A is the variable and X is the coefficient term in the supplied X2 expression. An algebraic expression is used to solve a particular mathematical problem .
what is variable ?In mathematics, a variable is an alphabet or phrase that denotes an unknowable quantity, unknowable value, or unknowable number. In the case of algebraic expressions or algebra, the variables are employed specifically. The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.
given
The coefficient term is denoted as X2, and the variable is A.
An algebraic expression is used to solve a particular mathematical problem by combining words and numbers.
For instance, the numerical coefficient in the equation 5x is 5, meaning that the variable x has been multiplied by 5 times.
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i dont understand it
Answer:
x=-3
y=10
Step-by-step explanation:
The product of 15 and a number has a result in 15 what is the number
1
Step-by-step explanation:To find an unknown number we can use properties of equality.
Algebraic Method
Another word to describe an unknown number is "variable". For the equation, I will call this variable x. Any variable can be used, but x is the most common.
We can write an equation to describe the situation. The statement says that the product of 15 and x is 15. This means that 15 * x = 15. Now we can use algebra to solve this equation.
To find x, divide both sides by 15.
x = 1Identity Property of Multiplication
Additionally, if you know all the properties of equality, you can answer this question without doing any math. One of the properties of equality is the identity property of multiplication. The identity property states:
a * 1 = aThis means that any number multiplied by 1 is itself. So, since the factor and product are equal, the other factor must be 1. If you plug 15 in for a, you can see how this property applies to this situation.
Please help!! Find the area of the circle use 3.14 for pi
Answer:
when pi = 3.14, A = 63.535
when pi = pi, A = 63.61725
Step-by-step explanation:
Area of a circle = pi × radius (4.5) squared (^2)
any and all help is appreciated, brainliest will be given ! :)
Answer:
x = 16±2√94 over 3
Step-by-step explanation:
Move terms to the left side.
0 = -6x² + 64x + 80
- ( -6x²+64+80) = 0
Distribute
- ( - 6x²+64x+80) = 0
6x² - 64x - 80 = 0
Common factor
6x² - 64x - 80 = 0
2 (3x²-32x--40) = 0
Divide both sides by the same factor
2 (3x²-32x--40) = 0
3x² - 32x - 40 = 0
Use the quadratic formula (Not explainin this, I forgot this one.)
Simplify
1.Evaluate the exponet
2.Mulitply the numbers
3.Add the numbers
4.Evaluate the sqaure root
5.Mulitply the numbers(Do this 2 more times.)
x = 32±4√94 over 6
Separate the equations
to solve for the unknown varible, separate into two eqautions: one with a plus and another with a minus.
Solve
Rearrange and isolate the varible to find each solution.
Find the value of x.
Use statement and reason format.
By using properties for angles we can find and solve some linear equations, there we can see that x = 30°.
How to find the value of x?Remember that the sum of the interior angles of a triangle must give 180°, and we also know that the angle defined by a line is 180°.
Let's define N as the angle located at vertex N of the right triangle in the left side, we then can write:
2x + 90° + N = 180°
And we also can write the linear equation:
105° + 45° + N = 180°
Solving this one, we can find the value of N.
N = 180° - 45° - 105° =30°
N = 30°
Replacing that in the equation with x we will get:
2x + 90° + 30° =180°
2x = 180° - 90° - 30°
2x = 60°
x = 60°/2 = 30°
The value of x is 30°.
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Solve by using substitution. x+2y=−1 x=y+5
Answer:
Step-by-step explanation:
the first equation we konw x=-2y-1,
then -2y-1=y+5
so, y = -2, x=3
Answer:
y = -2
x = 3
Step-by-step explanation:
y + 5 + 2y = -1 (substitute)
3y + 5 = -1 (Simplify)
3y = -6 (Get rid of 5)
y = -2 (Divide)
x = -2 + 5 (plug in y)
x = 3 (simplify)
hope this helps :)
find the rate of change y=−√x−4 +5
The rate of change, y=−√x−4 +5 , is expressed as 1/5−2i/5 .The square root of a number is the number itself.
what is a square root ?A number can be obtained by multiplying the square root by itself. Square root is represented by the symbol sqrt, which stands for square root of, end square root. The reverse of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number can be found by looking for a number that, when squared, yields the original value. If 'a' is the square root of 'b,' then a a = b.
given
Use the average rate of change formula to substitute.
(√1)−(√−4) / (1)−(−4)
Condense the phrase.
1/5−2i/5
The rate of change, y=−√x−4 +5 , is expressed as 1/5−2i/5 .The square root of a number is the number itself.
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Which of the following is the quotient of the rational expressions shown
below?
X/3x-1 divide x-2/2x
Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.
In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).
To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.
The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).
The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).
To divide these two expressions, you can divide the numerators and the denominators separately:
(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)
= (2x^2) ÷ (3x^2-3x+2)
= (2/3)x^2 ÷ (x^2-x+2/3)
Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)
Step-by-step explanation:
Find the output, y, when the input, z, is -4.
y=
-8-6 -4
8
6
a f
Y
4-
2-
do
-2-
-4-
-6+
4
6/ 8
Answer:
y = 1
Step-by-step explanation:
locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 1 ), so
when input x = - 4 the output is y = 1
a smallercircle passes through the center of, and is tanget to a larger cirlc the area of the smaller circle is 9 square units. What is teh area of the larger circle in square units
36 square units make up the larger circle's surface area.
We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.
Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.
We know that the area of a circle is given by the formula A = πr^2.
We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:
A = πr^2 => r^2 = 9/π => r = sqrt(9/π)
Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:
A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36
So the area of the larger circle is 36 square units
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Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x. (8x 3)(4x 7)
The product of the two polynomials is (8x³)(4x⁷) = 32x¹⁰.
THE POLYNOMIALSWhen we multiply two polynomials together, we add the exponents of the x's in each term. In this case, we have 8x³ and 4x⁷. The x in 8x³ has an exponent of 3, and the x in 4x⁷ has an exponent of 7. To find the product of the two polynomials, we add the exponents of the x's in each term, so 3 + 7 = 10. The x in the product will have an exponent of 10. The coefficient, or the number in front of the x, is also multiplied together, so 8 × 4 = 32.So the final answer is 32x¹⁰, where 32 is the coefficient and 10 is the exponent of x.The polynomial 32x¹⁰ is an example of a polynomial, but it's not a characteristic of a polynomial.A polynomial is a mathematical expression involving a sum of powers in one or more variables (such as x, y, z) with non-negative integer exponents and real or complex coefficients. A polynomial can have one or more terms, and each term is separated by a plus or minus sign.Learn more about polynomial here:
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for each mentor artist, write an equation and a graph showing the proportional relationship between the art sold and your total commission.
Sara's pieces of art sell for $25 each your commission is 60%
Ravi's pieces of art sell for $2000 each your commission is 25%
x represents the number of pieces of art sold
y represents the total commission
K represents the commission per piece of art
The equations of the commissions are
Sara: y = 15xRavi: y = 500xHow to determine the equations and the graphFrom the question, we have the following parameters that can be used in our computation:
Sara's pieces of art sell for $25 and commission is 60%Ravi's pieces of art sell for $2000 and commission is 25%Also from the question, we have:
x represents the number of pieces of art soldy represents the total commissionThis means that:
Commission = Unit rate * Commission proportion * Number of pieces
Using the above as a guide, we have the following:
Sara: y = 25 * 60% * x
Ravi: y = 2000 * 25% * x
Evaluate
Sara: y = 15x
Ravi: y = 500x
See attachment for the graph of the commission equations
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1/2% in decimal
please give me my answer Also
I AM NOT ASKING for 1/2 in decimal
I am asking for 1/2 percent in decimal
Answer:
Step-by-step explanation:
We know that : Percentage means 'divided by 100'
therefore, 1/2 percent = 1 / 2 ÷ 100 = 0.5 ÷100 = 5÷1000= 0.005
need help plsssssssss
Answer: y<-5x+9
Step-by-step explanation:
Slope is -5, y-intercept is 9 and the shaded area is on the left side (meaning y is less than the line). The line is dotted which means that the answer will less than but not equal to.
Solve the following quadratic equation, leaving your answer in exact form:
2e²-8e +7= 0
Pls can anyone help it would rrly help out
Answer:
The two answers would be 0 and ln (7)
Step-by-step explanation:
Hope it helps:)
Mrs. Hubble was paid a total of $1,677 to make some custom dresses. She was paid $129. To make each one. The equation 1,677= 129d represents this situation where d equals the number of dresses she made. What is the value of d in the equation?
The value of d in the equation is 13 and it is equal to the number of dresses made by her.
The total amount paid by Mr. Hubble to make some custom dresses is 1677 dollars.
The price paid to make one dress is 129 dollars.
The equation that represents this situation is given to be 1677 = 129d
Where d is the number of dresses made,
Now, using simple algebra,
1677 = 129d
d = 1677/129
d = 13
So, she has made a total number of dress she made is 13 and the value of d is the equation is also 13.
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(Constant of Proportionality, Graphing Proportional Relationships, Real-World Proportional Problems HC) An ice cream shop serves chocolate milkshakes that are made with ice cream and milk. There is a proportional relationship between the number of scoops of ice cream and the amount of milk needed to make them. For every 1 scoop of ice cream, cup of milk is needed, and for every 5 scoops of ice cream, cups of milk are needed. Part A: Find the constant of proportionality. Show every step of your work. (4 points) Part B: Write an equation that represents the relationship. Show every step of your work. (2 points) Part C: Describe how you would graph the relationship. Use complete sentences. (4 points) Part D: How many cups of milk are needed for 18 scoops of ice cream? (2 points)
The constant of proportionality is 2
The equation of the relationship is s = 2mThe number of cups for 18 scoops is 9 cupsHow to determine the constant of proportionalityFrom the question, we have the following parameters that can be used in our computation:
1 scoop of ice cream = 1/2 cup of milk
5 scoops of ice cream = 2.5 cups of milk
The constant of proportionality (k) is then calculated as
k = Scoop of ice cream/Cup of milk
So, we have
k = 5/2.5
Evaluate
k = 2
The equation of the relationshipIn (a), we have:
k = 2
A proportional relationship is represented as
s = km
Where
s = scoop of ice cream
m = cup of milk
So, we have
s = 2m
How to graph the relationshipIn (b), we have
s = 2m
To graph the relationship, we start by generating a table of values and then plot the points
Number of cups for 18 scoopsRecall that
s = 2m
So, we have
18 = 2m
Divide by 2
m = 9
Hence, the number of cups is 9
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How do you select sample size using simple random sampling?
Using the method of simple random sampling, The answer is we select sample before collecting data.
What do you mean by random sampling?Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, and reduces bias in the sampling process. In simple random sampling, a random sample is drawn from a larger population by using random number generators, tables of random numbers, or other methods that ensure that each member of the population has an equal chance of being selected.
What are samples?A sample is a portion or a subset of a population that is selected for the purpose of studying characteristics of the population. The sample is used to make inferences or conclusions about the population from which it was drawn. The sample is usually smaller in size than the population, and it is selected through a process called sampling. The process of sampling is used to select a sample that is representative of the population, meaning that the sample has similar characteristics as the population.
In simple random sampling, the sample size is determined before collecting data. There are several ways to determine the sample size, but one common method is to use a sample size calculation formula, such as: n = (z^2 * p * (1-p)) / e^2
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would you earn a greater total commission with Sara or Ravi?
The current ratio of Sara's sales to Ravi's sales is 100:2
Sara's pieces of art sell for $25 each your commission is 60%
Ravi's pieces of art sell for $2000 each your commission is 25%
as a professional artist assume you will make pieces of art that sell at the same sales ratio as the artist with whom you apprenticed. would you earn more as a professional after apprenticed for Sara or Ravi?
As a professional artist and judging from the current sales ratio and commission rates, one would earn more if one apprenticed for Sara.
Which of Sara and Ravi guarantees more earnings after apprenticeship?As evident in the task content; the current ratio of Sara's sales to Ravi's sale is 100 : 2.
Since Sara's pieces of art sell for $25, the total earnings is; 25 × 100 = $2500.
Hence, since the commission rate is 60%, it follows that the commission earned on sales of Sara's pieces is; 60% of 2500 = 0.6 × 2500 = $1500.
Also, since Ravi's pieces each cost $2000, it follows that for 2 pieces, the total earnings is; 2 × $2000 = $4,000.
Hence, since the commission rate for Ravi's pieces is 25%, the commission earned is therefore; 25% of 4000 = 0.25 × 4000 = $1000.
On this note, one would earn more if one apprenticed for Sara.
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2-18. Frank wonders whether corresponding angles always have equal measure. For parts () through (d) below, use tracing paper to decide if corresponding angles have the same measure. Then determine if you have enough information to find the measures of x and y. If you do, find the angle measures and state the relationship .
The angles and their relationships are -
a) ∠x = 135° (corresponding angles), ∠y = 135° (vertical angles)
b) ∠y = 45° (liner pair angles), ∠x (not enough information provided)
c) ∠x = 135° (corresponding angles), ∠y = 45° (liner pair angles)
d) ∠x = 45° (liner pair angles), ∠y (not enough information provided)
What is angle pair relationship?
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles
Supplementary Angles
Adjacent Angles
Linear Pair
Vertical Angles
a) In the first diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Similarly, ∠y = ∠x as they both are vertically opposite angles to each other.
So, ∠y = 135°.
b) In the second diagram -
∠y + ∠a =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠a
∠y = 180° - 135°
∠y = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
c) In the third diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Now, ∠y + ∠x =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠x
∠y = 180° - 135°
∠y = 45°.
d) In the fourth diagram -
∠x + ∠a =180° as they are both form a linear pair of angles.
So, ∠x = 180° - ∠a
∠x = 180° - 135°
∠x = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
Therefore, all the angles are and their relationships are found.
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What is a function of the form f/x LOGB X?
The function form of the given function would be [tex]f(x)=log_b(x)[/tex].
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given function is f(x) = logbx.
So the function form would be the function of x is equal to the logarithmic of x having base b.
so this can be written as
[tex]f(x)=log_b(x)[/tex]
Hence, the function form of the given function would be [tex]f(x)=log_b(x)[/tex].
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The function form of the given function would be [tex]f(x)=log_b(x)[/tex].
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given function is f(x) = logbx.
So the function form would be the function of x is equal to the logarithmic of x having base b.
so this can be written as
[tex]f(x)=log_b(x)[/tex]
Hence, the function form of the given function would be [tex]f(x)=log_b(x)[/tex].
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LESSON 12-1 Properties of Translations Practice and Problem Solving : A / B
We found that translations have the following three properties: line segments are taken to line segments of the same length;
angles are taken to angles of the same measure; and. lines are taken to lines and parallel lines are taken to parallel lines.
Properties of Translations
- Distance Where the lengths of the segments stay the same.
-Angle Measures These remain the same.
-Parallelism Where the parallel lines will stay parallel.
-Collinearity The points will stay on the same line.
-Orientation The order of the letters will stay the same.
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The vertices of triangle ABC have coordinates A(-2,-1) B(10,-1) and C(4,4). Determine and state the area of triangle ABC
What does it mean when a problem is undecidable?
An undecidable problem is one that should have a "yes" or "no" answer but has no algorithm that can correctly answer on all inputs.
What is undecidable problem?According to the theories of computational complexity and computability, an undecidable problem is one for which it has been demonstrated that it is impossible to create an algorithm that always yields the right yes-or-no response. As an illustration, it can be shown that there is no algorithm that can accurately predict whether arbitrary programmes will eventually halt when run.
Any question that is simply yes or no on an infinite list of inputs is a decision problem. It is customary to define the decision problem as the set of inputs for which the problem returns yes because of this. Natural numbers as well as values of other kinds, such as strings in a formal language, can be used as these inputs.
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The steepness of a ramp is graphed using the points (0,3) and (36,0). The steepness of a second ramp is represented by the function g(x)= -1/4x+2. What is the slope of the ramp?
The slope of a line is a measure of its steepness and can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the points (0,3) and (36,0) represent the coordinates of two points on the ramp. To find the slope of the ramp, we can plug these values into the formula:
slope = (0 - 3) / (36 - 0) = -3 / 36 = -1/12
The slope of the ramp is -1/12. This indicates that the ramp is relatively flat, as a negative slope means that the line is sloping downward.
To find the slope of the second ramp, represented by the function g(x) = -1/4x + 2, we can take the derivative of the function. The derivative of a function represents the slope of the function at any given point, and it is calculated using the formula:
derivative = f(x) = -1/4
The derivative of the function g(x) is a constant value of -1/4, which means that the slope of the second ramp is also -1/4. This is a steeper slope than the first ramp, as the value of the derivative is larger in magnitude.
Write a system of equations to describe the situation below, solve usi
the blanks.
Parent volunteers at Salem High School are processing yearbook orde
an option to get the basic yearbook or a deluxe option, which includes
protective cover. In Mrs. Wu's class, 21 basic yearbooks and 6 deluxe
ordered, for a total of $2,025. The students in Mr. Boyer's class ordere
and 18 deluxe yearbooks, for a total of $2,763. How much does each
The basic yearbook costs $
and the deluxe yearbook costs $
Submit
Answer: $52.57 for each basic yearbook and $153.5 for each deluxe yearbook
Step-by-step explanation:
First, do Mr. Boyer's class to find out how much each deluxe yearbook is:
2,763 ÷ 18 = $153.5
Then do, Mrs. Wu's class: First, multiply 153.5 by the 6 deluxe yearbooks ordered;
153.5 x 6 = 921
After, subtract 921 from 2,025:
2,025 - 921 = 1104
The remaining $1104 is the total cost of the 21 basic yearbooks ordered. Divide the total cost by the number of yearbooks ordered to find the unit price:
1104 ÷ 21 = 52.5714285714
Round to the nearest hundredth: $52.57
Please give brainliest
What are the solutions to 3x 2 4 0 `?
The solution of the expression 3x² - 4 = 0 is x = ±2/√3.
The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation
Here we have the expression 3x² - 4 = 0.
Now, we have to solve this one by using the following steps:
First we have to add 4 to both sides of the equation, then we get the expression as,
=> 3x² = 4
Now, we have to Divide each term by 3 and simplify, then we get
=> x² = 4/3
Then we have to take the specified root of both sides of the equation to eliminate the exponent on the left side,
=> x = √4/3
When we simplify this one further, then we get
=> x = ±2/√3.
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Circle C is inscribed with 5 lines. Point C is at the center of the circle. 3 lines come out of point C and make points D, A, and B on the edge of the circle. Another line comes out of point C and goes past the edge to point E. Another line connects points D and A.
Which geometric figures are drawn on the diagram? Check all that apply.
Line segment C A
Ray A C
∠ABC
∠BCE is drawn, line segment CA is drawn, Ray CA is drawn, For Circle C is drawn, Ray BE is not drawn.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that Circle C is inscribed with 5 lines
Point C is at the center of the circle
3 lines come out of point C and make points D, A, and B on the edge of the circle.
Another line comes out of point C and goes past the edge to point E.
For ∠ABC
The geometric figure is not drawn.
For ∠BCE
The geometric figure is drawn.
For line segment CA
The geometric figure is drawn.
For Ray CA
The geometric figure is drawn.
For Circle C
The geometric figure is drawn.
For Ray BE
The geometric figure is not drawn.
For Line segment AE
The geometric figure is not drawn.
Hence, ∠BCE is drawn, line segment CA is drawn, Ray CA is drawn, For Circle C is drawn, Ray BE is not drawn.
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Manuel says 25 5/8 ft of fencing is enough for a rectangular flower bed that measures 9 7/8 ft by 15 3/4 feet is this correct explain
Manuel was incorrect, because the perimeter of a flower bed is [tex]51\frac{1}{4}[/tex] feet not [tex]25\frac{5}{8}[/tex] feet.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Given that, Manuel says [tex]25\frac{5}{8}[/tex] feet of fencing is enough for a rectangular flower bed that measures [tex]9\frac{7}{8}[/tex] feet by [tex]15\frac{3}{4}[/tex] feet
Here, perimeter =2([tex]9\frac{7}{8}[/tex] + [tex]15\frac{3}{4}[/tex]) feet
= 2(79/8 + 63/4)
= 2(79/8 + 126/8)
= 2(205/8)
= 410/8
= [tex]51\frac{1}{4}[/tex] feet
Manuel was incorrect, because the perimeter of a flower bed is [tex]51\frac{1}{4}[/tex] feet not [tex]25\frac{5}{8}[/tex] feet.
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How do you identify the solutions in solving linear inequalities in two variables *?
To identify the solutions in solving linear inequalities in two variables, you can first graph the equation on a coordinate plane. Then, you can use the boundary line to identify which regions of the plane satisfy the inequality.
Any points in the shaded regions will be solutions to the inequality. Additionally, you can use the boundary line to identify the points that are not solutions by finding the points that lie on the boundary line.
Example:
x + 2y ≥ 4
The graph of this inequality is a line with a slope of -2/1 and a y-intercept of 4/2. The line will be shaded on the side of the line containing the greater values, which in this case is the side containing the origin.
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