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2 years ago

If g:x = 2x-3 4 find 9^-1 (-3)

1 answer:

8 0

The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.

<h3>What is inverse of a function?</h3>

Let the function will be

f: X → Y

Then the inverse function will be

f⁻¹: Y → X

The function is given below.

g(x) = (2x – 3) / 4

Then the inverse function of g(x) will be

g⁻¹(x) = (4x + 3) / 2

Then the value of the inverse function, at x = -3, will be

g⁻¹(-3) = [4(-3) + 3] / 2

g⁻¹(-3) = -4.5

Learn more about inverse function here:

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find the first and second differences of y values to determine if the table will derive to a quadratic function

Nadya [2.5K]

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3 years ago

In a batch of 100 parts, 40 are red, 50 are L-shaped and 22 are both red and L-shaped. What is probability that a part picked fr

Bogdan [553]

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Step-by-step explanation:

Let us revise some rules of probability

The addition rules are:

P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)

∵ A batch has 100 parts

∵ 40 are red

- Probability of an event is the [even occurs/total outcomes]

∴ P(red) = $\frac{40}{100}=0.4$

∵ 50 are L-shaped

∴ P(L-shaped) = $\frac{50}{100}=0.5$

∵ 22 are both red and L-shaped

∴ P(red and L-shaped) = $\frac{22}{100}=0.22$

This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule

∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)

∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22

∴ P(red or L-shaped) = 0.68

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Learn more:

You can learn more about the probability in brainly.com/question/2254182

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3 years ago

1. Find four consecutive even integers such that the sum of the first and third is 6 less than the largest

KiRa [710]

1. Let the first integer be represented by: 2k

the second integer by: 2(k+1)

the third integer by: 2(k+2)

and the fourth by: 2(k+3)

Then, 2k + 2(k+2) = 2(k+3) - 6

2k + 2k + 4 = 2k + 6 - 6

4k + 4 = 2k

4 = -2k

-2 = k

Answer: -4, -2, 0, 2

******************************************************************

2. Let the first integer be represented by: 2k+1

the second integer by: 2k+3

the third integer by: 2k+5

and the fourth by: 2k+7

Then, 2k+7 = (2k+1) + (2k+3) + (2k+5) + 2

2k + 7 = 6k + 11

-4 = 4k

-1 = k

Answer: -1, 1, 3, 5

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3 years ago

A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.48 lb, the mean of all of the weight

larisa [96]

Answer:

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Step-by-step explanation:

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3 years ago

9. Which set of ordered pairs represents y as a Function of x?

Oksana_A [137]

Answer: C because x doesnt repeat itself in the X spot

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3 years ago

If g:x = 2x-3 4 find 9^-1 (-3)​

If g:x = 2x-3 4 find 9^-1 (-3)