g(x) = -4x2 + 4x – 2
What is the maximum or minimum step by step

Answers

Answer 1
Ok for this answer you use a calculator for the times part and for g x you get the times you count too
Answer 2

We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]

Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.

To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:

[tex]g'(x)=-8x+4[/tex]

To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have

[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]

So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.

[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]

Therefore, the maximum point [tex]M[/tex] of the function is

[tex]\boxed{M=(0.5,-1)}[/tex]

 Glad to help! Wish you great studies.

If you found this helpful consider giving this answer brainliest ;)


Related Questions

What is the solution to this system of equations y=x-2 y=-0.5x+4

Answers

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​​  

​x=4

​y=2

​​  

Step-by-step explanation:

Identify the pattern rule for this sequence

Answers

Answer:

it should be c

Step-by-step explanation:

What is the value of the expression when a = 5, b = 4 , and c = 6?⁢

4a/2b−c


2

5

9

10

Answers

Step-by-step explanation:

9 +6=15-6=9

so your answer should be 9

mark me brainliest lol

Answer:

now you can say as brainliest to other person :)

Does anyone know the answer?

Answers

Answer:

the last one

Step-by-step explanation:

Triangles ABC and FED are congruent right triangles. Find the length of FE. 8 m 6 m

Answers

Sawyer and Emily is so much scary

Please help me with ptomblem

Answers

Answer:

When [tex] p^2 - 4p [/tex] is subtracted from [tex] p^2 + p - 6 [/tex], the result is [tex] 5p - 6 [/tex]. To get [tex] p - 9 [/tex], subtract [tex] 4p + 3 [/tex] from the result.

Step-by-step explanation:

✔️Subtracting [tex] p^2 - 4p [/tex] from [tex] p^2 + p - 6 [/tex]:

[tex] (p^2 + p - 6) - (p^2 - 4p) [/tex]

[tex] p^2 + p - 6 - p^2 + 4p [/tex] (Distributive property)

Collect like terms

[tex] p^2 - p^2 + p + 4p - 6 [/tex]

[tex] 5p - 6 [/tex]

✔️Subtracting [tex] p - 9 [/tex] from [tex] 5p - 6 [/tex]:

[tex] (5p - 6) - (p - 9) [/tex]

[tex] 5p - 6 - p + 9 [/tex] (distributive property)

Add like terms

[tex] 4p + 3 [/tex]

Evaluate the expression for a = 3, b=12 , and c = 4.
8ab over 2bc

Answers

Answer:

1

Step-by-step explanation:

8*12=96

96*3=288

4*12=48

48*2=96

96/96=1

Answer:3

Step-by-step explanation:

Im assuming you meant 8ab/2bc

So adding all the numbers you'll have

8x3x12/2x12x4

You first reduce the 12 in the fractions making it

8x3/2x4

and then you reduce the 8 and 2 making it 4

so you'll have

4x3/4

One last time you reduce the two fours making the

answer: 3


Please help geometry

Answers

They are not congruent

The sum of three consecutive numbers is 84. What is the largest of these numbers? (1 point)

26
27
28
29

WILL GIVE BRAINLEST!!!!!!

Answers

Answer:

29

Step-by-step explanation:

First, we have to find three numbers out of the four that add up to 84. But, it has to be in order because the question says consecutive numbers. In case you don’t know, consecutive numbers are numbers that increase at the same rate. In this problem, the numbers increase by one. I first did 26+27+28, which equaled 81. I have to get to 84 though. So, I did 27+28+29, which equaled 84. I did it correctly because 27, 28, and 29 are consecutive number, since they go inorder, and I added them up to 84. But the question is asking which of the three is the largest number. So, out of 27, 28, and 29, 29 is the largest number.

Hope this helps and answers your question! :)

Answer:

Step-by-step explanation:

i just took the test its 29

which shape has sides that are straight and connected?

Answers

Answer:

The first shape

Step-by-step explanation:

should be the top left one

Bouncing Baby Company sells their cribs for the following amounts to stores:

Number of Cribs Price
10 $1320
50 $6600

Which of the following statements about the price of the cribs are true if the price remains proportional to the number of cribs? Select TWO that apply.

A
6 cribs cost $660
B
22 cribs cost $2640
C
40 cribs cost $5280
D
55 cribs cost $7920
E
80 cribs cost $10,560
F
250 cribs cost $11

Answers

Answer:

C and E

Step-by-step explanation:

Ik u prolly dont care about the explanation but ill just say it

the ratio is 1:132 or 1 crib is $132. So 40 x 132 = 5280 and 80 x 132 = 10560

For the test im doing the answer is C and D  yw ;D

Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar, she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake? A) Corresponding sides of the two triangles have the ratio of 4:1, which proves SAS similarity.The length of the lake is 212 m. B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132 m.
C) Corresponding sides of the two triangles have the ratio of 3:1, which proves SSS similarity. The length of the lake is 159 m. D)
Corresponding sides of the two triangles have the ratio of 4:1, which proves AAS similarity. The length of the lake is 240 m.

Answers

Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.

Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.

One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.

The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:

[tex]\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4[/tex]

So, the ratio of bigger triangle and smaller triangle is 4:1.

With that ratio and suppose length is represented as L:

[tex]\frac{L}{33} =4[/tex]

L = 132

The length of the lake is 132m.

Thus, the answer for this question is

1) The similarity of the triangles is proved by SSS similarty;

2) Ratio of proportion is 4:1;

3) Length of the lake is 132m;

A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume

Answers

Answer:

[tex]890.75m^3[/tex]

Step-by-step explanation:

Step one:

given data

heigth/depth = 3.5m

radius= 9m

Step two:

The shape is that of a cylinder

Hence the volume of the pool is

[tex]V= \pi r^2h[/tex]

substitute

[tex]V= 3.142*9^2*3.5\\\\V=890.75 m^3[/tex]

which of these is not a linear graph.​

Answers

Answer:

D

Step-by-step explanation:

It isn't linear

Answer:

D)

Step-by-step explanation:

Linear graphs are straight they can be positive or negative but they do not have bending points in them.

I added a picture to help you

Order -3/4, 3/8, -1 1/8, -1/2 from least to greatest.Which is correct?

-1 1/8, -3/4, -1/2, 3/8

-1/2, -3/4, 1 1/8, 3/8

3/8, 1 1/8, -3/4 , -1/2​

Answers

Answer:

the first one

Step-by-step explanation:

because the negative number is the least, and the positive is the greatest

I needddddddddd helppppppppp

Answers

Answer:

[tex]\frac{2}{-3}[/tex]

Step-by-step explanation:

To find the slope you only need two points from the table, and the equation [tex]\frac{y1-y2}{x1-x2}[/tex]

(1,-2) (4,-4)

[tex]\frac{-2+4}{1-4}[/tex] = [tex]\frac{2}{-3}[/tex]

Miguel bought a shirt for $13.95, a pair of pants for $16.87, and a hat for $7.79. What was the total amount of money Miguel spent?

Answers

Answer:

they did not pay the same rate.

2 pairs for $50

50÷2=25

Miguel spent $25 on each pair of jeans

4 pairs for $90

90÷4=22.5

Han spent $22.50 on each pair of jeans

Therefore these two did not pay the same rate.

Step-by-step explanation:

Wanna chat add me as a friend OR COME TO Snap (ADAMBELAL839)

Answer:

38.61

Step-by-step explanation:

Each value added to gether to achieve your final value

Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?

Answers

Answer:

x = 32.20 !!

Step-by-step explanation:

Basically what your going to do is 12.80/320 = x/320

320x = 830 * 12.80

Sooooo X=32.20

Hop this helped

solve the solution of the equations 10x-3y=3 and 2x+y=9

Answers

Answer:

x=1.875   y=-0.875

Step-by-step explanation:

10x-3y=3                     10x-3y=3

3(2x+y)=(9)3                +6x+3y=27

                               1/16(16x)=(30)1/16  = x=1.875

   10x-3y=3                  10x-3y=3

 -5(2x+y)=(9)-5           -10x-5y=4                          

                                    1/-8(-8y)=(7)1/-8 = y=-0.875

The table below shows the probability distribution of students in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?

Age
13, 14, 15, 16, 18
Probability
0.01, 0.28, 0.30, 0.25,0.15,0.01

A. 15.28
B. 15.64
C. 15.34
D. 15.36

Answers

Answer: 15.28

Step-by-step explanation:

The expected value for the age of a randomly chosen student is,

⇒ 15.28

Given that:

Total number of students,

⇒ n = 1500,

And, Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Now,

We can Calculate the expected value as shown below,

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38

Therefore, The expected value for the age of a randomly chosen student is 15.38.

To know more about probability:

brainly.com/question/743546

#SPJ7

WHO WANTS BRAINLIST??

Answers

Answer:

Me please

Step-by-step explanation:

I like ice cream :D

Answer:

I do!!! Please may I get it? If someone else asked and you chose them that's fine!

Step-by-step explanation:

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

1/3 + a = 5/4
A=? ..........................................................

Answers

11/12 I’m pretty sure

convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32

Answers

Answer:

59

9/5(15)+32 =59

Step-by-step explanation:

please help UwU
if correct you get Brainiest

Answers

Answer: C

Step-by-step explanation:

Always choose c When in doubt

one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find the remaining surface area of the room and the answer will be in cm​

Answers

Answer:

[tex]Area = 968000cm^2[/tex]

Step-by-step explanation:

To be able to answer this question properly. I'll assume the length of the room is in meters.

So for the room, we have:

[tex]Length = 12.8m[/tex]

[tex]Breadth = 850cm[/tex]

For the bed, we have:

[tex]Length = 300cm[/tex]

[tex]Breadth = 400cm[/tex]

First, we calculate the surface area of the room.

[tex]A_1 = 12.8m * 850cm[/tex]

Convert all units to cm

[tex]A_1= 12.8*100cm * 850cm[/tex]

[tex]A_1= 1 088 000 cm^2[/tex]

Next, we calculate the area of the bed

[tex]A_2 = 300cm * 400cm[/tex]

[tex]A_2 = 120000cm^2[/tex]

The area of the space left  is the difference between A1 and A2

[tex]Area = A_1 - A_2[/tex]

[tex]Area = 1088000cm^2 - 120000cm^2[/tex]

[tex]Area = 968000cm^2[/tex]

What’s the answer to the problem Help me

Answers

250,000 sheets of paper

Answer:

$2000 can get 250000 sheets of papers

Step-by-step explanation:

[tex]500/4=125[/tex]

[tex]125*2000=250000[/tex]

There are 32 females cast in the school play. The ratio of male roles is 3:8. How many males are cast in the school play

Answers

there would be 12 males

50 Points
In the following triangle BD is an angle bisector.
Find x and m∠ABD

Answers

Answer:

X=+6

m angle ABD =62°

Step-by-step explanation:

3x-2=4x-8

3x-4x=-8+2

-x=-6

-x/-=-6/-

minus councils minus

+X=+6

2)

(3x-2)(4x-8)=90°

3x-2+4x-8=90°

X=6

3(6)-2+4(6)-8=90

18-2+20-8=90

re-arrange

18+20-10=90

38-10=90

28=90°

=90-28=62

m✓ABD=62°

PLEASE if am wrong anywhere I'll like a feeds back,but I hope you find this helpful

Somebody help me quick

Answers

Answer: I know D it’s 18.6

It is b because formula is equal to the b

PLEASE HELP ME !!!
:(

Answers

Answer:

Step-by-step explanation:

G is the incenter of ΔABC,

Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.

10). m∠ABG = m∠CBG = 25°

11). m∠BCG = m∠ACG = 18°

  Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°

12). m∠ABC + m∠BAC + m∠ACB = 180°

  2(25)° + m∠BAC + 36° = 180°

    m∠BAC = 180° - 86° = 94°

13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°

14). Since, incenter is equidistant from all sides of the triangle,

     Therefore, DG = GF = FE = 4 units

15). In right triangle BEG,

     tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]

     BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]

           = [tex]\frac{4}{\text{tan}25}[/tex]

     BE = 8.6

16). In right triangle BEG,

     cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]

     BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4

17). In right triangle GEC,

    sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]

    GC =  [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9

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