I need help rq
what is the x-coordinate of the solution to the following system of equations?
x - 2y = 2
3x + y = 6
a) x= -2
b) x=0
c) x= 2
d) x= 3
Answers
We have the system of equations:
x - 2y = 2
3x + y = 6
From equation 1 we express y.
x - 2y = 2
We pass the addend with the variable x from the left to the right and change the sign.
-2y = 2 - x
We divide both parts of the equation by the multiplier of y.
\(\dfrac{(-1)2y}{-2}=\dfrac{2-x}{-2}\)
\(y=\dfrac{x}{2}-1\)
We put the result y in equation 2.
3x + y = 6
We obtain:
\(3x+\left(\dfrac{x}{2}-1\right)=6\)
\(\dfrac{7x}{2}-1=6\)
We pass the free addend -1 from the left to the right, changing the sign.
\(\dfrac{7x}{2}=1+6\)
\(\dfrac{7x}{2}=2\)
We divide both parts of the equation by the multiplier of x.
\(\dfrac{\frac{7}{2}x }{\frac{7}{2} }=\dfrac{7}{\frac{7}{2}}\)
\(x=2\)
What
\(y=\dfrac{x}{2}-1\)
then
\(y=-1+\dfrac{1}{2}\cdot2\)
\(y=0\)
Answer:
y = 0x = 2Therefore, the correct option is C.
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Related Questions
¿Cuál es la edad de Jimena? Si su papá tiene 27 años más que ella y su mamá tiene 34 años . Además se sabe que la suma de las tres edades es igual a la diferencia de 10 veces la edad de Jimena, menos 3 años.
Answers
Answer:
Jimena tiene 8 años de edad.
Step-by-step explanation:
Sean \(x\), \(y\), \(z\) las edades de Jimena, su padre y su madre. A continuación, traducimos cada oración relevante del enunciado a expresiones matemáticas:
(i) Si su papá tiene 27 años más que Jimena:
\(y = x+27\) (1)
(ii) Su mamá tiene 34 años:
\(z = 34\) (2)
(iii) La suma de las tres edades es igual a la diferencia de 10 veces la edad de Jimena, menos 3 años:
\(x+y+z = 10\cdot x-3\) (3)
Al aplicar (1) y (2) en (3), tenemos la siguiente ecuación resultante:
\(x +(x+27)+34 = 10\cdot x-3\)
\(2\cdot x +61=10\cdot x-3\)
\(8\cdot x = 64\)
\(x = 8\)
Jimena tiene 8 años de edad.
7. Which relations represent a function? Place a checkmark in the box for all that apply.
x
2
0
1
2
3
4
4
5
3
{(-4, 2), (-1, -7),
(0,5), (5, 2)}
y
-1
0
5
5
-1
7
9
00
X
у
-4
-7
-2
3
5
Answers
Answer:
Step-by-step explanation:
The relation in the picture is a function
Kira has more in her savings account than Alan has in his. The sum of their savings is $89. The difference is $12. How much is in Alan's account?
Answers
Answer:
In the Alan account is 77$
Step-by-step explanation:
The answer is 77$ because the sum of their savings is $89 and the difference is $12 you have to substract 89-12 and the result is 77$.
The money saved in Alan's savings account is $38.5.
Given that, Kira has more in her savings account than Alan has in his.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let the money in Kira's savings account be x and the money in Alan's savings account be y.
The sum of their savings is $89.
So, x+y=89 --------(I)
The difference is $12
So, x-y=12 --------(II)
Add equation (I) and (II), we get
x+y+x-y=89+12
⇒ 2x=101
⇒ x=$50.5
Substitute x=50.5 in equation (I) and simplify, we get
50.5+y=89
⇒ y=89-50.5
⇒ y=$38.5
Therefore, the money saved in Alan's savings account is $38.5.
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In the model, two of the flagpoles are 4 inches apart. How far apart will they be when they are installed?
Answers
ANSWER
36 feet
EXPLANATION
We are given that the scale of the model is 1 inch to 9 feet.
The two flagpoles are 4 inches apart in the model.
To find the distance between them when they are installed, we have to use ratio/proportion.
Let the distance between them be x.
We have that from the scale:
1 inch = 9 feet
=> 4 inches = x feet
Now, we can cross-multiply:
\(\begin{gathered} 1\cdot x=4\cdot9 \\ \Rightarrow x=36\text{ feet} \end{gathered}\)Therefore, the distance between them when they are installed is 36 feet.
Pls help me !!!!!!!!!!
Answers
Answer:
1. (a+b)²/a.b/(a+b)(a-b)
what is 3n+2(−2n−1)
Answers
Answer:
-n-2
Step-by-step explanation:
First, you need to distribute the 2 on the -2n and -1. So multiply the 2 by -2n and -1. You get = -4n-2.
You still have the 3n, so the equation will now look like: 3n-4n-2.
Combine like terms. 3n-4n= -1n or just -n.
Now you have -n-2.
In a class of 200 pupils, 60% passed in an examination. How many failed?
Answers
Answer:
80 pupils
Step-by-step explanation:
60% of 200 is 120
200 - 120 is 80.
=80
∴80 pupils failed
B? Submit your answer as a percentage and round to two decimal places (Ex. 0.00hi) ation of 22%. If the correlation befween A and B is 0.93, what lis the expected roturn for a portsolio comprised of 60 percent Asset A and 40 percent Asset
Answers
In this case, Asset A has a return of 16% and represents 60% of the portfolio, while Asset B has a return of 22% and represents 40% of the portfolio. The correlation between Asset A and B is given as 0.93.
To calculate the expected return of the portfolio, we use the following formula:
Expected Return = (Weight of Asset A * Return of Asset A) + (Weight of Asset B * Return of Asset B) + (2 * Weight of Asset A * Weight of Asset B * Correlation between A and B * Standard Deviation of Asset A * Standard Deviation of Asset B)The expected return for a portfolio composed of two assets, A and B, can be calculated using the weighted average of the individual asset returns, considering their respective weights in the portfolio.
By plug in the given values and performing the calculations, we can determine the expected return for the portfolio comprised of 60% Asset A and 40% Asset B.
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The total cost of a $70.42 meal after a 20% tip
$
Answers
Answer:
$84.50
Step-by-step explanation:
Answer:
$84.504
Step-by-step explanation:
20% of 70.42 is 14.08, 14.08 plus 70.42 is 84.504
0 points possible (ungraded) The 1-year risk-free interest rate of investments in US dollars is rUSD=1.91%. The 1-year risk-free interest rate of investments in Canadian dollars is rCAD=3.79%. The current (spot) exchange rate between the two currencies is 1.49: the price of 1 USD is 1.49 CAD. The 1-year forward price of 1 USD is 1.41 CAD. You can trade in 1-year risk-free discount bonds denominated in both US and Canadian dollars, in the forward contract to buy 1 USD 1 year from now, and in the spot foreign exchange market, where you can buy and sell USD. Consider the following strategy: 1. Borrow x USD at 1.91% today, which means that the total loan repayment obligation after a year would be (1+1.91%)x USD. 2. Convert y USD into CAD at the spot rate of 1.49. 3. Lock in the 3.79% rate on the deposit amount of 1.49y CAD, and simultaneously enter into a forward contract that converts the full maturity amount of the deposit into USD at the one-year forward rate of USD =1.41 CAD. 4. After one year, settle the forward contract at the contracted rate of 1.41. Suppose the above arbitrage strategy generates 100 USD today and nothing otherwise. Solve for x and y values. (a) 0.0/2.0 points (graded) (a) x= US dollars Save You have used 0 of 2 attempts (b) 0.0/2.0 points (graded) (b) y= US dollars
Answers
The solution to the given problem is given by
(a) x = 202.2921 USD
(b) y = 95.8132 USD
To solve for the values of x and y in the given arbitrage strategy, let's analyze each step:
1. Borrow x USD at 1.91% today, with a total loan repayment obligation after one year of (1+1.91%)x USD.
2. Convert y USD into CAD at the spot rate of 1.49. This gives us an amount of y * 1.49 CAD.
3. Lock in the 3.79% rate on the deposit amount of 1.49y CAD. After one year, the deposit will grow to \((1+3.79\%) * (1.49y) CAD.\)
4. Simultaneously, enter into a forward contract that converts the full maturity amount of the deposit into USD at the one-year forward rate of USD = 1.41 CAD.
The strategy generates 100 USD today and nothing otherwise. We can set up an equation based on the arbitrage condition:
\((1+1.91\%)x - (1+3.79\%) * (1.49y) * (1/1.41) = 100\ USD\)
Simplifying the equation, we have:
\((1.0191)x - 1.0379 * (1.49y) * (1/1.41) = 100\)
Now we can solve for x and y by rearranging the equation:
\(x = (100 + 1.0379 * (1.49y) * (1/1.41)) / 1.0191\)
Simplifying further:
\(x = 99.0326 + 1.0379 * (1.0574y)\)
From the equation, we can see that x is dependent on y. Therefore, we cannot determine the exact value of x without knowing the value of y.
To find the value of y, we need to set up another equation. The total amount in CAD after one year is given by:
\((1+3.79\%) * (1.49y) CAD\)
Setting this equal to 100 USD (the initial investment):
\((1+3.79\%) * (1.49y) * (1/1.41) = 100\)
Simplifying:
\((1.0379) * (1.49y) * (1/1.41) = 100\)
Solving for y:
\(y = 100 * (1.41/1.49) / (1.0379 * 1.49)\\\\y = 100 * 1.41 / (1.0379 * 1.49)\)
\(y = 95.8132\ USD\)
Therefore, the values are:
(a) \(x = 99.0326 + 1.0379 * (1.0574 * 95.8132) ≈ 99.0326 + 103.2595 ≈ 202.2921\ USD\)
(b) \(y = 95.8132\ USD\)
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Adele made cupcakes and brownies. The number of brownies she made is 4 times as many as the number of cupcakes she made. If she made 8 cupcakes, how many brownies did she make?
Answers
Answer: 32
Step-by-step explanation:
A video goes viral on social media, the number of views per day can be modeled with the equation y = -0.75x² +9.75x where is the number of days after the video is posted and y is the number of views per day in thousands. According to the model, after how many days do people stop watching the video?
Answers
Answer:
Step-by-step explanation:
To find when people stop watching the video, we need to find the maximum point of the quadratic function y = -0.75x² + 9.75x.
The x-coordinate of the maximum point of a quadratic function can be found using the formula x = -b/2a, where a and b are the coefficients of the quadratic function.
Using the formula with a = -0.75 and b = 9.75, we get:
x = -9.75 / 2(-0.75)
x = -9.75 / -1.5
x = 6.5
Therefore, the maximum number of views per day will occur on the 6.5th day after the video was posted.
To determine when people stop watching the video, we need to check the values of y after this point.
When x > 6.5, the quadratic function becomes negative, which means that the number of views per day will start to decrease. Therefore, people stop watching the video after 6.5 days (or sometime around the 7th day).
No links need help ASAP
Answers
Answer:
4, 2
Step-by-step explanation:
The formulas for 180 clockwise and counterclockwise wise is -x,-y since both of them are negative they would become positive because -x * -x = + same with y.
Answer: (4, 2)
Step-by-step explanation:
If you start by moving it 45 degrees counter clockwise, it will end up as
(4, -2). Then you move it one more time counter clockwise 45 degrees. T would be at (4, 2)
please i need help quick
Answers
Answer:
2.
a. 13
b. 7
c. 24
d. 85
Step-by-step explanation:
PLEASE HELP!!!
BRAINLIEST TO CORRECT ANSWER!!!
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
Answer the questions to solve the problem.
1: How many students did the teacher survey?
2: What is the Relative Frequency of a student choosing the aquarium?
(Give answer as a decimal rounded to the nearest hundredth - Show your work)
3: The teacher surveys one student at random. Based on the survey results, what is the estimated probability that the student will choose the aquarium?
4: Write and solve a proportion that the teacher can use to estimate how many students in the WHOLE school would choose the aquarium. (Show your work)
PLEASE HURRY!!!!
Answers
Answer:
See below ~
Step-by-step explanation:
Q1
Number of students surveyed = 80 + 60 + 30 + 40Number of students surveyed = 140 + 70Number of students surveyed = 210Q2
Relative Frequency (aquarium) = 80/210 = 8/21Relative Frequency (aquarium) = 0.38Q3
P (aquarium) = 80/210 = 8/21P (aquarium) = 38.1%Q4
Let x be the number of students in the whole school who would choose the aquarium. Then, the proportion would be :x/1000 = 8/21x = 8000/21x = 381 students (nearest whole number)Can yall help me with this? Thanks!
Answers
Answer:
3π
Step-by-step explanation:
The arc length is just a fraction of the circumference of the circle which we know is represented by the equation L=2πr.
The radius is given ad 6. So the circumference is:
2*π*6=12π
Now, since the angle of the arc is 90°, this is 1/4 of the circle.
This means that the arc length of this section will be 1/4th of the total circumference which is:
12π/4=3π
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
A
Step-by-step explanation:
120 is the starting value, aka the price of the painting in 2014 before it is increased.
If there are 4 boys and 6 girls write each of the following as a ratio: boys to girls and girls to people.
Answers
Answer:
Boys to girls: 2:3
Girls to people: 3:5
Step-by-step explanation:
Boys to Girls: In this ratio, the boys come first and then the girls. There are 4 boys and 6 girls, making the ratio 4:6. However, we can simplify it to 2:3, as the two numbers have a GCF of 2.
Girls to People: In this ratio, the girls come first and then the total number of people. There are 6 girls and a total of 10 people, making the ratio 6:10. However, we can simplify it to 3:5, as the two numbers have a GCF of 2.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Solve the following simultaneous equations 2x+5y=0 and 3x-4y=23
Answers
Answer:
x = 5, y = -2
Step-by-step explanation:
2x + 5y = 0 --- Equation 1
Equation 1×3: 6x + 15y = 0 --- Equation 2
3x - 4y = 23 --- Equation 3
Equation 3×2: 6x - 8y = 46 --- Equation 3
We will be eliminating 6x from Equation 2.
Equation 3-2: 6x - 8y - 6x - 15y = 46-0
-23y = 46
y = 46 ÷ -23
y = -2
Substitute y = -2 into Equation 1:
2x + 5y = 0
2x + 5(-2) = 0
2x + (-10) = 0
2x - 10 = 0
2x = 10
x = 10 ÷ 2
x = 5
What is the Roman number of 500 and 1000?
Answers
Answer:
500=D 100=M
Step-by-step explanation:
I hope that helps :D
True or false: The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset. True false question. True
Answers
Answer:
true
Step-by-step explanation:
Which expression is equivalent to -0.62u+u+ 0.89u?
0.51u
Ou + 0.27
Submit Answer
1.27u
O 1+ 0.27
Answers
Answer:
\(⚪ \: \: 1.27 \: u\)
Step-by-step explanation:
\( - 0.62u + u + 0.89u \\ = ( - 0.62 + 1 + 0.89)u \\ = 1.27u\)
(−6x−2)+(6x
2
−5x−10)
Answers
Answer:
6x^2 - 11x - 12
Step-by-step explanation:
(-6x-2)+(6x^2-5x-10)
6x^2 - 11x - 12
9/6 divided 1/2 can somebody help please
Answers
Answer:
Step-by-step explanation:
\(\frac{9}{6}\) ÷ \(\frac{1}{2}\) = 3
it’s due in 5 mins pleases helppppp!!!
Answers
Answer:
I don't understand what to do
nothing to hard just please give correct answer!!
Answers
The equation of the first graph is
y > 2x - 4
The equation of the first graph is
y ≥ -x + 4
How to get the equations of the linesThe graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
The slope is represented as m, The slope by definition is the ratio change of the output values to the input values
the slope, m calculating using the points on the graph (0, -4) and (2, 0)
m = (y₀ - y₁) / (x₀ - x₁)
m = (-4 - 0) / (0 - 2)
m = (-4) / (-2)
m = 2
c = y intercept, from the graph
c = -4
The equation of the line is y = 2x - 4
shading above the line is greater than and dotted lines means it does not have equal to
hence y > 2x - 4
for the second graph
the slope, m calculating using the points on the graph (0, 4) and (4, 0)
m = (y₀ - y₁) / (x₀ - x₁)
m = (4 - 0) / (0 - 4)
m = (4) / (-4)
m = -1
c = y intercept, from the graph
c = 4
The equation of the line is y = -x + 4
shading above the line is greater than and solid lines means there is equal to in the inequality
hence y ≥ -x + 4
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|x-4|=6x+16 solve equation please
Answers
Step-by-step explanation:
|x-4|=6x+16 To find the absolute value :
x - 4 = 6x + 16 or x - 4 = -6x - 16 for first equation
x - 4 = 6x + 16 export like terms to the same side of the equation
-4 - 16 = 6x - x (The terms chages signs from negative to positive and from positive to negative when exported to the other sideof the equation)
-20 = 5x divide by 5
-4 = x
For the second equation
x - 4 = -6x - 16 export like terms to the same side of the equation
x + 6x = -16 + 4
7x = -12
x = 1.7 approximately
A researcher claims that 45% of students drop out of college. She conducts a hypothesis test and rejects the null hypothesis. What type of error could have been committed here?
A.
Power of the test
B.
Type II
C.
There are never errors in hypothesis testing
D.
Type I
Answers
The type of error that could have been committed in this scenario is a Type I error.
In hypothesis testing, a Type I error occurs when the null hypothesis is rejected, even though it is true. It means that the researcher incorrectly concludes that there is a significant result or effect when there is actually no real effect present in the population. In this case, if the researcher rejects the null hypothesis that the dropout rate is 45% and concludes that it is different, she might be committing a Type I error if the null hypothesis is actually true.
A Type II error, on the other hand, occurs when the null hypothesis is not rejected, even though it is false. It means that the researcher fails to detect a significant result or effect when there is actually a real effect present in the population. The question states that the null hypothesis is rejected, so a Type II error is not relevant in this situation.
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in the united states, 44% of adults have type O blood. You will choose 32 US adults at random until you find one with type O blood. What is the probability. a It takes 4 people to find one with type O blood
Answers
The probability that it takes 4 people to find one with type O blood is approximately 0.0938 or 9.38%.
What are the three kinds of probability?Probability is classified into three types:
Classical: (equally probable outcomes) (equally probable outcomes).Definition of Relative Frequency.Probability that is subjective.A randomly selected US adult has a 44% chance of having type O blood. This probability is denoted by the letter p.
The likelihood that the first person you choose does not have type O blood is 1-p (or 56% in this case).
To calculate the probability that it takes exactly four people to find one with type O blood, multiply the odds of the first three people not having type O blood (1-p) by the odds of the fourth person having type O blood (p).
As a result, the likelihood is:
(1-p) * (1-p) * (1-p) * p
= (0.56) * (0.56) * (0.56) * (0.44) (0.44)
= 0.0938
As a result, the probability of finding someone with type O blood is approximately 0.0938, or 9.38%.
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Figure ABC has been dilated using a scale factor of 1/2 to produce figure A' B' C'. the origin is at the center of dilation
Answers
The third choice is the one that describes this dilation.