Which expression is equivalent to 12x2+x−20

Answer:

b

Step-by-step explanation:

The graph that shows the function h(x) = -x] which is a transformation of the absolute value parent function, f(x) = [x] is Option C.

The graph of the function h(x) = -x] is the reflection of the graph of f(x) = [x] about the x-axis. The graph of f(x) is piecewise defined as follows:

The graph of h(x) will have the same shape as f(x), but with all the y-values negated, so:

The graph of h(x) will thus be a downward-facing step function, with steps at x = 0, moving from -x to x as x moves from negative to non-negative values. Thus, Option C is correct.

Learn more about functions graph here: brainly.com/question/24335034
#SPJ4

Answer:

28 m,  112 m

Step-by-step explanation:

x = length of short piece

4x = length of long piece

x + 4x = 140

5x = 140

x = 140/5 = 28

4x = 4(28) = 112

Answer:

a = 3 or -3

Step-by-step explanation:

a^2 -8 = 1

a^2 = 1 + 8

a^2 = 9

a = -  [tex]\sqrt{9}[/tex] or [tex]\sqrt{9}[/tex]

a = 3 or -3

Answer: a = 3, -3

Step-by-step explanation:

      Since we want to find what values of a, or x when substituted into the function, equal 1, we will set the function equal to 1 and solve for x.

     Given:

f(x) = x² - 8

     Set equal to 1:

1 = x² - 8

     Subtract 1 from both sides of the equation:

x² - 9 = 0

     Difference of squares factoring:

(x - 3)(x + 3) = 0

     Answers:

x = 3, -3

     So,

a = 3, -3

The value of  Avogadro's number is 6.02214076 × 10²³. The ratio of the actual mass of an element to its atomic mass is always constant which is known as  Avogadro's number.

What is one mole?

One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.

The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.

The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of  6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.

It shows how many atoms or molecules make up one gram of an element's or compound's molecular weight. The value is "6.022 × 10²³" when the atomic mass of an element is divided by the actual mass of its atom.

To learn more about Avogadro's number, click on the below link:

https://brainly.com/question/24175158

#SPJ4

The relationship between altitude and boiling point is given below.

What is altitude?
Altitude is the height above sea level. It is usually measured with a barometer or GPS satellite. Altitude can be used to describe the height of an airplane, a mountain, or even the position of a satellite in space. Altitude can also be used to measure how high a person is standing on Earth. Altitude can also be used to compare the relative heights of two different points on Earth. Altitude is an important factor when flying, as it can determine air pressure, air temperature, and wind speed.

Sea Level 212°F
1,000 ft. 211°F
2,000 ft. 210°F
3,000 ft. 209°F
4,000 ft. 208°F
5,000 ft. 207°F
6,000 ft. 206°F
7,000 ft. 205°F
8,000 ft. 204°F
9,000 ft. 203°F
10,000 ft. 202°F

To know more about altitude click-
https://brainly.com/question/1511617
#SPJ1

The ratio of the size of the dollhouse item to the doll house is 14 : 9.

What are ratios?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio.

                        A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

                             The ratio is a mathematical expression that can be used to represent one item as a percentage of another.

First convert feet to inches

1 feet = 12 inches

12 x 6 = 72 inches

dollhouse item : doll house

112 : 72

14 : 9

Learn more about ratios

brainly.com/question/13419413

#SPJ4

Answer: 66.70

Step-by-step explanation:

8 2/25 times 16 2/3 then divide by 2 and you get 66.70 will be blue  

The percentage of students who do not participate in a sport is C. 51.0%.

To find the percentage of students who do not participate in a sport, we can use the following formula:

(Number of students who do not participate in a sport) / (Total number of students) * 100%

From the table, we can see that the number of students who do not participate in a sport is 985, and the total number of students is 1930. So, plugging these values into the formula gives us:

= 985 / 1930 * 100%

= 51.03%

So, about 51.03% of students do not participate in a sport.

Learn more about Percentage on:

https://brainly.com/question/24304697

#SPJ1

The expression 4xy-yz is an algebraic equation.

Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.

To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.

The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.

In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.

To know more about expression click-
https://brainly.in/question/54097996
#SPJ1

The expression 4xy-yz is an algebraic equation.

Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.

To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.

The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.

In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.

To know more about expression click-

https://brainly.com/question/14083225

#SPJ1

Domain

Range

Interval Notation

Let's organize what is given to us from the problem.

We are given a graph of a function.

We need to analyze the graph to determine the domain and range of the graph.

If we take a look at our x values, we see that our graph starts at x = 3 and continues infinitely.

∴ we can write the graph's x-values as [3, ∞), or x ≥ 3.

⇒ The domain of the graph is equal to x ≥ 3.

If we take a look at our y values, we see that our graph begins at y = 1 and also continues infinitely.

∴ we can write the graph's y-values as [1, ∞), or y ≥ 1.

⇒ The range of the graph is equal to y ≥ 1.

∴ the answer to the question is equal to:

A. D: x ≥ 3

    R: y ≥ 1

___

Learn more about functions: https://brainly.com/question/30200855

Learn more about Algebra I: https://brainly.com/question/16898384

___

Topic: Algebra I

Unit: Functions

Answer:

5√2

Step-by-step explanation:

Hello!

To simplify the radical, we can identify perfect square factors in the radicand or the number inside the square root.

We know that 50 is 25 times 2, so we can expand the radical like this...

Now we can simplify each radical:

The simplified form is 5√2.

The slope of the line is 40 if the points are joined.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

given:

Take two points from the graph as (2, 80) and (4, 160)

Then, the slope of line is

slope, m = ( 160- 80) / ( 4- 2)

slope, m = 80 /2

slope , m = 40

Hence, the slope is 40.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ1

Rongopai's age is equal to the total number of candles on the cake, thus I need to determine what that is.

What I need to figure out because I am aware that Rongopai's age is equal to the total number of candles on the cake.

The number of pieces the cake was sliced into must first be determined. A quarter has a specific appearance to me. This is how it would seem (the teacher traces a quarter shape on the circle). There must have been more than four pieces since this one seems a little smaller.

Each cut's location may be identified using my finger. Given that all the pieces must be the same size, I'm predicting the locations of each line using the first piece as a reference.

Here would be the approximate location of the first line, followed by here and here (the teacher draws a line with her finger) (tracing two more lines). the third line. In my mind, the lines and parts are somewhat "visible." Four "invisible" pieces plus the one drawn in are present when I count backward.

The complete question is:

A teacher wants a student to see how visualising the size of a share (in this case, a piece of cake) can be used to work out how many shares are needed to make a whole:

“Here is a piece of Rongopai’s birthday cake. Each piece of cake has the same number of candles. How old is Rongopai?”

To learn more about quarter shape refer to:

https://brainly.com/question/20333097

#SPJ4

Age of Rongopai is 20 years.

One fifth of a circle means if a circle can be divided into five equal parts, then one fifth is one of them.

As per the figure given, there is shown a 1 fifth of a circular birthday cake.

As all the piece of cake is equal in size so the total number of cake piece is five.

the number of candles in each piece is four.

the total number of candles present in the whole cake is = 5 × 4

the total number of candles = 20

Therefore, Rongopai is 20 years old.

To know more about a circle visit:

https://brainly.com/question/11833983

#SPJ4

Answer:

6.3

3

3.6

14

1.6

23.9

498

62

29

Step-by-step explanation:

0.9+5.4=6.3

6-3=3

13.6-10=3.6

7.032+2.485+4.59=14.107

57.403−55.78=1.623

13.5+7.8+2.6=23.

1,473−975=498

38+15+9=62

16+13=

Answer:

1. 0.92 rounds to 0.90 and 5.37 rounds to 5.40 (0.9 + 5.4 = 6.3)

2. 6.3 rounds to 6 and 2.8 rounds to 3 (6 - 3 = 3)

3. 13.56 rounds to 13.60 and 10.02 rounds to 10 (13.6 - 10 = 3.6)

4. 7.032 + 2.485 + 4.59 = 14.107

5. 57.403 - 55.78 = 1.623

6. 13.46 rounds to 13.50, 7.84 rounds to 7.80 and 2.59 rounds to 2.60 (13.5 + 7.8 + 2.6 = 23.9)

7. 1,472.63 rounds to 1,473 and 975.28 rounds to 975(1,473 - 975 = 498)

8. 38.24 rounds to 38, 14.53 rounds to 15 and 8.93 rounds to 9(38 + 15 + 9 = 62)

9. 16.4 rounds to 16 and 12.8 rounds to 13(16 + 13 = 29)

(some may be wrong but i did my best)

The product for the given polynomial is [tex]8y^5 + 6y^4 + 20y^3.[/tex]

When multiplying two polynomials, it is important to keep track of the exponents of each term. The exponents will determine the degree of the resulting polynomial. To find the product, you multiply each term of the first polynomial by each term of the second polynomial, then combine like terms.

In this case, the first polynomial is 4y^3 and the second polynomial is 2y^2 3y 5. To find the product, you would multiply 4y^3 by 2y^2, 4y^3 by 3y, and 4y^3 by 5. This would give you 8y^5, 12y^4, and 20y^3. Since these are the only terms in the product, you simply add them together to get the final answer of [tex]8y^5 + 6y^4 + 20y^3.[/tex]

Learn more about Polynomials here:

https://brainly.com/question/15702527

#SPJ4

Answer:

Price after discount is $54

You save $36

Step-by-step explanation:

Sum of the infinite geometric series = 79/9

A geometric series, or the first few terms of a geometric sequence, are the sum of an infinite number of terms with a constant ratio between them in mathematics.

Given Geometric sequences,

0.79, 0.079, 0.0079, 0.00079, 0.000079

so, the geometric series is:

0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +........

The first term of given geometric series is 0.79

The second term of given series is 0.079

Therefore, the common ration is= 0.079/0.79 = 1/10

The Sum of infinite geometric series is given by, S= a/(1-r)

a here denotes the first term of the series

r denotes the common ration

so,

S = 0.79/{1-(1/10)}

or, S = 0.79/(9/10)

0r, S = 0.79 * (10/9)

0r, S = 79/9

To know more about Geometric series here:

https://brainly.com/question/4617980#

#SPJ4

On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

here,

the approximate amperage setting be if a welder were set to the high range would be 350 amps

To know more about range visit:

https://brainly.com/question/28135761

#SPJ4

On solving the provided question, we can say that the required probability is = 13/204.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

probability of 1st card =  1/4

since the card is not replaced

total number remaining cards = 51

second card 13/51

the required probability is = 13/204

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ4

Answer:

decreasing is the answer

Answer: hi

11,28 pound / usd

Step-by-step explanation:

the length of side x = 12.5.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, we have,

From the given figure, we get.

These two figures are similar.

so, we have,

8/x=y/5 ............(1)

10/15=4/z ......(2)

8/15=y/z .....(3)

Solving we get,

x=12.5

Hence,  the length of side x = 12.5.

To learn more on ratio click:

brainly.com/question/13419413

#SPJ1

Therefore , the solution of the given problem of linear equation comes out to be  1200 = 400x.

A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given:

300 feet per minute

where x is the number of minutes,

The Y is 1200.

Thus,

Taking account of all the above information

We get,

This will give us an equation of 1200 = 400x

Therefore , the solution of the given problem of linear equation comes out to be  1200 = 400x.

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

A composite function is a type of function that is made up of two or more other functions. It is created by combining two or more functions together. The resulting function can be written as a single expression, or as a composition of multiple functions.

A composite function is a type of function that is formed by combining two or more other functions. It is created by combining two or more functions together using the mathematical operations of addition, subtraction, multiplication, division, or composition. The resulting function can be written as a single expression, or as a composition of multiple functions. A composite function is often used to simplify a complex problem, or to manipulate and analyze data. For example, if a data set contains two sets of data, a composite function could be used to combine the two sets of data into a single expression. Additionally, composite functions can be used to solve problems that involve multiple variables, as the resulting function can be used to represent the relationship between the variables. Furthermore, composite functions can be used to create graphs, which can be used to further analyze the data.

Learn more about Composite function here

https://brainly.com/question/28199758

#SPJ4

1) 16x - 12(1 + 2x) + 4 is the expression that are equivalent to 16x-12-24x+4.

An expression is a mathematical phrase that can contain numbers, variables, and operators. It can be a combination of these elements and can be evaluated to a specific value or a mathematical function.

An expression can be a simple mathematical statement such as 2x+3, or a more complex one involving multiple operations such as

(3x^2 - 4x + 5) / (2x +1). Expressions are used to represent mathematical operations, equations and relations between variables.

so we need to evaluate option 1 :

16x - 12 -24x +4

=> 16x - 12 -24x +4

the above expression is same as the expression mentioned in the question so option 1 is correct.

To know more about mathematical equation click in below link:

https://brainly.com/question/29514785#

#SPJ4

Complete question :

Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.

1. 16x - 12(1 + 2x) + 4

2. 40x - 16

3. 4 - 12 + (2x - 3x)

4. -8(x+1)

Answer: 32

Step-by-step explanation: 4 x 8 = 32 . I am concerned how simple this is ;-;

Answer:

32

Step-by-step explanation:

each boxes have 4 muffins

so,in 8 boxes

by question

8×4=32

Answer: The reciprocal of a number is defined as 1 divided by that number. The opposite of a number is the number with the opposite sign. Therefore, the opposite reciprocal of a number is equal to the reciprocal of the opposite of that number.

In this case, the opposite reciprocal of 0/6 is the reciprocal of the opposite of 0/6. The opposite of 0/6 is 0/-6, which is equal to -0/6. The reciprocal of -0/6 is 1/(-0/6) = -6/0.

However, division by 0 is not defined, so it is not possible to find the reciprocal of -0/6. Therefore, the opposite reciprocal of 0/6 is undefined.

Step-by-step explanation:

Answer:

there is no reciprocal for 0/6

Step-by-step explanation:

There are 4 cassette tapes.

Given that,

Let x be the number of compact discs

Then 5 times the number of CD's= 5x and 10 less than 5 times the number of CDs is 5x-10

Therefore the number of cassettes is 5x-10

Now we are told that the ratio of cassettes to CDs which is

((5x-10)/x) equals 5/2 so our equation to solve is:

(5x-10)/x=5/2 multiply both sides by 2x to get rid of the fractions and we get:

2(5x-10)=5x

Further solving this equation, we get:

10x-20=5x

5x=20

x= 4 (number of compact discs)

Thus, there are in total 4 cassette tapes.

To learn more about ratio visit: brainly.com/question/13419413

#SPJ4

The Light cream with 19.2% content will have 15.36g of milk.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here Light cream as 19.2% of 80g

∴ 0.192×80=15.36g

Hence, The Light cream with 19.2% content will have 15.36g of milk.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ1

Both (x + y = 15) and (0.5x + 0.65y = 9.00) make up the equation system.

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.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

The statement is not an equation if there is no "equal to" sign in it

According to our question-

x is the quantity of oranges.

y is the quantity of apples.

Oranges plus apples equal 15, or x plus y equals 15, so Aisha purchased 15 pieces of fruit.

Apples cost $0.65 and oranges cost $0.50. The fruit cost Aisha $9.00.

0.5x (the total cost of the oranges) + 0.65y (the total cost of the apples) equals 9.00 (the total cost of the fruit).

x + y = 15

0.5x + 0.65y = 9.00

As a result, the system of equations is (0.5x + 0.65y = 9.00) and (x + y = 15).

learn more about equation click here:

brainly.com/question/2972832

#SPJ4