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IRINA_888 [86]
2 years ago
5

Find an input that yield an output of -1 rule y=-2x+33

Mathematics
1 answer:
djyliett [7]2 years ago
3 0

Input (x-value)

Output (y-value)

You need to find the x-value that produces a y-value of -1. Since you know:

y = -1       Use the rule, and substitute/plug this into the equation

y = -2x + 33       Plug in -1 for "y" in the equation since y = -1

-1 = -2x + 33        Subtract 33 on both sides

-1 - 33 = -2x + 33 - 33

-34 = -2x      Divide -2 on both sides to get "x" by itself

\frac{-34}{-2}=\frac{-2x}{-2}

17 = x

An input of 17 yields an output of -1

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olchik [2.2K]

Answer:

f(x) and g(x) are inverse functions

Step-by-step explanation:

In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then

f(x) and g(x) are inverse functions

Let us use this rule to solve the question

∵ f(x) = 3x²

∵ g(x) = \sqrt{\frac{x}{3}}

→ Find f(g(x)) by substitute x in f(x) by g(x)

∴ f(g(x)) = 3(\sqrt{\frac{x}{3}})²

→ Cancel the square root with power 2

∴ f(g(x)) = 3(\frac{x}{3})

→ Cancel the 3 up with the 3 down

∴ f(g(x)) = x

→ Find g(f(x)) by substitute x in g(x) by f(x)

∴ g(f(x)) = \sqrt{\frac{3x^{2}}{3}}

→ Cancel the 3 up with the 3 down

∴ g(f(x)) = \sqrt{x^{2}}

→ Cancel the square root with power 2

∴ g(f(x)) = x

∵ f(g(x)) = g(f(x)) = x

→ By using the rule above

∴ f(x) and g(x) are inverse functions

5 0
2 years ago
Susan keeps track of the high and low temperatures every day for a week. The following table shows her data what is the average
uysha [10]

Answer:

10.75

Step-by-step explanation:

To get the average, we always SUM UP all the numbers and divide by the number of numbers.

We do this for "change" row since we want average of "change".

Let's add up all the changes:

11 + 12 + 10 + 10 + 11 + 10 + 11 = 75

How many numbers are there?

There are 7 numbers

Now, the average:

Average = Sum/Number of Numbers

Average = \frac{75}{7}=10.75

The average = 10.75

4 0
3 years ago
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likoan [24]

<u>Answer:</u>

The correct answer option is 0.2.

<u>Step-by-step explanation:</u>

We are given that there are 3 red marbles and 3 green marbles in an opaque bag.

If two marbles are chosen one after one without replacement, we are to find the probability of getting both green marbles.

P (1st green marble) = \frac { 3 } { 6 }

P (2nd green marble) = \frac { 2 } { 5 }

P (both green marbles) = \frac { 3 } { 6 } \times \frac { 2 } { 5 } = 0.2

6 0
3 years ago
8.5 x 10-2 what is the scientific notation of this?
Butoxors [25]

Answer: 0.085

Step-by-step explanation:

Assuming you mean 10 to the power of -2, shift the decimal point two places to the left.

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2 years ago
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Answer:

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Step-by-step explanation:

4 0
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