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wlad13 [49]
2 years ago
5

HELP PLEASE! will give brainliest

Mathematics
1 answer:
Alisiya [41]2 years ago
3 0
<h2>2 units down</h2><h2>1 unit to the left</h2>
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Find the 76th term of the arithmetic sequence 17, 19, 21, ...
Dominik [7]

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

^{a}n = ^{a}1 (n - 1)d

Since we want to determine the 76th term, we are going

to substitute 76 in for <em>n</em> in our explicit formula.

Then, ^{a}1 will be our first term in our sequence which is 17.

Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have ^{a} 76 = 17 + (76 - 1)(2).

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have ^{a} 76 = 17 + (75)(2).

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have ^{a} 76 = 17 + 150.

Now just add to find that ^{a} 76 = 167.

So the 76th term is 167.

5 0
3 years ago
Angelique is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for t
marusya05 [52]

Answer:

A)  both functions are linear

B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000

C) House 2 will value $106894.4 more than house 1.

Step-by-step explanation:

A) Value Increase from year 1 to year 2:

House 1: 193,606.40 - 186,160 = 7446.4

House 2: 201,000 - 190,000 = 11000

Value Increase from year 2 to year 3:

House 1: 201,350.66 - 193,606.40 = 7744.26

House 2: 212,000 - 201,000 = 11000  

This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.

B) The slope is the same as the value increment from one year to the next one.

slope (m) of House 1: 7446.4

slope (m) of House 2: 11000

General formula of a line:

f(x) = mx+b

Replacing with a known point:

<u>House 1</u>

186,160 = 7446.4(1) + b

b = 186,160 - 7446.4 = 178713.6

equation: f(x) = 7446.4x + 178713.6

<u>House 2</u>

190,000 = 11000(1) + b

b = 190,000 - 11000 = 179000

equation: f(x) = 11000x + 179000

C) Replacing x = 30 into each equaiton:

<u>Value of House 1 after 30 years</u>

f(x) = 7446.4(30) + 178713.6 = 402105.6

<u>Value of House 2 after 30 years</u>

f(30) = 11000(30) + 179000 = 509000

Then, house 2 will value 509000 - 402105.6 = $106894.4  more than house 1.

8 0
3 years ago
F(x)+3x-5<br> F(x) +g(x)
levacccp [35]

nub 5777977777777777777777777777777777777777777

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3 years ago
Dylan records whether people prefer to drink milk, tea, coffee, or smoothie in the morning. He
almond37 [142]
Dylan has a butt full of poop
7 0
3 years ago
1. The number of visitors to a website in the first week is 50. The number of visitors each week is double the number of visitor
Inessa05 [86]
So it would be
Week 1: 50
Week 2: 100
Week 3: 200
Week 4: 400
Week 5: 800
Week 6: 1600
Week 7: 3200
Week 8: 6400
3 0
3 years ago
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