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IRINA_888 [86]
3 years ago
15

Write the equation of the line with the given point and slope. (0, 3); slope = -2

Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

y-2x+3

Step-by-step explanation:

use the y=mx+b formula

plug in 0 for x

plug in 3 for y

and -2 for m

3=-2(0)+b

-2*0=0

3=0+b

subtract 0 on both sides

3=b

y=-2x+3

hope this makes sense and helps

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Please help with 32 and 33, thank you.
PtichkaEL [24]

Answer:

32. ∛((x-7)/4) = f^(-1)(x)

33. -10x - 9

Step-by-step explanation:

32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.

x = 4f(x)³ + 7

subtract 7 from both sides

x -7 = 4f(x)³

divide both sides by 4

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make f(x) f^(-1)(x) because this is now the inverse

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the second answer is correct

33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in

2(-5x-7) + 5

expand

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the second answer is correct

4 0
3 years ago
Halfway through the third quarter, how much of the game is left?
k0ka [10]
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8 0
3 years ago
Please see attachment for the question and answer choices.
Triss [41]

Answer:

  about 81 years

Step-by-step explanation:

A graphing calculator can give you the answer easily.

__

You can solve the problem algebraically by putting in the given number and solving for t.

  30000 = 32000/(1 +12.8e^(-.065t))

  12.8e^(-.065t) = (32000/30000) -1 = 1/15

  e^(-.065t) = 1/(15·12.8) = 1/192 . . . . . divide by 12.8

  -0.065t = ln(1/192) ≈ -5.257 . . . . . .  take the natural log

  t = -5.257/-0.065 ≈ 80.88 . . . . . . . .divide by the coefficient of t

It will take about 81 years for the number of trees to reach 30,000.

3 0
3 years ago
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