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ivann1987 [24]
3 years ago
13

If f(x) and f⁻¹(x) are inverse functions of each other and f(x)=2x+5, what is f⁻¹(8)?

Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer:

3/2.

Step-by-step explanation:

f(x)=2x+5   Finding the inverse:

y = 2x + 5

2x = y - 5

x = (y - 5)/2

So the inverse f-1(x) = (x - 5)/2

and f-1(8) = (8-5)/2

= 3/2.

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What is the sum of the first seven terms of the geometric series 2 - 10 +50 -...?
Umnica [9.8K]

Answer:

26042.

Step-by-step explanation:

What's the first term of this geometric series?

2.

What's the common ratio of this geometric series?

Divide one of the terms with the previous term. For example, divide the second term -10 with the first term 2.

\displaystyle r = \frac{-10}{2} = -5.

What's the sum of this series to the seventh term?

The sum of the first n terms of a geometric series is:

\displaystyle a_1 \cdot \frac{1-r^{n}}{1-r},

where

  • a_1 is the first term of the series,
  • r is the common ratio of the series, and
  • n is the number of terms in this series.

\displaystyle 2 \times\frac{1- (-5)^{7}}{1- (-5)}=26,042.

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4 years ago
How do you specify that y = 8x + C× is a general solution of the PD ./dy/dx − y = 6 (4 − x)?
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Answer:

I'm not sure but thank you and have a Merry Christmas

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3 years ago
Read 2 more answers
Ethan plotted points E, F, G, H, and I on a number line, as shown below. Which two points that Ethan plotted represent numbers t
nirvana33 [79]

Answer:

F and H

Step-by-step explanation:

From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:

a + (-a) = 0

From the points, F is the additive inverse of H, hence:

F + H = 0

6 + (-6) = 6 - 6 = 0

Hence the two points are F ad H

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The probability that a certain machine will produce a defective item is 0.20. if a random sample of 20 items is taken from the o
GenaCL600 [577]
Use binomial distribution, with p=0.20, n=20, x=3
P(X=x)=C(n,x)p^x (1-p)^(n-x)

P(X>=3)
=1-(P(X=0)+P(X=1)+P(X=2))
=1-(C(20,0)0.2^0 (0.8)^(20-0)+C(20,1)0.2^1 (0.8)^(20-1)+C(20,2)0.2^2 (0.8)^(20-2))
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4 years ago
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