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Aliun [14]
3 years ago
13

Write the equation of a line that is parallel to the line y=4x+2 and passes through the point (4,1)

Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

y = 4x-13

Step-by-step explanation:

The standard equation of the line is y = mx+c

m is the slope

c is the intercept

Given the equation y = 4x+2

The slope m = 4

Substitute m = 4  and the given point into the formula y = mx+c

1 = 4(4)+c

1 = 14+c

c = -13

Get the equation

Recall that y = mx+c

y = 4x + (-13)

y = 4x-13

Hence the required equation is y = 4x-13

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How do I express y in terms of x?
Dmitrij [34]

Answer:

Solve for ‘y' means, solve the equation to get the value of y.

And in terms of x , means, value of y not necessarily in pure constant form, but in the form of x.

Step-by-step explanation: Here's an example

3y +x = 7

=> y = (7-x)/3

5 0
3 years ago
A mattress store is having a sale all mattresses are 30% of. Nate wants to know the sale price of a mattress that is regularly $
koban [17]

Answer: $700

Step-by-step explanation:

The store is selling at 30% off.

If a mattress is $1,000, first find out what 30% of $1,000 is:

= 1,000 * 30%

= $300

The store is selling 30% off, this means that they are reducing the price by 30%:

= 1,000 - 300

= $700

5 0
3 years ago
It has been estimated that 72.7% of alcoholics need professional help to stop drinking. What is the probability that a random al
Svetradugi [14.3K]

The probability that a random alcoholic can kick the habit without professional help is 0.273 .

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that

The alcoholics that need professional help to stop drinking is 72.7 %

Therefore the probability of this is 72.7 /100 = 0.727

The probability that they will not need professional help is given by

q = 1 - p

q = 1 -0.727

q = 0.273

Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .

To know more about Probability

brainly.com/question/11234923

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5 0
2 years ago
What is f[g(3)] for the following function? <br> f(x) = 4x2 − 3<br><br> g(x) = 5x − 2
lukranit [14]

Answer:

673

Explanation:

  • f(x) = 4(x)² − 3
  • g(x) = 5(x) − 2

solve:

  • f[g(3)]
  • f(5(3) − 2)
  • f(13)
  • 4(13)² − 3
  • 673
8 0
2 years ago
Read 2 more answers
The perimeter of a regular pentagon is 41.5 cm. Write and solve an equation to determine the length of each side of the pentagon
Sveta_85 [38]

Answer:

41.5÷5= the answer 8.3 cm

5 0
3 years ago
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