3 years ago

What is the rate of Change in y=8x - 4

Mathematics

1 answer:

mart [117]3 years ago

8 0

Answer:

The slope or rate of change is 8

Step-by-step explanation:

There isn't much to explain, sorry! I hope this helps!

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If your writing the equation it would be e subtracted by 5 equals 18 so it would look like e-5=18

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3 years ago

Which bar diagram represents the equation 5x + 7.5 = 15? A bar diagram. The top box contains 5 x. The bottom boxes contain 7.5 a

photoshop1234 [79]

Answer:

Option C.

Step-by-step explanation:

The top box must ALWAYS contain the answer to the problem.

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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.)

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2 years ago

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Zina [86]

Answer:

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