3.2666 rounded to the nearest hundredth

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:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

5-12=-7

hope this helps lol

Answer: its 8y-20

You need to rmove the parenthesis and combine like terms

Answer:

I think It is 8 as well, but not sure

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

2/5  or 0.4

Step-by-step explanation:

This is simplified. For  the question 4/10 .

Answer:

f(x)=(x-1)(x+1)^2(x-4)^3

Step-by-step explanation:

The zeros of the function are x=-1, x=1, and x=4, so its factors are x+1, x-1, and x-4.

The graph touches, but doesn’t cross, the x-axis at x=-1. So the factor x+1 is a repeated factor with an even multiplicity.

The graph crosses the x-axis at x=4, but with a little curve before and after it meets this point. So the factor x+4 is a repeated factor with odd multiplicity.

The graph crosses the x-axis at x=1 with no curve before or after. So the factor x-1 is not a repeated factor.

Therefore, function f is defined by f(x)=(x-1)(x+1)^2(x-4)^3.

The sixth-degree polynomial that shows in the graph is [tex]\rm f(x) = (x+1)(x-1)^2(x-4)^3[/tex] and this can be determined by evaluating the x-intercept of the given graph.

Given :

Sixth-degree polynomial -- [tex]\rm f(x) = (x-b)(x-c)^2(x-d)^3[/tex]

The following steps can be used in order to determine the value of b, c, and d:

Step 1 - Write the given sixth-degree polynomial.

[tex]\rm f(x) = (x-b)(x-c)^2(x-d)^3[/tex]

Step 2 - Observe the given graph and determine the x-intercept of the graph of the sixth-degree polynomial.

Step 3 - So, the x-intercepts that are the values of b, c, and d is given below:

b = -1

c = 1

d = 4

Step 4 - Substitute the values in the given sixth-degree polynomial.

[tex]\rm f(x) = (x+1)(x-1)^2(x-4)^3[/tex]

For more information, refer to the link given below:

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Answer:

The security cost is 575

Step-by-step explanation:

Given

[tex]y = 151x + 575[/tex]

x = days

y = cost

Required

Determine the security deposit

From the equation, we understand that

x represent days:

This implies that

151x represent the payment for x days.

So, the security cost is 575

Answer:

1,000 lightbulbs that day were tested

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

use distributive property on the () and times x and 1 by three

then you subtract 6 from both sides

then subtract three from both sides

then divide both sides by 3

your work would look like this:

3(x+1)+6=-9

3x+3+6=-9

3x+3=-15

3x=-18

x=-6

Hope this helps!

Answer:

X=6

Step-by-step explanation:

3(x+1)+6=−9

Step 1: Simplify both sides of the equation.

3(x+1)+69(3)(x)+(3)(1)+6=−9

(Distribute)

3x+3+6=−9(3x)+(3+6)=−9

(Combine Like Terms)

3x+9=−93x+9=−9

Step 2: Subtract 9 from both sides.

3x+9−9=−9−93x=−18

Step 3: Divide both sides by 3.

3x3=−18/3

x=−6

Answer:

It will take 5 months for the two fitness clubs to have the same number of members

Step-by-step explanation:

Let the number of months it takes fitness club A  and B to have the same number be = x

For the two clubs to have the same number in x months, that means we can set up an equation as follows

450 +15x = 400 + 25x

Grouping like terms

450 - 400 = 25x -15x

50 = 10x

x= 5

Therefore, it will take 5 months for the two fitness clubs to have the same number of members

Answer:

Yes this is a function

Step-by-step explanation:

For every inout there is one output

Answer:

false

Step-by-step explanation:

3(7) = 21+9 = 30

Answer:

False

Step-by-step explanation:

Hope This Helps!!!

Answer:

0.7

Step-by-step explanation:

Answer:0.7

Step-by-step explanation: you can use a Calculator to help

Answer:

B; SECOND GRAPH

Step-by-step explanation:

Took the test

The set of ordered pairs that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

A relation is a relationship between the input (x-values) and output (y-values), which can be displayed on a graph on a coordinate plane on the vertical axis and the horizontal axis.

From the graph given as shown in the image attached below, the set that has same coordinate points as indicated on the graph is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

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Answer: B

Step-by-step explanation:

Answer:

a. x = -4

c. x = 9

Step-by-step explanation:

Values of g(x), output values, are plotted on the y-axis, while the corresponding x values, input, of the function are plotted on the x-axis.

We are to determine all possible input values (x-values) that will give us an output value, g(x) = 8.

On the graph, look at the point where y = 8, on the y-axis. When y = 8, we have two possible values of x. They are -4, and 9.

Thus:

g(-4) = 8

g(9) = 8.

The possible input values for which g(x) = 8, are x = -4, and x = 9.

Answer:

The height, h, of the rock as a function of the horizontal distance from Jeremy's hand is h = -13/784·(x - 28)² + 17

Step-by-step explanation:

The given parameters are;

The height of the rock above the water when it leaves Jeremy's hand = feet

The maximum height of the rock = 28 feet

The horizontal distance at maximum height = 17 feet

Therefore, the given coordinates of the maximum height = (28, 17)

The equation of a parabola in vertex form is f(x) = a(x - h)² + k

Taking the maximum point as the vertex of the parabola, we have;

(h, k) = (28, 17)

Substituting the values gives;

f(x) = a·(x - 28)² + 17

At x = 0, the height = 4, we have;

f(0) = 4 = a·(0 - 28)² + 17

4 - 17 = a×28²

-13 = 784 × a

a = -13/784

Therefore, the height of the rock, f(x) = h, as a function of the horizontal distance from Jeremy's hand is therefore;

f(x) = h = -13/784·(x - 28)² + 17

Answer: its c or 35

Step-by-step explanation: because at 10 salespeople its 40, so 9 salespeople is 35

Answer:

240÷48=5 no of buses needed, use division

Answer:

2 x-intercepts at 3 and 9

Step-by-step explanation:

x^2-12x+27=0

(factoring)

(x-3)(x-9)=0

this tells us that there is going to be a x-intercept at both 3, and 9, and that there is no stretching of it. It would look like this.

Answer:

25

Step-by-step explanation:

It's what the others said, i'll change it if it's wrong

Based on the description of cost and the equation used, m in the equation would represent $25

m in the equation, y = mx + b, is the gradient. It is the figure that shows how much the cost will change in relation to time or activity.

In other words, m is the variable cost.

The only variable cost above is $25 which is variable because it increases per hour worked. m is there $25.

In conclusion, m is $25.

Find out more on the equation y = mx + b at https://brainly.com/question/9983274.

Answer:

40

Step-by-step explanation:

15/40 divided by 5= (15 divided by 5)/(40 divided by 5)= 3/8

Answer:

a = 40

Step-by-step explanation:

Cross multiply, then divide:

I hope this helps!

Answer:

9.5

Step-by-step explanation:

Step-by-step explanation:

After travelling 3/4 distance on the circular track, radii of the circle will make right angle and the displacement would be equal to the hypotenuse of this right triangle. Which by Pythagoras theorem is given as:

[tex]displacement \\ = \sqrt{ {400}^{2} + {400}^{2} } \\ = \sqrt{160000 + 160000} \\ = \sqrt{2 \times 160000} \\ = 400 \times 1.414 \\ = 565.6 \: m \\ \\ distance \\ = \frac{3}{4} \times circumference \: of \: circle \\ = \frac{3}{4} \times 2\pi \: r \\ = \frac{3}{4} \times 2 \times 3.14 \times 400 \\ = 6 \times 314 \\ = 1,884 \: m[/tex]

Answer:

x is bigger than or equal to 5.

Answer:

(-3, 2)

Step-by-step explanation:

Answer: (-3,2) is the Answer.

Step-by-step explanation:

Mark me brainliest please!

Answer:

Domain: [-2, 0, 2, 4]

Range: [3]

Step-by-step explanation:

The domain of the function are all values of x that are plotted on the horizontal axis (x-axis), while the range are the corresponding y-values plotted on the vertical axis (y-axis).

Therefore,

Domain of the function = [-2, 0, 2, 4]

Range of the function = [3] (only 1 possible value of y can be seen as plotted on the gray]

Answer:

1

Step-by-step explanation: