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3 years ago

8

You are selling raffle tickets to raise money. Each ticket costs $5. Which equation solves for the number of tickets you must se

ll to raise $45?
A) 45-5=x
B) x/4=45
C) 45=5+x
D) 5x=45

1 answer:

aleksley [76]3 years ago

8 0

D. 5x = 45 because you are trying to find x, the number of tickets that must be sold to earn $45.

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The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

$(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4$

Evaluate the combination factors.

So, we have:

$(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4$

Evaluate the exponents and the products

$(2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81$

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2 years ago

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4 years ago

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Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square are

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Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

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Step-by-step explanation:

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The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

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Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

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