star, incorporated, used excel to run a least-squares regression analysis, which resulted in the following output: regression statistics multiple r 0.9814 r square 0.9576 observations 30 coefficients standard error t stat p-value intercept 174,182 60,782 2.87 0.020 production (x) 11.93 0.9256 12.89 0.000 what total cost would star predict for a month in which production is 2,000 units?
The total cost predicted for a month with 2,000 units of production using the equation of the regression line $197,042.
The total cost predicted by Star, Inc. for a month in which production is 2,000 units would be calculated using the equation of the regression line:
y = intercept + (slope * x)
where y is the total cost, x is the production, intercept is the y-intercept (174,182), and slope is the coefficient of production (11.93).
Plugging in the values, we get:
y = 174,182 + (11.93 * 2,000) = 174,182 + 23,860 = 197,042
So the total cost predicted for a month with 2,000 units of production is $197,042.
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a group of students had dinner at a local restaurant. the total bill for the dinner was $364.99. each student paid his/her equal share of the bill, which was $21.47. how many student's were at the dinner?
The number of students present at the dinner is 17
As stated in the question, a group of students had dinner at a local restaurant.
The total bill for the dinner was $364.99 and each student paid an equal share of the bill which is $21.47. according to the question we have to find the number of students present at the dinner,
To find the number of students we have to divide the total bill by the amount paid by each student,
Let the number of students who were present at the dinner be x
Now number of students = total bill/amount paid by each student
Hence, x = $364.99 ÷ $21.47
So the value of x is 17
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Khalil is going to invest in an account paying an interest rate of 6.6% compounded daily. How much would Khalil need to invest, to the nearest dollar, for the value of the account to reach $1,470 in 9 years?
Answer:
$1,000 to the nearest dollar
Step-by-step explanation:
We can use the formula for compound interest to calculate the amount that Khalil would need to invest:
A = P * (1 + r/n)^(nt)
where A is the final amount, P is the initial amount (the amount invested), r is the interest rate as a decimal (6.6% = 0.066), n is the number of times compounded in a year (daily = 365), t is the number of years, and ^ is the exponent operator.
We want to find P, so we can rearrange the formula:
P = A / (1 + r/n)^(nt)
Plugging in the values:
P = $1,470 / (1 + 0.066/365)^(365 * 9)
Calculating this expression to the nearest dollar, we get P = $1,000.
So, Khalil would need to invest $1,000, to the nearest dollar, in order for the value of the account to reach $1,470 in 9 years
23. dr. yantz, dr. darrough, and dr. wilson have decided to re-organize the pop-cubes. they have 5915 red cubes and 1715 blue cubes. they are going to put the cubes into bags in this way: a. each bag will have the same number of red cubes. b. each bag will have the same number of blue cubes. (note: the number of red cubes does not have to equal the number of blue cubes.) c. there will not be any cubes left over. what is the greatest number of bags that can be made, and what will each bag contain? show your reasoning
There can be a maximum of 1183 bags, each containing 5 red cubes and 5 blue cubes.
Let x be the number of red cubes in each bag and y be the number of blue cubes in each bag. Then, the number of red cubes in all bags is 5915/x, and the number of blue cubes in all bags is 1715/y.
Since the number of cubes in each bag is the same and there will not be any cubes left over, we must have 5915/x = 1715/y = z, where z is the number of bags.
To find the greatest value of z, we need to find the greatest common factor (GCF) of 5915 and 1715. We can use the Euclidean algorithm:
5915 = 1715 × 3 + 720
1715 = 720 × 2 + 275
720 = 275 × 2 + 170
275 = 170 × 1 + 105
170 = 105 × 1 + 65
105 = 65 × 1 + 40
65 = 40 × 1 + 25
40 = 25 × 1 + 15
25 = 15 × 1 + 10
15 = 10 × 1 + 5
10 = 5 × 2 + 0
The GCF of 5915 and 1715 is 5, so each bag will contain 5 red cubes and 5 blue cubes. The number of bags is z = 5915/5 = 1183.
Therefore, there can be a maximum of 1183 bags, each containing 5 red cubes and 5 blue cubes.
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En un día normal la temperatura en un aeropuerto es de 20ºF. Indicar si podrán despegar los vuelos. Explica
Yes, the flights can take off at this temperature.
What is temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.
Given is that on a normal day the temperature at an airport is 20ºF.
Yes, flights can take off at this temperature. Commercial airplanes can cruise at an altitude of nearly 40,000 feet, where temperatures hover around -70 degrees Fahrenheit.
Therefore, Yes, the flights can take off at this temperature.
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{Complete question in english -
On a normal day the temperature at an airport is 20ºF. Indicate if the flights will be able to take off. Explain}
1. Which of the following are in direct variation? i. Money deposited in the bank and interest earned on it. ii. Number of workers and the time taken to complete a work. iii. Area of land and its cost. iv. Distance travelled by a taxi and the fare charged
Answer:
Step-by-step explanation:
(i) We know that more is the number of workers to do a job, less is the time taken to finish the job.
So, it is a case of inverse proportion.
(ii) Considering uniform speed, as the distance to be travelled increases, the time taken to cover it will also increase.
So, this is a case of direct variation.
(iii) Clearly, more is the area of cultivated land, more is the crop harvested.
So, it is a case of direct proportion.
(iv) We know that the more will be the speed of the vehicle, the distance will be covered in lesser time.
So, it is a case of inverse proportion.
(v) Clearly, more is the population, less is the area of land per person in a country.
So, it is a case of inverse proportion.
Answer:
Step-by-step explanation:
If y = 27 when x = 6, write the direct variation equation. If y = -7 when x = -14, write the direct variation equation and find y when x = 20. If x = 8 when y = 4, write the direct variation equation and find y when x = 5. y = 1/6x; If x = 36 when y = 6, find x when y = 42. If y = -16 when x = 4, find x when y = 20.
Three hundred students were surveyed about whether they are right- or left-handed.
Enter the correct answers in the boxes to complete the two-way relative frequency table.
Show Hints
7th graders
8th graders
TOTAL
Right-handed Left-handed TOTAL
0.89
0
0.05
0.49
1.00
The values of the spaces in columns are x,a,b,c,y which is equal to 0.46, 0.43, 0.06, 0.11, 0.51 respectively
How to find the values?Remember that the probability of the certainty of an event is equal to 1
Lethe spaces be labelled according to the table:
right hand left hand total
7th grade x 0.05 y
8th grade a b 0.49
Total 0.89 c 1.00
To find the value of y:
y + 0.49 = 1.00
Making y the subject of the relation
y = 1.00-0.49
y = 0.51
To find the value of x:
x + 0.05 = 0.51
Making x the subject of the formula
x = 0.51-0.05
x= 0.46
To find the value of a:
x+a = 0.89
0.46+a = 0.89
Making a the subject we have
a = 0.89-0.46
a = 0.43
To find the value of b:
0.43+b = 0.49
Making b the subject of the relation
b= 0.49-0.43
b= 0.06
To find the value of c:
0.89+c = 1.00
Collecting like terms
c = 1.00-0.89
c= 0.11
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What is the unknown fraction?
four tenths plus thirty-eight hundredths equals blank
eighty-seven hundredths
seventy-eight hundredths
forty-two hundredths
thirty-four hundredths
The required unknown fraction for four-tenths plus thirty-eight hundredths equals seventy-eight hundredths. Option C is correct.
What is the fraction?A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.
Here,
The unknown fraction can be found by adding the given fractions:
=4/10 + 38/100
= [40 + 38]/100
= 78/100
Thus, the unknown fraction is seventy-eight hundredths.
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largest possible value of x and smallest possible value of x
If the mode is 1 , the largest number of x is 11
If the mode is 2, the smallest number of x is 13
What is mode?The mode of a set of data is the most frequent item in the set. For example , The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.
Therefore the mode of a set is the item that appeared most in the set.
In the table above , the table shows the number of students that read books
4 students reads 0 and 12 reads 1.
If 1 is the mode of the data, it means the highest possible value of x should be less than 12 l, which is 11.
If the mode is 2, the smallest number of x, should be greater than x which is 13
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you just solved a linear system . unfortunately, the rhs that you solved it with was wrong. worried, you compute the condition number of your matrix is about . what could your worst-case relative error in the solution be due to your use of the wrong rhs?
the condition number of your matrix is about . what could your worst-case relative error in the solution be due to your use of the wrong equation s = (w − rh)/c
Undo what is done to the variable. It is multiplied by c and rh is added to that product.
cs +rh = w . . . . . given
cs = w -rh . . . . . undo the addition of rh: add -rh to both sides
s = (w -rh)/c . . . . undo the multiplication by c: divide both sides by c
Additional comment
Each entire side of the equation is divided by c. That means the entire expression (w-rh) is divided by c. It is incorrect to write that division as w-rh/c. The division bar (/) in plain text only refers to the immediately preceding and the immediately following tokens as its operands. When the expression is typeset, the division bar serves as a grouping symbol, showing you the entire numerator.
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a regular pentagon is rotated about its center. what is the minimum number of degrees needed to carry the pentagon onto itself?
The minimum number of degrees needed to carry the pentagon onto itself is 72.
A polygon having 5 sides and 5 angles are called a pentagon. Two terms, Penta and Gonia, both of which denote five angles, combine to form the word "pentagon." From end to end, the sides of a pentagon come together to form a shape. Consequently, there are five sides to a pentagon. The Pentagon has five sides, as far as we know.
Any polygon's outside angles now total 360 degrees. The minimal number of degrees needed to carry the pentagon inward is therefore = 360/5 = 72° if we rotate the pentagon counterclockwise around its center.
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The cross section of a prism is an n sided polygon.
Circle the number of edges that the prism has.
2n
n+2
n+ 3
3n
The number of edges that the prism has is
n + 2What does a prism's cross section look like?When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.
A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.
Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.
Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.
In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.
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There are 160 boys and girls playing in the soccer tournament 32 of the students are wearing orange What percent of the players are wearing orange?
Answer:
20%
Step-by-step explanation:
the question for this problem is basically 32/160*100
32/160=1/5=0.2. We need to make it into a percent so 0.2*100= 20%
measuring the number of completed written homework assignments, or the number of completed arithmetic problems, or the number of thrown pencils is what type of measurement?
Quantitative measurement, as it involves counting or measuring numerical values
Quantitative measurement involves collecting and analyzing data that is expressed in numerical form. This type of measurement is often used to measure physical or behavioral characteristics, such as the number of completed written homework assignments, the number of completed arithmetic problems, or the number of thrown pencils. Quantitative measurement involves quantifying or assigning numerical values to certain characteristics. These numerical values are then used to compare different individuals or groups, or to measure changes over time. This type of measurement allows for reliable and valid data to be collected, which can be used to draw valid conclusions about the characteristics being measured.
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Students are making lemonade from a powdered lemon drink mix. Isaac mixes 3 cups of water and 2 cups of powdered lemon mix. Mariam mixes 5 cups of water and 4 cups of powdered lemon mix. Use Isaac and Mariam’s proportions of powdered lemon mix to determine whose mix will be more lemony.
Answer:
Ariana's percentage of lemon cups is 85%.
Andre's percentage of lemon cups is 48%.
Step-by-step explanation:
Ariana:
Lemon cups = 17
Total cups = 17 + 3 = 20
Percent of lemon cups.
= 17/20 x 100
= 17 x 5
= 85%
Andres:
Lemon cups = 10
Total cups = 11
Percent of lemon cups. = 10/21 x 100 = 48%
Solve for x and y 20 points
Answer:
Step-by-step explanation:
you may have found the limit from one side instead of from both sides as notated. how might you consider the limit as x approaches a from both sides?
LHL is equal to RHL then limit exist
LHL is not equal to RHL then limit does not exist.
As per the given data the graph of the function is given
Here we have to determine the limit at the indicated value of a, if it was exists.
You may have found the limit from one side instead of from both sides as notated.
Now we have to find:
[tex]$\lim _{x \rightarrow a} f(x)$[/tex] when a = 1
We find the left hand side limit and the right hand side limit at a = 1
So,
The Left hand limit is [tex]$\lim _{\mathrm{x} \rightarrow 1^{-}} \mathrm{f}(\mathrm{x})=\frac{3}{2}$[/tex]
The Right hand limit is [tex]$\lim _{x \rightarrow 1^{+}}[/tex] f(x) = 3
Here [tex]$\lim _{x \rightarrow 1^{-}} f(x) \neq \lim _{x \rightarrow 1^{+}} f(x)$[/tex]
Hence [tex]$\lim _{x \rightarrow a}[/tex] f(x) = DNE
From the graph we find the left hand limit and the right hand limit:
If Left hand limit = Right hand limit then limit exist
If then Left hand limit ≠ Right hand limit then limit does not exist.
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Use the graph of the given function f to determine the limit at the indicated value of a, if it exists.(If an answer does not exist, enter DNE.)
Graph attached at the end of solution
you may have found the limit from one side instead of from both sides as notated. how might you consider the limit as x approaches a from both sides?
Which bank should Marco choose to get the most interest over the 3-year period?
Answer:
Bank Of Trust
Step-by-step explanation:
complete the equation describing how x and y are related (can anyone help me with this please)
The equation of line which describe how x and y are related is,
⇒ y = 5x + 3
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the table are (-1, -2) and (0, 3).
Now,
Since, The equation passes through the points (-1, -2) and (0, 3).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (3 - (-2)) / (0 - (-1))
m = 5 / 1
m = 5
Thus, The equation of line with slope 5 is,
⇒ y - (-2) = 5 (x - (-1))
⇒ y + 2 = 5 (x + 1)
⇒ y + 2 = 5x + 5
⇒ y = 5x + 5 - 2
⇒ y = 5x + 3
Therefore, The equation of line passes through the points (-1, -2) and
(0, 3) will be;
⇒ y = 5x + 3
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What did the authors of the A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.
coordinate plane with points at negative 14 comma 1 labeled Woozy Wheel, negative 6 comma 2 labeled Bumper Boats, negative 2 comma negative 4 labeled Roller Rail, negative 2 comma negative 6 labeled Trolley Train, 2 comma negative 3 labeled Silly Slide, and 6 comma 11 labeled Parachute Plunge
Determine the distance between the Woozy Wheel and the Roller Rail.
119 units
11 units
169 units
13 units
The distance between Woozy Wheel and the Roller Rail is 13 units.
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Distance between two points (x, y) and (x', y') is,
D = √[(x' - x)² + (y' - y)²]
Coordinates of Woozy Wheel = (-14, 1)
Coordinates of Roller Rail = (-2, -4)
Distance = √ [(-2 - -14)² + (-4 - 1)²]
= √ [(12)² + (-5)²]
= √169
= 13 units
Hence the required distance is 13 units.
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The distance between the Woozy Wheel and the Roller Rail is 13 units.
The correct option is D.
What is the distance between two points?Distance between two points with coordinates (x₁ , y₁) and (x₂ , y₂). is given by
D = √[(x₁ - x₂)² + (y₁ - y₂)²]
This formula is derived from the Pythagoras Theorem, as the points form a right triangle in plane, with the hypotenuse representing the distance between them.
The coordinates of the Woozy Wheel and the Roller Rail are:
Woozy Wheel: (-14, 1).
Roller Rail: (-2, -4).
Hence the distance between these two points is given as follows:
D = √[(-14 - -2)² + (1 - -4)²]
D = √(-12² + 5²)
D = √(144 + 25)
D = √169
D = 13
Hence, 13 units is the distance between Woozy Wheel and Roller Rail.
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Find the area of this circle.
Use 3.14 to approximate .
A = πr²
13 cm
A = [?] cm²
The area of the circle is 530.66 cm².
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Radius = 13 cm
π = 3.14
Now,
Area = πr²
Area = 3.14 x 13²
Area = 3.14 x 169
Area = 530.66 cm²
Thus,
The area is 530.66 cm².
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we draw 200 numbers from n(50, 10). we consider any number greater than 70 to be an outlier. using the empirical rule how many outliers do we expect to have in our sample of 200?
The empirical rule states that for a normal distribution, approximately 68% of the data will fall within one standard deviation of the mean.
Approximately 95% of the data will fall within two standard deviations of the mean, and approximately 99.7% of the data will fall within three standard deviations of the mean.
If we have a sample of 200 numbers drawn from a normal distribution with mean 50 and standard deviation 10, then using the empirical rule we would expect:
Approximately 68% of the data to fall between 50 - 10 = 40 and 50 + 10 = 60
Approximately 95% of the data to fall between 50 - 2 * 10 = 30 and 50 + 2 * 10 = 70
Since we consider any number greater than 70 to be an outlier, we would expect approximately 0.03 * 200 = 6 outliers in our sample of 200.
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para un experimento. La pieza de hierro pesaba 9 3/8 libras y la pieza de aluminio pesaba 7 1/8 libras. ¿Cuánto más pesó la pieza de hierro que la pieza de aluminio?
In mass, the weight more than aluminum that the iron piece weighs is 2 pounds
How to find the difference in weight ?First, convert the weight of the pieces to improper fractions by multiplying the denominator with the mixed portion of the fraction and then adding the numerator.
The weight of the iron piece is:
= ( 9 x 8 + 3 ) / 8
= 73 / 8 pounds
The weight of the aluminum piece is :
= ( 7 x 8 + 1 ) / 8
= 57 / 8 pounds
The difference in weight is:
= 73 / 8 - 57 / 8
= 16 / 8
= 2 pounds
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6. A pair of socks is purchased at wholesale for $2.00. It is then sold to the customer for $4.00. What is the percent increase?
Its 200%
2.00 is 100% of $2.00. So, $4.00 is 200% of $2.00, or double
Compare the key feature (slope and y-intercept) of each linear function g with those of the graph of f(x)= 2x + 3. Describe how the value of k affects the key features.
Please explain all the questions.
23. g(x)=3(2x+3) has a slope of 6 and y-intercept of 9.
24. g(x)=2(0.5x) +3 has a slope of 1 and y-intercept of 3.
25. g(x)=1(2x+3) has a slope of 2 and y-intercept of 3.
26. g(x)=2(1)x+3 has a slope of 2 and y-intercept of 3.
The value of k in the linear function g(x)=k(mx+b) affects the slope of the function by multiplying the slope of the original function m by k. The y-intercept of the function remains unchanged.
How did we arrive at the assertions?23. g(x)=3(2x+3) can be written as g(x)=6x + 9. This shows that the slope of the function is 6 and the y-intercept is 9.
24. g(x)=2(0.5x) +3 can be written as g(x)=x + 3. This shows that the slope of the function is 1 and the y-intercept is 3.
25. g(x)=1(2x+3) can be written as g(x)=2x + 3. This shows that the slope of the function is 2 and the y-intercept is 3.
26. g(x)=2(1)x + 3 can be written as g(x)=2x + 3. This shows that the slope of the function is 2 and the y-intercept is 3.
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Jonelle spends $22.50 at a library book sale.she spends $4.50 on a paperback books and buys 6 hardcover books of equal value.
Answer: 3
Step-by-step explanation:
Subtract the cost of paperback books from Jonelle's total amount.
(22.50 - 4.50)
Then, you'll get ($18).
Divide (18) by the number of hardcover books.
(18/6)
Finally, you'll get $3 for the cost of each hardcover book.
The graph shows similar slope triangles on a line. Which of the following statements are true? Select all that apply.
A: the slope of each triangle is 2/3
B: the slope of the line is negative
C: the slope of the line is positive
D: triangle has a greater slope because the triangle is larger
guys which ones are the correct answers cuz i need to select all the correct ones help pls
Answer:
C
Step-by-step explanation:
slope is 3/2 - use any diff in Y divide by diff in x, easiest one is BC/BA = 3/2
the line goes upwards, so slope must be positive
every triangle has the same slope cause their long sides share the same line
only C is right
Answer: The slope answer is A but my also have an extra which is e so C an E are the correct answer
Step-by-step explanation:
I just did them and it was correct hope it help :)
Which of the following equations represents
a line that passes through the points (3, 3)
and (4,2)?
I. y - 3 - (x − 3)
II. y = -x + 6
The equation of the line passing through the given points y=3-(x-3)
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The point (3,3) and (4,2)
Using the two point form to construct the line that passes through both the points by following the standard equation. Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
Thus
y-3=2-3/4-3 (x-3)
y-3=-1(x-3)
y-3=-x+3
y+x=6
or it can also be rearranged as y=3-(x-3)
Thus the equation of the line that passes through the two given points is y=3-(x-3)
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Complete the table for the function and it’s inverse
f-¹(x) = 1/3(x) - 2/3
The solution is, for, x = -1, 0, 1, 3, the value of f(x) is, -1, 2, 5, 11.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
f^-¹(x) = 1/3(x) - 2/3
so, by solving we get,
the real function is,
f(x) = 3x+2
as, we get,
let, y= f^-¹(x)= x/3 - 2/3
i.e. x = 3y+2
so, we get , inverse of f^-¹(x) is, f(x)
now, f(x)= 3x+2
Hence, The solution is, for, x = -1, 0, 1, 3, the value of f(x) is, -1, 2, 5, 11.
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write the output y in terms of x. input x /4 +3 output y
The output y in terms of x is y > x/7.
What is an inequality in mathematics?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made;
Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics;
Given;
The equation;
x/4+3 = y
Now, y = x/7
y>x/7
Therefore, the inequality will be y>x/7;
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