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sleet_krkn [62]
3 years ago
5

Find the value of |-8| + 4(-5 + 9) ÷ 2. 16 12 24 0

Mathematics
2 answers:
jeka57 [31]3 years ago
6 0

Answer:

16

Step-by-step explanation:

using the abs value rewrite equation to:  8 + 4(-5 + 9) ÷ 2

8+4(4)/2

8+16/2

8+8=16

hope this helps

natta225 [31]3 years ago
6 0

Answer: 16

Step-by-step explanation:

I-8I + 4 (-5+9) ÷ 2 =

8 + (-20 + 36)  ÷ 2 =

8 + 8=

16

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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)

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

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… = (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

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