Answers
y = 2x - 5
x y
-2 2(-2) - 5 = -9
-1 2(-1) - 5 = -7
0 2(0) - 5 = -5
1 2(1) - 5 = -3
Related Questions
The price of 5 citrons and 3 fragrant wood apples is 27 units. The price of 3 citrons and 5 fragrant wood apples is 29 units. Find the price of a citron and the price of a wood apple.
Answers
The Solution.
Let the price of a citron be represented with x, and the price of a fragrant wood apple be y.
So, the first sentence in the question gives the equation below:
\(5x+3y=27\ldots eqn(1)\)Similarly, the second sentence in the question gives the equation below:
\(3x+5y=29\ldots eqn(2)\)Solving the above pair of equations simultaneously using the Elimination Method:
We shall eliminate the term in x;
So, we shall multiply through eqn(1) by 3, we get
\(\begin{gathered} 3(5x+3y=27) \\ 15x+9y=81\ldots eqn(3) \end{gathered}\)Similarly, we shall multiply through eqn(2) by 5, we get
\(\begin{gathered} 5(3x+5y=29) \\ 15x+25y=145\ldots eqn(4) \end{gathered}\)Subtracting eqn(3) from eqn(4), we have
\(\begin{gathered} 15x+25y=145 \\ -(15x+9y=81) \end{gathered}\)We get:
\(16y=64\)Dividing both sides by 16, we get
\(\begin{gathered} \frac{16y}{16}=\frac{64}{16} \\ \\ y=4 \end{gathered}\)To find x, we shall substitute 4 for y in eqn(1):
\(\begin{gathered} 5x+3(4)=27 \\ 5x+12=27 \end{gathered}\)Collecting the like terms, we get
\(\begin{gathered} 5x=27-12 \\ 5x=15 \end{gathered}\)Dividing both sides by 5, we get
\(\begin{gathered} \frac{5x}{5}=\frac{15}{5} \\ \\ x=3 \end{gathered}\)Therefore, the price of a citron is 3 units, and the price of a fragrant wood apple is 4 units.
CalculatorAC
2 two angles are supplementary. The
measure of one angle is 9 times the
measure of the other angle. What is the measure of the smaller angle
Answers
Answer:
18 degrees heres youre answer!
Step-by-step explanation:
If Angle 1 is x, and Angle 2 is 9x (because one angle is 9 times as large as the other), then x + 9x = 180. Add like terms: 10x = 180. solve for x by dividing both sides by 10. Therefore, x = 18 degrees = smaller angle.
Does anyone know how to solve this?
Answers
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
Solve for n
4 + ( n + 10) = 25
Answers
Answer:
n = 11
Step-by-step explanation:
Hi there
4 + ( n + 10) = 25
n = 25 - 4 - 10
n = 21 - 10
n = 11
Good luck !
Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs 4 laps on a running trail and then runs 8 more miles. On Tuesday and Sunday, she runs 6 laps on the trail and then runs 4 more miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?
Lilliana runs ??? laps on Saturday.
Answers
Answer: 17 3/4
Step-by-step explanation: because yes
Answer:
Actualy 17 3/4 is incorrect ( she actualy ran 8 laps on saturday)
Step-by-step explanation:
I dont feel like typeing out my math but i am correct because I had this same question on my homework.
This element orients readers by previewing the structure of the report.
O Definitions of key terms
O Organization
O Sources and methods
Answers
The element that orients readers by previewing the structure of the report is "Organization."
Organizing a report effectively helps readers understand the flow of information and the logical structure of the content. By providing an overview of the organization, readers can anticipate the main sections, their sequence, and the connections between them.
The organization element typically includes headings, subheadings, and a clear hierarchy of information. It outlines the main sections and subsections of the report, indicating how they are related and how they contribute to the overall message or argument.
In addition to the organization element, the other options listed—Definitions of key terms and Sources and methods—also play important roles in a report. Definitions of key terms clarify terminology and provide a common understanding, while Sources and methods explain the sources of information and the methods used in the report's research or analysis. However, in the context of previewing the structure, the Organization element specifically serves this purpose.
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Find the sum of the series.
[infinity] (−1)nπ2n
n=0
62n(2n)!
Answers
As per the Maclaurin series, the value of the function is written as 2.8521
The term Maclaurin series is defined as a function that has expansion series that gives the sum of derivatives of that function.
Here we have given that the function is \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)
And we need to find the sum of series by using the Maclaurin series as
Now, the sum of series is calculated as,
=>f(n) = \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)
When we put the value on n = 0, then we get,
=> f(0) = [1 x 3.14]/1] = 3.14
Now, we have to put the value of the function, the value of x as 1,
Then we get,
=> f(1) = [-1 x 9.8596] / [16 x 2]
=> f(1) = -0.308
And then we have to put the value of function for the value of x as 2,
Then we get,
=> f(2) = [1 x 30.959] / [64 x 24]
=> f(2) = 0.0201
Then the sum of the series is
=> 3.14 - 0.308 + 0.0201
=> 2.8521
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Doing push ups is an example of
Answers
Answer:
Muscular strength and muscular endurance
Step-by-step explanation:
you are using strength to push up your body and you are using the muscular endurance because you are doing it over and over again
what are the zeros of this function. f(x)=x^2+3x-40
Answers
By solving the given equation f(x) = \(x^{2} +3x-40\), the zeroes are -3 and 5.
To solve the given equation we have to do the factorization.
What is factorization: Factorization is the method of writing numbers as the product of their factors or divisors. In other words, we can say finding what to multiply together to get an expression.
To do the factorization, we have to follow the steps as shown below:
\(x^{2} +3x-40\) \(= 0\)
\(-40 = 8 * -5\\\) [ multiplication of 8 and -5 is -40]
\(x^{2}+8x-5x -40\) \(= 0\)
\(x(x+8) -5(x+8)\) \(= 0\)
\((x-5)(x+8)\) \(= 0\)
\(x = 5\) and \(x = -8\) [ The roots or zeroes]
From the above solution, we can conclude that the zeros of the given function \(x^{2} +3x-40\) are 5 and -8.
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-2k-(-5)+1 combine like terms to create an equivalent expression
Answers
The resulting equivalent expression is -2k + 6
Equivalent expression.
Equivalent expression means an expressions that work the same even though they look different. If we said the two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
Given,
Here we have the expression -2k - (-5) + 1
Now, we have to combine the like terms and then we have to solve it in order to find the equivalent expression.
First, we have to write the given expression,
=> -2k - (-5) + 1
Here we know that (-) x (-) = (+), therefore, the given expression is rewritten as follows:
=> -2k + 5 + 1
Here the only like term is the constant 5 and 1, so, we have to combine these constant, the we get the expression like the following;
=> -2k + (5 + 1)
No, we have to add the constant in order to get the equivalent expression,
=> - 2k + 6
Therefore, the equivalent expression i s -2k + 6.
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Y’all I need help with this! Someone help me please and thank you! Can y’all like tell me the steps if possible! (Y=Mx+b)
Question:Y+2x=16
Answers
Answer:
y = -2x + 16
Step-by-step explanation:
y = mx + b
__________
y + 2x = 16
y + 2x - 2x = 16 - 2x
y = -2x + 16
Answer:
Y=-2x+16
Step-by-step explanation:
PLS GIVE BRAINLIEST
25x10 to the power of 6
Answers
Answer: 2.44E^14
Step-by-step explanation:
So first you multiply 25 x 10 which would get you 250. Then now since you have 250 you put that to the sixth power.
25x10=250
250^6
2.44E^14
graph the system of inequalities
Answers
Answer:
2x+y>4 for all set of points which lies above the line 2x+y=4.
x+y<3 for all set of points which lies below the line x+y=3
solution is shaded part.
Step-by-step explanation:
\(I \: hope \: its \: helpful \: for \: you\)
How do you write 78%as a fraction
Answers
Answer:
39/50
Step-by-step explanation:
225,165 people visited Korina's website on Saturday. On Sunday, the number of visitors decreased by 1,000. How many people visited Korina's website on Sunday?
Answers
As the number of people visiting each day is the same 404 people visited on Sunday.
We have,
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.
As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,
= (1212/3).
= 404.
So, On Sunday 404 visitors were there.
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complete question:
The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday
What is the probability that at least 2 of a group of 4 persons were born on the same day of the week?
Answers
First, let's find the total number of possible ways that the four people could have been born on different days of the week. For the first person, any day of the week is possible. For the second person, there are 6 days of the week left to choose from (since one day has already been taken). For the third person, there are 5 days of the week left to choose from, and for the fourth person, there are 4 days of the week left to choose from. Therefore, the total number of ways that the four people could have been born on different days of the week is:
7 × 6 × 5 × 4 = 840
Now, let's find the total number of possible ways that the four people could have been born on any day of the week (without any restrictions). For each of the four people, there are 7 possible days of the week that they could have been born on. Therefore, the total number of possible ways that the four people could have been born on any day of the week is:
7 × 7 × 7 × 7 = 2401
Therefore, the probability that no two people were born on the same day of the week is:
840/2401 ≈ 0.35
And the probability that at least two people were born on the same day of the week is:
1 - 0.35 = 0.65
So there is a 65% chance that at least two people in the group of four were born on the same day of the week.
1. This week Henry spent 14 hours playing basketball and 7 hours playing
soccer. What is the ratio of hours spent playing basketball to the hours
spent playing soccer?
Answers
Answer:
2:1
Step-by-step explanation:
14:7
14÷7 : 7÷7
2 : 1
You are starting a family pizza parlor and need to buy a motorcycle for delivery orders. You have two models in mind. Model A costs $8,600 and is expected to run for 6 years; Model B is more expensive, with a price of $15,100, and has an expected life of 10 years. The annual maintenance costs are $840 for Model A and $690 for Model B. Assume that the opportunity cost of capital is 10 percent. Calculate equivalent annual costs (EAC) of each models. (Do not round the discount factor. Round intermediate calculations and final answers to 2 decimal places, e.g. 15.25.)
Answers
The equivalent annual cost (EAC) of Model A is $2,332.60, while the EAC of Model B is $2,094.81. The EAC represents the annual cost of owning and operating the motorcycle over its expected life, taking into account the initial cost, annual maintenance costs, and the opportunity cost of capital.
To calculate the EAC, we use the formula:
EAC = (C + (M × A)) × D
Where:
C = Initial cost
M = Annual maintenance cost
A = Annuity factor
D = Discount factor
For Model A, the initial cost is $8,600 and the annual maintenance cost is $840. The expected life of the motorcycle is 6 years, so the annuity factor is calculated as follows: A = (1 - (1 + r)^(-n)) / r, where r is the discount rate (10% or 0.10) and n is the number of years (6). The annuity factor for Model A is 4.1119. The discount factor is calculated as (1 + r)^(-n), which is 0.5645. Plugging these values into the formula, we get EAC = ($8,600 + ($840 × 4.1119)) × 0.5645 = $2,332.60.
For Model B, the initial cost is $15,100 and the annual maintenance cost is $690. The expected life of the motorcycle is 10 years, so the annuity factor is calculated as A = (1 - (1 + r)^(-n)) / r, where r is 0.10 and n is 10. The annuity factor for Model B is 7.6068. The discount factor is calculated as (1 + r)^(-n), which is 0.3855. Plugging these values into the formula, we get EAC = ($15,100 + ($690 × 7.6068)) × 0.3855 = $2,094.81.
Therefore, the equivalent annual cost for Model A is $2,332.60 and for Model B is $2,094.81. Based on these calculations, Model B has a lower EAC and would be the more cost-effective choice for the family pizza parlor in terms of annual costs.
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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472.
Find the substance’s half-life, in days. Round your answer to the nearest tenth.
Answers
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.
The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:
t = (0.693 / k)
where t is the half-life and k is the decay constant.
In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.
t = (0.693 / 0.1472) ≈ 4.7 days
Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.
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Please Help!!!!!
You will be deeply appreciated
I need this for a test!
Answers
Answer:
C. 99
Step-by-step explanation:
The number are all less than 50 and then there is only one number that is greater than 50. The number is 99. Because it is a number that is not close to the average numbers at all, it is the outlier.
If this answer has helped you, please mark as brainliest
Answer:
C. 99
Step-by-step explanation:
an outlier is a number that is dralastically diffrent then the rest
Give an ϵ/N proof that limn→[infinity](√n+2−√n)=0
Answers
The given statement " limn→infinity=0 using an ϵ/N " is true and proved by showing that for any given ϵ > 0, there exists an N such that if n > N, then |√n+2−√n| < ϵ.
Let ϵ > 0 be given. We want to find an N such that |√n+2−√n| < ϵ for n > N.
First, we can simplify |√n+2−√n| as follows:
|√n+2−√n| = |(√n+2−√n) * (√n+2+√n) / (√n+2+√n)| = |(n+2−n) / (√n+2+√n)| = 2 / (√n+2+√n)
Now, we need to find an N such that 2 / (√n+2+√n) < ϵ for n > N. Multiplying both sides by (√n+2−√n), we get:
2 < ϵ(√n+2+√n)
2/ϵ < √n+2+√n
Squaring both sides, we get:
4/ϵ^2 < n+2+2√n(n+2)+n
4/ϵ^2 < 2n+2√n(n+2)
n > (4/ϵ^2 - 2)/(2√n+2)
Since we want n > N, we can choose N to be any integer greater than or equal to (4/ϵ^2 - 2)/(2√N+2). Then, for any n > N, we have:
n > (4/ϵ^2 - 2)/(2√n+2)
2 / (√n+2+√n) < ϵ
|√n+2−√n| < ϵ
This completes the proof.
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I need help plz will give brainliest alos need how u got the answer
Answers
Answer: B. x = 16/3
3/5x + 1/2 = 3/4x -3/10
minus 3/4x on both sides
-3/20x + 1/2 = -3/10
minus 1/2 on both sides
-3/20x = -3/10
multiply both sides by 20/-3
x = 16/3
Answer:
B) \(x=\frac{16}{3}\)
Step-by-step explanation:
\(\frac{3}{5}x+\frac{1}{2}=\frac{3}{4}x-\frac{3}{10}\)
\(\frac{12}{20}x+\frac{10}{20}=\frac{15}{20}x-\frac{6}{20}\)
\(\frac{10}{20}=\frac{3}{20}x-\frac{6}{20}\)
\(\frac{16}{20}=\frac{3}{20}x\)
\(16=3x\)
\(\frac{16}{3}=x\)
Therefore, your answer is B) \(x=\frac{16}{3}\)
(10-1)(10-2)(10-3)(10-10)
Answers
Answer:
0
Step-by-step explanation:
9 × 8 × 7 × 0
anything that is multiplied by 0 equals to 0
step by step
-5x-y=12
x+y=4
-6x+9y=11
Answers
Answer:
1. x = -12+y / 5 , y = -12-5x
2. x = 4 - y , y = 4 - x
3. x = -11 - 9y / 6 , y = 11 + 6x / 9
( for the numbers in fractions such as the x value for #1 and x & y value for #3, put the negative sign in front of the fraction, not the number okay? )
Step-by-step explanation:
-5x - y = 12---> -5x - y = 12 -5x - y = 12
= -5x - y = 12 = +5x +5x
+y +y ---------------------
--------------------- -y = 12 + 5x
-5x = 12 + y /-1 /-1
/-5 /-5 ----------------------
--------------------- y = -12-5x
x = -12+y / 5
-------------------------------------------------------------------------------------------
x + y = 4---> x + y = 4 x + y = 4
= -y -y = -x -x
--------------------- ----------------
x = 4 - y y = 4 - x
--------------------------------------------------------------------------------------------
-6x + 9y = 11-----> -6x + 9y = 11 -6x + 9y = 11
= -9y -9y = +6x +6x
------------------------------ ------------------------
-6x = 11 - 9y 9y = 11 + 6x
/-6 /-6 /9 /9
------------------------------- --------------------------
x = -11 - 9y / 6 y = 11 + 6x / 9
Levi is going to see a movie and is taking his 5 kids. Each movie ticket costs $14 and there are an assortment of snacks available to purchase for $4 each. How much total money would Levi have to pay for his family if he were to buy 6 snacks for everybody to share? How much would Levi have to pay if he bought x snacks for everybody to share?
Answers
Answer:
Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)
Step-by-step explanation:
answer plsss answer plss
Answers
Answer:
b 2，3，8
Step-by-step explanation:
Y=234678
Z=278910
X=12358
234678910 n 12358
=238
Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x)).
Answers
Answer:
We conclude that:
g(f(x)) = -3x+3
Step-by-step explanation:
Given
f(x) = 3x-3g(x) = -xTo determine
g(f(x)) = ?In order to determine g(f(x)), first we need to substiute f(x) = 3x-3 in g(f(x)).
g(f(x)) = g(3x-3)
now substitute x = 3x-3 in g(x)
= -(3x-3)
= -3x+3
Therefore, we conclude that:
g(f(x)) = -3x+3
Fractor 32V - 72
Write your answer as a prouduct with a whole number greater than the number 1 ?
This is a Chalange you will resieve 25 gold coins if you answer this Question weather it is right or wrong. You will also resive a thanks heart and poupularity heart and a friend request.
Answers
Answer:
Answer:::::1 only ...I think
Solve for X.
2x + 2 = 3(X - 4)
Answers
Answer:
Step-by-step explanation:
Distribute
2x + 2 = ( 3x - 4 )
= 2x+2= 3x - 12
Subtract 2 from both sides
2x + 2 = 3x - 12
-2 -2
Simplify
2x = 3x - 14
Subtract 3 from both sides
2x = 3x - 14
-3x -3x
Simplify
-x = -14
Divide both sides by the same factor
-x ÷ -1 = -14 ÷ -1
Answer
x = 14
Which of the following is a way that the liability of foreignness manifests?
a. Reduction of language barriers
b. Similarities of formal and informal institutions
c. Adoption of VIRO
d. Discrimination against foreign firms
Answers
The correct answer is option (d). Discrimination against foreign firms.
The liability of foreignness refers to the challenges and disadvantages that foreign firms face when operating in a new country or market. These challenges can manifest in a variety of ways, including cultural differences, legal and regulatory barriers, and discrimination against foreign firms.
Discrimination against foreign firms is a common way that the liability of foreignness manifests. This can include discriminatory policies or practices that make it difficult for foreign firms to compete with domestic firms. For example, a government may impose higher taxes or tariffs on foreign firms, or require foreign firms to meet stricter regulatory requirements than domestic firms. Discrimination can also come in the form of cultural bias or prejudice against foreign firms, which may make it difficult for them to establish relationships with local customers and partners.
In contrast, the other answer choices are not ways that the liability of foreignness manifests. Reduction of language barriers and similarities of formal and informal institutions may actually reduce the liability of foreignness, while adoption of VIRO (Valuable, Rare, Inimitable, and Organized) is a framework for analyzing a firm's competitive advantage and is not directly related to the liability of foreignness.
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