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murzikaleks [220]
3 years ago
10

At the end of last year, the population of Alice's hometown

Mathematics
1 answer:
madreJ [45]3 years ago
7 0

Answer:

y = 90000 (1.023)^x

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What is the third term in the binomial expansion of (3x y3)4? 54x2y3 18x2y3 18x2y6 54x2y6.
hjlf

From the simplified form of the expression, the third term on expansion is 54x^2y^6

Given the expression (3x + y^3)^4

  • For binomial expansion, the power of 3x will be decreasing while y^3 will be increasing.

On expansion, the resulting expression will be:

  • =(3x + y^3)^4\\=(3x)^4(y^3)^0 + 4 (3x)^3(y^3)^1 + 6(3x)^2(y^3)^2 + 4(3x)^1(y^3)^3 + (3x)^0(y^3)^4\\

Simplify the result to have:

  • =81x^4+81x^3y^3+54x^2y^6+12xy^9+y^{12}

From the simplified form of the expression, the third term on expansion is 54x^2y^6

Learn more on binomial expansion here: brainly.com/question/13800206

8 0
3 years ago
The total cost f(x), in dollars, for renting a vacation house for x days is shown:
MA_775_DIABLO [31]

Answer:

Option D.The number of dollars it costs to rent the house for 10 days

Step-by-step explanation:

we have

f(x) -----> the total cost for renting a vacation house

x ------> the number of days rented

we know that

f(x)=10+250x

so

For x=10 days

substitute in the function

f(10)=10+250(10)=$2,510

f(10) represent the number of dollars it costs to rent the house for 10 days

3 0
3 years ago
Read 2 more answers
20.
sp2606 [1]

Answer: Smaller

Step-by-step explanation:

Multiplying a number by 1.25 increases it by a quarter

Multiplying a number by 0.75 decreases it by a quarter

1.25 / 0.75 = 0.9375

Thus, increasing something by a quarter then decreasing it by a quarter, you are effectively multiplying that number by 0.9375, which is less than 1, so the number will decrease.

4 0
3 years ago
You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gallons per mile. Which equation best represents this info
Marina86 [1]
0.03x + 15 y = 0.03x - 15 y = -0.03x + 15 y = -0.03x - 15
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3 years ago
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Consider the point​ (x,y) lying on the graph of the line 6x + 4y = 7. Let L be the distance from the point​ (x,y) to the origin​
alukav5142 [94]

Try this solution, note, the shown way is not the shortest one.

The answer is marked with red colour.

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3 years ago
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