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Alex777 [14]
3 years ago
15

For the function f(x)=x+9/7-4x find f^-1(x)

Mathematics
1 answer:
Liula [17]3 years ago
3 0

Answer:

Step-by-step explanation:

f(x)=\frac{x+9}{7-4x} \\put ~f(x)=y\\flip~x~and~y\\f(y)=x\\y=f^{-1}(x)\\y=\frac{x+9}{7-4x} \\flip~x~and~y\\x=\frac{y+9}{7-4y} \\x(7-4y)=y+9\\7x-4xy=y+9\\-4xy-y=9-7x\\or\\4xy+y=7x-9\\y(4x+1)=7x-9\\y=\frac{7x-9}{4x+1} \\or~f^{-1}(x)=\frac{7x-9}{4x+1}

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A model rocket is launched with an initial velocity of 250 ft per second. The height h, in feet, of the rocket t seconds after t
diamong [38]

9514 1404 393

Answer:

  {2.96, 12.66}

Step-by-step explanation:

A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.

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You can solve the equation h = 600 to find the times.

  -16t^2 +250t = 600

  -16(t^2 -15.625t) = 600

  -16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)

  -16(t -7.8125)² = -376.5625

  t -7.8125 = √(376.5625/16) ≈ ±4.8513

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The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.

4 0
3 years ago
A class of 32 students contains 15 boys.
LiRa [457]

Answer:

11 boys walk to school each day

Step-by-step explanation:

<em>*The following will be assumed: the only genders of students in the class are male or female; the only options for getting to school are walking or not walking</em>

If there are 32 students in the class total, and there are 15 boys,

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there are 17 girls.

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So, if 20 total students walk to school, and 9 of those are girls

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3 0
2 years ago
Read 2 more answers
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drek231 [11]

Answer:

Step-by-step explanation:

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34kurt

Answer:

ok, $65+$50+$8=123

Step-by-step explanation:

4 0
3 years ago
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