Answers
Answer:
The last one on the right
Step-by-step explanation:
The others are 2 equations in x and y, while the last is one equation in x only and another in y only
The solution is Option D.
The system of equations 3 = y + 1 and x = -6 are equations is one variable
What is Linear Equation in 2 variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
Let the system of equations be
y = 3x - 1 be equation (1)
y = 3x + 1 be equation (2)
Now , the equations are linear equations in 2 variables
b)
Let the system of equations be
-2x + y = 2 be equation (1)
-4x + 2y = 4 be equation (2)
Now , the equations are linear equations in 2 variables
c)
Let the system of equations be
y - 1 = 2 ( x + 4 ) be equation (1)
y + 3 = -5 ( x + 1 ) be equation (2)
Now , the equations are linear equations in 2 variables
d)
Let the system of equations be
3 = y + 1 be equation (1)
y = 2
x = -6 be equation (2)
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
So , the equation is linear equation is one variable
Hence , the equations y = 2 and x = -6 are equations in one variable
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Related Questions
explain how to graph the given piecewise-defined function. be sure to specify the type of endpoint each piece of the function will have and why.
Answers
The endpoint of each piecewise-defined function is obtained.
Explain the piecewise-defined function?A function that is defined by many sub-functions, each of which applies to a specific interval of the main function's domain, is known as a piecewise-defined function (also known as a piecewise function or even a hybrid function) (a sub-domain).The stated function is-
-x + 3 ; x < 2
3 ; 2 ≤ x < 4
4 - 2x ; x ≥ 4
Due to x being bounded, the graph of f(x) = -x + 3 is drawn for x smaller than 2.Because x is bounded (greater than or equal to 2, but less than 4), the graph of f(x) = 3 is drawn.For x higher than or equal to 4, the graph of f(x) = 4 - 2x is drawn since x is bounded.For greater clarity, see the graph that is attached.
Purple is the representation of f(x) = -x + 3.Orange is a representation of f(x) = 3.Green represents the equation f(x) = 4 - 2x.To know more about the piecewise-defined function, here
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The complete question is-
Explain how to graph the given piecewise-defined function. Be sure to specify the type of endpoint each piece of the function will have and why. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 3, 2nd column x less-than 2 2nd row 1st column 3, 2nd column 2 less-than-or-equal-to x less-than 4 3rd Row 1st column 4 minus 2 x, 2nd column x greater-than-or-equal-to 4 EndLayout
50 POINTS PLEASE HELP
Write quadratic functions given three points in a plane
1) Find the equation for the parabola using the linear system (pictured)
2) Write three equations using three ordered pairs
3) Write the linear system
4) Solve the system using substitution then elimination, show all work and steps
5) List the three parameter values
6) Write the quadratic equation
Answers
The resulting quadratic equation that represents the parabola is y = 2 · x² - 7 · x - 4.
How to determine the quadratic equation that represents a parabola
In this problem we find the representation of a parabola. Parabolae are always represented by quadratic equations, that is, polynomials of the form:
y = a · x² + b · x + c
Where:
x - Independent variable.y - Dependent variable.a, b, c - Real coefficients.First, write the coordinates of the three points highlighted on Cartesian plane:
(x₁, y₁) = (- 1, 5), (x₂, y₂) = (0, - 4), (x₃, y₃) = (4, 0)
Second, create a system of linear equations based on the three points and the equation of the parabola:
a - b + c = 5
c = - 4
16 · a + 4 · b + c = 0
Third, solve the system of linear equations:
Step 1 - Second equation:
c = - 4
Step 2 - Second equation in the first and third equations:
a - b = 9
16 · a + 4 · b = 4
Step 3 - Clear a in the first equation on Step 2:
a = 9 + b
Step 4 - Substitute a in the second equation on Step 2:
16 · (9 + b) + 4 · b = 4
144 + 20 · b = 4
20 · b = - 140
b = - 7
Step 5 - By the equation on Step 3:
a = 9 - 7
a = 2
Fourth, write the solution of the system of linear equations:
(a, b, c) = (2, - 7, - 4)
Fifth, write the resulting quadratic equation:
y = 2 · x² - 7 · x - 4
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Which is the product of 56 and 5/9
1, 1 and 4/9
2, 30
3, 31
4, 31 and 1/9
Answers
Answer:
4.
Step-by-step explanation:
strange phrasing of the answer options.
anyway, the product of 56 and 5/9 is
56 × 5/9 = 56×5 / 9 = 280/9 = 31 1/9
or as the definition says 31 and 1/9.
because 31×9 = 279.
280 - 279 = 1
so, there is a remainder of 1, which means 1/9.
280/9 = 279/9 + 1/9 = 31 1/9
In April, Anthony's shop made a daily profit of $400 in 12 days and a daily loss of $300 in the rest of the month. It is given that his shop opened every day in April. Find the average daily profit or loss of Anthony's shop in April.
please use directed numbers to solve
Answers
The average daily loss of Anthony's shop in April is $20.
How is the average daily loss determined?The average daily loss is the total net profit (loss) divided by the number of days in April.
An average is the mean of the value in a data set, which is determined as the quotient between the total value and the number of items.
Days in April = 30
Daily profit in 12 days = $400
Daily loss in 18 days (30 - 12) = $300
Total daily profit = $4,800 ($400 x 12)
Total daily loss = $5,400 ($300 x 18)
Net daily loss = $600 ($5,400 - $4,800)
Average daily loss = $20 ($600/30)
Thus, in April, Anthony's shop incurred an average daily loss of $20.
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reliability is part 2 a. the probability that a machine part or product will function properly for a specified time under stated conditions. b. improving individual components with maintenance.
Answers
Maintenance tactics include providing redundancy.
This is the correct answer (B).
Now, According to the question:
Let's know:
Probability:- It is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
B. Maintenance tactics include providing redundancy.
This is the correct answer (B).
The complete question is this:
Which of the following statements is NOT true?
A. Good maintenance and reliability management enhances a firm's performance and protects its investment.
B. Maintenance tactics include providing redundancy.
C. Reliability is the probability that a machine part or product will function properly for a specified time under stated conditions.
D. Maintenance includes all activities involved in keeping a system's equipment in working order.
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Sixth grade
Y.7 Evaluate variable expressions: word problems 7XA
A dinner party with t tables and s seats at each table needs 5ts pieces of silverware. Aaron
works as a party planner. He is planning a dinner party with 10 tables and 8 seats at each
table.
How many pieces of silverware does the dinner party need?
Write your answer as a whole number or decimal.
pieces of silverware
Submit
Work it out
Not feeling ready yet? These can help:
You have prizes to reve
Evaluate variable expressions with whole numbers (100)
Evaluate variable expressions with decimals
Answers
The dinner party needs 400 pieces of silverware for 10 tables and 8 seats at each table. By evaluating the given expression, we get the required value.
What is the given expression and how it is related to the required value?The given expression is,
A dinner party with tables t' and seats at each table 's' needs "5ts" pieces of silverware.
I.e., number of pieces of silverware = 5ts
Thus, the given expression gives the required value.
Calculation:If Aaron is planning for a dinner party with t = 10 tables and s = 8 seats at each table, then the number of pieces of silverware required for the dinner party is
5ts = 5 × 10 × 8 = 40 × 10 = 400
Therefore, it needs 400 piece of silverware.
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Which expression is equivalent to 3 ( 4 x + 10 ÷ 2 + 3 ) ?
Answers
Michael finished â…" of a bag of candy in 3 days. at this rate, how long will it take him to eat the entire bag of candy?
Answers
Answer:
3 days.
Step-by-step explanation:
The first sentence states that Michael ate a whole bag in 3 days. That's how long it will rtake him to eat a bag of candy, assuming it is the same size and tastiness as the first.
9. Salvador is playing a game where the
product must be greater than 5. Which two
cards result in a product greater than 5?
31/1/2
3
A. 1 and 4
B. 3 and 1
2
C. 3 and 12
8
D. 2 and 12/2
3
1/4/2
8
3
Answers
Answer:
The answer should be A.
Step-by-step explanation:
write the sentence as an equation 22 equals a reduced by 295
Answers
Answer: 22 = a - 295
Step-by-step explanation:
"equals" means equals or the solution and can be shown with the equal sign.
"reduced by" also means subtracted by and can be shown as the minus sign.
I hope this helps :)
solve for x multiple choice
Answers
Answer:
12
Step-by-step explanation:
Using the side splitter theorem, [tex]\frac{x}{32}=\frac{9}{24} \implies x=12[/tex].
What is the volume of the sphere 3,3
Answers
Answer: r≈0.89
Step-by-step explanation:
What is 1 1/4 as a improper fraction?
Answers
The improper fraction of the mixed fraction 1 1 / 4 is 5 / 4.
How to represent mixed fraction to improper fraction?An improper fraction has a numerator greater than the denominator. In other words, Improper fractions are defined as fractions for which the numerator is greater than the denominator.
The fraction is in mixed fraction, 1 1 / 4 .
A mixed fraction is defined as a fraction formed by combining a whole number and a fraction.
Hence, let's convert the mixed fraction to improper fraction.
Therefore,
1 1 / 4 = 5 / 4
Therefore, the improper fraction is 5 / 4.
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If f(x)=x²-2 and g(x)=x-3, what is (fog)(x)?
O (fog)(x) = x² +7
(fog)(x)=x²-6x+7
O (fog)(x)=x²-3x+7
O (fog)(x)=x²-5
Answers
Answer:
The correct answer is (fog)(x) = x² - 6x + 7.
To evaluate (fog)(x), you first need to find g(x) and then substitute the result into f(x).
g(x) = x - 3
So, (fog)(x) = f(g(x)) = f(x - 3) = (x - 3)² - 2 = x² - 6x + 9 - 2 = x² - 6x + 7.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
SELF EXPLANATORY
Answer:
[tex](f \circ g)(x)=x^2-6x+7[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=x^2-2\\g(x)=x-3\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
The given composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x):
[tex]\begin{aligned}(f \circ g)(x)&=[g(x)]^2-2\\&=(x-3)^2-2\\&=x^2-6x+9-2\\&=x^2-6x+7\end{aligned}[/tex]
solve the matrix equation: x1 x2 −2 5 = 8 15 x1 = x2 =
Answers
We obtain x1=10 and x2=10 by solving the one-step matrix equation.
Explain about the Matrix?A matrix is a set of numbers arranged in rows and columns. Learn about the dimensions and components of matrices by starting your first introduction. A rectangular grid of numbers organized into rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns.
An arrangement of numbers, occasionally expressions and symbols, in rows and columns is called a matrix. Quantum mechanics, optics, mathematics, and other mathematical functions are all solved using matrix formulas.
Matrices are very expensive items that are used in a variety of applications. Matrix applications are employed in a variety of scientific disciplines in addition to mathematics.
x1 + (-2) = 8
x2 +( 5) = 15
solve 1
x1 - 2 = 8
On both sides of the equation, add 2.
⇒ x1 -2 + 2 = 8 +2
⇒ x1 =8 +2
⇒ x1 = 10
Equation 2 resolution
x2 + 5 = 15
On both sides of the equation, deduct 5
⇒x2 + 5 -5 = 15 - 5
⇒ x2 = 15 - 5
⇒ x2 = 10
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If a building contractor hires 8 day laborers and 2 concrete finishers, his payroll for the day is $1464. If he hires 1 day laborer and 5 concrete finishers, his daily cost is $943. Find the daily wage for each type of worker. Solve the problem using matrices.
Answers
The day worker's daily compensation is $160, while the concrete finisher's daily wage is $143.
What is matrices?A matrix is a numerical arrangement that is divided into rows and columns. Introduce yourself to matrices and learn about their dimensions and elements. A matrix is a rectangular array of integers divided into rows and columns. Matrix A, for example, contains two rows and three columns. A matrix is a collection of integers that are organized in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.
Here,
Let x be the Charge for day labor and y be the charge for concrete finisher,
8x+2y=1464
x+5y=943
multiply x+5y=943 by 8,
8x+40y=7544
8x+2y=1464
subtracting them,
38y=6080
y=$160
x+5*160=943
x=943-800
x=$143
The daily wage for day worker is $160 and the daily wage for concrete finisher is $143.
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A wooden box in the shape of a rectangle prism has a diagonal with a length of 25 centimeters, as shown.
What is the length of DH ?
___ centimeters
Answers
Using Pythagoras theorem the side length of DH is 9cm
Pythagoras's TheoremPythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
To find the value of DH, we can use Pythagoras's theorem to find the length of HC
EC² = EH² + HC²
25² = 20² + HC²
HC² = 25² - 20²
HC² = 225
HC = √225
HC = 15
Using Pythagoras's theorem again, we can find DH
HC² = DC² + DH²
15² = 12² + DH²
DH = 9
The length of DH is 9cm
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The elevation of City A is 60 feet above sea level. The elevation of City C is 12 feet above sea level. The elevation of City D is 1 over 2 of the elevation of City C.
Part A: Write an expression to represent the elevation, in feet, of City D. (5 points)
Part B: Solve the expression, and explain why the answer is negative or positive. (5 points)
Answers
A) D = 1/2[C] = 1/2[-16]
B) Elevation of city D is -8 feet.
Answer is negative due to -8 feet below sea level.
What is elevation?
The elevation is the height above sea level. Typically, elevations are expressed in feet or meters. Maps can depict them using contour lines, which link points of the same elevation, color bands, or numbers that indicate the precise elevations of specific points on the surface of the Earth.
The elevation of city A is 60 feet below sea level
⇒ A = -60
The elevation of city C is 16 feet below sea level
⇒ C = -16
The elevation of city D is 1 over 2 of the elevation of city C.
⇒ D = 1/2[C]
Part A: Write an expression to represent the elevation, in feet, of city D.
⇒ D = 1/2[C] = 1/2[-16]
Part B: Solve the expression and explain why the answer is negative or positive.
⇒ D = 1/2[-16]
D = -8
As a result Elevation of city D is -8 feet.
Here founded answer is negative due to -8 feet below sea level.
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help please! will give brainlest
Answers
Answer: 20°
Step-by-step explanation:
The sum of all the interior angles of a triangle is 180°
So to find the missing angle you just need to subtract 25° and 135° from 180°, which equals 20°
x + 25 + 135 = 180
x + 160 = 180
x = 180-160
x = 20
Find the slope of the line that passes through M(3, 5) and N(2. 6).
Answers
slope is 6-5/2-3 = - 1.....
Answer: -1
Step-by-step explanation:
Aria measured a line to be 5.1 inches long. If the actual length of the line is 4.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer: 6.3%
Step-by-step explanation:
what are m and b in the linear equation, using the common meanings of m and b? 2+3X+5-2X=y
Answers
Answer: m = 1, b = 7.
Step-by-step explanation:
First, you must convert 2 + 3x + 5 - 2x = y to slope-intercept form. (y = mx + b)
y = mx + b
y = x + 7
The slope (m) is 1
The y-intercept (b) is 7
Aaliyah throws a ball up in the air. The graph below shows the height of the ball hh in meters after tt seconds. How many seconds have gone by when the ball is at its highest point?
Answers
The number of seconds the ball has gone by when the ball is at its highest point is 1 second
How to determine the number of seconds?From the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following axis label
x-axis label: Timey-axis label: HeightThe highest point on the graph is the vertex of the graph
In this case, the point is
(t, h) = (1, 4.9)
Remove the h-coordinate
t = 1
This means that the time is 1 second
Hence, the ball has gone by 1 second when the ball is at its highest point
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16. If an object moves around a circle of radius r at constant speed v, it has an acceleration towards the center of the circle, of magnitude: 7"
Answers
If an object moves around a circle of radius r at constant speed v, it has an acceleration towards the center of the circle, of magnitude: 7",, the magnitude of the acceleration towards the center of the circle is:
a = v^2/r
The acceleration of an object moving around a circle at constant speed is not constant. The magnitude of the acceleration is equal to the square of the speed, divided by the radius of the circle. Therefore, the magnitude of the acceleration towards the center of the circle is:
a = v^2/r
An object moving around a circle of radius r at constant speed v experiences an acceleration towards the center of the circle. This acceleration is known as centripetal acceleration, and is equal to the square of the speed, divided by the radius of the circle. Mathematically, this can be expressed as a = v^2/r. Therefore, the magnitude of the acceleration towards the center of the circle is equal to v^2/r.
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a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees. in how many ways can this company buy them?
Answers
Number of ways can this company buy them is 1623160.
Given :
a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees.
Number of ways = [tex]35_C_6[/tex] or C ( 35 , 6 )
we know that ,
C ( n , r ) = n! / ( n - r ) ! r!
substitute
= 35 ! / ( 35 - 6 ) ! 6!
= 35 * 34 * 33 * 32 * 31 * 30 * 29! / 29! * 6!
= 35 * 34 * 33 * 32 * 31 * 5 / 5 * 4 * 3 * 2 * 1
= 35 * 17 * 33 * 32 * 31 / 4 * 3
= 35 * 17 * 11 * 8 * 31
= 1623160 ways
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What is the difference between 5 hundreds 6 tens and 4 tens
Answers
The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.
Explain hundred, tens and ones.Each digit in a number has a unique place and value. A number might contain multiple digits. The first digit will be at the ones place, the second digit at the tens place, and the third digit at the hundreds place, starting from the right.
How many tens are in hundred?There are 10 tens in hundred.
5 hundreds= 5*100
6 tens =6*10
4 ones= 4*1
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The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.
Explain hundred, tens and ones.
Hundred, tens, and ones are a way of representing numbers in base 10. This means there are ten digits (0-9) used to represent all numbers. When counting in hundreds, tens, and ones, the number 100 is the largest number represented with one digit, followed by the numbers from 101 to 199. Tens are represented with two digits, such as 20, 30, 40, 50, and so on. Ones are single digits, such as 1, 2, 3, 4, and so on. This system of counting is used to represent all numbers, no matter how large or small.
How many tens are in hundred?
There are 10 tens in hundred.
5 hundreds= 5*100
6 tens =6*10
4 ones= 4*1
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Challenge The price of Stock A at 9 AM. was $14.62. Since then, the price has been increasing at the rate of $0.13 each hour. At noon the price of Stock B was $15.37. It begins to decrease at the rate
of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
After 2.68 hours the price of both stocks be the same.
What is stock?A stock denotes an investment to the public company. The term stock is used to confirm the certificate of all shareholders who invested for a large company.
What is stock price?The word stock price refers the current value or market price. price can be dropped or extended or remain the same.
Given, The price of stock A at 9AM =$14.62
since then, this price start increasing $0.13 per hour
At noon the price of Stock B =$15.37
since then, this price start decreasing $0.15 per hour
let, it takes x hours that the prices of both stocks become equal.
after x hour the stock A become $14.62+$0.13x
after x hours the stock B become $15.37-$0.15x
as per given statement, 14.62+0.13x = 15.37-0.15x
solving equation, we get x=2.68
hence, after 2.68 hours the price of both stocks be the same.
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Answer:
1 2/7 hours (after noon)
Step-by-step explanation:
You want to know how long after noon two stocks will have the same price if A was $14.62 at 9 a.m. and increasing $0.13 per hour, while B was $15.37 at noon and decreasing $0.15 per hour.
SetupIf x represents hours after midnight, the price of stock A can be described by ...
A = 14.62 +0.13(x -9)
and the price of stock B can be described by ...
B = 15.37 -0.15(x -12)
SolutionThe two prices will be the same when ...
A = B
14.62 +0.13(x -9) = 15.37 -0.15x -12 . . . . . substitute for A and B
0.13x +13.45 = -0.15x +17.17
0.28x = 3.72 . . . . . . . . . add 0.15x-13.45
x = 3.72/0.28 = 13 2/7 . . . . . . hours after midnight
To find the number of hours after noon, we need to subtract 12 from this number. 13 2/7 -12 = 1 2/7
The two stocks will be the same price after 1 2/7 hours.
__
Additional comment
That's about 1:17 p.m.
The wording "in how many hours" is a bit ambiguous, since there are two different time references given in the problem. We assume we want hours after the later time reference, noon.
Determine whether the correspondence is a function. Is this correspondence a function? Yes No
Answers
No, this correspondence is not a function because a function is a relation between two sets of values in which each value of the first set corresponds to exactly one value in the second set.
In this case, there is no information given about the correspondence, so it is impossible to determine if it is a function or not.
A function is a special type of relation in which each value of the first set, sometimes referred to as the domain, is associated with exactly one value in the second set, called the range. A function must satisfy the property of functional uniqueness, meaning that each element of the domain is associated with exactly one element in the range. If a correspondence fails to meet this requirement, then it is not a function. Without knowing any more information about the correspondence, it is impossible to determine if it is a function or not.
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When solving x² - 10x-13-0 by completing the square, which equation is a step in the
process?
1) (x - 5)² = 38
2) (x - 5)² = 12
3) (x-10)² = 38
4) (x-10)² = 12
Answers
Answer:
1)
Step-by-step explanation:
[tex] {(x - 5)}^{2} = 38[/tex]
The required step solving the equation using Completing the square method is (x - 5)² = 38.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation: x² - 10x-13 = 0
Now, half the coefficient of x and add and subtract the square of the half of the coefficient of x.
So, x² - 10x-13 = 0
x² - 10x-13 -5² + 5² = 0
(x - 5)² - 25 - 13 = 0
(x-5)² -38= 0
(x - 5)² = 38
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Please help solve this problem
Answers
Answer:
120m/s
Step-by-step explanation:
v-? (speed)
s-5400m(travel)
t-45s(time)
v=s/t
v=5400/45
v=120m/s
