Question 6: What are the vertex and range of y = |x - 2 + 1? *
Answer:
Step-by-step explanation:
The vertex of the equation y = |x - 2 + 1| is (2, 1). The range of the equation depends on the value of x. When x < 2, the equation becomes y = -x + 1, which gives us a line with a slope of -1 that intersects the y-axis at (0,1) and has a minimum value of 1. When x >= 2, the equation becomes y = x - 1, which gives us a line with a slope of 1 that intersects the y-axis at (0,-1) and has no minimum value. Therefore, the range of the equation y = |x - 2 + 1| is [1, infinity).
How to Solve this question ??
The coordinates of the fourth vertex of the parallelogram are (1, -3).
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Three vertices are located at these coordinates: (-1, 2), (1, 2), and (-1,-3).
we have three points in the coordinate plane, we can use the concept of vector addition to find the fourth point.
The vectors connecting the first and second points, and the first and third points can be determined as follows:
v₁ = (1,2) - (-1,2) = (2,0)
v₂ = (-1,-3) - (-1,2) = (0,-5)
The fourth point will be located at the vector sum of the first point and the vector formed by adding v₁ and v₂.
v₃ = v₁ + v₂ = (2,0) + (0,-5) = (2,-5)
So, the fourth point will be located at:
(-1,2) + (2,-5) = (1,-3)
Thus, the coordinates are (1, -3).
Learn more about parallelograms here:
brainly.com/question/11220936
#SPJ1
observations are drawn from a bell-shaped distribution with a mean of 110 and a standard deviation of 4. a. approximately what percentage of the observations fall between 98 and 122?
The empirical rule tells us that for a normal distribution with mean μ and standard deviation σ, approximately 99.7% of the observations fall between 98 and 122.
Since the distribution is bell-shaped, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentage of observations that fall within certain ranges.
According to the empirical rule, for a normal distribution with mean μ and standard deviation σ:
About 68% of the observations fall within one standard deviation of the mean, i.e., between μ - σ and μ + σ.
About 95% of the observations fall within two standard deviations of the mean, i.e., between μ - 2σ and μ + 2σ.
About 99.7% of the observations fall within three standard deviations of the mean, i.e., between μ - 3σ and μ + 3σ.
In this case, the mean is 110 and the standard deviation is 4. Therefore:
About 68% of the observations fall between 110 - 4 = 106 and 110 + 4 = 114.
About 95% of the observations fall between 110 - 2(4) = 102 and 110 + 2(4) = 118.
About 99.7% of the observations fall between 110 - 3(4) = 98 and 110 + 3(4) = 122.
So approximately 99.7% of the observations fall between 98 and 122.
To learn more about empirical rule please click on below link
https://brainly.com/question/30513845
#SPJ4
what the hell is a plane
1. Find the area of the trapezoid. 14 mm 15 mm 36 mm A-270 mm² B- 375 mm² C- 750 mm² D- 3780 mm²
Answer:The answer is B
Step-by-step explanation:
The formal is A = a+b/2 time h
You just substitute the variables and get the answer
The advertised price of a plasma tv is n99990 including vat at 5%. If the government raises vat to 8%, calculate the new price of the tv. (to the nearest 10 naira)
The price of new Tv is 107,990 including VAT .The percentage increase in price of tv is 8% in rate.
The current price of the plasma TV including VAT at 5% is 99,990 naira.
If the government raises VAT to 8%, the new price of the TV including VAT can be calculated as follows:
New price = current price * (1 + new VAT rate)
New price = 99,990 * (1 + 0.08)
New price = 107,992.2
Rounding the new price to the nearest 10 naira gives: 107,990 naira.
The increase in price of the TV can be calculated as follows:
Price increase = new price - current price
Price increase = 107,990 - 99,990
Price increase = 8,000
The percentage increase in price of the TV can be calculated as follows:
Percentage increase = (price increase / current price) * 100%
Percentage increase = (8,000 / 99,990) * 100%
Percentage increase = 8.0%
Therefore, the new price of the TV including VAT at 8% is 107,990 naira, and there is a 8.0% increase in price.
To know more about VAT :
https://brainly.com/question/24216357
#SPJ4
____The given question is incomplete, the complete question is given below:
The advertised price of a plasma tv is 99,990 naira including vat at 5%. If the government raises vat to 8%,calculate the new price of the tv ,(to the nearest 10 naira) what is the percentage increase in price of the tv?
question 6
help me asap
The approximate length of arc CB is given as follows:
14.17 cm.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the multiplication of 2 by the number π = 3.14 and the radius r, as follows, hence the equation is given as follows:
C = 6.28r.
The radius for this problem is given as follows:
r = 7 cm.
The angle relative to arc CB is given as follows:
2 x 58º = 116º.
As an entire circumference has an angle of 360º, the approximate length of arc CB is obtained as follows:
116/360 x 6.28 x 7 = 14.17 cm.
More can be learned about the radius of a circle at brainly.com/question/24375372
#SPJ1
At the super market every can of tomatoes weighs at least 15ounces
The inequality representing the situation is w >= 15, where w represents the weight of a can of tomatoes and the inequality states that it must be greater than or equal to 15 ounces.
The inequality that represents the situation is w >= 15, where w represents the weight of a can of tomatoes. This inequality states that the weight of a can of tomatoes is greater than or equal to 15 ounces, meaning that every can of tomatoes weighs at least 15 ounces.
This inequality represents a constraint or a condition on the weight of a can of tomatoes. In mathematical terms, the inequality w >= 15 says that the value of w, which represents the weight of a can of tomatoes, must be greater than or equal to 15 ounces. Any value that satisfies this inequality is considered a valid solution for the weight of a can of tomatoes. For example, 15 ounces, 16 ounces, 17 ounces, and so on are all valid weights for a can of tomatoes that meet the requirement of weighing at least 15 ounces.
Learn more about inequality here:
https://brainly.com/question/28823603
#SPJ4
The complete question is:
At a supermarket, Each tomato can in a store weighs at least 15 ounces.
Let w stand in for the can of tomatoes' weight.
Which inequality best captures the circumstances?
[tex]w < 15 w < 15 W > 15 w > 15[/tex]
Russell surveyed 16 students at his school and found that 4 of them planned to take orchestra as their next elective. If Russell surveys 12 more students, how many of them are probably planning on taking orchestra as an elective, based on past data?
Answer:
3 students are probably planning on taking orchestra as their next elective.
Step-by-step explanation:
Russell's results of the 16 surveyed students tells us that (4/16), or 25%, of the students planned on taking orchestra as their next elective. If we assume this sampling is valid for other students (i.e., the sampled students were chosen at random and are believed to be representative of the rest of the students), we may use the same percentage for the next 12 students:
(12 students)*(25%) = 3 students are probably planning on taking orchestra as an elective.
an isosceles trapezoid has a height of 4 cm and bases 3cm and 7cm long. how long are its diagonals
The length of the diagonal of an isosceles trapezoid is 2.83 cm
An isosceles trapezoid is a quadrilateral with two parallel sides and two non-parallel sides of different lengths.
In this case, the non-parallel sides are the bases, which are 3cm and 7cm long. The height is the perpendicular distance between the two bases and is given as 4cm. To find the length of the diagonals, we can use the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the hypotenuse (the longest side).
In an isosceles trapezoid, the diagonals are equal in length and bisect each other. Let's call the length of the diagonal d. We can draw a right triangle with one leg being half of the trapezoid's height (2cm), the other leg being half of the difference between the two bases (2cm), and the hypotenuse being the length of the diagonal d. Using the Pythagorean theorem, we get:
(2cm)² + (2cm)² = d²
4cm² + 4cm² = d²
8cm² = d²
d = √(8cm²)
d = 2√(2)cm
d = 2.83cm
To know more about diagonal here.
https://brainly.com/question/12274248
#SPJ4
Find the diameter with of
Circumference 31.4ft
The diameter of a circle is 10 feet.
What is circumference of a circle?The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.
Given that, the circumference of a circle is 31.4 ft.
We know that, circumference of a circle is 2πr
Now, 2πr=31.4
2×3.14×r=31.4
6.28r=31.4
r=31.4/6.28
r=5 feet
Then, diameter=2×radius =10 feet
Therefore, the diameter is 10 feet.
Learn more about the circumference here:
brainly.com/question/28757341.
#SPJ9
before using census data, researchers need to consider the timeliness of the data. group startstrue or falsetrue, unselectedfalse, unselected
The statement "Before using census data, researchers need to consider the timeliness of the data." is true because census data is only accurate and useful when it is up to date.
The United States Census Bureau updates the data every ten years, so the most recent data will be from 2010. Additionally, researchers should be aware of any changes to the census information over time and make sure they are using the most up-to-date version. Furthermore, researchers need to understand the scope of the census data and what it is designed to measure.
The United States Census covers the entire population of the United States, but it is important to know the specific topics covered by each census and what population groups are included. Finally, researchers should be aware of how the census data is collected and the potential for error or bias in the data.
If the data is outdated, it could lead to inaccurate results or conclusions. Therefore, researchers must consider the timeliness of the data before using it in any research project.
To learn more about census data link is here
brainly.com/question/24631605
#SPJ4
The complete question is:
True or False: Before using census data, researchers need to consider the timeliness of the data.
Please help Find the sum of each infinite sum
18, 2, 2/9, ...
the sum of each infinite geometric series sum is 36
Why is this process known as geometric progression?If the ratio between any two consecutive terms in a series of numbers is always the same, the progression is said to be geometric. The ratio of any two successive terms in the sequence (common difference) must be the same for the sequence 2, 4, 8, or 16 to be a general prime.
How can you calculate the infinite sum?S = a/1-r is a general formula for calculating the sum of an infinite geometric series, where s stands for the sum, a1 is the series first term, and r is the common ratio.
a = first term = 18
r = common ratio = 1/2
sum of Geometric progression
r< 1
S∞ = a/(1-r)
S∞ = 18/(1-1/2) =36
To know more about infinite geometric series visit:-
https://brainly.com/question/29077917
#SPJ1
Yvette is saving money to buy holiday gifts. She will save the money she makes at her part-time job. However, she borrowed $25 from her sister that she has to pay back before she can start saving.
This relationship can be shown by a linear function. Below is a table showing how many hours Yvette has worked (input), and how much money she's saved (output).
Hours Worked (x) Amount Saved (y)
0 -$25
4 $14
8 $53
12 $92
16 $131
Which of the following statements are true regarding the graph of this linear function? Select all that apply.
Group of answer choices-
The slope of the line, 25, is the amount of money she makes per hour of work.
The slope of the line, 9.75, is the amount of money she starts with having worked 0 hours.
The y-intercept of the line, 0, is the amount of money she starts with, since she's worked 0 hours.
The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.
The slope of the lines, 9.75, is the amount of money she makes per hour of work.
The slope of the line is 9.75 and the y-intercept is -25.
What is a linear function?Two distinct but related concepts are referred tο by the phrase "linear function": A polynomial function of degree zero οr one that has a straight line as its graph is referred tο as a linear function in calculus and related fields.
Given: Yvette is saving mοney to buy holiday gifts. She will save the money she makes at her part-time job. Hοwever, she borrowed $25 from her sister which she has to pay back befοre she can start saving.
Let the linear functiοn that models the given situation be y = ax + b. Here, a and b are constants. We can use this infοrmation to find the values of a and b.
We put x = 0 & y = -25 into y = ax + b
b = -25
Substitute the value of b intο y = ax + b
y = ax -25...(1)
Nοw we put x = 4 and y = 14 in equatiοn(1) and we get
14 = 4a - 25
4a = 39
a = 9.75
Substitute the value of a in equatiοn (1):
y = 9.75x - 25
Cοmpare the above function with the slοpe-intercept form of a line y = mx + c
m = 9.75, c = -25
Hence, the slοpe οf the line is 9.75 and the y-intercept is -25.
To learn more abοut the linear function from the given link
brainly.com/question/30177575
#SPJ1
On the first night of Rosh Hashanah, David cuts 5 apples into slices and gives 3/8 of an apple to each of his guests. He has 2 apples left over. How many guests does david have? Let g equal the number of guests David has. Write an equation that represents the situation.
Based on the information provided, the number of guests was 8 guests and the equation to represent this situation is 3/8 x + 2 = 5.
How to calculate the number of guests?The first step to get to know the number of guests is to write an equation, this will help us discover the number of x or guests. To write the equation, let's include the variable and values given:
3/8 x + 2 = 5
Now, let's solve this equation:
0.375x + 2 = 5
x = 5 -2/ 0.375
x = 3 / 0.375
x = 8 guests
Based on the above, it can be concluded that the number of guests, in this case, was 8.
Learn more about equations in https://brainly.com/question/29657983
#SPJ1
Which quantity is unknown?
the number of guest
_____________________________________
Write an equation that represents the situation.
3/8g + 2 = 5
_____________________________________
How many guests does David have?
g = 8
if you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?
If you were to graph a sine function from the data listed in the table the days since Jan 8 is an independent variable and amount of moon visible is dependent variable
Given that, we have to graph a sine function from the data listed in the table
From the table we can see that there a two types of variables, The days since the Jan 8 and the amount of moon visible
The independent variable is defined as the variables that does not depends on any other variables
The dependent variable is defined as the variables that depends on other variables
Here the days since the Jan 8 does not depends on any other variables, so it is an independent variable. similarly the amount of moon visible depends on the days since Jan 8 value, so it is a dependent variable
Therefore, the days since Jan 8 is an independent variable and amount of moon light visible is dependent variable
Learn more about dependent variable here
brainly.com/question/1479694
#SPJ4
The given question is incomplete, the complete question is :
if you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?
Use the following data set to answer the question.
(54, 45, 48, 51, 53, 44, 52}
Which statements about the data set are true? Select all that apply.
Based on the given data set, the following statements are true:
The standard deviation is approximately 3.7. The interquartile range is 8.Why are the other statements false?The other statements are false because:
There is one outlier, which is 54. This is determined using the rule that any data point that falls more than 1.5 times the interquartile range (IQR) below the first quartile (Q1) or above the third quartile (Q3) is considered an outlier. In this case, Q1 is 46 and Q3 is 52, so any value less than 39.0 or greater than 59.0 would be considered an outlier. Since 54 falls within this range, it is not an outlier. The standard deviation is not approximately 49.6. This value is too high for the given data set, which has a range of only 10 values.Lastly, The interquartile range is not 10. As calculated above, Q1 is 46 and Q3 is 52, so the IQR is 52-46=6.
Learn more about standard deviation from
https://brainly.com/question/475676
#SPJ1
See transcribed text below
Use the following data set to answer the question.
(54, 45, 48, 51, 53, 44, 52}
Which statements about the data set are true? Select all that apply.
The standard deviation is approximately 3.7.
The interquartile range is 10.
There are no outliers.
The outlier is 54.
The standard deviation is approximately 49.6.
The interquartile range is 8.
Two different investment companies offer college savings plans, one at 8. 4% compounded continuously and the other at 8. 6% compounded quarterly. Which is the better investment?
The 8.4% compounded quarterly is the better investment because it gives a good return.
Compound interest is “interest-on-interest”, or the ability of a financial instrument to generate earnings on its earnings. Compound interest, can be calculated using the formula :
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
where A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
(i)S = P
S = P(1.0854) (1.0854)
AP(1) = 1.0846 - 1
AP(1)= 0.08546 or 8.546%
(ii)r = 0.084/4
AP(2) = (1 + 0.084/4)⁴ -1
AP(2) = 1.08688 - 1
AP(2) = 8.668%
The 8.4% compounded quarterly investment is therefore preferable.
To learn more about compound interest
https://brainly.com/question/30661956
#SPJ4
URGENT URGENT
Pls this is needed urgently
1.) Common ailments of senior citizens are arthritis, arteriosclerosis and loss of hearing. A survey of 200 senior citizens found that 70 had arthritis, 60 had arteriosclerosis, 80 had loss of hearing, 35 had arthritis and arteriosclerosis, 33 had arthritis and loss of hearing, 31 had arteriosclerosis and loss of hearing and 15 had all three. How many of the senior citizens in the survey had; (1). none of these ailments, (f), arthritis but neither of the other two ailments, (iii), exactly one of these ailments, (iv). arteriosclerosis and loss of hearing but not arthritis, (v). arteriosclerosis or loss of hearing but not arthritis, (vi). exactly two of these ailments?
(i) none of these ailments, 26
(ii) arthritis but neither of the other two ailments, 17
(iii) exactly one of these ailments, 102
(iv) arteriosclerosis and loss of hearing but not arthritis, 16
We can use a Venn diagram to solve this problem.
Let A, B, and C represent the events of having arthritis, arteriosclerosis, and loss of hearing, respectively. Then, the given information can be represented as:
A = 70
B = 60
C = 80
A ∩ B = 35
A ∩ C = 33
B ∩ C = 31
A ∩ B ∩ C = 15
Using these values, we can find the answers to the questions:
(i) The number of senior citizens with none of these ailments is the complement of the union of A, B, and C. That is:
n(A ∪ B ∪ C)' = n(S) - n(A ∪ B ∪ C)
= 200 - (70 + 60 + 80 - 35 - 33 - 31 + 15)
= 26
Therefore, 26 senior citizens had none of these ailments.
(ii) The number of senior citizens with arthritis but neither of the other two ailments is:
n(A) - n(A ∩ B) - n(A ∩ C) + n(A ∩ B ∩ C)' = 70 - 35 - 33 + 15
= 17
Therefore, 17 senior citizens had arthritis but neither of the other two ailments.
(iii) The number of senior citizens with exactly one of these ailments is the sum of the complements of the intersections of the events. That is:
n(A' ∩ B ∩ C') + n(A ∩ B' ∩ C') + n(A' ∩ B' ∩ C) = (200 - 60 - 31 - 15 - 33) + (200 - 70 - 31 - 15 - 33) + (200 - 70 - 60 - 15 - 35) = 102
Therefore, 102 senior citizens had exactly one of these ailments.
(iv) The number of senior citizens with arteriosclerosis and loss of hearing but not arthritis is:
n(B ∩ C) - n(A ∩ B ∩ C) = 31 - 15 = 16
Therefore, 16 senior citizens had arteriosclerosis and loss of hearing but not arthritis.
To know more about Venn diagram check:
https://brainly.com/question/29301560
#SPJ1
help me solve this question and show the steps how to do it
The equivalent expression to 14^6 is given as follows:
[(14^5)^3]/14^9.
How to obtain the equivalent expression?When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents.
The power of power exponential rule states that when a single base is elevated to multiple powers, the powers are multiplied.
Then the expression with the desired value of 14^6 is obtained as follows:
(14^5)^3 = 14^(5 x 3) = 14^15.14^15/14^9 = 14(15 - 9) = 14^6.More can be learned about simplification of expressions at https://brainly.com/question/30142908
#SPJ1
A scuba diver dives 36 feet and
stops to look at a school of fish.
Then he dives down another 26 feet
How deep is the scuba diver now?
Answer:
62 Feet
Step-by-step explanation:
26+36=62
6 + 6 = 12
20 + 30 = 50
12 + 50 = 62
Answer:
The scuba diver is 62 feet deep.
Step-by-step explanation:
We know the scuba diver has dived 36 feet. When he stops to look at the school of fish, he doesn't dive down any further and stays at 36 feet. He then dives down another 26 feet
All we would need to do is add 36 and 26, which would give you your answer of 62.
Can someone help me please with this question
Answer:
x=-2log10(12)
Step-by-step explanation:
12x10^x/2=1/12
x/2=-log10(12)
x=-2log10(12)
5. What is the experimental probability of selecting the name Alex? * O Option 1 O Option 3 406 = 27/35 10 טחת O Option 2 Option 4 23 25 10 points
The experimental probability of selecting the name Alex would be 40 % or 2 / 5
How to find experimental probability ?The experimental probability of selecting the name Alex can be found by the formula :
= Number of times Alex is drawn / Number of total draws x 100 %
Number of times Alex is drawn = 4 times
Number of total draws = 10 draws
The experimental probability of selecting Alex would therefore be :
= 4 / 10 x 100 %
= 0. 4 x 100 %
= 40 % or 2 / 5
Find out more on experimental probability at https://brainly.com/question/14395891
#SPJ1
Find the volume of the composite solid. Round your answer to the nearest tenth. The volume is about cubic centimeters
The volume of the composite solid with cube and hemisphere is equal to 646.0 cubic centimeters ( nearest tenth ).
In the attached figure:
Composite figure consists of two figures:
Cube and hemisphere
Side length of the cube = 8cm
Diameter of the hemisphere = 8cm
Radius of the hemisphere 'r' = 8cm / 2
= 4cm
Volume of the cube = ( side length )³
⇒ Volume of the cube = (8)³
⇒ Volume of the cube = 512 cubic centimeters
Volume of the hemisphere = ( 2/3 )πr³
⇒ Volume of the hemisphere = ( 2/3 ) × 3.14 × ( 4 )³
⇒ Volume of the hemisphere = 133.97 cubic centimeters
Volume of the composite figure
= Volume of the cube + volume of the hemisphere
= 512 + 133.97
= 645.97 cubic centimeters
= 646.0cubic centimeters
Therefore, the volume of the composite solid is equal to 646.0cubic centimeters ( nearest tenth ).
The above question is incomplete, the complete question is:
Find the volume of the composite solid. Round your answer to the nearest tenth. The volume is about cubic centimeters.
Figure is attached.
Learn more about volume here
brainly.com/question/1578538
#SPJ4
factorize this: 12x²y_6x²
The factored form of 12x²y - 6x² is 6x²(2y - 1).
How to factorise?The expression to be factorise is as follows: 12x²y - 6x².
Factorisation is the is defined as the breaking down of an entity . Factorisation simply implies we decompose the expression.
Therefore,
12x²y - 6x²
let's find the factors of 12x²y and 6x².
Hence, the factors are 6x²
12x²y - 6x² = 6x²(2y - 1)
Therefore, the factored form is 6x²(2y - 1)
learn more on factorisation here: https://brainly.com/question/29187137
#SPJ1
At a railway station, trains are either eastbound or westbound.
An eastbound train leaves the station every 25 minutes.
A westbound train leaves the station every 45 minutes.
An eastbound train and a westbound train both leave the station at 8 ar
When is the next time that two trains leave the station together?
If both bound trains leave together at 8, they will also start together at 11:45 the next time.
What is the LCM (least common multiple) of two numbers?The LCM of two numbers is the smallest possible number that is divisible by both of those two numbers. The prime factorization and the division methods are generally used to find the LCM.
An eastbound train leaves the station every 25 minutes whereas a westbound train leaves the station every 45 minutes.
These two types of trains will leave the station together if the time is divisible by both 25 and 45, that is, the LCM of them.
Find the LCM of 25 and 45 using the prime factorization method.
25=5×5
45=3×3×5
LCM(25,45)=3×3×5×5
=225
As 1 hour equals 60 minutes, it follows that 225 minutes equals 3 hours and 45 minutes.
If 3 hours 45 minutes is added to 8 hours, it will be 11 hours 45 minutes.
Therefore, the two trains leave the station together at 11 hours 45 minutes.
To learn more about the LCM click below :
https://brainly.com/question/16988805
#SPJ1
If Pakistani rupee (y) is a function of UAE dirham (x), write a function for y in terms of x. Draw the conversion graph between these two currencies by taking UAE dirham along x-axis.
The function for the Pakistani Rupee (y) in terms of UAE Dirhams (x) can be represented as, y = 71.59 x.
What are Function?A function is defined as a relation from a set A to a set B for which an element in set A maps to one and only one image in set B.
Usually the set A consists of the independent variable and set B consists of dependent variable.
We have to find a function relating the conversion of Pakistani rupees and UAE dirhams.
Let y denotes Pakistani Rupees and x denotes the UAE dirhams.
We know that,
1 UAE dirham = 71.59 Pakistani Rupees
So,
2 dirhams = 2 × 71.59 = 143.18 rupees
In this way,
x dirhams = 71.59 x rupees
So, we can write this as,
y = 71.59 x
Hence the required function is y = 71.59 x.
Learn more about Functions here :
https://brainly.com/question/27825401
#SPJ9
simplify each expression. 3x + 7 + 4x - 2
Answer: 3x+7+4x-2
Step-by-step explanation: 3x+4=7x
7-2=5
so the answer should be 7x+5
Nicole james and jenny shared one - third of pizza. What fraction of the the whole pizza did each of them receive
The fraction of pizza that each of them gets out of the whole pizza is 1/9.
What is meant by a fraction?
The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. A piece or sector of any quantity is another name for the fraction. Some of the different types of fractions are:
proper fractions, improper fractions, mixed fractions and so on.
Given 1/3rd portion of the pizza is shared by Nicole, James and Jenny.
Let us are assuming they shared the 1/3rd portion equally among themselves.
Then,
1/3 pizza = 3 people
1 person = 1/(3*3) = 1/9
Therefore the fraction of pizza that each person gets out of the whole pizza is 1/9.
To learn more about fractions, follow the link.
https://brainly.com/question/78672
#SPJ1
8x = 3y +3
- 24x +9y=3
parallel perpendicular or neither
The two lines have the same slope and different y-intercepts, thus, the lines are parallel.
What is the relation between the two linear equations?Here we want to find the relation between the two lines:
8x = 3y + 3
-24x + 9y = 3
First, we need to write these two as lines in the slope-intercept form. We will get:
3y = 8x - 3
y = (8/3)*x - 3/3
y = (8/3)*x - 1
And the other one:
9y = 3 + 24x
y = (3/9) + (24/9)*x
y = (1/3) + (8/3)*x
So, we can see that both lines have the same slope (and different y-intercept), thus, the lines are parallel lines.
Learn more about linear equations at:
https://brainly.com/question/1884491
#SPJ1
