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The difference quotient for f(x) = 3x2 – 12 is 6x + 3h

The function is given as:

f(x) = 3x^2 – 12.

Calculate f(x + h)

f(x + h) = 3(x + h)^2 – 12

The difference quotient is then calculated using:

[tex]f'(x) = \frac{f(x + h) - f(x)}{h}[/tex]

This gives

[tex]f'(x) = \frac{3(x + h)^2 - 12 - 3x^2 + 12}{h}[/tex]

Evaluate the difference

[tex]f'(x) = \frac{3(x + h)^2- 3x^2}{h}[/tex]

Expand

[tex]f'(x) = \frac{3x^2 + 6xh + 3h^2- 3x^2}{h}[/tex]

Evaluate the difference

[tex]f'(x) = \frac{6xh + 3h^2}{h}[/tex]

Evaluate the quotient

f'(x) = 6x + 3h

Hence, the difference quotient for f(x) = 3x2 – 12 is 6x + 3h

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Answer:

11 (2c+3d)

Step-by-step explanation:

Answer:

11 x(2c + 3d)

Step-by-step explanation:

Could you please add answer choices next time?

Answer:

28 or 28.11111 because I don't know if it asked you to round or not.

Step-by-step explanation:

Mean is the average of a group of number added together and divided by the number of number there are.

20+22+25+28+29+30+32+33+34 = 253

Now we will divide by the number of numbers we have there are 9 numbers.

Soooo.

253/9= 28.1111111

(Round)

28

Answer:

28 1/9 or 28.1111... (0.1 repeating)

Step-by-step explanation:

20 + 22 = 42

42 + 25 =  67

67 + 28 = 95

95 + 29 = 124

124 + 30 = 154

154 + 32 = 186

186 + 33 = 219

219 + 34 = 253

253 / 9 = 28 1/9 or 28.11111...

Hope this helped!

Answer:

Step-by-step explanation:

perp. 1/9

y - 0 = 1/9(x - 0)

y = 1/9x

Answer:

Between 7 and 8

Answer:

7  < √ 51 <  8

√51 lies between 7 and 8

Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula

P = 2(L) + 2(W)

Total Length of the garden =

=

Length = 18.5 feet

Total width of the garden =

=

Width = 9.0 feet

Perimeter of the garden = 18.5 + 9 = 27.5 feet

Mark wants to fence 4 garden

Therefore, 27.5 × 4 = 110 feet.

Mark needs 110 ft. fencing to surround all 4 gardens.

Answer:

4 1/2 +1 1/2= 5 1/2

Step-by-step explanation

Answer:

4

Step-by-step explanation:

edge

The average rate of the function is 4.

The average rate of change of a function f(x) over an interval [a, b] is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using [f(b) - f(a)] / (b - a). In other words, the average rate of change (which is denoted by A(x)) is the "ratio of change in outputs to change in inputs". i.e.,

A(x) = (change in outputs) / (change in inputs)

= Δy / Δx

= [f(b) - f(a)] / (b - a)

given function:

f(x) = -x² + 6x + 12

Now,

let a= -3, b = 5

and, f(b)= -(5*5) + 6*5 + 12

 =-25+ 30 +12

 = 17

f(a) = -(- 3 * (-3))+6(-3) +12

  = -9-18+12

  = -15

Now,

f(b)- f(a) / (b-a)

=17 -(-15))/5-(-3)

=32/ 8

=4

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Answer:

The answer is 4/1763 in fraction

In decimal, the answer is 0.001 rounded to thousandths.

Step-by-step explanation:

If you want to divide this, you will have to make this expression to a fraction

to 8/3526. Divide the highest numerator if the fraction can simplify. It looks like 3526 can only be simplified by being divided by 2. Divide 2 to each side of the fraction. You should get 2/1763 as a fraction.

Answer:

Step-by-step explanation

What the question about solve or what?

Answer:

x=5

Step-by-step explanation:

4x + 8 = 28,

it's rather straight forward,

you would subtract 8 from the left side,

doing the same on the right.

now you have

4x = 20

x= 20/4

x=5

hope this helps.

Multiplying a matrix by a constant scales every entry in the matrix by that constant:

[tex]A=\begin{bmatrix}-3&5&2\\8&-1&3\end{bmatrix}\implies-6A=\begin{bmatrix}18&-30&-12\\-48&6&-18\end{bmatrix}[/tex]

Answer:

the ability of an object or material to resume its normal shape after being stretched or compressed; stretchiness.

Step-by-step explanation:

Answer:

the ability of an object or material to resume its normal shape after being stretched or compressed

Answer:

D. all atoms are the same

Even though two atoms are chemically identical and might even chemically react in the same way, they are not completely the same to each other

Answer:

x represents a pound of cherries, and y represents the cost. you need to change 20 to 24. And add 0:0 1:8 2:16 and 3:24

Step-by-step explanation:

Answer:

1.5(2x5)

Step-by-step explanation:

just swap the things in the parenthases

could u vote me brainliest plz? thx :)

Answer:

a) -1/3 b) 3 c) y=3x-10

Step-by-step explanation:

Answer:

F(X)= 3x + 1

Step-by-step explanation:

Answer:

B. Subtract 2π from both sides.

Step-by-step explanation:

In order to solve for r, you are gonna want to isolate it. To do so, you first have to subtract 2π from both sides.

Answer:

[tex](2 \times 7) - (9 \times 6) = - 40[/tex]

Answer:

8

Step-by-step explanation:

56/7

Answer:

$8

Step-by-step explanation:

56 divided by 7 is 8, making the unit price 8 dollars per ticket

Answer:

to the third power ?

Step-by-step explanation:

Answer:

The answer is 27!

Step-by-step explanation:

9 plus 9 equals 18 plus 9 equals 27!

Answer:

Step-by-step explanation:

Answer for seconds in second row:

Answer for glasses in third row:

I hope this helps!

Answer:

x < 2

Step-by-step explanation:

Answer: Upper: Kings, priests, warriors, and government officials.

Middle: artisans, merchants, farmers, and fishers

Lowest: enslaved people, who worked on farms.

Step-by-step explanation:

C. prisoners of farmers, and rich people/they were maids and cleaned up everything.

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{ \frac{11}{2} }}}}[/tex]

Step-by-step explanation:

[tex] \text{Let \: the \: points \: be \: A\: and \: B} [/tex]

[tex] \text{A \: ( - 4 \:, 7 \: )} \longrightarrow \: \text{(x1 \:, y1)}[/tex]

[tex] \text{B \: ( \: - 6 \:, - 4 \: )} \longrightarrow \text{(x2 \:, y2)}[/tex]

[tex] \underline{ \text{Finding \: the \: slope} }: [/tex]

[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex]↣ \: \sf{slope = \frac{ - 4 - 7}{ - 6 - ( - 4)} }[/tex]

[tex] \underline{ \text{Remember}} : [/tex]

[tex] \sf{↣ \: slope \: = \: \frac{ - 4 - 7}{ - 6 + 4}} [/tex]

[tex] \underline{ \text{Remember}}: [/tex]

[tex] \sf{↣ \: slope = \frac{ - 11}{ - 2} }[/tex]

[tex] \sf{↣ \: slope \: = \frac{ \cancel{ - } \: 11}{ \cancel{ - } \: 2} }[/tex]

[tex] \sf{↣ \: slope \: = \frac{11}{2} }[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

slope = -1/2

Step-by-step explanation:

From the graph, pick two points:

[tex](x_{1} , y_{1} ) (x_{2} , y_{2} )[/tex]-> (0, -2) and (-4, 0)

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

so (-2 - 0)/(0-(-4)) = -2/4 -> -1/2

Answer:

the rule is y=x^3

Step-by-step explanation:

2 times 4=8

3 times 8 is not 27

1 times 1=1

2 times 4=8

3 times 9=27

1 times 1^2=1

2 times 2^2=8

3 times 3^2=27

x times x^2=x^3

I hope this helps you! :)

-KeairaDickson

Answer:

x=12 the other answer is 144.

Step-by-step explanation:

You set the expressions equal to each-other which gives you what x equals. then you substitute that in the A expression which gives you 144