Solve the simultaneous equations
X + y = 8
3x - y = 12
X =
y =​

Answers

Answer 1

Answer:

y= -6

x=14

Step-by-step explanation:

in attachment

Solve The Simultaneous EquationsX + Y = 83x - Y = 12X =y =
Solve The Simultaneous EquationsX + Y = 83x - Y = 12X =y =
Answer 2

Answer: (5,3)

Step-by-step explanation:

Solve by Addition/Elimination

x + y = 8

3x − y = 12

Add the two equations together to eliminate y from the system.

    x + y = 8

+ 3x −y = 12

  4x      = 20

Divide each term in 4x = 20 by 4.

4x  = 20

4      4

Cancel the common factor of 4.

x= 20/4

x = 5

Substitute the value found for x into one of the original equations to solve for y.

  (5) + y = 8

Remove parentheses.

  5 + y = 8

Move all terms not containing y to the right side of the equation.

Subtract 5 from both sides of the equation.

  y = 8 − 5

Subtract 5 from 8.

  y = 3

The solution to the independent system of equations can be represented as a point.

  (5, 3)

The result can be shown in multiple forms.

Point Form:

  (5, 3)

Equation Form:

  x = 5, y = 3

Solve The Simultaneous EquationsX + Y = 83x - Y = 12X =y =

Related Questions

The ratio of cups of grape juice to cups of orange juice to make fruit punch is 5:3 you are making a batch and will use 10 cups of grape juice

Answers

There are 6 cups of orange juice

Select the correct product
(x2+4) (x2-4)

x4 16
x4+16
x2+8x+16
x2 8x 16

Answers

The answer would be x^4 -16
Explanation: use the FOIL method.
(x^2 +4)(x^2 -4)= x^4 +4x -4x -16. 4x and -4x cancel each other out. You are left with x^4 -16.
F- irst
O- uter
I- nner
L- ast

Answer:The answer would be x^4 -16

Explanation: use the FOIL method.

(x^2 +4)(x^2 -4)= x^4 +4x -4x -16. 4x and -4x cancel each other out. You are left with x^4 -16.

F- irst

O- uter

I- nner

L- ast

Step-by-step explanation:Hope this helps

You created a blog and after 2 weeks you get your first subscriber. The number of subscribers grows quickly, quadrupling each week afterwards.
Excited about your blog's popularity you wonder, how many subscribers will the blog have 12 weeks after you create it?

Answers

Answer:

1 x 4 x 12 = 48

Step-by-step explanation:

48 subs

The number of subscribers at 12 weeks is required.

Number of subscribers at 12 weeks would be 1048576.

a = Initial subscriber count at 2 weeks = 1

Week at which number of subscribers is required is 12.

x = Duration between the weeks = [tex]12-2=10[/tex]

r = Rate of increase = 4

The required formula is

[tex]f(x)=ar^x\\\Rightarrow f(10)=1(4)^{10}\\\Rightarrow f(10)=1048576[/tex]

Number of subscribers at 12 weeks would be 1048576.

Learn more:

https://brainly.com/question/16954106?referrer=searchResults

What is the quotient of 35, 520 ÷ 96?

Answers

Answer:

Hey there the answer is 370

Step-by-step explanation:

Suppose a normally distributed set of data with 7800 observations has a mean of 188 and a standard deviation of 18. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be below a value of 242. Round your result to the nearest single observation.

Answers

Answer:

7788 observations are expected to be below a value of 242.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 188, standard deviation = 18

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

Percentage of observations below 242:

242 = 188 + 3*18

So 242 is three standard deviations above the mean

Of the measures below the mean, all are below 242.

Of the measures above the mean, 99.7% are between the mean of 188 and three standard deviations above the mean(242). So the percentage is:

[tex}P = 0.5 + 0.997*0.5 = 0.9985[/tex]

Number of observations below 242:

99.85% of 7800 observations

0.9985*7800 = 7788

7788 observations are expected to be below a value of 242.

How do I get the answer?

Answers

Answer:

Step-by-step explanation:

im so unfused what subject if yall ask a question putt the subject

Which two points have an undefined slope?

Answers

Answer:is there a pic

Step-by-step explanation:

More info?

(m - 5) = 4 where m=17​

Answers

Answer:

If m = 17 then the equation would be 12 = 4 which is not true

So this whole equation is false

Step-by-step explanation:

Help plz:)))I’ll mark u Brainliest

Answers

x=9.5 because both sides are congruent so you add 30 + 4x-3 and set that equal to 65 and solve for x and the answer is 9.5

Please help me i don't understand ​

Answers

Answer:

-49 degrees Fahrenheit sorrry don’t have time gtg

Step-by-step explanation:

In case you want an explanation he plugged in the -45 where the C is located in the equation and he solve and got 49 ig I didn’t really check it to see

Find the Prime Factorization of 120.
A. 2x 32 x 5
B. 23 x 3 x 5
C. 4x6x5
D. 8 x3 x 5

Answers

Answer:

option (c)

Step-by-step explanation:

4*6*5

please mark as brainliest

1 2 3
5
6
7
The scale in the drawing is 4 cm:5 m. Drag and drop the correct numbers into the boxes to glve the
length, width, and area of the actual room.
16 cm
8 cm
The length is
meters, the width is
meters, and the area is
square meters.
8
16
200
20
10
128

Answers

128 I think is the answer

Please help I'm so confused

Answers

Answer:

(-2, -4), (-1, -1), (0, 0), (1, -1), (2, -4)

Step-by-step explanation:

You plug in x values to get the y values are dot-in the points!

y = -x^2

You plug in -2 and get -(2)^2 = -(4) = -4

Same thing with all other values.

Find the size of angle XYZ give your answer to 1 decimal place plssss hellllpppp

Answers

Answer:

hey mate here's your answer

Step-by-step explanation:

(hypothenuse)²=(base)²+(perpendicular)²

15²=6²+P²

322=36+p²

322-36=p²

286=p²

√286=p

16.91=p

hope it helps you

plz mark me as brainiest

Find the determinant of the following matrix. A =
-2 6
3 5​

Answers

Answer:

[tex]|A| = - 28[/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]

Required

Determine the determinant

For a two by two matrix, A such that:

[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]

The determinant |A| is:

[tex]|A| = a * d - b * c[/tex]

So, in

[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]

The determinant is:

[tex]|A| = -2 * 5 - 6 * 3[/tex]

[tex]|A| = -10 - 18[/tex]

[tex]|A| = - 28[/tex]

what is the meausure of angle XYZ

Answers

Answer:

80 degrees is what I got im not 100 percent its right

100 .......................................................shdhdhdbduejdbdudjdbdjdbdb

Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of life governed by the exponential distribution with mean 3 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.

Answers

Answer:

attached below

Step-by-step explanation:

Assuming that Y1 and Y2 are independent exponential random variable with mean 3

where : U = Y1 + Y2 applying the property of exponential distribution sum of exponentials will follow a gamma distribution

i.e. ∝ = 2 , and β = 1

note : U = 2X

Hence probability distribution function X =

Fx (x) = p( X ≤ x )

= p( U ≤ 2x )

= Fu (2x)

probability density function  X

f (x) = [tex]\frac{dF(2x)}{dx}[/tex]  = 2 Fu (2x)

attached below is the remaining part of the solution

In this exercise we have to use probability knowledge to calculate the density of the function, so we have to:

[tex]f(u) \left \{ {{ue^u: u>0} \atop {0}} \right.[/tex]

[tex]f(x) \left \{ {{4xe^{-2x}: x>0} \atop {0}} \right.[/tex]

Assuming that [tex]Y_1[/tex] and [tex]Y_2[/tex] are independent exponential random variable where:

[tex]U = Y_1 + Y_2[/tex]

Applying the property of exponential distribution sum of exponentials will follow a gamma distribution, we have:

[tex]\alpha = 2[/tex][tex]\beta = 1[/tex] [tex]U = 2X[/tex]

Hence probability distribution function X , will be:

[tex]F_x (x) = p( X \leq x )\\= p( U \leq 2x )\\= F_u (2x)[/tex]

So we can say that:  

[tex]f (x) = \frac{dF}{du} = 2 F_u (2x)[/tex]

See more about probability at brainly.com/question/795909

8 + __ = 4(2+4) I need help on this also can you explain it to me so I know next time

Answers

Answer:

16.

Step-by-step explanation:

We need 8 + a number to equal 24. We need it to equal 24 because 2 + 4 = 6 and 6 x 4 = 24. To find the missing number we need to subtract 8 from 24. 24 - 8 = 16. Let's plug 16 into the equation.

8 + 16 = 4(2 + 4)

24 = 4(2 + 4)

24 = 4(6)

24 = 24

Therefore, 16 is the correct answer.

which are the slope and y-intercept for the line with equation y = -2x +5 ​

Answers

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept.

[tex]y = mx + b \\ y = - 2x + 5[/tex]

Consider the coefficients.

[tex]mx + b = - 2x + 5[/tex]

[tex]m = - 2 \\ b = 5[/tex]

Therefore, the slope is -2 and y-intercept is 5.

Suppose that U is an infinite universal set, and A and B are infinite subsets of U . Answer the following questions with a brief explanation. Must A c be finite? Must A ∪ B be infinite? Must A ∩ B be infinite?

Answers

Answer:

A c must not be finite.

A ∪ B must be infinite.

A ∩ B must not be infinite.

Step-by-step explanation:

Must A c be finite?

Suppose

U = {....-4,-3,-2,-1,0,1,2,3,4.......}

A = {....-4,-2,0,2,4.......} which is infinite set

B = {....-3,-1,0,1,3.......} which is also infinite set

So We need to calculate the A compliment

[tex]A^{c}[/tex] = U - A = {....-4,-3,-2,-1,0,1,2,3,4.......} - {....-4,-2,0,2,4.......} = {....-3,-1,0,1,3.......}

Hence [tex]A^{c}[/tex] is also an infinite set.

The statement "Must A c be finite?" is incorrect.

Must A ∪ B be infinite?

In AUB all the elements of set A and set B are combined into a single set to get the union of A and B. If A and B are the infinite set then their union must also be an infinite set because all the elements of infinite sets will be there so the union of these infinite sets will also be an infinite set.

The Statement "Must A ∪ B be infinite?" is correct.

Must A ∩ B be infinite?

In A∩B the common elements of both sets will be the answer to the intersection of A and B set. If we consider the A and B are the infinite subsets of a Universal set that carry all the elements then there will not be any common element in both sets A and B.

The Answer of A∩B is { } or empty set.

The statement "Must A ∩ B be infinite? " is incorrect.

Please help, in a hurry!!
Will mark brainliest!!!

Match each system of linear equations with the correct number of solutions.
One solution

Infinitely many solutions

No solution
3x - y = 4
6x - 2y = 8

-3x + y = 7
2x - 4y = -8

y = -4x - 5
y = -4x + 1

Answers

Answer:

First one is infinitely many solutions. Second one is One solution. The third one is No solution.

Step-by-step explanation:

First line both equations have the same line. second one are two completely different equations while the third one are parallel lines which never intersect.

The expression 42+57 shows how much money Nate spent at a store. Which expression also shows how much
money Nate spent?

Answers

Answer:

The first one

Step-by-step explanation:

42+57=99

The only answer that is equal to 99 is the first one. 3(14+19) = 3(33) = 99

Answer:

66+33

Step-by-step explanation:

42+57= 99

__________

My expression

66+33= 99

Hopefully that helps you out.


The distance from Adamsville to Hampton Mills is 24.1 km. Which statement is true about the
distance from Adamsville to Springfield

Answers

Answer:-

Option A

Step by step explanation :-

Distance between Springfield to Longmeadow is 3.8 km.

Adamsville to Springfield is 7.6 km.

can someone help please!

Answers

Answer:

1. B. <1 and <2

2. C. 37°

3. B. 40°

Step-by-step explanation:

1. Complementary angles add up to 90°.

From the diagram given, <1 and <2 are complementary because they sum up to 90°.

The answer is B. <1 and <2

2. Given that,

m<1 = 37°, m<4 = 37° also.

This is because m<1 and m<4 are Vertical angles. Vertical angles pair are equal.

The answer is: C. 37°

3. If m<1 = 50°, then:

m<5 = 90 - m<4

m<1 = m<4 = 50° (vertical angles)

m<5 = 90 - 50 (substitution)

m<5 = 40°

Answer is B. 40°

1. AB = 32
BE = 6x + 8

Answers

Answer:

x = 4

Step-by-step explanation:

6x + 8 = 32

6x = 32 ‐ 8

6x = 24

x = 24/6

x = 4

What is the multiplier of 2.5% of an amount

Answers

Answer: 8x3 to the 6th degree minus 4th5 odd one under.

Step-by-step explanation:

Answer:

Most likely 0.025

Verified with calculator :)

Compute the sample variance for the following scores: 25, 36, 41, 28, 29, 32, 39, 37, 34, 34, 37, 35, 30, 36, 31, 31

Answers

Answer:

Step-by-step explanation:

From the given information:

The mean [tex]\hat x = \dfrac{\sum x}{n}[/tex]

[tex]\hat x = \dfrac{25+36+41+28+29+32+29+37+34+34+37+35+30+36+31+31}{16}[/tex]

[tex]\overline{x} = \dfrac{535}{16}[/tex]

[tex]\overline{x} = 33.44[/tex]

The sample variance is as follows:

[tex]S^2 = \dfrac{\sum dx^2 - ( \dfrac{\sum dx)^2}{n} )}{n-1}[/tex]

[tex]S^2 = \dfrac{279- ( \dfrac{7}{15} )^2}{15}[/tex]

[tex]S^2 = 18.585[/tex]

Find the zeroes of the function g(x).
g(x) = (x - 8)(x + 7)
Write your answer as a list of values separated by commas,

Answers

Answer:

-15

Step-by-step explanation:

=(x - 8)(x + 7)

=x2-15x-56

= (0)2 - 15(0) -15

= -15

literally don’t know dude

There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. We record the triplet that describes the month of birthday for each person. E.g. (Oct, Jan, Jul) is one possible triplet/outcome. (Since each month applies to a specific person, (Oct, Jan, Jul) is not the same as (Jan, Jul, Oct) and so order is important.) a. How many possible outcomes are there

Answers

Answer:

The possible outcomes are 1728.

Step-by-step explanation:

Consider the provided information.

We know that there are 12 months in a year and we have 3 people in a room.

As the order is important it means for each person we have 12 choices of the months.

The possible outcomes are: [tex]12\times12\times12=1728[/tex]

Hence, the possible outcomes are 1728.

Combine Like Terms for this expression.
7y + 2y

Answers

answer:

9y

step-by-step explanation:

add 7 and 2 = 9 then add the y

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