x+y=4 and 2x+3y=2 then find x and y​

Answers

Answer 1

Answer:

x=10, y=-6

Step-by-step explanation:

1) express x from the first equation x+y=4 x=4-y

2) It is the system of equations, so both equations are simultaneous.

you can replace x to 4-y in the second one

2 *(4-y) +3y=2

8-2y+3y= 2

y=-6

x= 4-y=4-(-6)=10

The answer is x=10, y=-6


Related Questions

PLEASE HELP ASAP!!! i dont understand :(

Answers

Answer:

hello,

Step-by-step explanation:

y=k(x-a')²+b'

focus is (a',1/(4k)+b')

2x²=-120y

==> y=-2/120x²

==> y=-1/60(x-0)²+0

focus= (0,-15)

Can u help solve this problem

Answers

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

the correct answer is 45 in^3

HELP ME PLEASE I NEED HELP

Consider the end behavior of the function g(x) = 4|x − 2| − 3.

As x approaches negative infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.


As x approaches positive infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.

Answers

Answer:

Step-by-step explanation:

This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.

In the figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=55°.


What is m∠8?






Enter your answer in the box.


°

Line a b parallel to line c d is cut by a transversal forming 8 angles. The angles formed when the transversal intersects with line A B clockwise starting from top left are angle 1, 2, 3, and 4. The angles formed where the transversal intersects line c d clockwise from top left are angle 5, 6, 7, and 8.

measure of angle E is 2 x degrees.

Answers

Answer:

m<8 = m<2, both are equal since they are alternate exterior angles.

m<2 = 55° given, so m<8 = 55°

Answered by GAUTHMATH

“Determine which of the following lines has the larger y-intercept, and by how much. “


The line that passes through (3, 8) and (-3, 4)


The line that passes through

(2, -5) and is perpendicular to

y=1/3x-2

Answers

Answer:

The first line:

y₁ = (2/3)*x + 6

Has the larger y-intercept, by 5 units.

Step-by-step explanation:

Here we need to find the equation for each line.

First, some theory.

A linear relationship can be written as:

y = a*x + b

where a is the slope and y is the y-intercept.

We know that if the line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ -x₁)

And, if a line is:

y = a*x + b

a perpendicular line to that one must have a slope equal to:

-(1/a).

Now we can answer this question.

We know that the first line, let's call it y₁, passes through the points (3, 8) and (-3, 4), then its slope will be:

a = (8 - 4)/(3 - (-3)) = 4/6 = 2/3

then the line is something like:

y₁ = (2/3)*x + b

to find the value of b, we can use the fact that we know that the line passes through the point (3, 8)

this means that when x = 3, we must have y₁ = 8

replacing these in the above equation, we get:

8 = (2/3)*3 + b

8 = 2 + b

8 - 2 = b = 6

then the equation for this line is:

y₁ = (2/3)*x + 6

Now let's find the equation for the other line, that we will call y₂.

We know that this line is perpendicular to:

y = (1/3)*x - 2

The slope of that line is:

a = (1/3)

then the slope of a line perpendicular to that one will be:

slope = -(1/a) = -(1/1/3) = -3

slope = -3

then we have:

y₂ = -3*x + b

to find the value of b, we can use the fact that our line passes through the point (2, -5)

This means that when  x = 2, we must have y₂ = -5

then:

-5 = -3*2 + b

-5 = -6 + b

-5 + 6 = b = 1

b = 1

then this equation is:

y₂ = -3*x + 1

Now we know both equations:

y₁ = (2/3)*x + 6

y₂ = -3*x + 1

Which equation does have the larger y-intercept?

We can see that the first line has an y-intercept of 6, and the second line has an y-intercept of 1, then the first line has the larger y-intercept, and is larger by 5 units.

Will give BRAINLIEST to the correct answer.


Angelica Reardon received a 4-year non-subsidized student loan of $18,000 at an annual interest rate of 6.8%. What are Angelicas monthly loan payments for this loan after she graduates in 4 years? (Round your answer to the nearest cent.)

Answers

Answer:

In 2021 she would have the loan of $18,000 and in 2022 she would have $13,947 and 2023 she would have $9,609 and in 2024 she would have $4,968 and in 2025 she would have $0.

The total lifetime costs of your student loans would be $20,609 paid over 4 years.

- I HOPE THIS HELPS! :)

Step-by-step explanation:

- Is a student loan calculator (2021)

-This is a very GOOD site!!!!! :)

The Angelica's monthly loan payments for this loan after she graduates in 4 year is $408.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan.

What is the formula for calculating the simple interest?

The formula for calculating the simple interest is

[tex]Simple\ interest = \frac{P\times R\times T}{100}[/tex]

Where,

P is the principal amount

R is the interest rate

And, T is the time in years

According to the given question.

Principal amount, P = $18,000

Interest rate, R = 6.8%

Time, T = 4 years

Therefore,

The monthly loan payments, we calculate the simple interest for monthly

= [tex]\frac{18000 \times 6.8\times 4}{100 \times 12}[/tex] = $408

Hence, the Angelica's monthly loan payments for this loan after she graduates in 4 year is $408.

Find out more information about simple interest here:

https://brainly.com/question/22621039

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Name the property shown by the statement a + (b + 2) = (a + b) + 2

Answers

Answer:

The associative property

Step-by-step explanation:

In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:

[tex]x^n=b[/tex]        [tex]\sqrt[n]{b}=x[/tex]

[tex]a*b[/tex]            [tex]a[/tex] ÷ [tex]b[/tex]

[tex]a+b[/tex]           [tex]a-b[/tex]

Find m<DCV and m<VBD​

Answers

Answer:

∠ DCV = ∠ VBD = 50°

Step-by-step explanation:

The inscribed angles DCV and VBD are half the measure of their intercepted arcs, that is

∠ DCV = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

∠ VBD = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

Expand and simplify the following. Show all the steps.
a. -4(a-4)
b. 3a(a+2)
c. 4x - 2(5 - x)
d (x-3)(x+2)
e (x+4)2

Answers

a) -4a+16
b) 3a^2+6a
c) 20x - 4x^2- 10 + 2x
-4x^2 + 22x -10
d) x^2+2x-3x-6
x^2-x-6
e) (x+4)(x+4)
x^2+8x+16

a. The expanded and simplified form is: -4a + 16

b. The expanded and simplified form is: 3a^2 + 6a

c. The expanded and simplified form is: 6x - 10

d. The expanded and simplified form is: x^2 - x - 6

e. The expanded and simplified form is: x^2 + 8x + 16

Sure, let's expand and simplify each expression step by step:

a. -4(a - 4)

Step 1: Apply the distributive property (multiply -4 by each term inside the parentheses).

-4(a) + -4(-4)

Step 2: Simplify the terms.

-4a + 16

So, the expanded and simplified form is: -4a + 16

b. 3a(a + 2)

Step 1: Apply the distributive property (multiply 3a by each term inside the parentheses).

3a * a + 3a * 2

Step 2: Simplify the terms.

3a^2 + 6a

So, the expanded and simplified form is: 3a^2 + 6a

c. 4x - 2(5 - x)

Step 1: Apply the distributive property (multiply -2 by each term inside the parentheses).

4x - 2 * 5 + 2 * x

Step 2: Simplify the terms.

4x - 10 + 2x

Step 3: Combine like terms.

6x - 10

So, the expanded and simplified form is: 6x - 10

d. (x - 3)(x + 2)

Step 1: Apply the distributive property (multiply x by each term inside the second parentheses and then multiply -3 by each term inside the second parentheses).

x * x + x * 2 - 3 * x - 3 * 2

Step 2: Simplify the terms.

x^2 + 2x - 3x - 6

Step 3: Combine like terms.

x^2 - x - 6

So, the expanded and simplified form is: x^2 - x - 6

e. (x + 4)^2

Step 1: Apply the square of a binomial formula: (a + b)^2 = a^2 + 2ab + b^2

(x)^2 + 2(x)(4) + (4)^2

Step 2: Simplify the terms.

x^2 + 8x + 16

So, the expanded and simplified form is: x^2 + 8x + 16

To know more about simplify:

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SOMEONE HELP ME PLEASE

Answers

Answer:

1/4 * 2/3 = 2/12 = 1/6 = .1666 = 16.6%

Step-by-step explanation:

[tex]\frac{1}{3-6y} + \frac{1}{y} = \frac{1}{6\\}[/tex]

Answers

Answer:

y = 11 + √ 73/ 4  , 11 − √ 73 /4

Step-by-step explanation:


A box contains 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. You pick two cubes at random, replacing each after you pick. Find the probability of picking a blue and then a red.

A.3/25

B.9/100

C.3/4

D.4/25

Answers

Answer:

Step-by-step explanation:

There are 10 cubes all together.

You want blue and then red with replacement.

Blue

P(B then red) = 3/10 * 4/10 = 12 / 100

12/100 reduces to 3/25

The answer is A

Answer:

A?

Step-by-step explanation:

SOMEONE HELP ME PLEASE

Answers

Answer:

547

Step-by-step explanation:

why because it is

so big

Answer:

Step-by-step explanation:

This question suffers from being incomplete which is why you are likely unable to answer it. The problem is: what does advanced mean.

Does it mean post bachelor?Does it mean a masters?Does it mean just extra classes above what you know to be true.

I'm going to answer this on the basis of what I can see which is just a bachelor's degree.

First find the total of the entire table.

There are 6 entries 224 + 387+547+776+245+322=2501

Now P(Bachelor) = 547 / 2501 = 0.2187

Beaker A contains 1 liter which is 15 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which is 55 percent oil and the rest vinegar, completely mixed up. Half of the contents of B are poured into A, then completely mixed up. How much oil should now be added to A to produce a mixture which is 60 percent oil

Answers

Answer:

Add 1.25 litres of oil.

Step-by-step explanation:

Contents in beaker A implies;

15% of oil in 1 litre = 0.15 litres of oil

So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.

Contents in beaker B implies:

55% of oil in 2 litres = 1.1 litres of oil

So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.

Half of contents of B poured into A implies that beaker A now contains:

0.15 litres + 0.55 litres = 0.7 litres of oil

0.85 litres + 0.45 litres = 1.3 litres of vinegar

The percentage of oil in A now = [tex]\frac{0.7}{2}[/tex] x 100%

                                                    = 35%

To increase the percentage of oil to 60%, then:

0.7 litres + 1.25 litres = 1.95 litres of oil

But the new total litres of the content in beaker A = 3.25 litres

So that;

[tex]\frac{1.95}{3.25}[/tex] x 100% = 60%

Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.

Find the missing side of the triangle

Answers

I dont know the answer lol but imma say B

Trong mặt phẳng tọa độ cho tam giác ABC biết các đỉnh A(-1,2), B(4,7) và trọng tâm tam giác G(3,2). Viết phương trinh đường thẳng d chứa đường cao đi qua A của tam giác ABC

Answers

can you translate so i can help you out .

On the graph of an exponential function representing growth, what happens to the slope of the graph? The slope:
a. increases
C stays the same
b. decreases
d. there is no slope
Please select the best answer from the choices provided
B
оооо
D
Next
Submit

Answers

Answer:

a. Increases

Step-by-step explanation:

An exponential graph starts rising gradually and then starts to steeply incline.

In other terms, the derivative of an exponential function shows us that the slope of the exponential function increases as the inputs increase.

∴ our answer is A.

A) 60° B) 85° C) 96° D) 40°​

Answers

Answer:

A)60°

Step-by-step explanation:

a straight line is 180° then

if a line bisect it in to a half it become 90°

then

the exterior angle of a triangle is equal to the sum of two interior angles

this means 150°-90°=60°

Answer: A) 60

Step-by-step explanation:

The line at the top signifies 180 degrees, as does any straight line. The 150° that intersects with P tells you that P must be 30 degrees, as 180 - 150 = 30.

The three angles of a triangle must always equal 180°. Angle R tells you that it’s 90°, shown by the square instead of a curve. If you subtract the value of P we found before, and the value of R we just found, you get your answer.

180 - 30 - 90 = 60.

BRAINLEST IF CORRECT!!!!!!!

Answers

Answer:[tex]\huge \boxed{x=180-26-90=64}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have the angels 180, 26, 90(right angle) and x. So when you add them all up you should get 360 because there aren’t two straight lines. Only line makes a 180 angle. So...

180 + 26 + 90 + x = 360

296 + x = 360

x = 360 - 296

x = 64

If the mortgage interest rates increase, this would be an example of changing your external environment.

Answers

Answer:

Economic conditions

Step-by-step explanation:

If the mortgage interest rates increase, this would be an example of changing Economic conditions in a company's your external environment

Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.

once the debtor repays the mortgage he retains the full ownership of his property.

The number of students in an school building that have the flu after t days is given by the function

()=800/1+49^−0.2

a) What was the initial number of students infected (think about what time is initially).

b) When will the number of students infected be equal to 200?

Round all of your answers to the NEAREST whole number and be sure to label your answers.

Answers

Step-by-step explanation:

[tex]p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16[/tex]

[tex]200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14[/tex]

Simplify for me please

Answers

6^21

it would equal about 2.19^10 just as the original equation

hope this helps:))

kiro and lito were assigned the same book to read for a class. kiro started reading on Saturday, and he's reading 20 pages a day. Lito didn't start until Sunday, but he is reading 25 pages a day. How many days will it take Lito to catch up to kiro and how many pages will they have each read?

what system of equations represents this situation and how do you solve it?

Answers

Since Kirk starting reading on Saturday, I can make an equation of 20 + 20d. The equation for Lito is 20d. Therefore, the system of equations is 20 + 20d = 25d.

I can solve this like any other equation. Firstly, I can subtract 20d on the left hand side to give me 20 = 5d. Then, I can divide by 5. This gives me 4 = d, or d = 4. This means that it takes Lito 4 days to catch up. I can then multiply 20 * 4 and 25 * 4 to give me 100 pages.

The system of equations is 20 + 20d = 25d, and the amount of pages they each read is 100.

Where is the blue dot on the number line ?

Answers

It is at 1.13. Each mark on the number line is 0.1. Hope this helps!

Answer:

-1.13

Step-by-step explanation:

the gape between two points is 0.01 so the required answer is -1.13

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w

In which step did the student first make a mistake and how can it be corrected? (5 points)


Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)

Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)

Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)

Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)

Answers

Answer:

Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)

Step-by-step explanation:

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)

Step 2: m∠w − m∠z = 90 degrees (corresponding angles)  

We are adding the angles to form a straight line which is 180 degrees

Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z

Step 4: So, m∠x + m∠y = m∠w

©
In
what ratio does the point (m, 4) divide the line joining points (5, 1) and
(-3, 2)? Also, find the value of m.
what ratio does the point divide the line​

Answers

Answer:

Part 1; The point (m, 4) divides the line externally in the ratio 3:2

Part 2; m = -19

Step-by-step explanation:

Part 1

The given point dividing the line = (m, 4)

The given points on the line = (5, 1) and (-3, 2)

Let A and B, represent the points (5, 1) and (-3, 2) respectively, and let P represent the point, (m, 4)

Therefore, we have;

The vertical distance from 4 to 1 = 4 - 1 = 3 units

The vertical distance from 4 to 2 = 4 - 2 = 2 units

Given that the point 4 is over the given points joined by the line, (5, 1) and (-3, 2), we have that the point (m, 4) divides the line in the ration -3:2 or externally in the ratio AP:PB = -3:2

Part 2

Therefore, we have;

(m - 5)/(m - (-3)) = 3/2

3·m + 9 = 2·m - 10

m = -19

Is the answer option c?

Answers

Answer:

Discrete

Step-by-step explanation:

A set can simply be defined as a list of values. There are many different types of sets, some are intervals, others are enumerated numbers. Often, a set composed of values that are listed is referred to as a discrete set. Discrete sets can be a list of information, or "isolated points". Knowing this information, the most logical answer to fill in the blank is "discrete".

"If a set is made up of isolated points and can be written as a list, it is called a discrete set."

what is the total cost

Answers

Answer:

u watch Naruto

Step-by-step explanation:

.....................,....,...

**25 POINTS**
Which of the following lists of ordered pairs is a function?

Answers

Answer: A

Step-by-step explanation: A function is when every domain (x value) corresponds to one range (y value) so that it passes the vertical line test

Help pls will give brainliest

Answers

Answer:

195.06

Step-by-step explanation:

area of circle = πr^2 = π8^2 = 64π

area of triangle = 1/2 x 4 x 3 = 6

area of shape = 64π-6 = 195.061929 = 195.06

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If the circumference of the Earth is approximately 24,860 miles, and one mile is5,280 feet, find the length (in inches) of each hot dog. (Round your answer to the nearest tenth) Identify the most important reason that the election of 1896 was significant in American politics. Voters settled the question of how many immigrants would be admitted to the country on an annual basis. The Democratic, Republican and Populist Parties all gained strength as independent political entities. Both presidential candidates traveled and gave public speeches during the campaign. One party used corporate campaign donations to hire speakers and print literature to discredit the opponent. HELP FAST! D: TWENTY POINTSA group of friends goes Sky diving, using a parachute to fall in a straight line from (1,45) to (3,36). If they keep going in a straight line, at what coordinates will they land on the x-axis?