What is the meaning of algebra and expressions

Answers

Answer 1

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expressio

Answer 2

Answer:

Algebra is a branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them. Algebra can include real and complex numbers, matrices, and vectors. An algebraic equation represents a scale where what is done on one side of the scale is also done to the other and numbers act as constants.

Expressions is a Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.  

Examples:

• 2 + 3 is an expression

• 3 − x/2 is also an expression


Related Questions

What is 1/3÷1/2 math answers?

Answers

Answer:

= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Result in decimals: 0.66666666666667

x = mutiply

[tex]=\frac{1}{3} x\frac{2}{1}[/tex]

[tex]\frac{1 x 2}{3 x 1 }[/tex]

= [tex]\frac{2}{3}[/tex]

(Hope this helps can I pls have brainlist (crown)☺️)

11/6= 1/p



Pls help!!

Answers

Answer:

p = 6/11

Step-by-step explanation:

11/6 = 1/p

=> 11p = 6

=> p = 6/11

Hoped this helped.

The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square?

Answers

Answer:

x > 48

Step-by-step explanation:

There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((

sorry if this didn’t help but once again… not enough information :(

Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?

Answers

Answer:

68

Step-by-step explanation:

8 boxes. 10 per one box. 8×10=80

80-12= 68

Write the equation of a parabola that has a vertex of (-2,5.5) and passes through the point (-2.5,2.5).

Answers

The equation of a parabola that has a vertex of (-2, 5.5) and passes through the point (-2.5, 2.5) is  [tex]y=-12(x+2)^2+5.5[/tex]

The vertex form of the equation of a parabola is:

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex of the parabola

(x, y) is the point that the parabola passes through

The vertex, (h, k) = (-2, 5.5)

The point, (x, y) = (-2.5, 2.5)

Substitute h = -2, k = 5.5, x = -2.5, and y = 2.5 into the equation to solve for a.

[tex]2.5=a(-2.5-(-2))^2+5.5\\\\2.5=a(-2.5+2)^2+5.5\\\\2.5-5.5=a(-2.5+2)^2\\\\-3=a(-0.5)^2\\\\-3=0.25a\\\\a = \frac{-3}{0.25} \\\\a = -12[/tex]

Therefore, the equation of the parabola is:

[tex]y=-12(x-(-2))^2+5.5\\\\y=-12(x+2)^2+5.5[/tex]

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will give 25 points if right

Answers

The slope of the equation is 1/6

Answer:

1/6

Step-by-step explanation:

When the equation is in the form "y = mx + b", m is the slope. This linear line has a slope of 1/6 and a y-intercept of -1/2.

Pre college need help

Answers

Answer:

sorry I can't answer that because I need points very3× sorry

Janice bought 4 oranges for $3.40. what is the unit price.

Answers

You have to divide 3.40/4 and the unit price
will be 0.85
3.40 divided by 4
.85 per unit


Check answer
.85 unit x 4 = 3.40

If 2x + y = 7, what is the value of y when x = 3? A. 1 B. 3 C. 5 D. 7 E. 9

Answers

Answer:

the correct answer is A.1

the result is explained below in the photo

Answer:

y = 1

Step-by-step explanation:

2x + y = 7

x = 3

plug in 3 for x

2(3) + y = 7

Multiply 2 * 3

6 + y = 7

Therefor y = 1

please view the img above for the question ^^​

Answers

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Which associations best describe the scatter plot?

Select each correct answer.


Linear association

Negative association

Positive association

Nonlinear association

Answers

Linear = straight line or constant slope
But in this case, it’s more exponential
Negative: start high - goes lower
Positive: start lower - goes higher

Solution: non-linear and negative

Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500

Answers

The gross income or profit of the company is the difference between the

total revenue and the cost of items produced.

The values for the gross profits are;

(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000

Reasons:

The gross profit is given by the equation;

Gross profit = Net revenue - Cost of items sold

The net revenue for 75,000 units = $57.50 × Sales price per unit

∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500

Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead

Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500

The cost of producing 75,00 units per year = $3,562,500

Gross profit = $4,312,500 - $3,562,500 = $750,000

(b) When the number of units produced = 110,000, we have;

Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500

Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)

2. By producing 35,000 units more than it sells, we have;

Cost > Revenue, therefore, the gross profit decreases

Let, X, represent the number of units sold, we have;

The number of units produced = X + 35,000

Which gives;

Cost of production = (X + 35,000) ×  (10.50 + 8.00 + 12.50) + 1,237,500 =

31·X + 2,322,500

Net revenue = X × 57.50 = 57.50·X

The profit =  57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500

When X = 75,000, we have;

Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000

Therefore;

The gross profit will decrease by 750,000 - (-335,000) = 1,085,000

The gross profit of the company will would decrease by $1,085,000, if it

sells 75,000 units and produces 110,000, which is 35,000 more units than

is sells.

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https://brainly.com/question/21776821

Consider the expression 8ab + 3b + 16 - 4a. (a) How many terms are there? (b) How many factors are in the first term? Identify them. (c) Which term is a constant? pls do this fast

Answers

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

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Based on a​ poll, 63% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is the probability that among four randomly selected Internet​ users, at least one is more careful about personal information when using a public​ Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to​ respond? The probability that at least one of them is careful about personal information is

Answers

Answer:

So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.

Step-by-step explanation:

The required probability is 0.981 that at least one of them is careful about personal information.

What is the Binomial Theorem?

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.

Four randomly selected Internet​ users, at least one is more careful about their personal information.

As per the given question,

Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0

As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)

P(X = 0) = 4C0 × 0.63^0 × 0.37^4

P(X = 0) = 0.0187

P(X ≥ 1) = 1 - 0.0187

Apply the subtraction operation, and we get

P(X ≥ 1) = 0.981

Thus, the required probability is 0.981 that at least one of them is careful about personal information.

Learn more about the binomial theorem here:

brainly.com/question/27813780

#SPJ2

Rationalize the denominator.

9-10/2
V2+1

Answers

Answer:

  d.  19√2 -29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{9-10\sqrt{2}}{\sqrt{2}+1}=\dfrac{(9-10\sqrt{2})(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)}\\\\=\dfrac{9\sqrt{2}-9-10\cdot2+10\sqrt{2}}{2-1}=\boxed{19\sqrt{2}-29}[/tex]

Answer:

Step-by-step explanation:

what is x over 5 = -3 find x value

Answers

5*-3=-15

x=-15

hope this helps

Answer:

x = -15

Step-by-step explanation:

[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]

13. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
-5.-2,2,7..

A. yes: 3
B. yes: 4
C. yes: 3
D. no

Answers

Answer:

I think the answer is c

geomtry plzz help 15 points

Answers

Answer:

False.

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. However, 8+6=14 is less than 15. Hence, the triangle cannot be formed.

There are three compartments for luggage and each compartment has a capacity of 25 pieces of luggage. The first two compartments are full up and the last one contains 8 pieces of luggage. How many pieces of luggage are there?

Answers

Answer:

the first 2 compartments have 25 so 25+25=50, and the last has 8 in it so 50+8=58

Solve. 3(x-6) - 8x = -2 + 5(2x+1)

Answers

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.

Answers

Answer:

∠RQT = 23.5

∠PQR  = 133°

Step-by-step explanation:

Question 1

Step 1 - Add angles together:

As all angles on a straight line must add up to 180°:

3x - 5 + x + 1 = 180

Add like terms together

3x + x - 5 + 1

4x - 4 = 180

Step 2 - Add 4 to both sides of the equation:

4x - 4 + 4 = 180 + 4

4x = 184

Step 3 - Divide both sides by 4:

[tex]\frac{4x}{4} = \frac{184}{4}[/tex]

x = 46

∠RQS = x + 1

∠RQS = 46 + 1

∠RQS = 47

Given the ray QT bisects ∠RQS, the angles must be the same on either side so:

47 ÷ 2 = ∠RQT

∠RQT = 23.5

Question 2

As we know the value of x:

∠PQR = 3x - 5

Plug known values in:

3x - 5

3(46) - 5

138 - 5

∠PQR  = 133°

This can also be calculated by subtracting known angle ∠RQS from 180:

180 - 47 = 133.

Hope this helps!

Drag the tiles to the correct boxes. Not all tiles will be used. What are the domain and the range of function f? range arrowRight domain arrowRight

Answers

the domain is the first one and the 2nd one (going down) is the range

here are the correct answers :)

Consider the functions f(x) and g(x). The function f(x)=2x-5 and g(x)= -f(x+1)+3. Describe the three transformations that are performed on f(x) to create g(x).
A.
1.

2.

3.

B. Sketch a graph of g(x):

Answers

Answer: 3

Step-by-step explanation:

What is the equation of the line in slop-intercept form?



Enter your answer in the blank spots




y= __x + __

Answers

y = 5/2x + 5
or
y = 2.5x + 5

Answer:y=2.5x+5 i thank

Step-by-step explanation:

What is the meaning of the point shown on this graph?
Mysha’s Height

A: Mysha was 12 inches tall at age 2 1/2 years

B. Mysha was 30 inches tall at age 1 year

C: Mysha was 12 inches tall at the ago 30 months

D: Mysha was 30 inches tall at age 12 years

Answers

It would be B. She is 30 inches in height (y-axis) and she is 1 year old, or 12 months (x-axis). Hope this helped :)

By the way this is not my work

Answers

Answer:

Use unit converter.

Step-by-step explanation:

Write a polynomial function with given zeros √8, √10

Answers

Answer:

y = x^2 - (sqrt(8) + sqrt(10))x + sqrt(80)

Step-by-step explanation:

we do y = (x- sqrt8)(x -sqrt10) and simplify

Hey help please math I need help good luck I’ll I’ve point

Answers

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.

Answers

Answer:

See below

Step-by-step explanation:

1. Graph each inequality2. Take the intersection of shaded regions as solution

Attached each inequality separately and the solution showing the intersection below.

y > -1/3x + 2

Find the x - and y - intercepts, connect them with dotted line, shade the area above the line

x < 4

Draw a dotted line x = 4, shade the area to the left of the line

Is y=1/2x+7 a function

Answers

No that is not a function 1/2x is equal to 2x power -1 and a power cannot be negative so it is not a function
Other Questions
Select ALL of the equations that are true.(Select all that apply.) 16 = 3.831619===2.8. 13 = 0.7.52 How do energy transformations occur in a hydroelectric plant?The potential energy of water is converted to mechanical energy by a turbine.The kinetic energy of water is converted by a dam into potential energy.The kinetic energy of water is converted by a generator into electric energy.The potential energy of water is converted by a transformer into electric energy. Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, which is the correct equation to use to find the largest size TV that will fit? TVs are measured based on the diagonal measure. he girl is looking at cards * A. PHRASE B. DEPENDENT CLAUSE C. SENTENCE Which of the following is not true of chloroplasts?a. They synthesize sugarb. They contain pigmentsThey are only found in plants d. They appear green because of the ch Given trapezoid WXYZ, what is XY? will give 25 points if right Ryder is testing the change in motion for an object that weighs 25 kg and an object that weighs 30 kg. He will push each object with the same force. Ryder predicts the object that weighs 25 kg will have a greater change in motion. Is this correct? Yes, the object with the smaller mass will have a greater change in motion. No, the change in motion for both objects will be the same. Yes, the mass is greater, and the object will have a greater change of motion. No, neither of the objects will have a change in motion. 2. Miranda earns $12 per hour at her job. If she saves 60% of herearnings for the computer, she will be able to buy the computerafter workinghours at her job. Her total amount is $964.80 The tenure of a member of Rajyasabha is-(A) 5 years (B) 6 years (C) 8 years (D) 10 years Cardiorespiratory fitness, measured as VO2 max in mL/kg/min (maximum oxygen consumption), is associated with increased longevity. Recent evidence suggests that higher fitness increases the life span. Those with a low VO2 max have a life expectancy after 60 years of 7 years, those with moderate VO2 max of 15 years, and those with a high VO2 max have a life expectancy after 60 of 23 years. Which of the causal criteria is illustrated with this example According to the force theory, government developed from which of the following? The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square? y is inversely proportional to x.When x = 2.5, y = 4.Find the value of y when x = 8. Is James Horns assertion that Jamestown also presents two sides of Americas founding. On the one hand, Englands New World offered many settlers opportunities for social and economic advancement unthinkable at home; while on the other, colonization unleashed powerful destructive forces that were catastrophic for Indian peoples, whose lands were taken by colonists, and for enslaved Africans and their posterity, whose labor enabled Jamestown, and indeed America, to flourish true? Why or why not? Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x? Why does the sky appear red and yellow during sunsets.1. The reds and yellows are caused by the Sun's light having to pass through dust particles near closer to the horizon than when the Sun is higher in the sky.2. At sunset the prismatic effect of the atmosphere at low angles produces longer red and yellow wavelengths.3. At sunset blue light is scattered by air molecules at higher altitudes. The longer red and yellow wavelengths must travel further through the atmosphere when the Sun is near the horizon. At some point the reds and yellows finally scatter in the lower atmosphere causing the reds and yellows.4. The red and yellows are appear at sunset because the light must pass through more atmosphere which slows down the wavelength frequency turning it to slower red and yellow frequencies. Look at the proofreading symbol.What does this symbol mean?close up spaceadd a commaadd a space 1/243 as an expression using a negative exponent other than -1 What should be done with the contents ofa composter? Explain your reasoning.