1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Valentin [98]
3 years ago
14

3. f(x) =(x-1)(x2+2) then f'() :

Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0

Answer:

f'(x)=3x^2-2x+2

Step-by-step explanation:

Assuming that the function is

f(x)=(x-1)(x^2+2)

First, we need to remove the parenthesis. Once this is done, we get

f(x)=x^3-x^2+2x-2

Now that the parenthesis are gone, we can differentiate each term. To do this, we can use the power rule, which states

f(x)=x^n\\f'(x)=nx^{n-1}\\

This gives us

f'(x)=3x^2-2x+2

You might be interested in
there is 135 feet of masking tape on a roll henry has 6 rolls. how many feet of masking tape does he have in all?
charle [14.2K]
Henry has 810 feet of making tape 

5 0
3 years ago
Read 2 more answers
According to the University of Nevada Center for Logistics Management, 6% of all mer-
Fudgin [204]

Answer:

a) The point estimate of the proportion of items returned for the population of

sales transactions at the Houston store = 12/80 = 0.15

b) The 95% confidence interval for the proportion of returns at the Houston store = [0.0718 < p < 0.2282].

c) Yes.

We set an hypothesis and construct a test statistics. The test statistics result gives us:

Z calculated  = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

Step-by-step explanation:

a) Point estimate of the proportion = number of returned items/ total items sold = 12/80 = 0.15.

b) By formula of confident interval:

CI(95%) = p ± Z*\sqrt{\frac{p*(1-p)}{n} }  =  0.15 \pm 1.96 *\sqrt{\frac{0.15*(1-0.15)}{80} },

CI(95%) = [0.0718 < p < 0.2282]

c) The hypothesis:

H_{0}: The proportion of returns at the Houston store is not significantly different from the returns  for the nation as a whole.

H_{a}: The proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

The test statistics:

Z = \frac{\hat{p} - p_{0}}{\sqrt{\frac{p*(1-p)}{n} }}, where p_{0} is the proportion of nation returns.

Z calculated  = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

6 0
3 years ago
Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the
Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!

8 0
3 years ago
What is 17/12 as a mixed number
Butoxors [25]

Answer:


Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwis
nikdorinn [45]

There are 2 chances out of 6 to win $3

Every 6 rolls you are expected to win $6

Every 3 rolls you are expected to win $3.

On average, even though it's impossible, every roll you would make $1.

6 0
3 years ago
Other questions:
  • HELP ME ASAP PLEASE AND TY!!!!
    5·2 answers
  • How do i do this????​
    7·2 answers
  • Jay has fraction 3 over 4 pound of bird seed. He needs fraction 3 over 8 pound to feed the birds daily. Which of the rectangle m
    14·1 answer
  • In a certain town, 30% of the people are Conservatives; 50% Socialists; and 20% Liberals. In this town at the last election, 65%
    13·1 answer
  • Draw a shape that uses 5 squares and has a perimeter of 10 units.
    14·1 answer
  • Which statement(s) describe the graph of the equation x=-2? Select all that apply
    7·1 answer
  • Pattern A follows the rule "subtract 3" and Pattern B follows the rule "subtract 4." Pattern A 20 17 14 11 8 Pattern B 24 20 16
    14·1 answer
  • In a mathematics and Science test conducted, 28 passed in Mathe- matics 5 passed in only Science and 7 failed in both subjects.
    6·2 answers
  • What is 12 inches in length
    5·2 answers
  • Help me please im stuck here
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!