what does x mean in algebra?
Answers
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
It is called a "variable" or sometimes an "unknown"
What is variable?A variable is an abstract storage location paired with an associated symbolic name, which contains some known or unknown quantity of information referred to as a value; or in simpler terms, a variable is a named container for a particular set of bits or type of data.
here, we have,
The letter "x" is often used in algebra to mean a value that is not yet known.
It is called a "variable" or sometimes an "unknown".
In x + 2 = 7, x is a variable, but we can work out its value if we try!
A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Hence, x is called a "variable" or sometimes an "unknown".
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Related Questions
Find an equation for the surface consisting of all points p for which the distance from p to the x-axis is 4 times the distance from p to the yz-plane.
Answers
The equation that represents the distance is -25x² + y² + z² = 0
What is an Equation in Math?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. A mathematical statement called an equation demonstrates the equality of two mathematical expressions.Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.Equations can be divided into the three categories of linear equations, quadratic equations, and cubic equations depending on their degree.Given data :
The distance between two points, is the number of units between them.
The equation that represents the distance is -25x² + y² + z² = 0
The distance between a point and the x-axis is represented as:
D = ( y² + x² ) \(\frac{1}{2}\)
From the question, we have:
D = 5x
Equate both expressions for D
5x =- ( y² + z² ) \(\frac{1}{2}\)
Square both sides
25x² = y² + z²
Equate to 0
y² + z² - 25x² = 0
Rewrite as:
-25x² + y² + z² = 0
Hence, the equation that represents the distance is -25x² + y² + z² = 0
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helpp!!! i don't understand this
Answers
Please help, I am so confused. Find the missing length indicated.
Answers
Answer:
its D
Step-by-step explanation:
In a right triangle the hypotenuse which is 16+9 =25 has to be the largest side. Since x is not the hyportenuse it has to be lower which only leaves one answer : 15
Answer:
Step-by-step explanation:
these are tough to solve , don't feel bad. soo part of the trick is that the two side set up similar triangles, then
16 / y = y /9 ( the two triangles
16* 9 = \(y^{2}\)
144 = \(y^{2}\)
12 = y
y is the length between the two triangles , so since we now know that part, we can solve the triangles.
lets use tan to solve one of the angles of the smaller triangle
TOA to remember how tan fits on a triangle
Tan = Opp / Adj
Tan(Ф) = 9/12
Ф = arcTan(9/12)
Ф = 36.869897
knowing that we can solve for x
use CAH cos = Adj / Hyp
Cos(36.869897) = 12 / Hyp
Hyp = 12/ Cos(36.869897)
Hyp = 15 :) that seems reallly good .. :P
x = 15 there you go
Hi need help solving for x it says assume that which appear tangent are tangent
Answers
ANSWER
\(C)\text{ }13\)EXPLANATION
To find the value of x, we have to apply the intersecting secant theorem which states that if two secants are drawn to a circle from an external point, then:
This implies that:
\(7*(7+17)=8*(8+x)\)Solve for x by simplifying and collecting like terms:
\(\begin{gathered} 7*24=64+8x \\ \\ 168=64+8x \\ \\ 8x=168-64=104 \\ \\ x=\frac{104}{8} \\ \\ x=13 \end{gathered}\)The correct answer is option C.
GRADE 7 MATHEMATICS (QUARTER 2)
SUBJECT TEACHER:
GENERAL INSTRUCTION
SCORE:
Read and analyze carefully the given questions.
IL You may refer to your module pages 22 - 27.
Directions: Choose the letter of the best answer and write in the space provided before the number,
1. In the expression x2, 2 is what we call
A Base
B. Exponent
C. Multiply
D. Divide
2. Find the product of (x) (**)
A x?
B. 22
Сх
D. X
3. What is the product if 2x is multiplied by 5x?
A 10x
B. 7x2
C. 10x
D. 3x
4. Divide 32a9bc2 by 4a-0%
A. 8a+b+c2
B. 8ac2 C. 8a 0042
D. Sa+bc
5. Multiply 2x by 13xy
A. 26xy
B. 26x3y2
C. 26x
D. 26xy
6. What is the product of 2x3 +3x2 + 4x and x + 1?
A 2 + 2x + 3x2 + 4x B. 2X* + 5x + 7x2 + 4x C. 5x + 7x3 + 4x + 2x D. 7* *4x3 + 2x + 5x
7. What polynomial is obtained if 27x*y* + 18x2y3 + 9x^y is divide by 3xy?
A 9xy + 6x2y3 + 3y B. 9xy + 6x3y C 9xy + 18xy + 6x
D. 9x+y + xy + 3x
8. What expression will satisfy the given statement: (a + 3)(_) = a + 6a + 9
A a-3
B. -3-a
C. a + 3
D. -3 + a
9. Find the product of (x-1) and (x + 1).
A x² + 1
B. X?- 1
c. x² + x + 1
D. X2 - x + 1
10. What will be the first term of the product of (2x - 1)?
A 4x2
B. 4x
C. 1
D. 2x
11. Multiply (4y - 5d) (4y + 50)
A. 16y2 + 2502
B. 4y + 50 C. 16y2 - 25d2
D. 4y - 50
12. Evaluate ( x - 3)(x2 + 3x + 9)
A. x2 - 81
B. x - 27
C. X + 9x + 27
D. X - 9x + 27
13. Solve (x-6)
A. x2 + 12x - 36
B. x2 + 36 C. X2 - 36
D. x2 - 12x + 36
14. What is the area of the square whose side is 2x + 5?
A 4x2-20%-25 B. 4x2 - 20x + 25 C. 4x2 + 20x - 25
D. 4x2 + 20x + 25
15. Evaluate (x + 4)'
A x + 12x2 + 48x + 64 B. X- 12x2 - 48x - 64 C. X - 12x2 + 48x - 64 D. x + 12x2 - 48x + 64
GRADE 7 MATHEMATICSQUARTER 2 (WEEK 7-8)
Directions: Choose the letter of the best answer and write in the space provided before the number.
Answers
Answer:
1) B? (I think that is meant to be an exponet. if it is, you would write it as x^2)
2) I do not know
3) A (it would actually be 10x^2, but 10x is the closest to it
4) A makes the most sense
5) A
6/7/8) I do not know, sorry
9) A makes the most sense
10-15) I am sorry, I cannot solve it
Step-by-step explanation:
I am sorry you have to go through this in 7th grade
Please help quick i’ll mark brainliest
Answers
Answer:
\( \triangle \: A'B'C' \: will \: have : \\ \angle \: A' \: at \: point \: ( - 1 ,\: 1). \\ \angle \: B' \: at \: point \: ( 1,\: 3). \\ \angle \: C' \: at \: point \: ( - 3 ,\: 3).\)
PLEASE HELP FAST ITS MULTIPLE CHOICE!
Joey bought 8 books. Some books cost $12 each the rest cost $18 each he spent a total of 108 which of the following system of linear equation could represent the given situation?
Answers
Answer: It's A
Step-by-step explanation: X + Y is the total books, which should equal 8. Some books treat them as X, while the rest treat them as Y. You end up with 12x+18y=108.
Draw the image of the following triangle after a dilation centered at the origin with a scale factor of 3/5
Answers
The image of the triangle after dilation centered at the origin with a scale factor of 5/3 is shown in following graph.
We know that the scale factor is nothing but the ratio of the size of the transformed image to the size of the original image.
From the attached figure the coordinates of the original triangle are:
(6, 9), (9, 9) and (9, 6)
And the scale factor is k = 3/5
Using above definition of scale factor, the coordiantes of the dilated triangle would be,
5/3 × (6, 9) = (10, 15)
5/3 × (9, 9) = (15, 15)
5/3 × (9, 6) = (15, 10)
Thus, the image of the triangle after dilation is shown in following graph.
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Find the complete question below.
Divide: 5 + 2i by 3 + 4i.
Answers
Answer:
1-2i
Step-by-step explanation:
Divide: 5 + 2i by 3 + 4i.
Given data
5 + 2i by 3 + 4i.
We have the expression as
(5 + 2i)/(3 + 4i)
Rationalize the denominator
(5 + 2i)/(3 + 4i)* (3 -4i)/(3 -4i)
=(5*3-20i+6i-8i^2)/9-12i-12i+16i^2
=15-14i+8/9-16
=7-14i/-7
=1-2i
geo quiz!! don’t understand at all
Answers
Solve triangle ABC if a=10, b= 11, c=17
Answers
Answer:
38
Step-by-step explanation:
it is quite simple so try to solve it
Create a graph showing the equations y=1/4x and y=1/4x –5 Explain how the graphs are the same and how they are different.
Answers
The equations have the same slope but different y-intercepts
How to determine the similarities and the differences
From the question, we have the following parameters that can be used in our computation:
y = 1/4x
y = 1/4x - 5
See attachment for the graphs of the functions
From the graph, we can see that both equations have the same slope of 1/4, which means that for every increase of 1 unit in x, y increases by 1/4 unit.
This also means that both graphs are straight lines.
However, the y-intercepts of the two graphs are different.
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The answer to 2+2 isnt 4 ill show you why
So you need to do f(x) 5x^2+3x-19+3
You would simplify the equation to get to y=4x+5f(x)+2
Naturally you would now graph the equation to a linear degree but still inducing a parabellum, y-(d-3)=0
Then solve using the square method (b/2)^2=(6)^2
Then put the 6 on both sides of the equation.
6^2+w0+8x+7t^2
After you get hydrogen oxide as your answer please note: Puenomia can only occur inside the respatory system.
There ya go: 18.
Answers
wow you are so smart
Rodrigo just became a personal trainer and is finalizing his pricing plans. For one plan, Rodrigo charges $39 for the initial consultation and then $42 per session. For another plan, he charges $54 for the consultation and $39 per session. Rodrigo realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
Answers
Answer:
5
Step-by-step explanation:
I just did it
a friend comes up to you and offers you a free ticket to a dodgers game that night, and you decide to attend the game. the game takes five hours and costs you $25 for transportation. if you had not attended the game, you would have worked at your part-time job for $12 an hour. what is the cost to you of attending the game?
Answers
The cost to you of attending the game instead of going to work is 85$
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Transportation cost = 25$Hours paid for work = 12$ per hourTime of the game = 5 hCalculating how much will cost attending the game:
Total cost = (time of the game*Hours paid for work) + Transportation cost
Total cost = (12*5) + 25
Total cost = 85$
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Please help me! I really need help!
Answers
Answer:
7d +d +d=45
Step-by-step explanation:
The length shown for the green line is shown as 45 therefore the black line also has 45
to prove your answer:
7d + d + d = 45
9d = 45
you need to get the letter d on its own so you
9d ÷9 = 45 ÷ 9 (what you do on the one side,you do on the other)
d = 5
*substitute
5 + 7(5) + 5
= 5+ 35 + 5
= 40 +5
= 45
Graph and label the image of the figure below after a dilation by a factor of 1/2.
Answers
M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)
see graph below
Explanation:Given:
The image of a quadrilateral on a coordinate plane
To find:
The coordinates of the new image after dilation of 1/2 have been applied to the original image.
Then graph the coordinates
First, we need to state the coordinates of the original image:
M = (3, -2)
F = (4, -2)
L = (1, -5)
W = (5, -5)
Next, we will apply a scale factor of 1/2:
\(\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}\)\(\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}\)The new coordinates:
M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)
M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)
Plotting the coordinates:
What is the slope of the line that contains these points?
2
8
11
14
17
у
36
12
-12
-36
Answers
Answer:
m=-4
y intercept is (0,44)
Step-by-step explanation:
Please combine like terms for the following problem:
7x + 5 - 15x - 23 + 5y
Answers
Answer:
7x + 5 -15x -23 +5y
= -8x-18+5y
Step-by-step explanation:
Answer:
-8x-18+5y
Step-by-step explanation:
You basically just add all of the like terms such as
- 7x and -15x
- 5 and -23
and 5y is on its own
2. Find the missing side length
of the right triangle below.
24 ft.
25 ft.
Answers
Step-by-step explanation:
Since it's a right triangle, you can use Pythagoras
a^2 + b^2 = c^2
We have b and c, we just need a, so let's plug it in
\( {x}^{2} + {24}^{2} = {25}^{2} \)
\( {x}^{2} + 576 = 625\)
\( {x}^{2} = 49\)
\(x = 7\)
Answer: 7ft
Step-by-step explanation:
hypotenuse (h) = 25
perpendicular (p) = 24
base (b) = ?
We know by using Pythagoras theorem
b = √h² - p²
= √ 25² - 24²
= √ 49
= 7 ft
B is between A and C. AB = 3x, BC = 2x + 7, AC = 42
a) X =
b)AB =
c)BC=
Answers
Answer: x=7
ab=21
bc=14
Step-by-step explanation:
ab=3x
bc=2x±7
ac=42
3x±2x±7=42
5x±7=42
5x=42-7
5x=35
to get the value of x you divide 35 by 5x
35÷5x=7
so the value of x is 7
ab=3x
x=7
3x=7×3x
7×3=21
x=7
2x=7×2x
2×7=14
Niah has 34 gems and gives 8 to her sister how much does Niah have now?
Answers
Answer:
answer is 26 gems
Step-by-step explanation:
you subtract 8 from 34 and you get 26 as your answer
Consider the following series data.
Quarter Year 1 Year 2 Year 3
1 4 6 7
2 2 3 6
3 3 5 6
4 5 7 8
a) Show the four-quarter and centered moving average values for this time series.
b) Compute seasonal indexes and adjusted seasonal indexes for the four quarters.
Answers
The four-quarter moving average and centered moving average values for this time series-
Quarter | Average | Overall Average | Adjusted Seasonal Index
1 | 5.67 | 4.875 | 1.16
2 | 3.67 | 4.875 | 0.75
3 | 4.67 | 4.875 | 0.96
4 | 6.67 | 4.875 | 1.37
What is Quarter?
A quarter is a three-month period in a company's financial calendar that serves as the basis for regular financial reports and dividend payments.
a) To calculate the four-quarter moving average, we sum up the values for each quarter over the past four years and divide by 4.
Quarter | Year 1 | Year 2 | Year 3 | Moving Average
1 | 4 | 6 | 7 | -
2 | 2 | 3 | 6 | -
3 | 3 | 5 | 6 | -
4 | 5 | 7 | 8 | -
To calculate the centered moving average, we take the average of the values for each quarter and the neighboring quarters.
Quarter | Year 1 | Year 2 | Year 3 | Centered Moving Average
1 | 4 | 6 | 7 | -
2 | 2 | 3 | 6 | (4+2+3)/3 = 3
3 | 3 | 5 | 6 | (2+3+5)/3 = 3.33
4 | 5 | 7 | 8 | (3+5+7)/3 = 5
b) To compute the seasonal indexes, we need to find the average value for each quarter over the three years.
Quarter | Year 1 | Year 2 | Year 3 | Average
1 | 4 | 6 | 7 | 5.67
2 | 2 | 3 | 6 | 3.67
3 | 3 | 5 | 6 | 4.67
4 | 5 | 7 | 8 | 6.67
To compute the adjusted seasonal indexes, we divide the average value for each quarter by the overall average of all the data points.
Quarter | Average | Overall Average | Adjusted Seasonal Index
1 | 5.67 | 4.875 | 1.16
2 | 3.67 | 4.875 | 0.75
3 | 4.67 | 4.875 | 0.96
4 | 6.67 | 4.875 | 1.37
Therefore, the four-quarter moving average and centered moving average values for this time series are not available based on the given data. The computed seasonal indexes and adjusted seasonal indexes are as shown above.
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find the slope of the graph
Answers
Answer:
2
Step-by-step explanation:
consider the two points. Gradient=change in y/change in x. So 4/2=2
two points in a rectangular coordinate system have the coordinates (4.8, 2.5) and (−3.2, 5.0), where the units are centimeters. determine the distance between these points.
Answers
To determine the distance between two points in a rectangular coordinate system, we can use the distance formula. Given the coordinates of the points (4.8, 2.5) and (-3.2, 5.0), we can calculate the distance as follows:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
Distance = √((-3.2 - 4.8)^2 + (5.0 - 2.5)^2)
Simplifying further:
Distance = √((-8)^2 + (2.5)^2)
Distance = √(64 + 6.25)
Distance = √70.25
Distance ≈ 8.38 centimeters
Therefore, the distance between the points (4.8, 2.5) and (-3.2, 5.0) is approximately 8.38 centimeters.
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A regular hexagon has an apothem of 14. 7 inches and a perimeter of 101. 8 inches. What is the area of the hexagon?.
Answers
Answer:
748.23 in²
Step-by-step explanation:
Area of a Regular Polygon
\(\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}\)
where:
n = number of sidesl = length of one sidea = apothemGiven:
n = 6l = 101.8 ÷ 6a = 14.7Substituting the given values into the formula and solving for A:
\(\implies \textsf{A}=\dfrac{6 \cdot \dfrac{101.8}{6} \cdot 14.7}{2}\)
\(\implies \sf A=\dfrac{101.8 \cdot 14.7}{2}\)
\(\implies \sf A=\dfrac{1496.46}{2}\)
\(\implies \sf A=748.23\)
Therefore, the area of the hexagon is 748.23 in²
Simplify.
Rewrite the expression in the form 4^x
(4^6)(4^-8)
Answers
Answer:
4^-2
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
This means ...
(4^6)(4^-8) = 4^(6-8) = 4^-2
the branch of mathematics that analyses the strategic behavior of decision makers is known as _____
Answers
The branch of mathematics that analyses the strategic behavior of decision-makers is known as game theory.
The branch of mathematics that analyzes the strategic behavior of decision-makers is known as Game Theory.
Game theory is the study of the mathematical modeling of social interactions between agents. [1] It has applications in all areas of the social sciences, including logic, systems science, and computer science. It was originally focused on a two-player zero-sum game where each player's win or loss equals the other player's win or loss. In the 21st century, game theory applies to many social relationships; is now the subject of research on decision-making in humans, animals, and computers. The modern theory begins with the idea of a combination of competition in a two-player zero-sum game and its proof by John von Neumann.
Von Neumann's original proof of continuity in a linear system using Brouwer's fixed point theorem has become a standard in game theory and business mathematics. His research was based on the 1944 book Game Theory and Economic Behavior by Oskar Morgenstern, which deals with multiplayer cooperative games. The second edition of this book presents an axiomatic theory of expected utility that enables mathematical statisticians and economists to solve decisions in uncertainty.
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What is the value of x?
Answers
The value of the variable x for the arc angle m∠AB and the angle it subtends at the center of the circle C is equal to 73.
What is angle subtended by an arc at the centerThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.
Thus:
3x - 46 = x + 98
3x - x = 98 + 46 {collect like terms}
2x = 146
x = 146/2 {divide through by 2}
x = 73
Therefore, the value of the variable x for the arc angle m∠AB and the angle it subtends at the center of the circle C is equal to 73.
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I need help! Please tell me
Answers
Answer:
y = 2x + 6
y = -1/4 x - 3
Step-by-step explanation:
We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.
The equations are:
y = 2x + 6
y = -1/4 x - 3
&
y = -1/4 x -3