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2 years ago

Which set of ordered pairs represents a function

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

3 0

Answer:

C: is a function because each input (x) has exactly one output( y).

Step-by-step explanation:

A function is when one input (x) has exactly one output (y).

A: is not a function because -4 is paired with two different y values.

B: is not a function because -4 is paired with two different y values.

C: is a function because each input (x) has exactly one output( y).

D: is not a function because -1 is paired with two different y values.

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A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

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3 years ago

Jasmine's dessert takes 3½ minutes to cook in the microwave. <br><br> How many seconds is this?

LenKa [72]

The answer will be 210 seconds. 60 X 3 = 180+ 30= 210

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2 years ago

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At a school assembly four out of the first 10

Ilya [14]

Answer:

125

Step-by-step explanation:

Well if 10 x 50 is 500 (just to show how you get doesn't affect problem) you would simply divide by 4 thus, you get 125 (edit: sorry if this is wrong I'm in my first year of middle lol)

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2 years ago

Kim works as a server in a restaurant. She is serving the table where a group of her friends are eating. Her friends always tip

miv72 [106K]

The answer is $3.54. 15% of $23.60 is $3.54.

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2 years ago

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What value of b will cause the system to have an infinite number of solutions?

garri49 [273]

In order for the system to have an infinite number of solutions, both equations must be identical. So, the value of b must be 6

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2 years ago