
3 years ago
A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones in $36. What is the original p
Mariana [72]

Let the original price of headphone = x

there is 40% discount which is 0.40x

so the payment price will be x-0.40x = 0.60x

Given that paid amount is $36

so both will be equal

0.60x = 36

x=36/0.60

x=60

Hence final answer is $60.

3 0
3 years ago
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