Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 2 F(x + h) =

Answer:

a) 2600

b) 1820

Step-by-step explanation:

let the number be 'x'

a)

[tex]x = 2000 + \frac{30}{100} (2000)[/tex]

[tex]x = 2000 + 600 = 2600[/tex]

b)

[tex]x = 2600 - \frac{30}{100} (2600)[/tex]

[tex]x = 2600 - 780 = 1820[/tex]

Answer:

-31

Step-by-step explanation:

First let's plug in the value of z into the expression as it looks easier than expanding,

6(-1) + 5(-2(-1)-7)

Now we follow the order of PEMDAS,

6(-1) + 5(2-7)

6(-1) + 5(-5)

-6 - 25

-31

Answer:

Step-by-step explanation:

Regular hexagon has six equal sides

Perimeter = 5 + 5 + 5 + 5 + 5 +5   or 6*5

                = 30 cm

Answer: see below

Step-by-step explanation:

coefficient: the numerical before a variable (3x)

constant: a number that is represented as an individual (5)

variable: any nonnumerical symbols (x)

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

4x-7+15z-y+20

coefficient: 4 (4x), 15 (15z), -1 (-y)

constant: -7, 20

variable: x, y, z

Hope this helps!! :)

Please let me know if you have any question

Answer:

HCF of 96 and 404 by prime factorisation method:-

Since, 96 = 2 × 2 × 2 × 2 × 2 × 3

and, 404 = 2 × 2 × 101

So, HCF of 96 and 404 = Product of common prime factors

                                 = 2 × 2 = 4

LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3

       = 9696

Step-by-step explanation:

i think i

don't no

Answer:

5

Step-by-step explanation:

7c³d²

This term has tow variables, c and d

Power of c is 3

Power of d is 2

Degree of this monomial is = 3+2 = 5

Answer:

The answer is 12

Answer:

1/8 of a kilogram of couscous.

Step-by-step explanation:

With the information given, to be able to determine the kilograms of couscous that each person gets, you have to divide 1/4 kilogram that is the amount that the man has by 2:

[tex]\frac{1}{4}[/tex]÷2= [tex]\frac{1}{4}[/tex]*[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{8}[/tex]

According to this, the answer is that each person gets 1/8 of a kilogram of couscous.

Answer:

In the Northern Hemisphere, soil on south-facing slopes dries out faster and is warmer than soil on north-facing slopes due to longer exposure to sunlight – the opposite applies in the Southern Hemisphere.

Step-by-step explanation:

Answer:

x=⅔

Step-by-step explanation:

5x=20/6. multiply both sides by 6 to remove the denominator

5x(×6)= 20×6

6

30x=20

divide both sides by 30 to obtain the value of x

30x=20/30

30

x=20/30

x=⅔

Answer:

Missing data points

Step-by-step explanation:

Given that there are 12 calendar months in a year, and there are clearly defined raining season in some areas which may last for months, following periods of low rainfall or zero precipitation, the sample should include all the months of the year so as to ensure, that the effect that causes rainy season such as the landward direction of moist air from the sea or the seaward of air during periods of dry season.

Other possible causes includes;

Heteroscedasicity

This occurs when the variability of the dependent variable is not constant with regards to the independent variable

Multiple linear regression

The relationship between rainfall and air pressure as well as other factors is a multiple linear regression

Answer:

she can make 4 batches of brownies

Step-by-step explanation:

since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more

3+1=4

hope this helps

The batches of brownies can Luisa make is 4 batches.

It is required to find the the batches of brownies can Luisa make.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

3 batches of brownies from 3/2 cups of chocolate left.

Step-by-step explanation:

From the question, we know that:

1/2 cups of chocolate = 1 batch of brownies

3/2 cups of chocolate = x

Cross Multiply

1/2 × x = 3/2

x = 3/2/1/2

x = 3/2 × 2/1

x = 3 batches.

That means she can make 3 more

3+1=4

Therefore, the batches of brownies can Luisa make is 4 batches.

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Answer:

yes

Step-by-step explanation:

Calculate the circumference (C) using

C = πd ( d is the diameter )

    = 180π cm

Each guest needs 70 cm, thus

180π ÷ 70 ≈ 8.078 ← number of guests at 1 table

18 × 8.078 = 145.404 ← number of guests at 18 tables.

There is enough tables to seat 145 guests

You need to work out the current UK percentage first.

Answer:

205 litres

Step-by-step explanation:

Given:

Volume of water is given as:

[tex]V=100+20m[/tex] (in litres)

m is the time in minutes spent filling water in Eduardo's pool.

To find:

Volume of water in the pool after the water is filled for [tex]5\frac{1}{4}[/tex] minutes.

Solution:

Here, volume of water in the Pool (in litres) is given by the equation:

[tex]V=100+20m[/tex] ....... (1)

Where m is the time for which Eduardo fills the pool.

Here, we are also given that

m = [tex]5\frac{1}{4}[/tex] minutes = [tex]\frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4}[/tex] minutes

And we have to find the value of V after [tex]\frac{21}{4}[/tex] minutes.

Let us put the value of m as [tex]\frac{21}{4}[/tex] minutes in the equation (1) to find the value of V.

[tex]V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}[/tex]

So, the volume of water in the pool after [tex]\frac{21}{4}[/tex] minutes is 205 litres.

Answer:

-0.5 or -1/2

Step-by-step explanation:

The equation for slope is y₂-y₁ / x₂-x₁.

It should work with all of the points given. Any of the 2 points you choose will give you the slope -0.5 or -1/2.

The slope the straight line going through (-2,1) , (0,0) and (2,-1) is -1/2.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The average slope of a straight line ;

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

So slope  associated with two points (-2,1) , (0,0)

⇒ (0 - 1) / (0 + 2)

⇒ -1/2

Since all three points are in a straight line so slope must be the same.

Hence "The slope the straight line going through (-2,1) , (0,0) and (2,-1) is -1/2".

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Answer: 23

Step-by-step explanation:

eleven less than (x)=x-11

x-11=12

  x=23

Answer:

It represents a linear function because there is a constant rate of change.

Step-by-step explanation:

A linear function is arranged in or extending along a straight or nearly straight line.

So if the numbers keeps increasing, which it is, it will be rising in an almost complete straight line on a graph.  That means it is a linear function because the numbers keep increasing.

Answer:

16.12 units

Step-by-step explanation:

distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(8 - 10)² + (7 + 9)²]

d = √[(-2)² + (16)²]

d = √[4 + 256]

d = √260

d = 16.12

Answer:

5/3

Step-by-step explanation:

7/3 - 2/3 = 5/3, Hope this helps!

A=45

A=kx/y

where k is constant

substituting the values for k

k= 20×9/6=30

when x=9, y=6

A= 30×9/6=45

Answer:

30,370 feet

Step-by-step explanation:

The difference in elevations between two points will be 30370 feet.

It is given that Mt. Everest is 29000 feet above sea level and the shore of dead sea is 1370 feet below the sea level.

We have to find out the difference in elevation between the two points.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

Height of Mt. Everest from sea level = 29000 ft. above

Height of shore of dead sea from sea level = 1370 feet below

As these both are in opposite directions , i.e., one above sea level and other below sea level , we should add both of these to find the difference in elevations between these two points.

i.e.,

The difference in elevations between two points will be ;

= 29000 + 1370

= 30370 feet

Thus , the difference in elevations between two points will be 30370 feet.

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Answer:

the correct answer is 1st one

Answer:

d = 43

Step-by-step explanation:

Answer:

The midpoint is (-1,7)

Step-by-step explanation:

To find the midpoint

Add the x terms together and divide by 2 to get the x coordinate

(2+-4)/2 = -2/2 =-1

Add the y terms together and divide by 2 to get the y coordinate

(5+9)/2 = 14/2 =7

The midpoint is (-1,7)

Answer:

20:12

32:50

Step-by-step explanation:

all you need to do is multiply each one by how ever number you want them u get you answer then u just choose one.

Answer:

3:5 and 12:20

Step-by-step explanation:

you have to find a number that can divide into both 6 and 10 for example 2 can divide into both and you can multiply 2 both

Answer:

Hey there!

3(a+b)-2(2a-b)+4a-7a

3a+3b-4a+2b-3a

3b-4a+2b

5b-4a

-4a+5b

Let me know if this helps :)

Answer

[tex] \boxed{ \boxed{ \bold{ \red{ - 4a + 5b}}}}[/tex]

Step by step explanation

[tex] \sf3(a + b) - 2(2a - b) + 4a - 7a[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf3a + 3b - 2(2a - b) + 4a - 7a[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf3a + 3b - 4a + 2b + 4a - 7a[/tex]

Collect like terms

⇒[tex] \sf3a +4a - 4a - 7a + 3b + 2b[/tex]

Since , two opposites add up to zero, remove them from the expression

⇒[tex] \sf3a - 7a + 3b + 2b[/tex]

⇒[tex] \sf - 4a + 5b[/tex]

Hope I helped!

Best regards!!

Answer:

f(-2) = 2

Step-by-step explanation:

The question is asking for the y-value of the point located at x = -2 on the graph. The point is at (-2, 2), so f(-2) = 2.