What is meant by the degree of a function?

The equations that are equivalent include:

2 + x = 5

x + 1 = 4

-5 + x = -2

It is important to note that an equation is used to illustrate the relationship between the variables that are given.

In this case, the given equation is illustrated as:

2 + x = 5

Collect like terms

x = 5 - 2

x = 3

x + 1 = 4

Collect like terms

x = 4 - 1

x = 3

-5 + x = -2

Collect like terms

x = -2 + 5

x = 3

Therefore, the three equations illustrated are equal.

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Answer:

Two consecutive numbers can be written as x and x+1

if we add those two equations together we get 2x+1

And since any number times two is an even number if you add one to any even number you always get an odd number

The value of n/p is 8.

What is quadratic equation?

A quadratic equation in algebra is any equation that can be written in standard form as where x is an unknown and where a, b, and c denote known numbers, where a ≠ 0.

Let, for x^2 + mx + n = 0

⇒ x = 2α or 2β

From the given condition,

for x^2 + mx + n = 0 ⇒ x = α or x = β

Then,

2(α + β) = -m           ..(1)

4αβ = n                    ..(2)

and α + β = -p         ..(3)

αβ = m                     ..(4)

From equation (1) and (3),

-m/2 = -p

⇒ p = m/2

and from equation (2) and (4),

n/4 = m

⇒ n = 4m

Therefore,

n/p = 4m / (m/2) = 4 x 2 = 8

Hence, n/p = 8.

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Answer:

He will read C. 38 pages on the 11th day.

Step-by-step explanation:

First day = 8 pages

2nd day = 8+3 = 11 pages

Sequence = (8,11,14.......)

a+(n-1)d

a = first term

nth term = 11

d(difference) = +3 or 3

8+(11-1)3

=38

Answer:

x= 6/7 - 2y/7

y= 3 - 7x/2

Step-by-step explanation:

I said so

Answer: The answer should be a 27-degree difference

Step-by-step explanation:

If you add -11 and 11 you get 0 then add 16. 11+16 is 27 so a 27-degree difference!!!

Answer:

x>-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.

It is the true statement.

Given,

In the question:

Stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.

To check the above statement is true or false.

Now, According to the question:

Let's know about

Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members' shared attributes or characteristics, such as income or educational attainment.

In stratified random sampling, the strata are formed based on member's shared characteristics (e.g. female or male, occupation, education) or attribute (e.g. black or white).

Hence, The stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.

It is the true statement.

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Answer: A loss of 6 dollars

Step-by-step explanation:

Step 1 is to determine how many eggs she purchased:

3 dozen eggs * 12 eggs per dozen = 36 eggs purchased

Step 2 is to find the cost of the eggs purchased using the information you gave:

(36 eggs / 6) * 10 dollars = $60 purchase price

Step 3 is to find out how many eggs broke which is calculated like this:

36 total eggs * .25 = 9 broken eggs

Step 4 is to find how much money she made from selling the remaining eggs:

(36 total eggs - 9 broken eggs) * $2 per egg = $54 resale

Step 5 is finding the profit or loss:

$54 resale price - $60 purchase price = $ -6 (aka a 6 dollar loss)

9 servings are there in 22.5 ounces of trail mix.

Given:

The weight of one serving of trail mix is 2. 5 ounces.

1 serving = 2.5 ounces

Number of servings = 22.5 ounces / 1 serving

= 22.5 / 2.5

= 225/10/25/10

= 225/25

= 9 servings.

Therefore 9 servings are there in 22.5 ounces of trail mix.

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Answer:

x = 30 degrees

y = 15 degrees

z = 150 degrees

Step-by-step explanation:

Finding x:

2x + 90 + x = 180

3x + 90 = 180

3x = 90

x = 30

x and 2y are alternate interior angles, which means that they are congruent:

x = 2y

30 = 2y

15 = y

x and z are same side interior angles, which means that they are supplementary:

x + z = 180

30 + z = 180

z = 180 - 30

z = 150

The smallest angles of the triangle is angle A

In triangle ABC

The length of the side AB = 6.2 units

The length of the side AC = 9.5 units

The length of the side BC = 5.1 units

The opposite angle of AB is angle C, the opposite angle of AC is angle B and the opposite angle of BC is angle A

We know length of the line is BC which is 5.1 units which is the smallest side of the triangle. Then the opposite angle of BC will be the smallest angle in the triangle ABC

The opposite angle of the side BC is angle A, which is the smallest angle in the triangle

Hence, the smallest angles of the triangle is angle A

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Answer: 12-(28/4)=5

Step-by-step explanation:

12-7=5 I hope it helps :)

Jane made a mistake in her third step. The solution of the equation is x = - 13 / 18

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

The solve the equation to detect where Jane made the mistake in her solution.

-3(4x - 5) = 6(x + 3) + 10

open the brackets on both sides of the equation

-3(4x - 5) = 6(x + 3) + 10

- 12x + 15 = 6x + 18 + 10

- 12x + 15 = 6x + 28

subtract 6x from both sides of the equation

- 12x + 15 = 6x + 28

- 12x - 6x + 15 = 6x - 6x + 28

-18x + 15 = 28

subtract 15 from both sides of the equation

-18x + 15 = 28

-18x + 15 - 15 = 28 - 15

-18x = 13

divide both sides by - 18

x = 13 / -18

x = - 13 / 18

Therefore, jane made a mistake in her third step. She didn't add 18 and 10 together on the right side of the equation.

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Answer:$1031$

Step-by-step explanation: $980 is the worth of the portrait right? That means that 5%-100%=95% of the portrait is 980 so if we multiply by the reciprocal which is 980*100/95=$1031$

ok I will help you

A=hbb

2

b Base

hb Height

Answer:

9

Step-by-step explanation:

y = x - 4

y = 13 - 4

y = 9

Answer:

Have you finished this question? I don't understand.

Step-by-step explanation:

Answer:

D.

18x-54

Step-by-step explanation:

9*2x - 9*6

18x - 54

Answer:

2

Step-by-step explanation:

the rate of change is the coefficient of x

If x = -7 and y = 3, the value of the expression (x+y/x-y)²  is​  4/25  .

In the question ,

it is given that ,

the algebraic expression is given as  (x+y/x-y)² ,

we need to find the value of the given expression when the value of x = -7 and y = 3 .

Substituting the values of x = -7 and y = 3 in the expression ,

we get

= (x+y/x-y)²

= ((-7+3)/(-7-3))²

= (-4/(-10))²

= 16/100      

cancelling out the common factor 4 , from the numerator and denominator .

= 4/25

Therefore  , the value of the given expression at x = -7 and y = 3 is 4/25  .

The given question is incomplete , the complete question is

Calculate the value of the expression (x+y/x-y)²​ at x = -7 and y = 3 ?

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Answer:  its c

Step-by-step explanation:

By evaluating the function in x = 1 we get:

C(1) =  95.16

This means that the per capita consumption of all poultry in 2015 was 95.16 pounds.

Here we have the linear function:

C(x) = 2.97*x+ 92.19

We know that it models the consumption of all poultry in a country as a function of x, the number of years since 2014.

Then C(1) will be the consumption of all poultry in that country one year after 2014 (this would be on 2015).

To evaluate we just need to replace the variable x in the equation by 1, we will get:

C(1) = 2.97*1+ 92.19 = 95.16

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Answer:

the cheaper plan is Mike's until month 10.  At month 10 the plans are equal after month 10 All Day is cheaper

Step-by-step explanation:

30x = 22x + 80  Set the equations equal to each other and subtract 22 from both sides of the equal sign

8x = 80  Divide both sides by 8

x = 10

At 10 months the plan are equal.

Answer:

[tex]15\sqrt{5}[/tex]

Step-by-step explanation:

simplify [tex]\sqrt{20}[/tex] and [tex]3\sqrt{50}[/tex]

 [tex]\sqrt{20}[/tex] simplifies into [tex]\sqrt{5}[/tex]

 so [tex]\sqrt{20}[/tex] =  [tex]\sqrt{4} \sqrt{5}[/tex]

we can simplify [tex]\sqrt{4[/tex] into a whole number

[tex]\sqrt{4[/tex] =2

          =   2[tex]\sqrt{5}[/tex]

   [tex]\sqrt{50[/tex] simplifies into [tex]\sqrt{2[/tex]

   so [tex]\sqrt{50[/tex] =3( [tex]\sqrt{25} \sqrt{2}[/tex])

we can simplify [tex]\sqrt{25}[/tex] into a whole number

[tex]\sqrt{25[/tex] = 5

= 15[tex]\sqrt{2[/tex]

then we add these simplified roots back into the question

2[tex]\sqrt{5}[/tex] + [tex]5\sqrt{2[/tex] -[tex]2\sqrt{5[/tex]

we simplify again as [tex]2\sqrt{5[/tex] cancels out

to get a final answer of:
[tex]15\sqrt{5}[/tex]

The input of a function that can be controlled is the independent variable while the output is the dependent variable thus "Number of hours" and "D" are independent while the amount of muscle mass is the dependent variable.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

An input variable that we can control and manage is said to be an independent variable.

For example in function y = f(x) here we can control variable x so it will be an independent variable.

As per the given,

The number of hours we can spend so will be an independent variable.

The input D will be the independent variable.

The amount of mass muscles depends on age so it will be the dependent variable.

Hence "Number of hours" and "D" are independent while the amount of muscle mass is the dependent variable".

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There are 28 landscapes.

From the question, we have

In five photos = 2 landscapes.

In 70 photos = 2/5*70

=28 landscapes.

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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