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TEA [102]
2 years ago
13

7.5x10^5-2.9x10^4=? having trouble

Mathematics
1 answer:
alexira [117]2 years ago
7 0
721,000 should be the answer. took me a little while though haha
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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
What is bigger grams or milligrams?
AysviL [449]
A gram, because a milligram is one thousandth of a gram.
6 0
3 years ago
What is 37 1/4 x 24 Please help!! im doing it for math!
Olenka [21]

Answer: 894

Step-by-step explanation:

3 0
3 years ago
Solve the equation for y 2x-y=5
Gekata [30.6K]

Answer:

if you are solving for y then the answer is 2x-5

8 0
3 years ago
What is the polar form of the complex number 4−6i? Keep z in its simplest radical form and round θ to the nearest degree.
solong [7]

Answer:

D

Step-by-step explanation:

z=r(cos \theta+\iota sin \theta)=4-6 \iota\\r cos \theta=4\\r sin  \theta=-6\\square~and~add\\r^2(cos^2 \theta+sin ^2\theta)=4^2+(-6)2=16+36\\r=\sqrt{52} =2\sqrt{13} \\cos \theta >0~and~sin ~\theta

6 0
3 years ago
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