The linear functions for this problem are given as follows:
13. y = 2x/3 + 8/3.
14. y = -3x + 5.
15. y = -1/3x - 2.
16. y = 5/4x - 1/4.
17. y = 7/4x + 19/2.
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.The slope is also related with parallel and perpendicular lines, as follows:
If the lines are parallel, they have the same slope.If the lines are perpendicular, the multiplication of their slopes is of -1.In item 13, the line in slope-intercept form is:
y = 2x/3.
The line we want to find is parallel, hence it has the same slope, that is:
y = 2x/3 + b.
When x = -1, y = 2, hence:
2 = -2/3 + b
b = 8/3.
Hence the line is:
y = 2x/3 + 8/3.
For item 14, the line is perpendicular to:
y = 1/3x + 4.
Hence the slope is found as follows:
1/3m = -1
m = -3.
Then:
y = -3x + b.
When x = 0, y = 5, hence b = 5 and the line is:
y = -3x + 5.
For item 15, the line is perpendicular to:
y = 3x + 4.
Then the slope is found as follows:
3m = -1
m = -1/3.
Then:
y = -1/3x + b.
When x = 0, y = -2, hence b = -2 and the line is:
y = -1/3x - 2.
For item 16, the line is perpendicular to:
y = 4 - 4/5x.
Then the slope is found as follows:
-4m/5 = -1
m = 5/4.
Hence:
y = 5/4x + b.
When x = 1, y = 1, hence:
1 = 5/4 + b
b = -1/4.
Then the line is:
y = 5/4x - 1/4.
For item 17, the line is perpendicular to:
y = 13/7 - 4/7x
Then the slope is found as follows:
-4m/7 = -1
m = 7/4.
Hence:
y = 7/4x + b.
When x = -2, y = 6, hence:
6 = -14/4 + b
b = 19/2.
Hence the line is given by:
y = 7/4x + 19/2.
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Is this triangle below a right triangle? Show all necessary work to prove your answer
Answer:
yes it is a right triangle because it forms a right angle between the 6 cm and 7 cm.
Answer:
yes
Step-by-step explanation:
draw the symbol for the 90 degrees in the part between 6 and 7
What value of x makes this equation true?
F 3
G-9
H -1
J 27
X/3−3 = x/9+
3
Fractions represent parts of a whole or collection of objects. In the above question the value of x is equals to 9
What is a fraction?Fractions represent parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called numerator. It tells how many equal parts of whole or collection are taken. The number below line is called denominator. It shows total number of equal parts the whole is divided into or the total number of the same objects in a collection.
When whole is divided into equal parts, the number of parts we take makes up a fraction.
In the mathematics, there are three major types of fractions. They are the proper fractions, improper fractions and mixed fractions. Fractions are those terms which have the numerator and denominator. Fractions are the terms used to determine parts of a whole object.
[tex]\frac{x}{3}-3= \frac{x}{9} + 3[/tex]
[tex]\frac{x}{3}- \frac{x}{9} = 3+3[/tex]
[tex]\frac{3x}{9}-\frac{x}{9} = 9[/tex]
[tex]\frac{2x}{9}= 9[/tex]
[tex]x=\frac{9*9}{2}[/tex][tex]=9[/tex]
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Find the perimeter and the area of a figure pls help urgent
The perimeter and the area of the figure are 36 meters and 48 square meters
How to find the perimeter and the area of the figure?Perimeter
This is the sum of the side lengths of the figure
So, we have
Perimeter = 7m + 6m + 7m + 6m + 5m + 5m
Evaluate
Perimeter = 36 meters
Area
This is the sum of the areas of the shapes that makes up of the figure
So, we have
Area = Area of rectangle + Area of triangle
This gives
Area = 7 * 6 + 0.5 * (6/2) * (11 - 7)
Evaluate
Area = 48 square meters
Hence. the perimeter and the area of the figure are 36 meters and 48 square meters
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=* When the stock market fell, Hayes lost 18% of the value of his stocks. The
stock was worth $2,486.95 before the loss. What was the stock worth after
?the loss
Answer:
Approximately $2,039.30
Step-by-step explanation:
Original value = $2,486.95
Value lost = 18%
100% value = $2,486.95
100% - 18% = 82% value remaining
.82 x 2,486.95 = 2039.299 or $2,039.30
before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. when he returned from Mexico, he had 100 pesos left. How much will he receive when he exchanges these pesos for dollars?.
He will receive $ 9 when he exchanges 100 pesos for American dollars.
We are given that:
Levant received 3000 Mexican pesos for 270 American dollars.
So, by using the unitary method, we will calculate the rate of 1 Mexican pesos for American dollars.
So, we get that:
3000 Mexican pesos = $ 270
1 Mexican Peso = $ 270 / 3000
1 Mexican Peso = 0.09
Now, we are also given that Levan has 100 pesos left.
So,
100 pesos = $ 0.09 × 100
100 pesos = $ 9
Therefore, he will receive $ 9 when he exchanges 100 pesos for American dollars.
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A bouquet has 6 roses and 21 other types of flowers. What is the ratio of roses to other flowers?
Answer:
6:21
Step-by-step explanation:
because there is 6 roses and 21 other types 6/21 = 6:21
Answer:
6:21
ratio indicates how many times one number contains another.
it can be simplified to 2:7, because the HCF of 6 and 21 is 3, it's been divided by 3.
hope it helps.
10 times a number equals 10 less than 12 times a number what is the number
Answer:
Step-by-step explanation:
Mathematically the statement can be written as 10x=12x-1010x-12x=-10-2x=-10[tex]\frac{-2x}{-2} =\frac{-10}{-5} \\x=5[/tex]That number is 5Answer:
10×V=10-12×V=Step-by-step explanation:
this is how for I understand it buh if am wrong my badAnswer if you know your right, bur don't answer just for the points
Answer:
42% is less than 5/8
Step-by-step explanation:
If 42% is converted to a fraction, it comes out to 21/50, which is smaller than 5/8. You could also convert 5/8 into a percentage, which comes out to 62.5%. :)
Answer:
42% < 5/8
Step-by-step explanation:
We're going to change 5/8 to a percent. All you have to do is 5/8, which is 0.625. If you want to convert a decimal to a fraction, you move the decimal 2 places to the right, which is 62.5. Therefore, 42% is less, or < than 5/8.
On the last three physics exams a student scored 85, 87, and 91. What score must the student earn on the next exam to have an average of at
Least 90?
If you want to have an average of at least 90, the score that you need to get in the last exam is at least 97 points.
What score must the student earn on the next exam to have an average of at least 90?
We know that the scores on the first 3 exams are 85, 87, and 91.
If the score in the fourth exam is x, then the average of the 4 exams will be:
(85 + 87 + 91 + x)/4
If we want to have an average of at least 90, then we need to solve:
(85 + 87 + 91 + x)/4 = 90
Solving that for x we will get:
(263 + x) = 90*4
x = 90*4 - 263 = 97
The score that you need to get in the last exam is 97 points.
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Can Σx² be negative? Why or why not
Which phrase best completes the diagram?
Globalization
?
A. More unequal distribution of natural resources
B. Improved incomes for poor people in all countries
C. Decreased competition for small businesses
OD. Decreased demand for natural resources
The phrase that best relates to the term "Globalization" is "Improved incomes for poor people in all countries".
As per the question statement, we are provided with the term of "Globalization" and we are required to match it with the best possible phrase from the four options provided.
Option (A) is "More unequal distribution of natural resources" which is incorrect because unequal distribution does not depend on globalization but on the size of the company and their effects on the environment.
Option (C) is "Decreased competition for small businesses" which is incorrect because this will increase the competition for small business.
Option (D) is "Decreased demand for natural resources" which is incorrect, since globalization speeds up the exchange of capital-labor production which requires more natural resources rather than their decrease.
Option (B) is "Improved incomes for poor people in all countries" which is the correct match, because globalization's main character is economic growth which directly affects the totally population of a country including the poor as the country becomes open to trade and then tends to work faster than the time when it was not open to trade, and this creates job opportunity for the people and helps in increasing the living standard of the people.
Hence, the best possible match to the term "Globalization" is "Improved incomes for poor people in all countries".
Globalization: As the name itself suggests, Globalization is the process of interaction and integration among people, companies, and governments worldwide for the development of international trade, economy and harmony.To learn more about Globalization, click on the link below.
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Answer:
More unequal distribution of natural resources
Step-by-step explanation:
5. If that same manufacturer miscalculates the demand of the market and manufactures 5,000 dozen of those sweaters, but only sells 3,000 dozen, what is the total profit from the sweaters? (Show your calculations.) $ profit.
If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".
As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.
We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.
Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.
Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be [tex](5000*x)=5000x[/tex].
Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be [tex][(3000*y)=3000y][/tex].
Now, we know that,
[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],
Therefore, in this case, total profit from the sale of 3000 sweaters
[tex]=(3000y-5000x)\\=1000(3y-5x)[/tex].
Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.
Profit: On sale of any goods, a person makes profit if he/she can sell the goods for a higher value than what they had bought for, or what they had manufactured at and is thus, calculated as the difference of total selling price of the goods and the manufacturing cost or buying price of them.Loss: This is the exact opposite of profit and is calculated as the difference of manufacturing cost or buying price of the goods and their selling price.To learn more about Profit and Loss, click on the link below.
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650 ft.² divided by 2/3 of an hour
The value of 650 ft.² divided by 2/3 of an hour is 975 ft² per hour
How to evaluate the quotient?The mathematical statement is given as
650 ft.² divided by 2/3 of an hour
This can be represented properly as:
650 ft.² / 2/3 of an hour
2/3 of an hour is
2/3 of an hour = 2/3 hr
So, we have
650 ft.² / 2/3 of an hour = 650 ft.² / (2/3 hr)
Evaluate the quotient
650 ft.² / 2/3 of an hour = 975 ft² per hour
Hence, the value of 650 ft.² divided by 2/3 of an hour is 975 ft² per hour
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Determine the sum of the first n terms of the geometric sequence for the values of a, and r.
n = 4, a₁ = -3, r = 3
Step-by-step explanation:
gsvsvhsjjsbsbheeb dbdjdbdurjr rjrnir
Round 468.113 to the nearest tenth.
Answer:
468.1
Step-by-step explanation:
good luckkk
Answer:
468.1
Step-by-step explanation:
rounding to the nearest tenth
Accounts Payable may sometimes include non-current or long-term payables in certain circumstances.
True
False
Accounts Payable may sometimes include non-current or long-term payables in certain circumstances is False
Non-current or long term liabilities are obligations to be paid after 12 months or a operational cycle. It is opposite of current liabilities, where the debts are short-term and its maturing is within twelve months.
Non-current liabilities arises when the company is using long term loans for the business requirements. Businesses may also require to finance the capital expenditure from time to time.
Accounts payable shows that the purchases that are unpaid by the organization . The accounts payable is the most important portion of the current liabilities of the company’s financial statements.
The business rules states that short term obligations shall be fulfilled out by current assets.
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Help now please. Will mark brainliest
Answer:
The expression that shows a valid step in
the process of finding the decibel level of the noise is dB = 10 log 150,000. Option C is correct
Given the equation for calculating the intensity of sound which is measured in decibel expressed as:
dB=10 log l
where;
I is the ratio of the sound to the human hearing threshold
Given that noise is 150,000 times greater than the human hearing threshold.
Substitute | = 150,000 into the expression above;
dB = 10 log 150,000
If this is correct, brainliest please.
A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16 How many times larger is the diameter of the dish than the diameter of the bacterium
For a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.
How to solve for the diameterWe have the diameter of the dish to be 0.0001
This is the same as 10⁻⁴
The bacterium has the diameter at 10^-16
The difference between the diameter of the dish than the bacterium would be solved by
1 x 10⁻⁴ / 10^-16
= 10¹²
Hence we would have to say that for a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.
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The cost of a ticket to the circus is $14.00 for children and $38.00 for adults. On a certain day, attendance at the circus was 700 and the total gate revenue was $19,400. How many children and how many adults bought tickets?
Answer:
300 children and 400 adults
Step-by-step explanation:
14(x) + 38(700-x) = 19,400
14x + 26,600 - 38x = 19,400
14x - 38x = -7,200
-24x = -7,200
24x = 7,200
x = 300
x = childrens
700 - x = adults
300 = children
400 = adult
Which number is rational and a real number, but not an integer?
OA. -5
O B. 9/
517
C. There is no such number.
OD. √
517 is real because it can be plotted on a number line.
What in math is an integer?
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.Which a real number?
Both rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1), fractions (1/2, 2.5), and the number 3.9/517 is real because it can be plotted on a number line,
Its rational because it can be written as a fraction of 2 integers
But it is not an integer.
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Solve |3x-2| = |x + 1|
The value of x for given MOD equation is 1.5.
What is MOD?The portion left over after dividing one integer by another is known as the modulo (or "modulus" or "mod"). As an illustration, 100 9 = 11 with a leftover of 1, hence 100 mod 9 equals 1.
When two numbers are split, the modulo operation in computing yields the remainder or signed remainder of the division (called the modulus of the operation).
According to the given value;
|3x-2|=|x+1|
3x-2=x+1
3x-x=1+2
2x=3
x=3/2 = 1.5
The value of x for given MOD equation is 1.5.
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Find the values of x and y.
PLEASE HELP ME I DONT GET THIS
Which sentence correctly compares the two numbers 24.204 and 24.240?
Answer:
24.204 < 24.240
Think:
24.204 = 24,204
24.240 = 24,240
Which is greater?
24,240 is.
⇒ Hope this helps!
The blue prints (scale drawing) of a new strip mall are 2 feet by 9 feet. The actual strip mall is 200 feet by 900 feet. What is the scale factor from the blue prints to the actual mall?
The scale factor from the blue prints to the actual mall is 1:100.
How to calculate the value?From the information, the blue prints (scale drawing) of a new strip mall are 2 feet by 9 feet and the actual strip mall is 200 feet by 900 feet.
Therefore, the scale factor from the blue prints to the actual mall will be:
= 200 / 2
= 100
Therefore, the scale factor from the blue prints to the actual mall is 1:100.
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Evaluate the expression ab, for a = 4 and b = 7.
Answer:
28
Step-by-step explanation:
4 x 7 = 28
is 4/3 and 3/4 equivalent fractions
Answer:
no
Step-by-step explanation:
3/4 is equivalent to 6/8,9/12, and 15/20
the expression sinx + cotx cosx can be simplified to what
after simplifying the expression sinx + cotx cosx, we get the result as cosec x.
We are given the expression:
sinx + cotx cosx
We need to simplify the expression.
We know that cot x can also be written as
cot x = cos x / sin x
Substituting it in the expression, we get that:
= sin x + ( cos x / sin x ) cos x
opening the brackets, we get that:
= sin x + cos² x / sin x
= (sin² x + cos² x ) / sin x
Using the trigonometric identity that sin² x + cos² x = 1, we get that:
= 1 / sin x
= cosec x
Therefore after simplifying the expression sinx + cotx cosx, we get the result as cosec x.
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Solve: -8+6x+5X+-11-7
[tex]\bold{H \: e \: y \: o \: !}[/tex]
____________________
Let's simplify step-by-step ~
______________________
[tex]\sf{-8 \: + \: 6x \: + \: 5x \: + \: - \: 11 \: - \: 7}[/tex]
[tex]\sf{= -8 \: + \: 6x \: + 5x \: + \: - \: 11 \: + \: - \: 7}[/tex]
_______________________
Combine like terms:
[tex]\sf{= \: -8 \: + \: 6x \: + \: 5x \: + \: - \: 11 \: + \: -7}[/tex]
[tex]\sf{= \: (6x \: + \: 5x) \: + \: (-8 \: + \: -11 \: + \: -7)}[/tex]
[tex]\sf{= \: 11x \: + \: -26}[/tex]
[tex]\huge{\mathcal{\boxed{\rightarrow \: = \: 11x \: - \: 26}}[/tex]
Hope It Helps!
A n s w e r e d : - ᴀᴅʀɪᴀɴɴᴏɪʀ
sets you can form using only the elements in the set (5, 7, 9).
Answer:
va de 3 Ok qjwjqjwjwjsjsh
Step-by-step explanation:
wjwjwjwhwhwjjde
solve the equation
y + 8 = 3
y =
Answer
the answer to the question is -5
Step-by-step explanation: