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3 years ago

Solve: (8-u)-(5u+1) with steps

Mathematics

1 answer:

iogann1982 [59]3 years ago

3 0

Answer:

-6u + 7

Step-by-Step Explanation:

Rearrange Terms:

(8 - u) - 1(5u + 1)

(-u + 8) - 1(5u + 1)

Distribute:

(-u + 8) - 1(5u + 1)

(-u + 8) - 5u - 1

Eliminate Redundant Parentheses:

(-u + 8) - 5u - 1

-u + 8 - 5u - 1

Subtract the Numbers:

-u + 8 - 5u - 1

-u + 7 - 5u

Combine Like Terms

-u + 7 - 5u

-6u + 7

Solution:

-6u + 7

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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 x + 1 :

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

Recall that nª / nᵇ = nª⁻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)

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

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4y - 8y) / (2y - 4y)

… = (-4y) / (-2y)

… = 2

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3 years ago

Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and do

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Answer:

(x + 3)^2 is left 3 because it becames 0 at -3

(x - 3)^2 is right 3 because it becames 0 at 3

x^2 +3 is up 3 because your just adding 3 units up

x^2 - 3 is down 3 because your just subtracting 3 units down

Step-by-step explanation:

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3 years ago

Evaluate the power: (−3)^4 A. 81 B. -81 C. 243 D. -331

Agata [3.3K]

Answer:

The answer is 81.

Step-by-step explanation:

Since the power of 4 is even, the result will be positive.

${3}^{4}$

Simplify.

$81$

hence, the answer is Option A) 81.

7 0

3 years ago

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