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
bearhunter [10]
2 years ago
10

For the polynomial function ƒ(x)= −2x2 − 4x + 16, find all local and global extrema.

Mathematics
1 answer:
rusak2 [61]2 years ago
7 0

For the given quadratic equation we only have a maximum at y = 18.

<h3>How to find the extrema of the given function?</h3>

Here we have:

f(x) = -2x^2 - 4x + 16

Notice that this is a quadratic equation of negative leading coefficient.

Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.

The vertex is at:

x = -(-4)/(2*(-2)) = -1

The maximum is:

f(-1) = -2*(-1)^2 - 4*(-1) + 16 = -2 + 4 + 16 = 18

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ1

You might be interested in
Bob Nale is the owner of Nale's Texaco GasTown. Bob would like to estimate the mean number of litres (L) of gasoline sold to his
Fudgin [204]

Answer:

a

  The point estimate of the population mean is  \= x  =  56

b

  The 80% confidence level is  50.57 <  \mu  < 61.43

c

  There is  80% confidence that the true population mean lies within the confidence interval.

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  18

   The  standard deviation is  \sigma  =  18 \ L

   The  sample mean is  \= x  =  56

Generally the point estimate of the population mean is equivalent to the sample mean whose value is  \= x  =  56

Given that the confidence interval is 80% then the level of significance is mathematically represented as

      \alpha  =  100 -  80

      \alpha =  20 \%

      \alpha = 0.20

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table

 The  value is   Z_{\frac{ \alpha }{2} } =  1.28

 Generally the margin of error is mathematically evaluated as

          E =  Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }

=>       E =  1.28 * \frac{18 }{\sqrt{18} }

=>       E =  5.43

     Generally the 80% confidence interval is mathematically represented as

    \= x  - E  <  \mu  < \= x  + E

=>    56  - 5.43  <  \mu  < 56  + 5.43

=>   50.57 <  \mu  < 61.43

The  interpretation is that there is  80% confidence that the true population mean lies within the limit

3 0
3 years ago
Q23. Look at the image
alisha [4.7K]

Answer:

B. First term = 5, Common difference = -3

Step-by-step explanation:

The first term is f(1) = 8 - 3(1) = 8 - 3 = 5.

The common difference is the coefficient of  n.  Another way to see this is to compute the second term, f(2) = 8 - 3(2) = 8 - 6 = 2.  The second term is 3 less than the first.  The common difference is -3.

The sequence goes 5, 2, -1, -4, ...

4 0
3 years ago
A and b are positive integers and a−b=2. Evaluate the following: 3^b/3^a
Lerok [7]

Answer:

The answer is 1/9.

Step-by-step explanation:

Using the equation a-b=2, we can solve that a = 2+b.

We can then <u>substitute that into the expression</u> given to get 3^b/3^(2+b).

Since <u>they have the same base, we can subtract the exponents from the numerator and denominator</u> to get 3^(b-2-b) which <em>simplifies to 3^-2.</em>

3^-2 is simply 1/9.

8 0
3 years ago
Read 2 more answers
What is 2 1/4 x 3 1/2
Usimov [2.4K]
9.625 in decimals hope this helps
4 0
3 years ago
Read 2 more answers
Jimmy walked from his house, to school, then to the store, and finally back home. The distance from the school to the store
Blababa [14]

The distance from Jimmy's house to the school is 400 meters.

Step-by-step explanation:

Step 1; Assume that the distance between Jimmy's house and his school is x meters. So from the given data, we can form these

Distance from his house to the school = x,

Distance from his school to the store = Distance from his house to the school + 100 = x + 100,

Distance from the store to his house = Distance from his house to the school + 175 = x +175.

Step 2; It is given that the total distance Jimmy walked was 1,475 meters. Jimmy walked a total of three trips so,

x + x + 100 + x + 175 = 1,475,

3x + 275 = 1,475,

3x = 1,475 - 275 = 1,200,

x = 400.

So distance from Jimmy's house to school = 400 meters,

Distance from his school to the store = 400 + 100 = 500 meters,

Distance from the store to his house = 400 + 175 = 575 meters.

8 0
3 years ago
Other questions:
  • If the sin 30 degrees is 1/2 then the cos ____=____.
    13·2 answers
  • What is simpiest form in 2/3 X 4.5
    13·2 answers
  • Whats 9 plus 10
    12·2 answers
  • What is the distance between points (2, −8) and (2, 7) on a coordinate plane?
    12·1 answer
  • A car travels at an average speed of 64 miles per hour. How many miles does it travel in 5 hours and 15 minutes?
    14·2 answers
  • Expression for the opposite of the fourth power of 2
    11·1 answer
  • I need help I don't understand this
    12·2 answers
  • First one to answer gets BRAINLIEST no cap look at the picture.
    14·2 answers
  • Rename as a mixed number in simplest form. 15 22/20
    11·2 answers
  • Solve the system of equations.<br> 9x + 4y = 6<br> 9x + 5y = -33<br> X =<br> y =
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!