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Svetradugi [14.3K]
3 years ago
5

The output equals 1 less than three times the input

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

Complete Question:

The output equals 1 less than three times the input

Write and solve any equation to find input when the output is -3

Answer:

y = 3x - 1

x = -⅔ when y = -3

Step-by-step explanation:

Given

Represent the input with x and the output with y.

First, we need to write out the output as a function of the input.

[Three times the input] implies 3 * x

[1 less than this] implies 3*x - 1

The above expression is said to be the output.

So,

y = 3 * x - 1

y = 3x - 1

The next part of the question is to solve for x when y = -3

Substitute -3 for y in y = 3x - 1

-3 = 3x - 1

Collect Like Terms

3x = 1 - 3

3x = -2

Solve for x

x = -⅔

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Bingel [31]

Answer:

\frac{4+8-2}{6-4}*3-1=\frac{12-2}{2}*3-1\\\\=\frac{10}{2}*3-1=5*3-1=15-1=14

Step-by-step explanation:

8 0
3 years ago
Help me.A towns population went from 25,800 people to 48,200 people in ten years. What is the percent
solong [7]

The percent increase in population is: 87%

Further explanation:

The percent change is given by:

Percent\ increase=\frac{Increase}{Original\ number}*100

Given

Population before 10 years = 25800 people

Population after 10 years= 48200 people

Increase=48200-25800=22400\ people

Putting the values in the formula:

Percent\ Increase=\frac{22400}{25800}*100\\=0.8682*100\\=86.82\%\\Rounding\ off\ to\ nearest\ percent\\87\%

The percent increase in population is: 87%

Keywords: Percentage, Population

Learn more about percentage at:

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3 0
3 years ago
How do I factor this? <br> 5x^2y+45x^3y^2
ruslelena [56]

Answer:

5 x^2 y (9 x y + 1)

Step-by-step explanation:

Factor the following:

45 x^3 y^2 + 5 x^2 y

Factor common terms out of 45 x^3 y^2 + 5 x^2 y.

Factor 5 x^2 y out of 45 x^3 y^2 + 5 x^2 y:

Answer: 5 x^2 y (9 x y + 1)

8 0
2 years ago
The city of Raleigh has 10400 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe
iVinArrow [24]

Answer:

Step-by-step explanation:

Hello!

a) The population of interest is the registered voters of the city of Raleigh.

b) This population is finite and its size is 10400 voters.

c) The sample was taken by making a telephone poll, calling 400 registered voters.

d) The sample size is n= 400 voters

The number of people that answered they'd vote for Brown are 151, so the sample proportion of voters that would vote for bron is:

p= 151/400= 0.3775 ≅ 0.38

e) To know how many people is expected to vote for Brown based on the results of the telephone poll you can do the following calculation:

10400*0.38= 3952

Based on the information obtained from the sample, it is expected that only 3952 voters will vote for Brown.

4 0
3 years ago
What is 11% of 600?<br><br> 80<br> 45<br> 60<br> 66
Tresset [83]

Answer:

66 is the answer to your question

5 0
3 years ago
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