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
Harman [31]
3 years ago
15

At what value(s) of x does f(x) = –x^4+2x^2 have a critical point where the graph changes from decreasing to increasing?

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

f''(-1) and f''(1) are both negative, so at x=-1 and x=1, the function is changing from increasing to decreasing.

Step-by-step explanation: We usually indicate exponents with the "^" symbol. This makes the function f(x) = -x^4 + 2x^2.

f'(x) = -4x^3 + 4x; f'(x) = 0 when x= 0 or ±1.

f''(x) = -12x^2 + 4, and this is > 0 when x=0, so x=0 is a relative minimum point on the graph. This means that the function is changing from decreasing to increasing.

You might be interested in
In the 2014 - 2015 school year, the mean score on the critical reading of the SAT was 490 with a standard deviation of 102 for j
bonufazy [111]

<u>Answer:</u>

The Ranking Percentile is (B) 97.5%

<u>Explanation :</u>

To find the percentile rank we need to find the z- score. After finding the z-score match this value with the corresponding value in z-score table.

Formula to find the z-score

Z-score=\frac{\text { scored obtained - mean }(\mu)}{\text { standard deviation }(\sigma)}

Substituting the values in the above equation, we find

Z-score= \frac{(694-490)}{102}=2

So, the Z-score is +2

Now, the corresponding value of Z-score 2 in the table is 0.9772

or the percentile score is 97.72 ~ 97.5 .

3 0
3 years ago
Sandals and flip-flops on sale at the store! Janet purchased 3 pairs of sandals and 1 pair of flip-flops for $23.50, while Micha
Lerok [7]

Answer:

1 sandal= $7

1 flip flop =$2.5

Step-by-step explanation:

say one sandal costs x and one flip flop costs y

3 x+y=23.50

4x+2y=33

solve using simultaneous equationsto find the values of x and y

3 0
3 years ago
Help me on my review quiz. 10 point btw
arsen [322]

Answer:

96.8 percent

Step-by-step explanation:

You can cut off two zeros from both numbers to compare 1000 to 32.

The difference is 968, and the original is 1000.

So you divide 968 by 1000 to get 0.968 which is equal to 96.8 percent.

6 0
3 years ago
What can be measured in nanometers?
Art [367]

Nanometers are a really small measurement, one billionth of a meter, I believe.

So nanometers is used to describe tiny stuff, like atoms of a water molecule, and waves of  light.

3 0
3 years ago
Math Lab Review Work
umka2103 [35]

Answer:

I think it C because I know that Nalia isn't correct so it's not D or B.

8 0
3 years ago
Other questions:
  • Which are correct representations of the inequality -3(2x - 5) &lt; 5(2-x)? Select two options.
    6·1 answer
  • Through: (-2,-1), slope= 5/2
    14·2 answers
  • Is this the correct answer? if not, what is it?
    11·1 answer
  • Evaluate the expression. If necessary, round to the nearest hundredth. e^In5
    7·1 answer
  • If one batch needs 3/4 cups of oil. and she want to make 5 batches. how much would she need?
    15·2 answers
  • It cost publishing company $10.15 to manufacture a test prep book the book sells for $19.95 What is the percent markup on the bo
    8·1 answer
  • 13. Find the vertex of f(x)=x2 -6x +8 .
    6·1 answer
  • Need help fast plss will give brainliest to who is correct plss help
    7·1 answer
  • The product of a number and -4 is 80<br> *please help ;-;*
    10·2 answers
  • The equation of four lines are given below:
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!