Determine whether f(x) = 4x^2 – 16x + 6 has a maximum or a minimum value and find that value.
a
maximum; –10
b
minimum; –10
c
maximum; 2
d
minimum; 2

Answers

Answer 1

Answer:

minium:-2................

Answer 2

The function f(x) = 4x² – 16x + 6 has a minimum value is –10 when the value of x is 2. Then the correct option is B.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The function is given below.

[tex]f(x) = 4x^2 -16x + 6[/tex]

Differentiate the function, then we have

[tex]\dfrac{d }{dx} f(x) =\dfrac{d}{dx}(4x^2 -16x + 6) \\\\ \dfrac{d }{dx} f(x) =8x - 16 \\[/tex]

The value of x will be

[tex]8x - 16 = 0\\x = 2[/tex]

Then again differentiate the function, if the value comes negative then maxima and if the value is positive then minima.

[tex]f''(x) = \dfrac{d }{dx} f'(x) \\\\f''(x)=8x - 16 \\\\f''(x) = 8\\\\ f''(x) > 0[/tex]

Then the function is minimum at 2.

More about the differentiation link is given below.

https://brainly.com/question/24062595


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If each square in the grid has a side length of 8mm, what is the length and width of the rectangle?

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Answer:the explanation hopes this helps!!!

Step-by-step explanation:

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The relationship ship between cells and tissues is that a group of SIMILAR cells form a tissue so tissues consist of cells




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Solve for x in the equation x^2-10x+25= 35

Answers

The answer is in the SS below with the steps

Answer:

option B

Step-by-step explanation:

the person above me is correct. i got 100% on the quiz

Kareem but a new collar and a toy mouse for his cat. The collar cost $3.50, the toy mouse cost $2.70, and the tax was 5% how much change did Kareem get from a $10 bill?

Answers

Answer:

Kareem will get $3.49 in change from a $10 bill.

Step-by-step explanation:

3.50 + 2.70= 6.20

6.2 x .05= .31

6.20 + .31= 6.51

10.00 - 6.51= 3.49

$3.49

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Answer:

2. ad is the angle bisector of angle a

3. ad is perpendicular to bc

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5. common

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A mail man leaves home and rides his bike due east for two miles. He drops off a paper at a house. He then turns and travels for 1 mile on a street that is angled north from the first street by 35 degrees. He stops to rest. His pet bird escapes from home and flies directly to where he is resting. How far and in what direction does the bird fly?

Answers

Answer:

The  bird flies  35 degrees north for about 3 to 4 miles

Answer:

Step-by-step explanation:

tan35 = x/2

tan35(2) = .9476 miles, due northeast.

you have two sides and a angle, i used tan to find the opposing side of the turn of the street, which was angled at 35 degrees.

range of 9, 27, 7,11, 13,21,5, and 14

Answers

89 − 5 =84

Answer:

84

Answer:

I got 18

Please correct me If I am wrong thxs.

Step-by-step explanation:

You subtact the high number to a low number

In this case 27 is the highest and lowest is 9

PLEASE HELP ME WITH GEOMETRY SO I DON"T HAVE TO TAKE THE FINAL!!!!

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Triangle similarity problem

Answers

Answer:

ST = 16

Step-by-step explanation:

The similar triangles are given as triangle PQR similar to triangle STU.

That makes sides PQ and ST corresponding sides. It also makes sides PR and SU corresponding sides. The ratios of the lengths of corresponding sides of similar triangles are equal.

[tex] \dfrac{ST}{PQ} = \dfrac{SU}{PR} [/tex]

[tex] \dfrac{5x + 1}{36} = \dfrac{11x - 5}{63} [/tex]

Multiply both sides by 9.

[tex] \dfrac{5x + 1}{4} = \dfrac{11x - 5}{7} [/tex]

Cross multiply.

[tex] 7(5x + 1) = 4(11x - 5) [/tex]

Distribute on both sides.

35x + 7 = 44x - 20

Subtract 44x from both sides.

-9x + 7 = -20

Subtract 7 from both sides.

-9x = -27

Divide both sides by -9.

x = 3

ST = 5x + 1 = 5(3) + 1 = 15 + 1 = 16

Answer: ST = 16

(9+5)t pls help meee

Answers

Answer:

14t

Step-by-step explanation:

the answer is 14t hope this helps

Check this for me guys and lmk!! ASAP thanksss

Answers

Answer:

Step-by-step explanation:

for the first division blank you would get 11/2 or 5 1/2 flip the second fraction and multiply

for the second one it would be 5/2 or 2 1/2

For the third one it would be 3. like i said flip the second fraction and multiply in order to divide correctly

Answer:

2 1/2 for oatmeal

3 for salad

Step-by-step explanation:

In the given figure, line m is parallel to line n, and line a is parallel to line b.

Answers

Answer:

vertical angles theorem

Corresponding angles are two or more angles that have similar properties. Thus they have equal measures.

The required prove is given in the explanation below:

Considering the given diagram, it can be observed that:

<1 ≅ <3 and <2 ≅ <4     (vertically opposite angle theorem)

Also,

<5 ≅ < 7 and <6 ≅ <8    (vertically opposite angle theorem)

m ⊥ n and a ⊥ b             (given)

Thus,

<1 + <2 + <3 + <4 = [tex]360^{o}[/tex] (sum of angles at a point)

Also,

<5 + <6 + <7 + <8 = [tex]360^{o}[/tex]  (sum of angles at a point)

Therefore,

<1 ≅ <7                             (corresponding exterior angle property)

Therefore by corresponding exterior angle theorem, <1 ≅ <7.

Visit: https://brainly.com/question/17883766

Which arrangment shows 27/5,5 3/5, and 33/6 in order least to greatest

Answers

5 3/5, 27/5, 33/6 , hope I helped lmk if I got it right

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The garden is divided into 16 congruent square plots.
What is the side length of each plot?

Answers

Answer:

Step-by-step explanation:

if the garden is a square, then it each side of the garden would be 20. if there's 16 congruent square plots, it means 4 sides of a plot per side of the garden, meaning that the side length of the plot would be 5 meters

The answer is 25 I know it

-6 + 2x = -10 what is x

Answers

Answer:

x = -2

Step-by-step explanation:

-6 + 2x = -10

+6            +6

2x = -4

Divide both sides by 2

x = -2

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Answers

Answer:

nes

Step-by-step explanation:

Answer:

OFCOURSE

Step-by-step explanation:

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Solve the given system of equations utilizing either the substitution or addition method.

Answers

Answer:

x = − 6.3 ,  y = 2.6

Step-by-step explanation:

What number makes this set not a function?
(-1,7) (1,7) (2,7) (-1,7)

-1
1
2
7

Answers

7 because 7 is the most common number
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Explanation: 7 is the most common number

Which number line best represents the solutions to 7 < -2x + 3?

Answers

Answer:

we need a number line for this question...

Step-by-step explanation:

Answer:

x< -2

Step-by-step explanation:

Citing drastic differences between her school and the white school across the
street, Clark fought for for teachers. *
24x - 64x2 - 21x + 56
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(8x2-7)(3x-8)
Osimilar scheduling
O pay equalization
(6x-8)(4x-7)

Answers

Answer:

the pay one

Step-by-step explanation:

i thinks sorry if i get it wrong

Answer: 3x-184

Step-by-step explanation:

first you subtract 24x-21x then you multply 64*2 then add 56 to the answer 0f 64*2

Solve for N
2/9n= −6

Answers

Answer:

n=-27

Step-by-step explanation:

Step-By-Step on how to solve it is in the image shown below.

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A company paid $ 391 for 15 bushes and 8 bonsai trees . They had to purchase 9 more bushes and 5 more bonsai trees for $ 241 . What is the cost of each bush and bonsai tree ? the boxes below .

Answers

Answer:

Cost of one bush = x = $9

Cost of one bonsai tree = y = $32

Step-by-step explanation:

Let Cost of one bush = x

Cost of one bonsai tree = y

From the expression: A company paid $ 391 for 15 bushes and 8 bonsai trees

We made equation: [tex]15x+8y=391[/tex]

and From the expression: They had to purchase 9 more bushes and 5 more bonsai trees for $ 241 , we made equation: [tex]9x+5y=241[/tex]

Solving both equations simultaneously we can find value of x and y

Let:

[tex]15x+8y=391--eq(1)\\9x+5y=241--eq(2)[/tex]

We will use elimination method to solve these equations.

Multiply eq(1) by 5 and eq(2) by 8 and subtract

[tex]75x+49y=1955\\72x+40y=1928\\- \ \ \ - \ \ \ \ \ \ \ -\\--------\\3x=27\\x=\frac{27}{3}\\x=9[/tex]

So, value of x=9

Now finding value of y by putting value of x in equation 1

[tex]15x+8y=391\\Put \ x=9\\15(9)+8y=391\\135+8y=391\\8y=391-135\\8y=256\\y=\frac{256}{8}\\y=32[/tex]

So, value of y=32

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Cost of one bonsai tree = y = $32

A pair jeans on sale for 20% off the sale price is $55 what is the original amount of the pair of jeans

Answers

Answer:

$66

Step-by-step explanation:

Answer:

the original price of the jeans

The price is 66+

Step-by-step explanation:

Find 20% of the jeans (11$) then add that 11$ to the price of the jeans.  final answer: $66

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whats the factor of this expression?
10x + 40y?

Answers

Answer:

10(x + 4y)

Step-by-step explanation:

factor of 10x + 40y

10(x + 4y)

Answer:

10(x + 4y)

Step-by-step explanation:

The graph models the value of an automobile over a 7 year period of time.
Which equation best represents the relationship between x, the age of the automobile in years, and y, the value of the automobile in dollars​

Answers

Answer:

y=-500x+22,000

Step-by-step explanation:

It's this one because the 22,000 shows the initial value of the automobile and -500x is how much value the automobile loses per year.

Answer:

Y = mx + c

C = 22,000

But slope is unknown

Y= mx + 22000

The length of a rectangular garden is 5 meters long. The area of the garden is 10 square meters.
Which equation correctly relates the given information and the width, www?

Answers

length=5 meters

area=10meters squared

area=length times width

10=L*W

10=5L

Length=2meters

Answer:

length=5 meters

area=10meters squared

area=length times width

10=L*W

10=5L

Length=2meters

Step-by-step explanation:

A unit rate is a rate in which A one of the quantities is 1. B the quantities add up to 1. C both of the quantities are 1. D neither of the quantities is 1.

Answers

Answer: A. because it is the only one that makes sense, the unit rate is where the second quantity is one unit: etc. 1 minute=60 seconds1 hour=60 minutes (or) 3600 seconds1 day=24 hours (or) 1440 minutes.

2 +2
6+6
794×890 ×572 ×89

e​

Answers

Answer:

2+2=4

6+6= 12

794*890*572*89=33145180640

Step-by-step explanation:

which of these is an example of typing at an average of 42 words per minute

Answers

There aren’t any options but maybe 42m where m represents the minutes. So for every minute it will be multiplied by 42

A hardware store sells power pack A, consisting of 4 D cells and 2 C cells for $12.60, and power pack B, consisting of 6 D cells and 4 C cells for $20.80. What is the price of each cell?

Answers

Answer:

The D cells are worth $2.20, and the C cells are worth $1.90.

Step-by-step explanation:

This can be written as:

4x + 2y = 12.60

6x + 4y =20.80

Our goal is to find one variable, then use that information to find the other.

If we multiply the top function by -1.5, we get:

-6x - 3y = -18.90

We can add this to the previous equation.

  -6x - 3y = -18.90

+ 6x + 4y = 20.80

--------------------------

             y = 1.90

The C cells are worth $1.90.

Plug this value into one of the other equations and solve for x.

4x + 2y = 12.60  

4x + 2(1.90) = 12.60

4x + 3.80 = 12.60  

4x = 8.80

x = 2.20

The D cells are worth $2.20.

Check these values in the other equation.

6x + 4y = 20.80

6(2.20) + 4(1.90) = 20.80

13.20 + 7.60 = 20.80

20.80 = 20.80

Answer:

  C = $1.90 each

  D = $2.20 each

Step-by-step explanation:

Given:

  Power pack A:   4D + 2C = 12.60

  Power pack B:   6D + 4C = 20.80

Isolate any one variable:

  4D + 2C = 12.60

  4D = 12.60 - 2C

  D = 3.15 - 0.5C

Substitution to find cost of C cell battery:

  6D + 4C = 20.80

  6(3.15 - 0.5C) + 4C = 20.80

  18.9 - 3C + 4C = 20.80

  18.9 + C = 20.80

  C = 1.90

Substitution to find cost of D cell battery:

  4D + 2C = 12.60

  4D + 2(1.90) = 12.60

  4D + 3.8 = 12.60

  4D = 8.8

  D = 2.20

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