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DerKrebs [107]
3 years ago
9

every afternoon when the two smith children come home from school they eat two two-pound bags of dried apricots every two week t

he four jones children eat 8 two-pound bags of dried apricots every four weeks who are more and by how much.
Mathematics
1 answer:
charle [14.2K]3 years ago
3 0
Jones family eats more
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

8 0
3 years ago
The interval for which is non real is
scZoUnD [109]

Answer:

c

Step-by-step explanation:

it is non real if x²-36<0

x²<36

|x|<6

so -6<x<6

7 0
3 years ago
A company has recently been hiring new employees. Today the company has 29% more employees than it did a year ago. If there are
mezya [45]

Answer:

27477

Step-by-step explanation:

Subtract 38700 from 29% = 27477.

5 0
2 years ago
Why is the product of 9s diagonal?
Nadusha1986 [10]

Answer:

A. With each 9s fact you add another 9, which means you go straight down a row and back one space. This creates a diagonal pattern in the grid.

6 0
3 years ago
The width of a laptop is 11.25 inches. The width is 0.75 times the length. What is the length of the laptop?
Marat540 [252]
8.4375 is the correct answer
5 0
3 years ago
Read 2 more answers
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