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Harrizon [31]
3 years ago
7

Use the algebraic description (x, y) ➡️ (x - 5, y + 2) for the points N (2, 2), P (4, 2) and Q(1, -1) and write the coordinates

of N', P' and Q'
Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

9514 1404 393

Answer:

  N'(-3, 4), P'(-1, 4), Q'(-4, 1)

Step-by-step explanation:

The transformation is telling you to subtract 5 from each x-coordinate, and add 2 to each y-coordinate.

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A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original
Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

  • The initial value is b = 14500.
  • The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0
2 years ago
PLEASE HELP ME WITH MATH
Alexxandr [17]

Answer:

down below

Step-by-step explanation:

1) 4% of 120 = 4.8, so 120+4.8 = 124.8 cm tall

2) 12% of 6000 = 720 .  6000-720 = 5280 gallons

3) 22% of 200 = 44 . 200-44 = 156

4) 30% of 40 - 12 .   40 - 12 = $28

5) 35% of 140 = $49 .  140 + 49 = $189

4 0
2 years ago
What is the next term in the arithmetic sequence? 9,17,25,33,...
lions [1.4K]

<u>Answer:</u>

<u><em>41</em></u>

<u />

<u>Explanation:</u>

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

<em>9, 17, 25, 33,...</em>

<em />

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

<em>9 - first term</em>

<em>17 - second term</em>

<em />

<em>17 - 9 = 8</em>

<em />

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

<em>9, 17, 25, 33,...</em>

<em>9 </em><em>+ 8 = </em><em>17</em>

<em>17  </em><em>+ 8 = </em><em>25</em>

<em>25 </em><em>+ 8 = </em><em>33</em>

<em />

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

<em>9, 17, 25, 33,...</em>

<em />

<em>33 </em><em>+ 8 = </em><em>41</em>

<em />

<em>9, 17, 25, 33, 41,...</em>

<em />

Therefore, the next term in the arithmetic sequence is <u><em>41</em></u>.

3 0
3 years ago
Which angles are correspoding angles
Luden [163]

Answer:

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.

7 0
2 years ago
How long will it take a person to double $2000 at a 6% interest rate, compounded annually?
aleksandr82 [10.1K]
Well you would do 6% times 2000 (.06 *2000) 120

5 0
3 years ago
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