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3 years ago

What is the inverse of the equation y = 3x + 2?

Mathematics

1 answer:

Anna71 [15]3 years ago

4 0

Answer: y = (x-2)/3

This is equivalent to y = (1/3)x - 2/3

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To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.

y = 3x+2

x = 3y + 2 ... x and y swapped

x-2 = 3y

3y = x-2

y = (x-2)/3

y = x/3 - 2/3

y = (1/3)x - 2/3

This final equation has slope 1/3 and y intercept -2/3

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Data Set #1

Harman [31]

Answer:

The data table is attached below.

Step-by-step explanation:

The average of a set of data is the value that is a representative of the entire data set.

The formula to compute averages is:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

Compute the average for drop 1 as follows:

$\bar x_{1}=\frac{1}{3}\times[10+11+9]=10$

Compute the average for drop 2 as follows:

$\bar x_{2}=\frac{1}{3}\times[29+31+30]=30$

Compute the average for drop 3 as follows:

$\bar x_{3}=\frac{1}{3}\times[59+58+61]=59.33$

Compute the average for drop 4 as follows:

$\bar x_{4}=\frac{1}{3}\times[102+100+98]=100$

Compute the average for drop 5 as follows:

$\bar x_{5}=\frac{1}{3}\times[122+125+127]=124.67$

The data table is attached below.

3 0

3 years ago

Solve the following equation. Then place the correct mixed number in the box provided. 5x/7=22

natka813 [3]

We have that
<span> 5x/7=22
multiply by 7 both sides
5x=22*7-------> 5x=154
divide by 5 both sides
x=154/5
x=30.8--------> x=30 4/5

the answer is
x=30 4/5</span>

7 0

3 years ago

1. What is the y-inter slope of the graph? What does it mean in terms of this situation?

notka56 [123]

Answer:

1. the y-intercept is 9.5 and it means the starting length of the candle

2. the slope is -1/2 and it means that the candle burns 1/2 an inch every hour

3. it burns an inch every 2 hours, it is 9.5 inches long, so 19 hours it'll take to burn.

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liq [111]

Answer:

D because 4*5 is 20

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lapo4ka [179]

Just subtract 45 - 28 = 17 lollipops

Hope this helps!!!

4 0

4 years ago

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