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1 year ago

Find the derivative of g(y)=(y-4)*(2y+y^2)

Mathematics

1 answer:

sasho [114]1 year ago

5 0

Answer:

$g'(y)=3y^2-4y-8$

Step-by-step explanation:

start by foiling out the given function

$g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y$

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

$g'(y)=3y^2-4y-8$

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3/4 is 60% of what number

Mariana [72]

First change the fraction to percent.
3/4 = 60%

Then change the percent to the decimal.
60% = 0.75

Now multiply it.
0.75 x 60% = 45

45 is the answer.

3 0

3 years ago

Which expression is equivalent to -3(4x-0.50)? PLEASEEEEEEEEEEEEE HELPPP

Misha Larkins [42]

Final Answer: $-12x + 1.5$

Steps/Reasons/Explanation:

Question: Which expression is equivalent to $-3(4x - 0.50)?$

Step 1: Expand by distributing terms.

$-3$ × $4x - 3$ × $-0.50$

Step 2: Simplify $-3$ × $4x$ to $-12x$ .

$-12x - 3$ × $-0.50$

Step 3: Simplify $3$ × $-0.50$ to $-1.5$ .

$-12x - (-1.5)$

Step 4: Remove parentheses and add.

$-12x + 1.5$

~I hope I helped you :)~

6 0

3 years ago

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.

barxatty [35]

Answer: 0.05

Step-by-step explanation:

Given : Interval for uniform distribution : [46.0 minutes, 56.0 minutes]

The probability density function will be :-

$f(x)=\dfrac{1}{56-46}=\dfrac{1}{10}=0.1\ \ , 46$

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

$P(50.75$

Hence, the probability that a given class period runs between 50.75 and 51.25 minutes = 0.05

7 0

3 years ago

Select the correct answer.

erica [24]

Answer:

there is 1/2 a chance you will roll an odd number.

8 0

3 years ago

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12.3 + 17.8 - ( 3.3 x 2 )

beks73 [17]

The answer to this problem is 23.5 . You are going to start by multiplying whats inside the paranthesis’s and then you’re going to calulate the sum and then difference and you should be left with 23.5

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3 years ago

Read 2 more answers