The total tax due for a married couple who have a combined income of $110,000 is $16,079
How to determine the total tax due for a married couple who have a combined income of 110,000From the question, we have the following parameters that can be used in our computation:
Income = $110,000
Also, we have the table of values
From the tax table, we have the category of tax to be paid by the couple to be
Tax = 8907 + 22% * excess of 77400
So, we have
Tax = 8907 + 22% * (110,000 - 77400)
Evaluate
Tax = 16079
Hence, the tax amount is $16,079
Read more about income tax at
https://brainly.com/question/26316390
#SPJ1
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
[tex]\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}[/tex]
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Uncle Joe made chocolate chip cookies. Michael ate 50% right away. Robert ate 50% of what was left. fourteen cookies remain. How many cookies did Uncle Joe make?
Answer:
50% ate uncle joe and 50% ate robert so, uncle joe make 14 cookies
Answer:
1. Michael ate 50% of the cookies, so the remaining cookies are 50% of the total. Let's denote the total number of cookies as T. So, after Michael ate his share, 0.5 x T cookies remained.
2. Robert then ate 50% of what was left, leaving only 50% of the cookies that were left after Michael ate. So, after Robert ate his share, 0.5 x 0.5 x T = 0.25 x T cookies remained.
3. We know that 14 cookies remained after Robert ate his share.
So, we can set up the equation 0.25 x T = 14 and solve for T:
T = 14/0.25 = 56
So, Uncle Joe made 56 chocolate chip cookies.
Step-by-step explanation:
Hope it helps!!!
2. In a complete paragraph, pick a scenario where concepts from this course would be used - it could be in you
or working in a business, etc.
Choose at least 2-3 concepts to include, explain your scenario, how these concepts apply, and provide a wa
Use the following format:
Topic Sentence: 1 concise sentence describing a scenario where concepts from this course could be used.
Supporting Detail: 1-2 sentences explaining how 1 concept from the class can be applied to the scenario.
Worked Example: Show a worked example for the concept described above.
Supporting Detail: 1-2 sentences explaining how 1 concept from the class can be applied to the scenario.
Worked Example: Show a worked example for the concept described above.
Conclusion: 1-2 sentences describing how applying the concepts in this course to a real-life situation helps
Write your response using your own words and do not use any other sources outside of this course
Topic Sentence: In a business setting, concepts from this course can be applied when optimizing customer service operations and improving customer satisfaction.
The Supporting DetailsSupporting Detail: One concept from the course that can be applied is the use of queuing theory to manage customer wait times and reduce service bottlenecks. By analyzing arrival rates, service rates, and queue lengths, businesses can optimize staffing levels and allocate resources efficiently.
Worked Example: One practical application of queuing theory is in call centers. With the aid of this theory, the center can analyze the number of customer service reps required in different periods of the day. The objective is to keep waiting times at their lowest and deliver timely service to customers.
Supporting Detail: Another concept that can be applied is the concept of customer lifetime value (CLV). By understanding CLV, businesses can identify their most valuable customers, prioritize their needs, and tailor personalized marketing strategies to enhance customer retention.
Worked Example: An e-commerce business may use information on customer buying patterns, typical order amounts, and the rate of customer loss to determine the overall lifetime value of a customer. By utilizing this data, the organization has the opportunity to execute tailored loyalty initiatives and customized suggestions, ultimately enhancing customer contentment and optimizing overall revenue for the long haul.
Conclusion:
The application of course concepts in a business environment can result in better customer service, shorter wait times, higher customer approval, and increased customer allegiance, thereby fueling the expansion and profitability of a business.
Read more about queuing theory here:
https://brainly.com/question/16951478
#SPJ1
Please help! I need to get this done by midnight
The number of students taking all three languages would be 1 student. The number of students taking none of the languages are 32.
How to find the number of students ?The total number of students taking each language is given so the number of people taking these languages are:
15 + 14 - X + X = 30
X = 1
So, there is 1 student taking all three languages.
For the students taking none of these languages:
Total students - students taking at least one language = students taking none of these languages.
= 100 (total students) - (53 ( taking only one language ) + 14 ( taking Arabic and Bulgarian ) + X (taking all three languages))
= 100 - 53 - 14 - 1
= 32 students
Find out more on students at https://brainly.com/question/14212677
#SPJ1
Could someone explain how to solve this?
Answer:
Step-by-step explanation:
Can someone answer this please
Answer: N= 12
Step-by-step explanation: if you follow PEMDAS, you take (4^3)^4 and multiply 3*4 which is 12.
Because the base of 4^12=4^n is the same you leave it alone and N is equal to 12
Answer:
Hi
Please mark brainliest ❣️
Thanks
if f(x)=x+2/x^2-9 and g(x)=11/x^2+3x
A. find f(x)+g(x)
B. list all of the excluded values
C. classify each type of discontinuty
To receive credit, this must be done by Algebraic methods, not graphing
The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
A. To find f(x) + g(x), we add the two functions together:
f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)
To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:
f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]
Simplifying the numerator:
f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]
Combining like terms:
f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]
B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:
(x^2 - 9) = 0 --> x = -3, 3
(x^2 + 3x) = 0 --> x = 0, -3
So, the excluded values are x = -3, 0, and 3.
C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.
At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.
At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.
Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
For more questions on vertical .
https://brainly.com/question/30195815
#SPJ8
Can someone please help me wit this?
Answer:
6.6
Step-by-step explanation:
I’ve done this before. The original answer I did was 6.63 but it says round to the nearest tenth so yep…
33. It's 2 years since I was last in Rome. ⇒ I haven't 34. I saw Tom last on his wedding day. ⇒ I haven't 35. I last ate raw fish when I was in Japan. ⇒ I haven't 36. It's years since Mary last spoke French. ⇒ Mary hasn't 37. It's ten weeks since since I last had a good night sleep. I haven't 38. He last paid taxes in 1970. He hasn't last taxes 39. I last ate meat 5 years ago. ⇒ I haven't since 1970 40. It's 3 months since since the windows were cleaned. The windows haven't 41. It's years since I took photographs.
34. I haven't seen Tom since his wedding day.
36. Mary hasn't spoken French in years.
37. I haven't had a good night's sleep in ten weeks.
38. He hasn't paid taxes since 1970.
40. The windows haven't been cleaned for 3 months.
41. It's been years since I took photographs.
What is a perfect tense?The perfect tense is a grammatical construction used to express actions that are completed or have happened before the present moment. It indicates that an action was performed and finished in the past but has relevance or impact on the present.
There are three main forms of the perfect tense: present perfect, past perfect, and future perfect.
1. Present Perfect Tense: This tense is used to describe an action or event that started in the past and has a connection to the present. It emphasizes the result or completion of the action.
2. Past Perfect Tense: This tense is used to describe an action or event that occurred before another action or a specific point in the past. It expresses an action completed before a specified time in the past.
3. Future Perfect Tense: This tense is used to describe an action that will be completed before a specified time or point in the future.
Each form of the perfect tense can be used with different time references to indicate the relationship between the completed action and the present or other points in time.
learn more about perfect tense: https://brainly.com/question/28277338
#SPJ1
(iv) MP= Rs. 26600, Discount-10%
The discounted price of the item would be Rs. 23,940.
To calculate the discounted price of an item, you can use the following formula:
Discounted Price = Original Price - (Original Price * Discount Percentage)
Given that the original price (MP) is Rs. 26,600 and the discount is 10%, we can calculate the discounted price as follows:
Discounted Price = Rs. 26,600 - (Rs. 26,600 x 0.10)
Discounted Price = Rs. 26,600 - Rs. 2,660
Discounted Price = Rs. 23,940
Therefore, with a 10% discount, the discounted price of the item would be Rs. 23,940.
Learn more about Discount Percent here:
https://brainly.com/question/31601724
#SPJ1
a) What fraction of an hour is 40 minutes, in its simplest b) I sleep 8 hours a night. What fraction of a day is this? c) How many hours is of a day? How many hours is 1 5 pond of her n
a) The value of fraction is,
⇒ 2 / 3
b) The value of fraction is,
⇒ 1 / 3
c) There are 24 hours in a day.
Now, We can simplify all the fraction as,
a) To find fraction of an hour is 40 minutes,
Since, 1 hour = 60 minutes
Hence,
⇒ 40 / 60
⇒ 4 / 6
⇒ 2 / 3
b) Since, 1 day = 24 hours
Hence, we get;
⇒ 8 / 24
⇒ 1 / 3
c) We know that,
⇒ 1 day = 24 hours
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ1
help pleaseee bestanswer will get brainly
The central angle of the given circle is seen as: ∠GQH
How to identify the central angle?A central angle of a circle is defined as an angle that exists between two radii with the vertex at the center. The central angle of an arc is also defined as the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
We are given the arc name as Arc GEH.
From the definition above, it is very clear that the central angle will be ∠GQH because it includes the two radii with the vertex at the center.
Thus, we conclude that the correct central angle from the given arc is stated as ∠GQH
Read more about Central Angle at: https://brainly.com/question/29545058
#SPJ1
What is the temperature in °C? Hint: (°F -32) ÷ 1.8 °C or °F= 1.8 °C
+32
Converting the temperature from Celsius to Fahrenheit:
Subtract the given temperature by 32 and divide it by 1.8°C.
°C = (F - 32) / 1.8°C, or use the equation °F= 1.8 °C+32
(°F-32) / 1.8°C
a) The given temperature is 60°F
substitute the given values in the above equation:
(60 - 32) / 1.8
28 / 1.8
= 15.5555 approx 16°C
60°F = 16°C
b) The given temperature is 10°F
°C = (F - 32) / 1.8°C
substitute the given values in the above equation:
(10 -32) / 1.8
-22 / 1.8
-12.222 approx -12°C
10°F = -12°C
correct question:
What is the temperature in °C, if the temperature is
a) 60F
b) 10F
To know more about temperature conversions:
https://brainly.com/question/23419049
you take a loan out to finance $175,000 on a house. if the rate is 3% and compounds continuously, how much will the loan cost after 30 years?
Answer:approximately $396,849.46 after 30 years with continuous compounding.
Step-by-step explanation:
To calculate the cost of the loan after 30 years with continuous compounding, we can use the formula for continuous compound interest:
A = P * e^(rt)
Where:
A = the total amount after interest
P = the principal amount (loan amount)
e = Euler's number, approximately 2.71828
r = interest rate per period
t = time in years
Given:
Principal amount (loan amount), P = $175,000
Interest rate, r = 3% = 0.03 (as a decimal)
Time, t = 30 years
Using the formula, we can calculate the total amount (A):
A = $175,000 * e^(0.03 * 30)
Now, let's calculate the cost of the loan after 30 years:
A = $175,000 * 2.71828^(0.03 * 30)
Using a calculator or software, we find:
A ≈ $396,849.46
Therefore, the loan will cost approximately $396,849.46 after 30 years with continuous compounding.
factor completely using distributive law 25y-15z
Answer:
5(5y - 3z)
Step-by-step explanation:
25y - 15z ← factor out common factor of 5 from each term
= 5(5y - 3z)
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 28%. You would like to be 98% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required?
Please round your z* value to 3 decimal places to use in your calculation.
n =
The required sample size to estimate the population proportion with 98% confidence and a margin of error of 1.5% is approximately 4,847.60.
How to calculate the sample size required to estimate a population proportion with a certain level of confidence?To find the sample size required to estimate a population proportion with a 98% level of confidence, we will use the formula:
n = (z² * p * q) / E²
where:
n = sample size
z = z-value associated with the desired confidence level
p = population proportion - estimated
q = 1 - p (complement of the estimated proportion)
E = desired margin of error
We, first of all, will calculate the required sample size:
Given:
z = z-value corresponding to a 98% confidence level
E = 1.5% = 0.015
p = 28% = 0.28
q = 1 - p = 1 - 0.28 = 0.72
Then, we use a standard normal distribution table or a calculator to find the z-value. For a 98% confidence level, the z-value is approximately 2.326.
Putting the values into the formula:
n = (2.326² * 0.28 * 0.72) / 0.015²
n = (5.410 * 0.2016) / 0.000225
n≈ 1.091/0.000225
n ≈ 4,847.60
Hence, to estimate the population proportion with a 98% confidence level and a margin of error of 1.5%, a sample size of approx. 4,848.60 is required.
Learn more about population proportion at brainly.com/question/29516589
#SPJ1
which statement is true of this function
The correct statement is:
C. The function has a y-intercept at (0, -2).
Let's analyze each statement:
A. As the value of x increases, the value of f(x) moves toward a constant.
This statement is false.
The function f(x) = (1/5)ˣ - 2 is an exponential function with a base of 1/5. As x increases, the exponential term (1/5)ˣ becomes smaller and approaches zero, causing f(x) to approach -2.
However, it does not approach a constant value.
B. The domain of the function is (-2, ∞).
This statement is false.
The function f(x) = (1/5)ˣ - 2 is defined for all real numbers.
There are no restrictions on the domain, so the correct statement is that the domain is (-∞, ∞).
C. The function has a y-intercept at (0, -2).
This statement is true.
To find the y-intercept, we set x = 0 in the function and solve for f(x):
f(0) = (1/5)⁰ - 2
= 1 - 2
= -1
Therefore, the y-intercept of the function is (0, -2).
D. The function is increasing.
This statement is true.
An exponential function with a positive base, such as (1/5)ˣ, is always decreasing.
However, when we subtract 2 from the exponential term, it shifts the graph vertically downward by 2 units.
This transformation makes the function f(x) = (1/5)ˣ - 2 increasing.
So, the correct statement is:
C. The function has a y-intercept at (0, -2).
Learn more about exponential function click;
https://brainly.com/question/29287497
#SPJ1
Show that sin⁴x-cos⁴x/ sin²x-cos²x = 1
Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1.
Here, we have,
given that,
the LHS is:
sin⁴x-cos⁴x/ sin²x-cos²x
now, we know that,
sin²x+cos²x = 1
and, we know that,
a² - b² = (a+b) (a-b)
so, we get,
sin⁴x-cos⁴x/ sin²x-cos²x
= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x
=(sin²x+cos²x)
=1
= RHS
Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1
To learn more about trigonometric relations click :
brainly.com/question/14450671
#SPJ1
A shelf has different sizes of bottles of laundry detergent this line plot shows the number of cups of laundry detergent in each bottle Natalie buys a bottle of the size of laundry detergent that has 4 bottles on the shelf she uses 1/8 cup for each load of laundry she does how many loads of laundry can Natalie do with her bottle of laundry detergent
Using the division operation , Natalie can do 64 loads of laundry with her bottle of detergent.
From the line plot , the detergent with 4 bottles has 8 cups in it.
Fraction of cup used per laundry = 1/8
Total cups of detergent in bottle = 8
Number of laundry Natalie can do :
(Total cups of detergent in bottle / Fraction of cup used per laundry )
Number of loads of laundry that can be done :
= 8 / (1/8)
= 8 × 8/1
= 64
Therefore, Natalie can do 64 loads of laundry with her bottle of detergent.
Learn more on fraction:https://brainly.com/question/78672
#SPJ1
find the length represented by x for each pair of similar triangles 12in x 20in 15in 40in 25in
The length x in the similar triangles is given as follows:
x = 15 cm.
What are similar triangles?Two triangles are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The proportional relationship for the side lengths in this triangle is given as follows:
x/25 = 9/15 = 18/30
Hence the value of x is obtained as follows:
x/25 = 9/15
15x = 25 x 9
x = 25 x 9/15
x = 15 cm.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
enter the number that belongs in the green box
The value of the unknown side to the nearest hundredth is 6.78
What is cosine rule?Cosine rule states that; if a, b,c are the sides of a triangle and A,B,C are the opposite angles of the sides, then
c² = a² + b² -2ab CosC
Cosine rule is used when all the sides or two of the sides are given. The angle opposite to side c is angle C.
c² = 4² + 10² - 2(4)(10)cos 29
c² = 16 +100 - 80cos29
c² = 116 -69.97
c² = 46.03
c = √ 46.03
c = 6.78 ( nearest hundredth).
Therefore the value of c is 6.78
learn more about cosine rule from
https://brainly.com/question/23720007
#SPJ1
What is the remainder when the following polynomial division is performed? Place the answer in the proper location of the gird. Do not include parentheses in your answer.
The remainder of the polynomial division [tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}[/tex] is 2y²
How to determine the remainder of the polynomial divisionFrom the question, we have the following parameters that can be used in our computation:
[tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}[/tex]
When the numerator is expanded, we have
[tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1) + 2y^2}{y^3 + 1}[/tex]
Split the expanded expression
[tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1)}{y^3 + 1} + \frac{2y^2}{y^3 + 1}[/tex]
Evaluate
[tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = y - 1 + \frac{2y^2}{y^3 + 1}[/tex]
From the above, we have
Quotient = y - 1
Remainder = 2y²
Hence, the remainder of the polynomial division is 2y²
Read more about polynomial division at
https://brainly.com/question/7693326
#SPJ1
The figure below is a square. Find the length of side x in simplest radical form with
rational denominator.
Answer: [tex]x=2\sqrt{5}[/tex]
Step-by-step explanation:
Detailed explanation is attached below.
Linear equations graph
Step-by-step explanation:
PLot two pioints....connect the points
Use the y -intercept given y = -1 when x = 0 Plot that
when y = 0 x = 1/2 plot that
draw line through these points :
Answer:
Step-by-step explanation:
Factorise completely.
1.1) 2x + 4y - 6z
1.2) 10p6q²-4p³q2 + 2p*q*
1.3) (m+n)²-5p(m + n)
1.4) 4(7c-d)+a(d-7c)
The completely factorized forms are:
1.1) 2x + 4y - 6z (no further factorization)
[tex]1.2) 2pq(5p^5q - 2p^2 + 1)[/tex]
1.3) (m + n)(m + n - 5p)
1.4) 7c(4 - a) + d(-4 + a)
We have,
Let's factorize each expression completely:
1.1)
2x + 4y - 6z
There are no common factors among the terms, so we can't factorize it further.
1.2)
[tex]10p^6q^2 - 4p^3q^2 + 2pq[/tex]
The common factor among the terms is 2pq, so we can factor it out:
[tex]2pq (5p^5q - 2p^2 + 1)[/tex]
1.3)
(m + n)² - 5p(m + n)
Using the distributive property, we can expand the squared term:
(m + n)(m + n) - 5p(m + n)
Now we can factor out the common factor (m + n):
(m + n)(m + n - 5p)
1.4)
4(7c - d) + a(d - 7c)
Using the distributive property, we can expand the terms:
28c - 4d + ad - 7ac
Rearranging the terms:
(28c - 7ac) + (-4d + ad)
Factoring out common factors:
7c(4 - a) + d(-4 + a)
Thus,
The completely factorized forms are:
1.1) 2x + 4y - 6z (no further factorization)
[tex]1.2) 2pq(5p^5q - 2p^2 + 1)[/tex]
1.3) (m + n)(m + n - 5p)
1.4) 7c(4 - a) + d(-4 + a)
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
The graph shows a function of the form () = ab
.
Use the drop-down menus to complete the statements about the function, and then write an equation that represents this function.
Answer:
When [tex]x=0[/tex], the value of f(x) is 1.
Each time x increases by 1, f(x) is multiplied by 4.
Equation of function: [tex]f(x)=1\cdot 4^x[/tex]
Step-by-step explanation:
The detailed explanation is attached below.
What is the average of the following numbers? 2, 5,8,1
Answer: The average is a descriptive statistic that provides an idea of the central or typical value in a dataset
Step-by-step explanation:
The average of the numbers is 4
The given parameters are;
The numbers; 2, 5, 8, and 1
The required parameter
To find the average;
Solution:
The average is given by the sum of the data divided by the size or count of the data points
Therefore, the average of the given numbers is given as follows;
Average, x= 2+5+8+1/4=4
The average of the numbers, = 4
PLEASE HELP ASAP
The diagrams show a polygon and the image of the polygon after a transformation.
Use the diagrams to determine which statements are true. Select all statements that are true.
The correct statements regarding the transformations are given as follows:
Parallel lines will always be parallel after a reflection.Lines that are not parallel will never be parallel after a translation.What are transformations on the graph of a function?Examples of transformations are given as follows:
A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.
More can be learned about transformations in a figure at https://brainly.com/question/28687396
#SPJ1
How tall is the tree?
5ft
35°
-20ft-
[?]ft
Round to the nearest foot.
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
The nearest foot is 19
The points with coordinates (4,8), (2,10), and (5,7) all lie on the line 2x+2y=24
Since all three points satisfy the equation 2x + 2y = 24 when their coordinates are substituted, we can conclude that the points (4,8), (2,10), and (5,7) indeed lie on the line represented by the equation 2x + 2y = 24.
To determine if the points (4,8), (2,10), and (5,7) lie on the line 2x + 2y = 24, we can substitute the x and y values of each point into the equation and check if the equation holds true.
For the point (4,8):
2(4) + 2(8) = 8 + 16 = 24, which satisfies the equation.
For the point (2,10):
2(2) + 2(10) = 4 + 20 = 24, which also satisfies the equation.
For the point (5,7):
2(5) + 2(7) = 10 + 14 = 24, which satisfies the equation as well.
Since all three points satisfy the equation 2x + 2y = 24 when their coordinates are substituted, we can conclude that the points (4,8), (2,10), and (5,7) indeed lie on the line represented by the equation 2x + 2y = 24.
for such more question on coordinates
https://brainly.com/question/23907194
#SPJ8