What is the maximum value of this function f x )= − 16x2 32x 20?

Answers

Answer 1

On solving the provided question, we can say that - the maximum value or maxima of the given function is 36.

What is maxima?

Maximum describes a high point (plural maxima). The term "minimum" refers to a low point (plural minima). Extremum is the Latin term used to describe the greatest or minimum (plural extrema). When greater points are possible elsewhere but not close by, we say local maximum (or minimum). The greatest and smallest values of a function in either a specified range or throughout the whole domain are referred to as a function's maxima and minima, generally known as extrema, in mathematical analysis.

The vertex is used to determine that the function's maximum value is 36.

Function is provided by:

f(x) = [tex]16x^2 + 32x + 20[/tex]

coefficients  -

[tex]a = -16, b = 32 , c =20[/tex]

[tex]f_{max} = \frac{32^2 - 4(-16)(20)}{4(-16)}[/tex] = 36

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Related Questions

Which of these expressions or phrases can be used to represent the model choose all the correct answers



Pls no BOT part ;(

Answers

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

J
L
N
M
If mZJKN = 28º and mZKLM = 103°, find mZJML.

Answers

Answer:

98°

Step-by-step explanation:

each half adds up to 180° so 103+28=131 then 180-131=49

and that would be just one of the bottom angles so you would double it to get 98

Multiply and simplify the following products. V stands for radical.
Example: (V5)2= (V5) (V5) = v(5 x 5) = 5
1. (19)
2. (V2) (13)
3. 2(12) x 3(3)

Answers

Answer:

(1) 9

(2) [tex]\sqrt{6}[/tex]

(3) 6([tex]\sqrt{6}[/tex])

Step-by-step explanation:

From the question,

(1) ([tex]\sqrt{9}[/tex])²

    Applyin the law of multiplication of surds

   ([tex]\sqrt{9}[/tex])²  = (

(2)  ([tex]\sqrt{2}[/tex])× ([tex]\sqrt{3}[/tex]) =

   Also applying the the law of multiplication of surd

   ([tex]\sqrt{2\\}[/tex])×([tex]\sqrt{3}[/tex]) =  ([tex]\sqrt{6}[/tex]) ( This is an irational answer)

   ∴ ([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])  = [tex]\sqrt{6}[/tex]

 (3) 2([tex]\sqrt{2}[/tex])×3([tex]\sqrt{3}[/tex])

     Also applying the law of multiplication of surds i.e Multiply surds to     surds and whole number to whole number

     = 2×3×([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])

       6×([tex]\sqrt{6}[/tex]) = 6(

find the value of x in the triangle shown below

Answers

Answer:

√27

Step-by-step explanation:

use the pythagorean theorem

3²+x²=6²

9+x²=36

x²=27

√x²=√27

x=√27

For the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions. Pam's salary is $30,000, and last year, she contributed $4000 to her 401(k) plan. What was her employer's contribution to the 401(k)?  A. $4000  B. $3600  C. $2250  D. $1800

Answers

Her employer's contribution to the 401(k) was $2,500.

Calculus

Given that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:

4000 / 12 x 3 = X1000 = X(4000 / 12 x 9) / 2 = X3000 / 2 = X1500 = X1000 + 1500 = 2500

Therefore, her employer's contribution to the 401(k) was $2,500.

Learn more about calculus in https://brainly.com/question/22810844

Answer: C. $2250

Step-by-step explanation: took the quiz.

please helppppppppp lol

Answers

Answer:

x = 20

Step-by-step explanation:

angle 2 and 3 are congruent, becaus they are alternate interior angles. So, 3x-10 = x+30, 2x = 40, x= 20.

help mee please i need this one right now

Answers

Answer:

where is the question

Step-by-step explanation:

chai

Which of the following 95% confidence intervals would lead us to reject Hp =0.30 in favor of
Hp *0.30 at the 5% significance level?
(a) (0.30, 0.38)
(b) (0.19, 0.27)
(c) (0.27, 0.31)
(d) (0.24, 0.30)
(e) None of these

Answers

According to the hypothesis tested, the confidence interval that would lead us to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_0: p < 0.3[/tex] is given by:

(b) (0.19, 0.27)

What are the hypothesis tested?

At the null hypothesis, we test if the proportion is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is less than 0.3, that is:

[tex]H_1: p < 0.3[/tex]

We want to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_1: p < 0.3[/tex], hence we need an interval that is entirely below 0.3, which is given by option b.

You can learn more about confidence intervals at https://brainly.com/question/16236451

Greg invests $500 in a savings account that earns 4% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account after 5 years?

Answers

Answer:

600

Step-by-step explanation:

Gal Gadot borrows $125,000 at a yearly simple interest rate of 4.5%. How much would she pay, in total, if she paid off the loan in 15 years?

Answers

Answer:

$241,910.31

Step-by-step explanation:

Compound interest

125,000(1.045)^15

Also, Gal Gadot is the best!

8. In a mock school election 5/7 of the students voted. There are 1095 ballots. Write and solve a equation to find the number of students in the school.​

Answers

5/7 multiply by 1095 that is 782 students

Alright, this is a fairly simple equation if you consider the overall question. As the question states, every 5 of out 7 students voted in the election. This means that five sevenths of all students in the school casted a vote.

Now, what can we do with this information? Well, we know that there were 1095 votes in total. This means that five sevenths of the school who voted represents 1095 students.

Can you see the equation you need to write now? Let's use a simple equation with the variable 's' to represent the total number of students:

[tex]\frac{5}{7}[/tex] * s = 1095

As I elaborated earlier, this equation essentially means "5/7 of the entire student population is 1095 students." Now, we just need to isolate the variable 's' to get our final answer.

To get rid of the denominator, let's multiply both sides by 7:

[tex]\frac{5s}{7}[/tex] * 7 = 1095 * 7

5s = 7665

Finish it off by dividing both sides by 5 to get rid of s's coefficient:

[tex]\frac{5s}{5}[/tex] = [tex]\frac{7665}{5}[/tex]

s = 1533

There are 1533 total students in the school

And that's it! If you have any questions about how I solved it, feel free to ask!

- breezyツ

find the value of x
please help me do this​

Answers

Answer: reminder u are loved. <3

Step-by-step explanation:

As shown in the figure, polyhedron ABCDEFGH is a cube and P is any point on face EFGH. Compare the
volume of the pyramid PABCD and the volume of the cube. Complete the explanation.
H
G
P
B
The volume of PABCD
vis
the volume of the cube v

Answers

Answer:

the volume of PABCD is 1/3 of the volume of the cube

Step-by-step explanation:

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

8) 22

9) cos 33°

10) 55

Step-by-step explanation:

[tex]8) \: \: \: \tan(x) = \frac{6}{15} \\ x = \tan^{ - 1} ( \frac{6}{15} ) \\ x = 21.8 \\ x = 22 \\ \\ \\ 9) \: \: \: \: \: \sin(57) = 0.83867.... \\ \cos(33) = 0.83867.... \\ \\ \\ 10) \: \: \: \cos(35) = 0.8192..... \\ \sin(55) = 0.8192.... \\ so \: \: \: z = 55[/tex]

I hope that is useful for you :)

A frog is jumping onto a lily pad. Its height, h (in feet), is recorded at various seconds, t, in the
table below. Write an equation for the curve of best fit, then estimate the height of the frog after 6
seconds.
1
0
2
1
4.5
6
2
3
6.5
4
6

Answers

The curve of best fit is an illustration of a quadratic regression

The equation of the curve of best fit is [tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex], and the height of the frog after 6 seconds is 2 feet

How to determine the equation of the curve of best fit?

To determine the equation of the curve of best fit, we make use of a graphing calculator

Using the graphing calculator, we have the following calculation summary

a = -17/18b = 17/3c = 2

The equation of the curve of best fit is represented as:

[tex]y = ax^2 + bx + c[/tex]

Substitute the values for a, b and c.

So, we have:

[tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex]

After 6 seconds, the value of x is 6.

So, we have:

[tex]y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2[/tex]

Evaluate

[tex]y = 2[/tex]

Hence, the height of the frog after 6 seconds is 2 feet

Read more about curve of best fit at:

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find a distance between the two points

Answers

i dont seem to understamd

Step-by-step explanation:

To find the distance you need the distance formula. The distance formula is [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1})^2 }[/tex]. Order the pairs with a 1 or a 2. Look at he point that you labeled 2. Substitute any of the points with a 2 subscript into the equation. The x value is the first number in the ordered pair and the y value is the second number in the ordered pair. Repeat this with the ordered pair you labeled as 1. Substitute the numbers in. You should get something like this: [tex]\sqrt{(-7-5)^{2} + (-7-9)^{2} }[/tex]. If you are doing this without a calculator, it is easier than you think. Remember PEMDAS? Well apply that with this. Find out the solution to the parenthesis first. The first parenthesis should come out with[tex](-12)^{2}[/tex]. Finish the expression off by evaluating the expontent. That comes out to 144. Try this with the next parenthesis... The answer should be 256. Your square root should look like this: [tex]\sqrt{144+256}[/tex]. Add the numbers under the parenthesis together and you should get [tex]\sqrt{400}[/tex]. I'm sure you have a calculator in you hand ready to solve this. NOW YOU FIND THE ANSWER!!!

I need help pls! A group of hikers park their car at a trail head and hike into the forest to a campsite. The next morning, they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles, d, from the car on the day of their hike after h hours. How far is the campsite from their car? Write an equation that describes the relationship between d and h. After how many hours will the hikers be 16 miles from their car?

Answers

Answer:

Look down below ;)

Step-by-step explanation:

How far is the campsite from their car?

4 miles

(0,4)

Write an equation that describes the relationship between d and h.

d = 3h + 4

After how many hours will the hikers be 16 miles from their car?

16 = 3h + 4

12 = 3h

4 = h

After 4 hours

She has written 90 page essay so far she needs 150 pages. What percent of pages has she completed.​

Answers

Answer:

75%

Step-by-step explanation:

i am not going to say it right but i think it is but my teacher have us doing this now

what is the square root of 30​

Answers

Answer:

hi

Step-by-step explanation:

i think so...

[tex] \sqrt{30} = 5.47[/tex]

have a nice day

Solve for w.
-2 = w + 7

Answers

Answer:

-9

Step-by-step explanation:

I just took the same test

Plz Help I neeed to know
What is 2+2?

Answers

Answer:

4

Step-by-step explanation:

Answer:

You see the theoretical answer would be 4 but have you ever considered it to be a watermelon????

Step-by-step explanation:

With the 2 numbers added up its 2 fingers plus 2 fingers. Which is 4. BUT

Its 4 not a watermelon

3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.​

Answers

Answer:

A) The unit rate is 2 inches of snow per hour.

&

E) At the same rate 12 inches of snow will fall in 6 hours.

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

did it on usatestprep

Just need help with this !

Please anyone answer as soon as you can

Don’t send the link that hacks you :/

Answers

Answer:

check all boxes except for the last 1

Agree
All except the very last

what is this i HATE math Oh MY GOD

Answers

As a Decimal it is 0.0625

Find the area of the figure

Answers

the area of the figure is 30 because u have to add an subtract the numbers on the side

Subtract the following polynomials in this equation

Answers

A is the answer to your question

7(x-2)=21 help me with this answer plz show work

Answers

Answer:

x=5

Step-by-step explanation:

7 times x

7 times 2

7x-14= 21

14+14= 21+ 14

7x=35

x=5

7 times five equals 35

easy points... round 12717. to the nearest hundredth​

Answers

I just agree with the other comment

ASAP HELP... I DONT UNDERSTAND.......

Answers

Answer:

8 is answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]8^2[/tex] is also [tex]8*8[/tex]

[tex]8*8[/tex] is 64

Hope I helped

solve 0=-x^2+4x-2

a. -4
b. 8
c. 12
d. 24

Answers

Answer:

Question is not clear, and the options are none of the above

Step-by-step explanation:

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