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Vaselesa [24]
3 years ago
9

The function f(x) = 3x − 2 represents the altitude of a hot air balloon, where x is the time in minutes. The function g(x) = x2

− 1 represents the time in minutes, where x is the height in thousands of feet of the hot air balloon. What is the value of f[g(5)]?
Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

70

Step-by-step explanation:

If g(x) =x^2 -1, then

f[g(5)] = 3*(5^2-1) -2 =72-2= 70

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4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p
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Answer:

Point E is given by \left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

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Let points C and D be (x_0,y_0),\,(x_1,y_1) and let point E divides it in ratio m:n.

Then coordinates of point E are given by \left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )

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Point E is given by \left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

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Download pptx
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