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Gala2k [10]
3 years ago
13

(HELP PLEASE) The inverse of F(x) is a function.

Mathematics
2 answers:
kirza4 [7]3 years ago
4 0
True coz it passes the horizontal line test
Alex73 [517]3 years ago
3 0
A. True...... ............ .......
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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.

6 0
3 years ago
Plssss help
mash [69]

Answer:I dont know but i think it is 1/2

Step-by-step explanation:

hope this helps

6 0
2 years ago
HELP !!!!!!!!!! What percent and degrees of the pie have been eaten?
Fofino [41]

Answer:

About 1/5 or 20%

Step-by-step explanation:

If the pie is cut in slices equal to the one eaten, there will be 5. And since one is eaten there are 4/5 left, or 1/5 taken.

7 0
3 years ago
·<img src="https://tex.z-dn.net/?f=3%5Csqrt%7B10%7D%5C%20times%20-6%5Csqrt%7B30%7D" id="TexFormula1" title="3\sqrt{10}\ times -6
Anton [14]

Answer:

-180√3

Step-by-step explanation:

3√10 x - 6√30

= 3x-6 x -√10 x √30

= -18 x√300

= -18 x 10√3

= -180√3

3 0
2 years ago
Write a function rule for the table.
egoroff_w [7]
F(x)=8x, because if you divide the money per hour you get the rate which is $8
8 0
3 years ago
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