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Anon25 [30]
3 years ago
9

Write the slope intercept form of the equation of the line described

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

Hello!

Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.

Now, we first can find the slope. We know the line is parallel to y = 2/5x - 2, and parallel lines <u>always have the same slope.</u> Therefore, we now know that the slope (or m) is 2/5. Substitute that in the equation.

y = 2/5x + b

Finally, we are given a point. We can substitute (-5, -3) into the equation, and then solve for b.

x = -5, y = -3

-3 = 2/5 (-5) + b

-3 = -2 + b

-1 = b

Now, we know what b is. Substitute this into the equation.

Therefore, y = 2/5x - 1 is our final equation.

Hope this helps!

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Find the nth term of this quadratic sequence<br> 3, 11, 25, 45, .
Hoochie [10]

The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Given,

In the question:

The quadratic sequence is :

3, 11, 25, 45, ...

To find the nth term of the quadratic sequence.

Now, According to the question;

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

11-3 = 8

The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

6(\frac{n(n+1)}{2} )

= 3n(n+1)

The sequence's nth term can be calculated as follows:

term = 3n(n+1) - 4n + 1

             = 3n² - n + 1

Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Learn more about Principle of mathematical induction at:

brainly.com/question/29222282

#SPJ1

6 0
1 year ago
Evaluate 4c + 8 when c = 2
Wittaler [7]

Answer:

16

Step-by-step explanation:

4c + 8

Replace 'c' with 2 and evaluate:

4(2) + 8

8 + 8

16

Hope this helps.

8 0
3 years ago
Read 2 more answers
i need help with a math problem right now it says A car rental agency advertised renting a car for $24.95 per day and $0.26 per
Dominik [7]

Answer:

He can drive 481 miles if David rents his car for three days

Step-by-step explanation:

This is true because if you take the 24.95 and multiply it by 3, because he rented it for three days, you'll get 74.85. Then you'll subtract 200 (the total money that can be spent) by 74.85 you'll get 125.15. Divide the remaining number, 125.15 by 0.26 to get 481.34. Take the decimals away because you don't need it, if you want to be sure it's correct you can multiply 481 by 0.26 to get 125.05 which is lower than 125.15 so it good because if you use 482 besides 481 it will be higher than the amount of money David can spend, that's why 481 is the right answer.

5 0
3 years ago
What would be the responsibilities of all these employees in the production of this soup if it was served in a restaurant?
expeople1 [14]

Answer:

Could you add the production of this soup if it was served in a restaurant?

Step-by-step explanation:

I'll answer then

5 0
2 years ago
Help please I'll give brainliest and a vote!!!
fredd [130]

Answer:

Quality Plumbing charges more per hour.

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A Plus Plumbing charges $140 for their work plus $60 per hour.

7 0
2 years ago
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