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Eduardwww [97]
3 years ago
5

Simplify. (3-2i)(-5)

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

2i-15

......................

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tims math homework is on five consecutive pages in the math textbook, and the sum of those page numbers is 630. what is the page
Brrunno [24]

Answer:129

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630/5 is 126. Add 126, two numbers below it, and two above it. So, 124+125+126+127+128=630. The next page is 129

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3 years ago
What is the slope and y-intercept of (5x-8y=3) Need help asap plz! thank you!
Ksenya-84 [330]
You can isolate y and you know that the slope is the number in front of x (the one that multiplies it) You know that the y-intercept is the value of y when x=0, therefore you can find y by replacing x with 0 in the equation 1-equation 5x-8y=3 5x=3+8y 5x-3=8y (5x-3)/8=y y=(5/8)x -3/8 (Slope = 5/8) 2- y-intecept (x=0) y=(5/8)(0)-3/8 y=-3/8
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3 years ago
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
elena-14-01-66 [18.8K]

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
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