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2 years ago

Find the derivative of the function y=x^3-8x^2+21x+1

Mathematics

1 answer:

aleksandrvk [35]2 years ago

6 0

$y=x^3-8x^2+21x+1 \\
y'=3x^2-16x+21$

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204 meters 89 cm = how many cm??

mafiozo [28]

One meter is 100 centimeters. 204*100=10400. add that to 89, and we get 10489 cm total. the answer is 10489cm

8 0

3 years ago

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Find the area of the figure below in square centimeters. 10 cm 3cm 4 cm 6 cm

Ne4ueva [31]

Answer:

720

Because

area of squre =SIDE MULTIPLE BY SIDE

10 MULTIPLE 3 MULTIPLE 4 MULTIPLE 6

SO ANS 720

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2 years ago

Which equation represents the line through (4, -6) and (0, 2)?

lukranit [14]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x=0).

1) Determine the slope (m)

$m=\displaystyle\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (4, -6) and (0, 2):

$m=\displaystyle\frac{-6-2}{4-0}\\\\m=\displaystyle\frac{-8}{4}\\\\m=-2$

Therefore, the slope of the line is -2. Plug this into $y=mx+b$ :

$y=-2x+b$

2) Determine the y-intercept (b)

The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into $y=-2x+b$ :

$y=-2x+2$

I hope this helps!

3 0

2 years ago

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What is 4 9/10 expressed as a decimal? Enter your answer in the box.

soldier1979 [14.2K]

Answer:

4.9 is decimal form.

Step-by-step explanation:

4 9/10

Solve :

4 9/10

= 49/10

= 4.9

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2 years ago

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the ages ( in years) of the 5 employees at a particular computer store are 32,23,21,38,26 . assuming that theses ages constitute

jolli1 [7]

Step 1: Add up the ages.

32+23+21+38+26=140.

Step 2: Divide answer by the amount of used numbers (5, in this case.)

140/5=28.

Your answer is 28.

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2 years ago