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3 years ago

What is the rate of change in the equation y=-2x+7

Mathematics

1 answer:

Anna [14]3 years ago

3 0

Answer:

Step-by-step explanation:

m is the slope

y=mx+b

y is equation

m is slope (movement)

b is base

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Solve the following system of equations.

zheka24 [161]

Answer:

(1,1)

Step-by-step explanation:

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3 years ago

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Rom4ik [11]

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2 years ago

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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

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

What is the solution to the system of equations

ExtremeBDS [4]

Answer:

Y = 2

X = 3

Step-by-step explanation:

Substitution:

6(4y-5) - y = 16

24y-30-y=16

23y=46

Y = 2

So then:

6x-2 = 16

6x = 18

X = 3

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2 years ago

a $35 decrease followed by a $25 increase is it same as the origional price,is it less the the origional ,or is it greater than

velikii [3]

It is less than original

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2 years ago