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son4ous [18]
3 years ago
12

Mr. Dylan asks his students throughout the year to record the number of hours per week they spend practicing math at home. At th

e end of the year, he creates a scatter plot that models the relationship between exam score and time spent practicing. Which line of best fit will give Mr. Dylan the most accurate linear equation in order to make predictions about this relationship?

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

The 2nd Picture

Step-by-step explanation:

It makes the most sense picture wise as it covers the median between most of the points.

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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.)

3 0
2 years ago
Solve the formula for R.
kati45 [8]

The Last Answer

R = PV/nT

6 0
3 years ago
Read 2 more answers
How many packages of hamburger buns and meat patties should you buy to sell at a baseball tournament?
Mandarinka [93]
13 packs of meat patties and 16 packs of buns
4 0
4 years ago
Asap please and thank you
fgiga [73]

Answer:

<h2>         x = 16 degrees</h2>

Step-by-step explanation:

1 and 3 are <u>vertical angles</u> so m∠1 = m∠3

(4x - 2)° = 62°

4x - 2 = 62

4x = 64

x = 16

5 0
3 years ago
122 - 4(6) +1<br> 112p hellllllp
Rasek [7]

Answer:

99

Step-by-step explanation:

U will do the one outside first

122+1-4(6)

=123-24

= 99

7 0
2 years ago
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