What are the solutions of the system?
Sy=2x+6
\y= r2 +5 +6
O (0, -3) and (6, 0)
O(-3,0) and (-2, 0)
O (-3, 0) and (0, 6)
O
(0, 6) and (-2, 0)
ہے
1 2

What Are The Solutions Of The System?Sy=2x+6\y= R2 +5 +6O (0, -3) And (6, 0)O(-3,0) And (-2, 0)O (-3,

Answers

Answer 1

The solution to the system is {eq}(x, y) = (2, 1){/eq}. For the given system, we have the solutions (-3, 0) and (0, 6).

To solve a system of equations, we must find the value of each variable that satisfies both equations. One of the most common methods for solving systems of equations is called substitution.

In substitution, we solve for one variable in one equation and then plug that expression into the other equation.

For example, if we have the system {eq}2x + y = 5,

\quad 4x - y = 7 {/eq},

we can solve for y in the first equation: {eq}y = 5 - 2x {/eq} Then we substitute this expression for y into the second equation:

{eq}4x - (5 - 2x) = 7 {/eq}

Simplifying gives {eq}6x = 12 {/eq}, or {eq}x = 2 {/eq} Once we have a value for one variable, we can substitute it into either equation to find the value of the other variable.

Using {eq}y = 5 - 2x {/eq}, we have {eq}y = 5 - 2(2) = 1 {/eq}These solutions represent the values of x and y that satisfy both equations in the system. To check,

we can substitute each solution into both equations to ensure they are valid. If both equations are satisfied, then we have found the correct solutions.

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Related Questions

A restaurant used 231 eggs last week. 46 of them are colored white, w. The remaining eggs are colored brown. Write an equation that represents the situation. ( i will give you brainly)

Answers

Answer:

46 + W = 231

Step-by-step explanation:

Answer:

My guess: 231 = 46 + b

Step-by-step explanation: Because they didn't mention how many were colored brown, we would use a variable to represent them, in this case I use b. But we do know 46 of them were white. so the equation would simply be 231 = 46 + b. After you add 46 and b you will get the total to 231. You can find b from subtracting 231 to 46. Then add b to 46 and get the total of 231

The altitude perpendicular to the hypotenuse of a right triangle is 12 cm. Express the length of the hypotenuse as a function of the perimeter.

Answers

Let's denote the lengths of the legs of the right triangle as a and b, and the length of the hypotenuse as c. We are given that the altitude perpendicular to the hypotenuse is 12 cm.

Using the Pythagorean theorem, we have:

[tex]a^2 + b^2 = c^2[/tex]

The perimeter of the right triangle is given by:

Perimeter = a + b + c

We want to express the length of the hypotenuse (c) as a function of the perimeter.

Rearranging the equation for the perimeter, we have:

c = Perimeter - (a + b)

Substituting the equation for c into the Pythagorean theorem equation, we get:

[tex]a^2 + b^2[/tex] = (Perimeter - [tex](a + b))^2[/tex]

Expanding and simplifying, we have:

[tex]a^2 + b^2[/tex]= [tex]Perimeter^2[/tex] - 2Perimeter(a + b) +[tex](a + b)^2[/tex]

Simplifying further:

[tex]a^2 + b^2[/tex]= [tex]Perimeter^2[/tex]- 2Perimeter(a + b) + a^2 + 2ab + b^2

The terms with [tex]a^2[/tex] and [tex]b^2[/tex]cancel out, giving:

[tex]2ab = Perimeter^2 - 2Perimeter(a + b)[/tex]

Dividing both sides by 2, we have:

[tex]ab = (Perimeter^2 - 2Perimeter(a + b))/2[/tex]

[tex]ab = (Perimeter^2 - 2Perimeter(a + b))/2[/tex]

Now, since we are given that the altitude perpendicular to the hypotenuse is 12 cm, we know that:

ab = [tex]12^2 = 144[/tex]

We can solve this equation for either a or b, and then substitute the value into the expression for the hypotenuse (c):

For example, let's solve for a:

a = 144/b

Substituting this into the expression for c

c = Perimeter - (a + b)

c = Perimeter - (144/b + b)

Therefore, the length of the hypotenuse (c) can be expressed as a function of the perimeter.

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how to remove Dec in casio calculator?
0

Answers

Answer:

htgjyk

Step-by-step explanation:

The data from a survey of ages of people taking an exercise class was skewed to the left

Answers

Answer:

It is really hard to see the picture

Step-by-step explanation:

Could you also give the choices to the answers that are possible? It would help out a lot. Just lmk in the comments and then I will revise my answer :)

Answer:

Part A: The appropriate measure of center to describe the distribution of the data would be, median.

Part B: The appropriate measure of spread to describe the distribution of data would be, interquartile range.

Part C: The box plot represents the data. Calculate the appropriate measure of spread, IQR = 13

Got it right on math nation. Hope this helps!

gloria went to the mall and spent 50 minutes shopping

Answers

Answer:

11:00 AM+ 50 minutes= 11:50

11:50 AM+30 minutes= 12:20

Step-by-step explanation:

Gloria went to the mall and spent 50 minutes shopping. Then she had lunch for 30 minutes. If Gloria arrived at the mall at 11:00 A.M., at what time did she finish lunch?

if m < c = 147 , determine m < e

a) 147
b) 57
c) 33
d) 180


Answers

Answer:

c) 33

Step-by-step explanation:

We can calculate supplementary angles by subtracting the given angle from 180°. To find the other angle (in your case, ∠e), use the ∠y = 180° – ∠x where ∠x is the given angle.

Answer:

c)33

Step-by-step explanation:

The measures of two complementary angles are in the ratio of 2 : 7. Find the measurements of the two angles.

Answers

Answer: 20°  &  70°

Step-by-step explanation:

We know complementary angles will add up to 90° and we also know we can divide the total by 9 parts because our ratio is 2 parts to every 7 parts.

To find each individual part size...

9x=90

x=10

so use our ratio...

2x10=20  for first angle

7x10=70 for second angle

Make a bowl of Pho wit 3 ingredients that cost 14.50.
Will choose brainliest

Answers

Answer: $8 bowl, noodles, bean sprouts, beef

Step-by-step explanation:

Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in. D. 64 in.

Answers

Answer:

A) 36 inches

36 Incheon is the correct answer

Answer:

D.) 64pi in.³

Step-by-step explanation:

I got it right in quiz, trust me.

I hope this helps! ^^

25
119 degrees
13
Find the value of
X. Round to the
nearest 10th.

Answers

Answer:

30.5

Step-by-step explanation:

Look at the number line below. Tyhe number 2 is between 1 and 4 since 1 =1 and 4=2, that means that 2 must be between what two integers?

Answers

Answer: i dont know

Step-by-step explanation:

You school plans to collect at least 1500 pairs of socks for the homeless shelter. So far they have collected 183 pairs of socks. There are 4 days left of the sock drive. Write an inequality and solve to represent the average number of pairs of socks to be collected each of the last 4 days.

Answers

Answer: the amount of socks they will collect in four days is less than the amount of socks they plant to collect, in other words 915<1500 socks.

Step-by-step explanation:

If they collect 183 pairs of socks in one day, and there are four days left, then 183 x 5 = 915 (pairs of socks) in five days. They need to collect 1,500 pairs.

Charlotte started soccer practice at 5:30 pm. Practice lasted for 1 hour and 45 minutes. What time was practice over?

Answers

it ended at 7:15 PM

Answer:

7: 15

Step-by-step explanation:

It is important to understand that integral equations also arise from problems in differential equations. (a) For example, write the initial value problem dx = f(t, x), x(to) = xo dt as an integral equation and indicate what kind of equation it is. (b) Show that an initial value problem d²x dt² = f(t, x), x(to) = xo, x'(to) = x₁ involving a second order differential equation can be transformed into a Volterra integral equation

Answers

The Volterra integral equation:

x(t) - xo = ∫[to, t] y(s) ds

y(t) - x₁ = ∫[to, t] f(s, x(s)) ds

(a) To write the initial value problem dx = f(t, x), x(to) = xo dt as an integral equation, we can use the integral representation of the solution.

Let's consider the integral equation:

x(t) = xo + ∫[to, t] f(s, x(s)) ds

This integral equation is of the Volterra type, as it involves a definite integral and depends on the function x(s) evaluated over the interval [to, t].

(b) To transform the second-order initial value problem d²x/dt² = f(t, x), x(to) = xo, x'(to) = x₁ into a Volterra integral equation, we can introduce a new variable, y(t), defined as the derivative of x(t):

y(t) = dx/dt

Now, we can rewrite the second-order differential equation as a system of first-order differential equations:

dx/dt = y(t)

dy/dt = f(t, x)

To represent this system as an integral equation, we'll integrate both equations from to to t.

This yields:

x(t) - xo = ∫[to, t] y(s) ds

y(t) - x₁ = ∫[to, t] f(s, x(s)) ds

Combining these two equations, we obtain the Volterra integral equation:

x(t) - xo = ∫[to, t] y(s) ds

y(t) - x₁ = ∫[to, t] f(s, x(s)) ds

This integral equation is also of the Volterra type, involving definite integrals and depending on the functions x(s) and y(s) evaluated over the interval [to, t].

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(1 point) Find the square root of 8-2i so that the real part of your answer is positive. The square root is

Answers

The square root of 8 - 2i, with the real part of the answer being positive, is approximately 2.34 + 0.52i.

To find the square root of 8 - 2i, we can represent the complex number in its polar form and then apply the square root operation.

First, we calculate the magnitude (r) and argument (θ) of the complex number 8 - 2i:

Magnitude: |8 - 2i| = √([tex]8^2[/tex] + (-2[tex])^2[/tex]) = √(64 + 4) = √68 = 2√17

Argument: θ = arctan(-2/8) = arctan(-1/4) ≈ -0.24498 radians

Next, we express the complex number in polar form:

8 - 2i = 2√17 * (cos(-0.24498) + isin(-0.24498))

To find the square root, we take the square root of the magnitude and divide the argument by 2:

√(8 - 2i) ≈ √(2√17) * (cos(-0.24498/2) + isin(-0.24498/2))

Simplifying the expression:

√(8 - 2i) ≈ √(2√17) * (cos(-0.12249) + isin(-0.12249))

≈ 2.34 + 0.52i

Therefore, the square root of 8 - 2i, with the real part of the answer being positive, is approximately 2.34 + 0.52i.

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An item is priced at $13.75. If the sales tax is 7%, what does the item cost including sales tax?

Answers

Answer:

divide 7/100 which is 0.07

multiply that by 13.75, and you get 0.96

13.75+0.96= $13.20

(this is including sales tax)

Answer:

$12.78

Step-by-step explanation:

I THINK you are supposed to multiply the original price (13.75) by the sales tax as a decimal (0.07) and then subtract that answer from, the original, amount.

Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)

Answers

Answer:

x ≈ 9.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle, that is

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = [tex]\sqrt{93}[/tex] ≈ 9.6 (to the nearest tenth )

Please answer correctly! I will mark you Brainliest!

Answers

20-10=10

10-3=7

7cm

Then the volume is 7cm

Step-by-step explanation:

volume of cuboid=lbh =10*3*20 =600cm3

In a data set with a, b, c, d, e, and f numeric variables, given there are strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as:

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e

Given two predictor variables with correlation at 0.32879, we should expect there is multicollinearity between them.

Answers

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

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consider the following function and express the relationship between a small change in x and the corresponding change in y in the from dy = f^1 (x) dx.
f(x) = 2x^3-4x
dy= dx

Answers

For a small change in x (dx), the corresponding change in y (dy) is given by the equation dy = (6x² - 4)dx.

To find the relationship between a small change in x (dx) and the corresponding change in y (dy) for the function f(x) = 2x³ - 4x, we can differentiate the function with respect to x.

f(x) = 2x³ - 4x

Differentiating both sides with respect to x:

f'(x) = d/dx (2x³ - 4x)

f'(x) = 6x² - 4

Now, we can express the relationship between dx and dy in the form of dy = f'(x)dx:

dy = (6x² - 4)dx

Therefore, for a small change in x (dx), the corresponding change in y (dy) is given by the equation dy = (6x² - 4)dx.

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SOCCER PRACTICE BEGAN AT 2:30 P.M 3:30 P.M THROUGH WHAT FRACTION OF A CIRCLE DID THE MINUTE HAND TURN HOW MANY DEGREES DID THE MINUTE HAND TURN

Answers

Answer:

1 /1 ; 360°

Step-by-step explanation:

Start time = 2:30 pm

Stop time = 3:30 pm

Minute hand makes a complete revolution per hour ;

This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1

The angle turned by the minutes hand :

1 complete revolution = 360°

A circle covers 360°

1 /1 fraction of a circle = 1/1 * 360° = 360°

Hence, angle turned by the minute hand = 360°

What is the value of f(x) = 4x -9

Answers

Answer:

F= 1 /4 y+ 9 /4

Step-by-step explanation:

brainliest?

it takes 6 hours to travel 372 miles. How long will it take to travel 279 miles?

Answers

Answer:

4 hours and a half. 4 hours and 30 minutes

Step-by-step explanation:

Answer:

4hrs 30 minutes

Step-by-step explanation:

6hrs = 372miles

372 ÷ 6 = 62

1hr = 62 miles

62 x 4hrs = 248 miles

You need to 279 miles. 0.5 = 30 minutes.

What is x abc def

A. 45
B. 60
C. 75
D. 30

Answers

Answer:

C

Step-by-step explanation:

C. 75

60 + 45 = 105
180-105= 75

therefore 75 is your answer

Check for a significant change over first-time composite scores when a group of 30 high school seniors retake the Miller Analogies Test (MAT) after completing a Test Preparation Workshop; note that each student will have taken the MAT twice, once before and once following the workshop, and the scores are on a ratio scale.

Answers

The preparation workshop’s impact on first-time composite scores can be assessed by evaluating the scores of a group of 30 high school seniors who retake the Miller Analogies Test (MAT) after attending the workshop.

The MAT is taken twice by each student: once before the workshop and once after it. The scores are reported on a ratio scale.
To check if there has been a significant change in scores, the following steps can be followed:

Step 1: To determine the change in scores, subtract the scores obtained before the workshop from the scores obtained after the workshop.

Step 2: Calculate the average score change for the group of 30 students by dividing the sum of score changes by 30.

Step 3: Calculate the standard deviation of the score change by using the following formula:
SD = √[∑ (Xi - X)2 / (n - 1)]
where Xi is the individual score change, X is the average score change, and n is the number of students.

Step 4: Use a t-test to determine if the change in scores is statistically significant. If the t-value is greater than the critical value (using a 5% significance level and 29 degrees of freedom), then the change in scores is significant.
Thus, by following these steps, the impact of the preparation workshop on first-time composite scores of the MAT can be assessed.

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The paired t-test is the appropriate statistical analysis to use for this type of data.

The first step to check for a significant change over first-time composite scores when a group of 30 high school seniors retake the Miller Analogies Test (MAT) after completing a Test Preparation Workshop, note that each student will have taken the MAT twice, once before and once following the workshop, and the scores are on a ratio scale is to compute the ratio of the scores before and after the workshop for each student.

Then, calculate the mean and standard deviation of the ratios.

Finally, conduct a paired t-test to determine if the mean ratio is significantly different from 1 at the 0.05 level of significance.

The paired t-test is the appropriate statistical analysis to use for this type of data.

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i don’t know the answer please help

Answers

It’s 60 why cus I know it’s 60

HELPPPPPPPPPPPPPPPPPPPP

Answers

The answer is A(45) = -211

Help me plsssssssss I need help

Answers

Answer:

432 each.

Step-by-step explanation:

You make 20% .2%

432! :) You make 20% .2%

(-1 1/4 divided by (-0.2)

Answers

Answer:

6.25

Step-by-step explanation:

What is the height of the models sail in centimeters?

Answers

Step-by-step explanation:

the the height should be 16 cm I used the Pythagoras theory thank you.

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If an increase in the price of pineapple juice of 20% results in an increase in the demand for grape juice of 4%, the cross-price elasticity of demand between pineapple juice and grape juice is: -5. 0.20 -0.20 5. Abraham, Inc., a New Jersey corporation, operates 57 bakeries throughout the northeastern section of the United States. In the past, its founder, James Abraham, owned all the companys outstanding common stock. However, during the early part of this year, the corporation suffered a severe cash flow problem brought on by rapid expansion. To avoid bankruptcy, Abraham sought additional investment capital from a friend, Dennis Bostitch, who owns Highland Laboratories. Subsequently, Highland paid $700,000 cash to Abraham, Inc., to acquire enough newly issued shares of common stock for a one-third ownership interest. At the end of this year, the accountants for Highland Laboratories are discussing the proper method of reporting this investment. One argues for maintaining the asset at its original cost: "This purchase is no more than a loan to bail out the bakeries. Mr. Abraham will continue to run the organization with little or no attention paid to us. After all, what does anyone in our company know about baking bread? I would be surprised if Abraham does not reacquire these shares as soon as the bakery business is profitable again." One of the other accountants disagrees, stating that the equity method is appropriate. "I realize that our company is not capable of running a bakery. However, the official rules state that we must have only the ability to exert significant influence. With one-third of the common stock in our possession, we certainly have that ability. Whether we use it or not, this ability means that we are required to apply the equity method."Question How should Highland Laboratories account for its investment in Abraham, Inc.? he second quartile for the numbers: 231,423,521.139347,400,345 is A 231 B. 347 C330 D. 423 47. Which of the following measures of variability is dependent on every value in a Set of dista? A Range B. Standard deviation CA and B D. Neither A nor B 48. Which one of these statistics is unaffected by outliers A Mean B. Interquartile range C. Standard deviation D. Range 49. Which of the following statements about the mean is not true? A It is more affected by extreme values than the median B. It is a measure of central tendency C. It is equal to the median in skewed distributions D. It is equal to the median in symmetric distributions 50. In statistics, a population consists of: A. All people living in a country B. All People living in the are under study All subjects or objects whose characteristics are being studied D. None of the above 51. The shape of a distribution is given by the A Mean B. First quartie Skewness D. Variance 52. In a five-number summary, the not included: A. Median B. Third quartile C. Mean D. Minimum 53. If a particular set of data is approximately normally distributed, approximately A. 50% of the observations would fall between standard deviation around the mcan B. 68% of observations would fall between 1.28 standard deviations around the mean C95% of observations would fall between 2 standard deviations around the mean D. All of the above 54. Which of the following is an appropriate null hypothesis? A. The difference between the means of two populations is equal to 0. B. The difference between the means of two populations is not equal to 0. C. The difference between the means of two populations is less than 0. D. The difference between the means of two populations is greater than 0. 55. Students took a sample examination on the first day of classes and then re-took the examination at the end of the course: Such sample data would be considered: A. Independent data B. Dependent data. C. Not large enough data D. None of the above 56. If the p-value is less than alpha (c) in a two- tail test: A. The null hypothesis should not be rejected B. The null hypothesis should be rejected. C. A one-tail test should be used. D. No conclusion can be reached. On a piano, a key has a frequency, say fo. Each higher key (black or white) has a frequency of fo *r", where n is the distance (number of keys) from that key, and ris 2(1/12). Given an initial key frequency, output that frequency and the next 4 higher key frequencies. Output each floating-point value with two digits after the decimal point, which can be achieved as follows: print('{:.2f} {:.2f} {:.2f} {:.2f} {:.2f}'.format(your_valuel, your_value2, your_value3, your_value4, your_value5)) Ex: If the input is: 440 (which is the A key near the middle of a piano keyboard), the output is: 440.00 466.16 493.88 523.25 554.37 Note: Use one statement to computers 2(1/12) using the pow function (remember to import the math module). Then use thatrin subsequent statements that use the formula fn = fo *r" with n being 1, 2, 3, and finally 4. 265792 1509922 Charmain and Dix require a program to determine the probability of any 2 students in the WRSC111 class having exactly the same mark for the WRSC111 test. They have contracted you to develop the program. You are required to ANALYSE, DESIGN and IMPLEMENT a script solution that solves this problem using the following methods: A function numStudents that continuously requests the user for the number of students registered for WRSC111 until a positive value is entered. This positive number is returned by the function A function generate Marks that generates a list of n random marks in the range 0 100, where n is the input argument. Each mark is rounded to the nearest integer. The list of marks is returned by the function A function check that takes a list of marks and returns true if any mark is duplicated in the list, otherwise returns false The main script file that uses the functions written above to generate and check 25000 lists of marks for a WRSC111 class, the number of students obtained from the user. The program must determine and display the probability of any 2 students in the WRSC111 class having exactly the same mark Let T: R R$ where T(u) is the reflection of u across the plane x - 3y + z = 0. A. (s) Find the matrix that represents this transformation. For a hypotetical conditions, indicate whether the policymaker would have a preference for fiscal policy or monetrary policy. Explain your answers. d. The demand for money is relatively responsive to changes in interest rate, and investment is relatively unresponsive to changes in interest rate. e. nvestment is completevly crowded out when taxes are cut or goverment spendind is increased. Choose five instruments that you haven't heard about before or that you want to know more about. Read the article for these five instruments and answer the following questions: a. What is the instrument? 1. ) Coachhorn2. ) Harp3. ) Lute4. ) Serpent5. ) Zinkb. Describe the instrument. What does it look like? What does it sound like? 1. ) 2. ) 3. ) 4. ) 5. ) c. How is the instrument played? Was it used in particular types of music?1. )2. )3. )4. )5. ) Question 1 (25 points) A football club is planning to build a new sports facility. Financial information about the sports facility is presented in the table below 10 matches are planned each year in this sports facility. It is estimated that the ticket price will be 200 TL and an average of 1,500 spectators will come to each match. In this case, calculate the capitalized cont of the investment Land cost (TL) Facility installation cost (11) Insurance premiums (annual) (11) Annual maintenance cost (TL) 3 800 000 Major repair maintenance cost (10th year) (TL) 1.200.000 Lawn renewal cost (every 7 years) (TL) 200.000 Economic life. 100 000 250.000 Infinite period 12 80.000 Annual interest rate (6) In the Month of March, Digby received orders of 146 units at a price of $15.00 for their product Dot, and in April receives an order for 37 units of their product Dot at $15.00. Digby uses the accrual method of accounting and offers 30 day credit terms. Digby delivers 0 units in March, 146 units in April and 37 units in May. They received payment for 146 units in April, and payment for 37 units in May. How much revenue is recognized on the March income statement from this order? How much in the April Income statement? (Answer in thousands)$2,190 , $548$912 , $912$2,738 , 00, $2,190 please help me with the first three questionsA company's balanced scorecard may include a. only nonfinancial metrics b. neither nonfinancial nor financial metrics c. only financial metrics d. both nonfinancial and financial metrics