-3x^2+ 3
What is the difference quotient

Answers

Answer 1

Answer:

-6x - 3h

Step-by-step explanation:

Write as a function.

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

Consider the difference quotient formula.

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

Find the components of the definition.

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

Plug in the components.

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

Simplify

[tex]\frac{3h(-h-2x)}{h}[/tex]

-6x - 3h

good luck, i hope this helps :)


Related Questions

What is the area of this triangle?
Enter your answer in the box.

Answers

Answer:

10 square units

Step-by-step explanation:

Base of triangle (b) = 4 units

Height of triangle (h) = 5 units

Therefore,

Area of triangle

[tex] = \frac{1}{2} bh \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]

Find an explicit rule for each geometric sequence using subscript notation. Use a calculator and round your answers to the nearest tenth if necessary.

The fifth term of a geometric sequence is 7. The sixth term is 3.5.

Answers

Answer:

aₙ = 224(1/2)ⁿ  

Step-by-step explanation:

Given GP with:

a₅ = 7a₆ = 3.5

We can find the common ratio:

r = 3.5/7 = 1/2

Using the nth term formula we can work out the first term:

aₙ = a₁rⁿ⁻¹a₅ = a₁(1/2)⁴7 = a₁ (1/16)a₁ = 7*16a₁ = 112

So the explicit rule is:

aₙ = 112(1/2)ⁿ⁻¹ = 224(1/2)ⁿ

A warehouse has 1,750 boxes of water bottles. A truck unloaded another 530 boxes at the warehouse. Each box holds 48 bottles of water. How many bottles of water are in the warehouse?

Answers

Answer:

109440

Step-by-step explanation:

1750 boxes of water bottles with 48 bottles of water each: 1750 x 48 = 84000

plus the other 530 boxes at the warehouse which alone are: 530 x 48 = 25440

adding up 84000 + 25440 = 109440

The total number of bottles of water in the warehouse will be 27,190.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A warehouse has 1,750 boxes of water bottles.

A truck unloaded another 530 boxes at the warehouse.

Each box holds 48 bottles of water.

Then the number of bottles that were unloaded by truck will be

⇒ 530 x 48

⇒ 25,440

Then the total number of bottles of water in the warehouse will be

⇒ 25,440 + 1,750

⇒ 27,190

The total number of bottles of water in the warehouse will be 27,190.

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PLS HURRY AND ANSWER I NEED THE ANSWER!!!! PLS
An icecream machine can make 6 quarts in 8 hours. At this rate, how
many quarts can it make in 64 hours?
A.
42
B.
36
C.
24
D.
48

Answers

Answer:

48 i think

Step-by-step explanation:

im not 100% persint sure

Yeah 48 I think it’s that too

I NEED HELP ASAP I WILL MARK YOU BRAINLIEST
What is the definition of Linear Angle?

A pair of angles that lie on the same plane, have a common vertex, and share a common side
or
A pair of angles that have a common side and same vertex, and the sides points in opposite directions.
or
A pair of angles that are opposite of each other and formed by two intersecting lines.

Answers

Answer:

The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles. The adjacent angles are the angles which have a common vertex.

I can do the previous part but I don't know what to do here

Answers

There is no picture

Answer:

25°; 115°.

Step-by-step explanation:

all the details are in the attached picture, the answers is marked with red colour.

27 - [ 38 - { 46 - ( 15 - 25) }]​

Answers

Answer:

45

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

27-[ 38-(46-(15-15))]

=27-38-46-0]

=27-(-8)

=27+8

+35

15x+3y=-2 in slope-intercept form

Answers

Answer:

Y=-5x-2/3

Step-by-step explanation:

Answer:

y=-5x+2/3

Step-by-step explanation:

15x+3y=-2

-15x       -15x

3y=-15x-2

3y/3=-15x/3-2/3

y=-5x+2/3

a certain antihistamine is often prescribed for allergies. a typical dose for a 100-pound person is 21 mg every 6 hours.
a. how many 12.7 mg chewable tablets would be taken in a week?
b. this antihistamine also comes in a liquid form with a concentration of 12.7 mg / 6 ml following the prescribed dosage how much liquid antihistamine should a 100-pound person take in a week?​

Answers

Answer:

a)46 tablet approx

b)277 ml approx

3grams as a percentage of 20 grams

Answers

Answer: 0.6 grams

Solve: 3% of 20 = 0.03 × 20 = 0.6

Jason has these coins in a jar.
What is the total value of these coins?

Answers

Answer:

55

Step-by-step explanation:

because 25+10+10+5+5=55

The total value of the coins in the jar is A = $ 0.55

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The number of quarters = 1

So , the value of quarters = $ 0.25

The number of cents = 2

So , the value of cents = $ 0.20

The number of nickels = 2

So , the value of nickels = $ 10

And , the equation will be

A = value of quarters + value of cents + value of nickels

On simplifying , we get

A = 0.25 + 0.20 + 0.10

A = $ 0.55

Therefore , the value of the coins is A = $ 0.55

Hence , the equation is A = $ 0.55

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Se compraron dos sacos
de azúcar de 50 kg cada
uno, ¿cuántas bolsas de
una libra se llenarán con
esa azúcar?
R​

Answers

Answer:

10 es la respuesta amigo buenas tardes

if fast will marik brainliest

Answers

Answer:first

Hiiiiiiiiiiiiiiii thank you have an amazing day ;)))

what is the expression in the factored x2+7x+6

Answers

Answer:

Step-by-step explanation:

x² +7x + 6  = (x+1)(x+6)

Write 22 as a product of three primes
For a 5 star rating and heart/thanks

Answers

1 x 22

11 x 2

2 x 11

Notation: Segment YQand Notation: Segment XP are altitudes to the congruent sides of isosceles triangle WXY.


Select all the true statements.

Answers

Answer:

Isosceles triangle has two equal sides and two congruent bases.

Step-by-step explanation:

Isosceles triangle has three sides out of which two are equal. It has two congruent sides. The angle opposite to base is vertex. The two sides of the triangle are congruent and the angles opposite to these sides are also congruent. It is a special type of triangle which is also called equilateral triangle.

Find the value of x
A.15
B.25
C.35
D.45

Answers

Answer:

B

Step-by-step explanation:

Does anyone know where I can find revision questions that will help me in my maths Gcse?​

Answers

Step-by-step explanation: amazon they have everything

True or false? The graph represents a function.

Answers

true if you use the vertical line test there is never two points

Question 3(Multiple Choice Worth 2 points) (13.02 LC) What unit of measurement would you use to measure the length of your foot? Centimeter Kilometer Millimeter Meter

Answers

Answer: centimeter

Step-by-step explanation:

The best unit of measurement for measuring the foot will be centimeter.

What is unit of measurement?

A unit of measurement is a standardized quantity of physical property, used as a factor to express the quantity of that property that exists. Among the first devices invented by humans were measuring units.

Given that, which will be the best unit of measurements for measuring the foot,

So, from the given options, the kilometer is very long for a human foot, millimeter is too small for a human foot and meter is also slightly longs,

We often measure the human body parts like hand, nose, tongue etc. in cm.

Hence, the best unit of measurement for measuring the foot will be centimeter.

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Plzz solve this easy calculus :')

Answers

Answer:

[tex] \sin \: x - \cos x \: + c[/tex]

Step-by-step explanation:

[tex] \int \frac{cos2x}{ \sqrt{1 - sin2x} } dx \\ \\ = \int \frac{ {cos}^{2}x - {sin}^{2}x } { \sqrt{ {sin}^{2}x + {cos}^{2}x - 2sinx \: cosx } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} { \sqrt{ {({cos}x - {sin}x )}^{2} } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} {{ {({cos}x - {sin}x )} } } dx \\ \\ = \int({cos}x + {sin}x)dx \\ \\ = \int{cos}x \: dx + \int{sin}x \: dx \\ \\ = \sin \: x - \cos x \: + c[/tex]


round your answer to the nearest tenth

Answers

Answer:hi

Step-by-step explanation:

How many days will it take a culture of bacteria
to increase from 400 to 40,000 if the growth rate
is 83.4% per day?
A. 7.1 days
B. 7.4 days
C. 7.6 days
D. 7.9 days

Answers

Answer:

BTris-HCl (0.5M Tris Base, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

20X Tris-HCl (1M Tris Base, pH7.6):

Trizma Base ---------------------------------- 122 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:20 with distilled water before use

and adjust pH if necessary.

10X Tris-HCl-Tween 20 (0.5M Tris Base, 0.5% Tween 20, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl and then add 5 ml of Tween 20.

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

Note: Tris-HCl Buffer is used for specific cases of immunohistochemical staining.

*** OR you can use Tris Base to make Tr

Answer:

Step-by-step explanation:

7.6 days



Identify the independent and dependent variables.
The equation A = 25w represents the area A (in square feet) of a rectangular dance floor with a width of w feet.
The independent variable is
The dependent variable is

Answers

Answer

The Independent variable is w and the Dependent is A


X
2
3
4
5
Y

27
38
49
60
Does the table show a proportional relationship

Answers

Answer:

ishiwhsjahjabzjwbjahsjabJ

Answer:

laksnsjisbsiagsjshshahsoavalao

(a) The 10 members of the swim team completed the following numbers of laps at today's practice:

77, 79, 80, 82, 84, 85, 86, 87, 90, 91.

Which measure should be used to summarize the data?

Mean?
Median?
Mode?​

Answers

Answer:

mean

Step-by-step explanation:

The method to summarize the data will be mean

The mean of the laps of swim team is 84.1 laps

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the data be represented by the set A

Let the mean of the data set be M

The value of set A = { 77 , 79 , 80 , 82 , 84 , 85 , 86 , 87 , 90 , 91 }

The total number of data elements in the set = 10

Now , since all the data elements are distributed normally and does have a central point

So , it follows normal distribution

Therefore , the mean of the data will be

Mean M = Sum of Values / Number of Values

Mean = ( 77 + 79 + 80 + 82 + 84 + 85 + 86 + 87 + 90 + 91 ) / 10

Mean = 841 / 10

Mean M = 84.1 laps

Therefore , the value of M is 84.1

Hence , The method to summarize the data will be mean

The mean of the laps of swim team is 84.1 laps

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Write an equation of the line that passes through (1, 2) and is parallel to the line
y = -5 +4. What’s the answer

Answers

Answer:

5x

Step-by-step explanation:

hope this helps

Are 2(x - 3) + 1 and 2x + 6 equivalent expressions​

Answers

Answer:

No.

Step-by-step explanation:

2(x-3) + 1  = 2x - 6 + 1 = 2x - 5

2x + 6   ≠   2x -5, so no, they aren't equivalent.

The expression 2(x - 3) + 1 and 2x + 6 are not Equivalent.

What is Equivalent Expression?

Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).

We have two expressions to compare 2(x- 3) + 1 and 2x +6 .

Now, simplifying the first expression as

= 2(x -3) + 1

= 2x - 6 +1

= 2x - 5

and, the second expression is 2x + 6.

Thus, both of expression are not Equivalent.

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The expression 6x - 3 represents the total number of stuffed animals Deena has in her collection. She decides to put the
stuffed animals in 3 equal piles. Which expression can be used to represent the number of stuffed animals Deena puts in
each pile?

Answers

Answer:

2x-1 (simplest)

Step-by-step explanation:

First put parentheses around 6x-3

The expression is (6x-3)/3

Simplify 2x-1

Make sure you divide both terms though (common mistake only dividing 1)

William was out at a restaurant for dinner when the bill came. His dinner came to $31. After adding in a tip, before tax, he paid $39.99. Find the percent tip.

Answers

Answer: 12.9

Step-by-step explanation: Divide 39.99 by 31.00 you'll get 1.29, but you slide the decimal over and get 12.9

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