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bekas [8.4K]
3 years ago
13

Does 3(2k-5)=6(k-4)+9 have no solution of many solutions

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

infinite (many)

Step-by-step explanation:

3(2k-5)=6(k-4)+9

6k-15=6k-15

since they are the same on both sides of the equal side any solution for x would work.

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Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by
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If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

We have

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h

Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

In general, the derivative of a power function f(x) = x^n is \frac{df}{dx} = nx^{n-1}. (This is the aptly-named "power rule" for differentiation.)

3 0
2 years ago
Which of the following are solutions to the inequality -7x+14>-3x-6 ? Select all that apply
ale4655 [162]
The solution is x<5
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4 0
4 years ago
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For a certain manufacturer, only ⅘ of the items produced are not defective.If 2,000 items are manufactured in a month, how many
a_sh-v [17]
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4 years ago
Amy hikes down a slope to a lake that is 10.2 meters below the trail. Then Amy jumps into the lake, and swims 1.5 meters down. S
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SSSSS [86.1K]
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14*16 = ?

14*16 = 224

Final answer: She has a total of 224 ounces of nuts.
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