The general form of the equation for the given circle centered at O(0, 0) is B. x² + y² - 41 = 0.
What is Circle?A circle is a round, two-dimensional shape with all points on its boundary equidistant from its center.
Since the center of the circle is O(0,0), the equation of the circle will have the form x² + y² + ax + by + c = 0. To find the values of a, b, and c, we can use the fact that point B(4, 5) lies on the circle. Substituting the coordinates of B into the equation and simplifying, we get:
4² + 5² + a4 + b5 + c = 0
16 + 25 + 4a + 5b + c = 0
41 + 4a + 5b + c = 0
We now have one equation with three variables, so we need more information. Since the center of the circle is (0,0), we know that the distance from the center to any point on the circumference is equal to the radius of the circle. The distance between points (0,0) and (4,5) is the length of the line segment joining them, which can be found using the distance formula:
[tex]\sqrt{(4-0)\² + (5-0)\²} = \sqrt{(16+25) }= \sqrt{41}[/tex]
Therefore, the radius of the circle is √(41). We can use this fact to eliminate one of the variables in the equation we derived earlier. Since point (0,0) lies on the circle, we can substitute its coordinates into the equation to get:
41 + 0a + 0b + c = 0
c = -41
Now we can substitute this value of c back into the equation we derived earlier to get:
41 + 4a + 5b - 41 = 0
4a + 5b = 0
Finally, we have two equations with two variables, which we can solve to get:
a = -5/4
b = 4/5
Substituting these values into the equation of the circle, we get:
x² + y² - 5x/4 + 4y/5 - 41 = 0
Multiplying by 20 to eliminate fractions, we get:
20x² + 20y² - 25x + 16y - 820 = 0
Simplifying, we get:
x² + y² - 25/4x + 4/5y - 41 = 0
Which is equivalent to:
x² + y² - 41 = 0
So the answer is B. x²+ y² - 41 = 0.
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Graph the following functions and determine where F(x) = G(x). Select all that apply.
0.414
-2
-0.101
-7.89
1.586
4.414
The graph of the two functions is different from each other.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function.
In the function as the value of the independent variable varies the value of the dependent variable also varies.
When we plot the graph of the function [tex]f(x) = \dfrac{x + 2 }{x^2-4}[/tex] and the function g(x) = |(x + 2 )} - 6.
Both graphs are different in nature and shape from each other. The graph of both functions is attached with the answer below.
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A company that uses job order costing reports the following information. Overhead is applied at the rate of 60% of direct materials. The company has no beginning Work in Process or Finished Goods inventories. Jobs 1 and 3 are not finished by the end of March, and Job 2 is finished but not sold by the end of March. Determine the total dollar amount of Finished Goods Inventory at the end of March.
Answer: To determine the total dollar amount of Finished Goods Inventory at the end of March, we need to calculate the total cost of the jobs that have been completed during March and have been transferred to the Finished Goods Inventory.
From the information given, we know that the company has no beginning Work in Process or Finished Goods inventories, so all the costs incurred during March are related to the jobs started during the month.
Let's start by calculating the total cost of Job 2, which is finished but not sold by the end of March. We will then use this cost to calculate the total cost of the jobs that have been completed during March and transferred to the Finished Goods Inventory.
Job 2:
Direct materials: Rs. 10,000
Direct labor: Rs. 8,000
Overhead applied: 60% x Rs. 10,000 = Rs. 6,000
Total cost of Job 2: Rs. 24,000
Now, let's calculate the total cost of the jobs that have been completed during March:
Job 1:
Direct materials: Rs. 6,000
Direct labor: Rs. 4,000
Overhead applied: 60% x Rs. 6,000 = Rs. 3,600
Total cost of Job 1: Rs. 13,600
Job 3:
Direct materials: Rs. 8,000
Direct labor: Rs. 5,000
Overhead applied: 60% x Rs. 8,000 = Rs. 4,800
Total cost of Job 3: Rs. 17,800
Total cost of jobs completed during March: Rs. 13,600 + Rs. 17,800 = Rs. 31,400
Since the company has no beginning Finished Goods Inventory, the total cost of the jobs completed during March and transferred to the Finished Goods Inventory is equal to the total cost of the Finished Goods Inventory at the end of March.
Therefore, the total dollar amount of Finished Goods Inventory at the end of March is Rs. 31,400.
Step-by-step explanation:
Find the time it takes for $9,300 to double when invested at an annual interest rate of 20%, compounded continuously.
It takes apprοximately 3.5 years fοr an investment with an annual interest rate οf 20%, cοmpοunded cοntinuοusly, tο dοuble frοm $9,300 tο $18,600.
What is cοmpοund interest?Cοmpοund interest is a sοrt οf interest that is calculated using bοth the principal—the initial amοunt invested οr bοrrοwed—and the interest that has accrued οver time. In οther wοrds, the interest fοr the fοllοwing periοd is cοmputed οn the new, larger amοunt after the interest generated during each periοd has been added tο the principal.
Cοmpοund interest can be explained as interest οn interest. The principle grοws οver time at a rising rate as the interest generated in each periοd is added tο it. Because οf this, cοmpοund interest is an effective instrument fοr lοng-term investing and saving.
Fοr instance, if yοu put $1,000 intο an accοunt with a cοmpοund interest rate οf 5%, yοu will receive $50 in interest the first year. Yοur tοtal sum at the end οf the first year will be $1,050 (the initial $1,000 plus $50 in interest). Yοu will receive $52.50 in interest since in the secοnd year the interest is cοmputed οn $1,050 rather than $1,000. This will increase yοur οverall balance tο $1,102.50 by the cοnclusiοn οf the secοnd year, and sο οn fοr succeeding years.
In cοnclusiοn, cοmpοund interest can be a pοtent tοοl fοr lοng-term grοwth οf yοur savings οr investments, but it's critical tο cοmprehend hοw it wοrks and pick assets with cοmpetitive interest rates and lοw expenses.
Tο find the time it takes fοr an investment tο dοuble with cοntinuοus cοmpοunding, we can use the fοrmula:
[tex]t = ln(2) / (r \times ln(1 + r))[/tex]
where:
t is the time it takes fοr the investment to double
r is the annual interest rate as a decimal
In this case, the annual interest rate is 20%, or 0.20 in decimal fοrm. So,
we can plug in the values and sοlve for t:
[tex]t = ln(2) / (0.20 \times ln(1 + 0.20))\\t = 3.5 years[/tex]
Therefore, it takes apprοximately 3.5 years for an investment with an annual interest rate of 20%, compounded continuously, to dοuble from $9,300 tο $18,600.
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Cuanto Producent 300.00 al 12%
Answer
La respuesta es 264.00
Adam is a team leader for a packing and moving company. Today, his team packed 72 boxes in 4 hours. What was his team's packing rate, in boxes per hour?
A.
20 boxes per hour
B.
18 boxes per hour
C.
21 boxes per hour
D.
17 boxes per hour
Answer: 18 boxes per hour
Step-by-step explanation:
72 divided by 4 is 18
On a small town map, where each unit represents 2 miles, the football field is located at (1,−1), the elementary school is located at (1,2), the middle school is located at (−4,2), and the high school is located at (−4,−1). Which statement is true?
Answer: We can plot the given points on a coordinate plane where each unit represents 2 miles:
y
| E(1,2)
|
| M(-4,2)
|
|
|H(-4,-1) F(1,-1)
|___________________
x
Now we can see that the distance between the football field (F) and the high school (H) is 5 units in the x direction and 1 unit in the y direction, which corresponds to a distance of 5 x 2 = 10 miles in the x direction and 1 x 2 = 2 miles in the y direction. Using the Pythagorean theorem, we can find the distance between the two points:
distance = sqrt((10)^2 + (2)^2)
= sqrt(104)
So the distance between the football field and the high school is approximately 10.198 miles. Therefore, the statement that is true is:
"The distance between the football field and the high school is approximately 10.198 miles."
Step-by-step explanation:
How do I solve
4(x-1) =2(6-2x)
Answer:
x=2
Step-by-step explanation:
Look at the picture and solve it guys!!!!!! Right answers only!
Answer:x=7,1
Step-by-step explanation:
What are the equations of the tangent lines to circle x ^ 2 + y ^ 2 = 4x + 1 that are perpendicular to line 2x + y = 10
Answer:
y = (3a + sqrt(11a^2 - 8b + 41)) / 2
y = (3a - sqrt(11a^2 - 8b + 41)) / 2
Step-by-step explanation:
To find the tangent lines that are perpendicular to the given line, we need to find the slope of the given line and then find the negative reciprocal of that slope. The negative reciprocal will be the slope of the tangent lines we are looking for.
The given line is 2x + y = 10, which can be rewritten as y = -2x + 10. Therefore, the slope of the given line is -2.
The center of the circle can be found by completing the square of the x and y terms. We have:
x^2 - 4x + y^2 = 1
(x - 2)^2 + y^2 = 5
Therefore, the center of the circle is (2,0), and the radius is sqrt(5).
Now, we can find the equation of the tangent lines. Let (a,b) be the point where the tangent line intersects the circle. Since the tangent line is perpendicular to the given line, its slope is the negative reciprocal of -2, which is 1/2. Therefore, the equation of the tangent line passing through (a,b) is:
y - b = (1/2)(x - a)
To find the points of intersection of this line and the circle, we substitute y = -2x + 10 into the equation of the tangent line and solve for x:
(x - a)^2 + (-2x + 10 - b)^2 = 5
Expanding and simplifying this equation, we get:
5x^2 - 4ax + 4a^2 + 4bx - 40b + 84 = 0
This is a quadratic equation in x, so we can solve for x using the quadratic formula:
x = [4a ± sqrt(16a^2 - 4(5)(4a^2 + 4b - 84))] / 10
Simplifying this expression, we get:
x = [2a ± sqrt(11a^2 - 8b + 41)] / 5
Now we can substitute these values of x into the equation of the tangent line to find the corresponding values of y:
y = -2x + 10
y = -a + b + (1/2)(2a ± sqrt(11a^2 - 8b + 41))
This gives us two equations for the tangent lines passing through (a,b), one for each value of x. We can simplify these equations to get:
y = (3a ± sqrt(11a^2 - 8b + 41)) / 2
Therefore, the equations of the tangent lines that are perpendicular to the given line are:
y = (3a + sqrt(11a^2 - 8b + 41)) / 2
y = (3a - sqrt(11a^2 - 8b + 41)) / 2
where (a,b) is any point on the circle (x - 2)^2 + y^2 = 5.
Quantity reasonable question
1) In the first quantity reasoning, the next logical pattern that should follow if it is repeated is E.
2) In the second quantity reasoning, the next logical pattern is D.
What is a logical pattern?A logical pattern is logical sequence of numbers, words, objects, pictures, etc., that follows a related sequence.
Logical patterns are used on quantitative reasoning to understand and communicate mathematical principles.
We can identify three types of logical pattern as follows:
Shape PatternLetter PatternNumber Pattern.The arrow pointing down without an enclosed circle follows the arrow point up with an enclosed circle in the bigger circle.
Similarly, for the second question, the inner circle at the angles matches the pattern with Option D.
Thus, for the first question, the next logical pattern is Option E while it is Option D for question two.
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Identify the relationship between the angles
Answer:
∠x and ∠y are congruent or equal
Step-by-step explanation:
∠x and ∠y are congruent or equal because their vertical angles are alternate interior angles.
OR vertical angle of ∠x is congruent with ∠y because they are both corresponding angles
OR vertical angle of ∠y is congruent with ∠x because they are both corresponding angles
PLEASE ANSWER! (+35 points) Solve for y, solution can not be negative
1.y=6 2. y=3 3. y=9/5 4.y=3/2 5. y=3 6. y= 3
Tammy's home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3.5% every year. If Tammy sells her home after thirteen years, how much profit will she have made, to the nearest hundred dollars?
In linear equation, Tammy will have made a profit of $103,768.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
Let x be the number of years after Tammy purchased her home.
We have been given that Tammy’s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3.5% every year.
We can see that value of house will increase exponentially as the value of increases 3.5% per year.
Since an exponential function is in form
y = a * bˣ
a = Initial value,
b = For growth b is in form (1+r) where r represents growth rate in decimal form.
Let us convert our given growth rate in decimal form.
3.5% = 0.035
Upon substituting our values in exponential form of function we will get the value (y) of Tammy's home after x years as
y = 184000(1 + 0.035)ˣ
y = 184000(1.035)ˣ
Therefore, the function y = 184000(1.035)ˣ represents value of Tammy's home after x years of purchase.
Let us find the value of home after 13 years by substituting x=13 in our function.
y = 184000(1.035)¹³
y = 184000 * 1.56395606
y = 287767.915
Let us subtract cost of the home from the value of home after 13 years to find the amount of profit.
The amount of profit, if tammy sells her home after 13 years = 287767.915 - 184000
The amount of profit, if tammy sells her home after 13 years = 103767.915 - 103,768
Therefore, Tammy will have made a profit of $103,768.
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i need the answers asap, please help me.
The polynomial expressions when simplified are 2g² + 3g - 1, 24c⁵d - 8cd² + 12c³d³ + 4cd, (m² + 5m + 4) ÷ (m + 1) = m + 4.
Others are added below
Simplifying the polynomial expressionsExpression 1
The expression is given as
(14g³ + 21g² - 7g)/7g
Divide the numerator by the denominator
So, we have
2g² + 3g - 1
Expression 2
Here, we have
24c⁵d - 8cd² + 12c³d³ + 4cd
The expression is in its simplified state
Simplifying by long divisonExpression 3
Given that
(m² + 5m + 4) ÷ (m + 1)
By long division, we have
m + 4
m + 1 | m² + 5m + 4
m² + m
-------------------------------------
4m + 4
4m + 4
-------------------------------------
0
This means that (m² + 5m + 4) ÷ (m + 1) = m + 4
Expression 4
Given that
(c² - 2c - 15)(c + 3)⁻¹
By long division, we have
c - 5
c + 3 | c² - 2c - 15
c² + 3c
-------------------------------------
-5c - 15
-5c - 15
-------------------------------------
0
This means that (c² - 2c - 15)(c + 3)⁻¹ = c - 5
Simplifying by synthetic divisionExpression 5
Here, we have
(2y² + 10y + 17) ÷ (y + 3)
By synthetic division, we have
-3 | 2 10 17
|__-6_-12______
2 4 5
This means that (2y² + 10y + 17) ÷ (y + 3) = 2y + 4 + 5/(y + 3)
Expression 6
Here, we have
(2p³ - p² - 10p + 8)(p - 2)⁻¹
By synthetic division, we have
2 | 2 -1 -10 8
|___4__6__-8____
2 3 -4 0
This means that (2p³ - p² - 10p + 8)(p - 2)⁻¹ = 2p² + 2p - 4
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Does this represent a function yes no because
The given data does not belong to the function.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
A function is defined as a relation between a set of inputs having one output each.
In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Every function has a domain and codomain or range.
Since in the given data,
at the different values of y, the value of x is the same. that is the first violation of the rule of function.
Therefore, the given data does not belong to the function.
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If 6+2=8, does 6+2+3=8+3? Why or not
Answer: Yes
Step-by-step explanation:
Well, since 6+2, 6+2+3 does equal 8 plus 3 because 6+2+3 is basically saying 8+3, but just broken up.
need help with problem 7
The 90% confidence interval for the difference between the two sample proportions are -0.078 <p₁ - p₂ < 0.003.
How to find confidence interval?To find the 90% confidence interval for the difference between two sample proportions, use the formula:
CI = (p₁ - p₂) ± z√((p₁(1-p₁)/n₁) + (p₂(1-p₂)/n₂))
where:
p₁ = number of successes in sample 1 / sample size 1
p₂ = number of successes in sample 2 / sample size 2
n₁ = sample size 1
n₂ = sample size 2
z = z-score for the desired confidence level (90% in this case)
Using the given values:
p₁ = 780/820 = 0.9512
p₂ = 795/804 = 0.9888
n₁ = 820
n₂ = 804
z = 1.645 (from standard normal distribution table for 90% confidence level)
Plugging in the values:
CI = (0.9512 - 0.9888) ± 1.645√((0.9512(1-0.9512)/820) + (0.9888(1-0.9888)/804))
= (-0.0376) ± 0.0403
= (-0.078, 0.003)
Therefore, the 90% confidence interval for the difference between the two sample proportions is (-0.078, 0.003).
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Select all the expressions that represent the following:
Mary swam
3/4 miles each day for 8 days
Answer:
I'm assuming the question is how many miles in total did mary swim.
if this is the case then we just multiply the number of days by the number of miles per day.
Hence,
3/4 × 8 = 6
so 6 miles in total.
make sure to ask if you need any further help
Step-by-step explanation:
please help me
M is the set of positive three-digit numbers where the first digit is greater than the second by 4 and the third digit is greater than the first by 2
Answer:
A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
Step-by-step explanation:
A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
In Mathematics, a set is a group of unique elements. Here, the set M consists of three-digit numbers where the first digit is greater than the second by 4, and the third digit is greater than the first by 2. Examples of such numbers could be 530, 641, 752, etc.
Explanation:The subject of the question is Mathematics, more specifically, the definition and properties of a set. In Mathematics, a set is a collection of distinct elements. A three-digit number has three digits: the first, second and third digit. In this case we need numbers where the first digit is greater than the second by 4, and the third digit is greater than the first by 2.
For example, let's take 501. Here, 5 is the first digit, 0 is the second and 1 is the third. The first digit is greater than the second by 5, not 4, therefore 501 does not belong to the set. But if we consider 640, here 6 is the first digit, 4 is the second and 0 is the third. The first digit is greater than the second by 2 and the third digit is less than the first by 6. So 640 belongs to the set. Therefore, our set M can include numbers like 530, 641, 752, and so on.
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set of numbers on a number line: All whole numbers less than 5 set of numbers on a number line: All whole numbers less than or equal to 7 hether the following
The inequality of the set on the number line is x ≤ 7
How to determine the inequality of the number lineThe set of numbers on a number line that consists of all whole numbers less than 5 can be represented by the inequality:
x < 5
This inequality means that any number x that is less than 5 is included in the set.
The set of numbers on a number line that consists of all whole numbers less than or equal to 7 can be represented by the inequality:
x ≤ 7
This inequality means that any number x that is less than or equal to 7 is included in the set.
So, we have
x < 5 and x ≤ 7
Combine the inequalites
x ≤ 7
Hence, the set are numbers less than or equal to 7
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What would help me find the x?
Answer:
C
Step-by-step explanation:
I think its C because where x is you see those three lines, those mean congruent so in that triangle whatever x is the other two angles are the same thing. If I had to guess what x is, its prob 60.
Brainliest for correct answer
Answer:
D 40 square feet
Step-by-step explanation:
2×8=16
16÷2=8 is area of one triangle
8+8=16 is area of both triangles
8×3=24 is area of rectangle
24+16=40 square feet
. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
reduce 90/135 plss answer
Answer: 2 over 3
Step-by-step explanation: The GCF of 90 and 135 is 45. So,
divide 90 by 45 = 2
divide 135 by 45 = 3
Answer: 2/3
Two cars travel at the same speed to different destinations. Car A reaches its destination in 25 minutes. Car B reaches its destination in 35 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel?
Step-by-step explanation:
speed = distance / time
distance = speed × time
they both have the same speed.
distanceB = distanceA + 4
so,
distanceA = speed × 25 min
distanceB = distanceA + 4 = speed × 35 min
distanceA = speed × 35 - 4
both distanceA expressions must be equal :
speed × 25 = speed × 35 - 4
subtract 25speed from both sides
0 = speed × 10 - 4
add 4 to both sides
4 = speed×10 min
divide both sides by 10 min
4 miles / 10 min = speed
to get the usual miles per hour, we need to multiply numerator and denominator by the same number, so that the denominator is 1 hour = 60 minutes.
as we cab see, we need to multiply by 6/6 :
4/10 × 6/6 = 24/60 = 24 miles per hour.
Help with math problems
The inverse function of the given is y^-1=x/2 -4.
What is inverse function?The domain of the original function becomes the range of the inverse function, and the range of the given function becomes the domain of the inverse function. The inverse function is denoted by the notation f-1 in relation to the original function f. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function. Only when f is both a one-one and an onto function does it have an inverse, indicated by the symbol f-1. Keep in mind that f-1 is NOT f's inverse. The domain value of x is given by combining the function f and the reciprocal function f-1.
Here the given function is,
=> y = 2x+8
Now interchange x and y then
=> x=2y+8
Now simplify the expression with respect to y then,
=> x-8=2y
=> y =x/2 -4
=>y^-1=x/2 -4
Hence inverse function is, y^-1=x/2 -4
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What is the total price of the 50-inch Panasonic Plasma TV?
The total price of the 50-inch Panasonic Plasma TV is $687.44.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Given that, 50-65 inch TV's $150 rebate and delivery charge is $35.
50 inch Panasonic Plasma TV costs $734.95
Rebate is $150
So, cost of TV is 734.95-150
= 584.95
Cost of TV including delivery charge
= 584.95-35
= 549.95
Here, tax is 25%
So, cost of TV including tax
= 549.95+25% of 549.95
= 549.95+25/100 ×549.95
= 549.95+0.25×549.95
= 687.4375
Therefore, the total price of the 50-inch Panasonic Plasma TV is $687.44.
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EASY MATH POINTS! Answer from the screenshot :)
Answer:
The last one
Step-by-step explanation:
First one is a parabola
Second one is an absolute value
Third one is a cubic
Fourth one is a linear
y=-4x-29
y=-x-11
solve system of equation by substitution .
Answer:
(-6, -5)
(Don't forget to give me brainiest)
Step-by-step explanation:
1. Make the two equations equal to each other: -4x - 29 = -x - 11
2. Add "X" on both sides: -4x - 29 = -x - 11
+x +x
= -3x - 29 = -11
3. Add both sides by "29": -3x - 29 = -11
+29 +29
= -3x = 18
4. Divide both sides by "-3" to isolate "X": -3x = 18
-3 -3
x = -6
5. Plug in "-6" to "X" on first equation: y = -4(-6)-29
y = 24 - 29
y = -5
6. Solution is: (-6, -5)
A sofa regularly sells for $570. The sale price is $541.50. Find the percent decrease of the sale price from the regular price.
Answer:
5%
Step-by-step explanation:
So how I figured this out was I subtracted 570 and 541.50 to find how much of a difference there was. I got 28.50 so now I know thats how much the sale took off. I'm sure there was a better way of figuring out this next part but this is how I did it, I took 570 and multiplied it by 0.10 to see what that would be. It ended up being 57 and thats not 28.50 so I multiplied 570 by 0.05 and ended up with 28.50. You coulda also divided the 57 by two to figure out is 0.05 which equals 5%.