F(x) = 6x + 7; x = -3

Mathematics

2 answers:

jok3333 [9.3K]2 years ago

8 0

Answer:

1+80×70-80+55-6+12065

ryzh [129]2 years ago

7 0

Answer: -11

Step-by-step explanation:

Plug in -3 into X

6(-3)+ 7

Solve : -18+7 = -11

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amid [387]

Sorry yo i just need points :/

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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.)

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2 years ago

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance trav

natima [27]

First we rewrite the table:
20 30
50 75
80 120
150 ?
We observe that for each 30 number of hops, the distance increases by 45 feet.
We must find the slope of the line:
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m = 1.5
Then, the line is:
y = 1.5x
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y = 1.5 * (150)
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Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

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3 years ago

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liq [111]

The Minimum sample size table is attached below

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