Solve the system.
6x - y = -15
x+2y = 17
Enter your answer as a coordinate pair in the blank.

Solve The System.6x - Y = -15x+2y = 17Enter Your Answer As A Coordinate Pair In The Blank.

Answers

Answer 1

The coordinate pair of the given system is (-1,9)

What are coordinate pairs?

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

Define Equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Multiply the first equation by 2 and add the equation 2(6x - y) = 2(-15)

Add the new equation 12x - 2y = -30 to the second equation

12x - 2y = -30, x+2y = 17, add the two equations to eliminate y

13x = -13

x = -1

Substitute -1 back into the equation x+2y = 17.

-1 + 2y = 17

2y = 18

y = 9

So the solution of the system is x = -1, y = 9

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Related Questions

Find the area of the trapezoid

Answers

Answer:

15 + 23 = 38

38 x 9 = 342

342 x 1/2 (basically just dividing by 2) 171

Step-by-step explanation:

Formula of a trapezoid:

B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)

In this case,

12 and 23 are your bases, 9 is your height.

why is sin ( 17.5 + pi ) = - 0.3 and not positive 0.3 ?

Answers

Answer:

Step-by-step explanation:

Name the property of the real numbers illustrated by the equation

Help ASAP 20 points!!!

A = {4,7, 10, 14, 17, 20}
B = {1,4,9,14, 20}
C = {2,3,7, 10, 17)

Answers

Answer:  {4, 14, 20}

Don't forget about the curly braces.

===========================================================

Explanation:

The upside down "U" symbol means "intersect". We're looking for where the two sets intersect or overlap. In other words, we're looking for all of the values are in both sets at the same time. It might help to draw out the Venn diagram (see the image attachment below).

The numbers 4, 14, and 20 are found in both set A and set B at the same time. Therefore, [tex]A \cap B = \{4, 14, 20\}[/tex]. Something like the value 7 is only found in set A, but not in set B. So we'll ignore that value. Similar things happen with 10 and 17 for set A, and also 1 and 9 for set B.

So that's why the answer you type in is {4, 14, 20}. The curly braces are there to tell the reader we're dealing with a set of values.

Marissa is skateboarding on a straight stretch of sidewalk. In 3.0 minutes, she travels 486 meters. What is the magnitude of her velocity during this stretch?

Answers

Marissa velocity while skateboarding is 162 meters per minute

What is an equation?

An equation is used to show the relationship between numbers and variables.

Velocity is the ratio of displacement to time taken. It is a vector quantity (has magnitude and direction) and it is given by:

Velocity = displacement / time

Marissa travels 486 meters in 3 minutes, hence:

Velocity = displacement / time

Velocity = 486 m / 3 min = 162 meters per minute

The velocity is 162 meters per minute

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Answer: The correct answer is 2.7m/s

Step-by-step explanation:

I took the test

-15x+4x+2-x= x+ as a no solution

Answers

The equation -15x + 4x + 2 - x = x has  solution and the solution is 2/13

How to determine if the equation has no solution

From the question, we have the following parameters that can be used in our computation:

-15x+4x+2-x= x+

Express the equation properly

So, we have the following representation

-15x + 4x + 2 - x = x

Collect the like terms in the equation

This gives

-x - 15x + 4x - x = -2

Evaluate the like terms

So, we have the following representation

-13x = -2

Divide both sides by -13

This gives

x = 2/13

Hence, the solution is 2/13

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A group of 36 people from the Nantucket recreation center plans to purchase tickets for a cruise to Permut Bermuda the standard fare for an individual ticket is $1200 the group is informed that because of the size of the group the standard fare will be reduced by 30% with a discount of 30% how much does each member of the Nantucket recreation center have to pay for a cruise ticket show or explain how you got your answer (SOMEONE PLEASE HELP)

Answers

The total amount each member of the Nantucket recreation center have to pay after the discount is given by the equation A = $ 840

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount for each person after discount be represented as A

Now , the equation will be

The total number of people in the group = 36

The standard fare for each person = $ 1200

So , the total cost of the fare = total number of people x standard fare for each person

Substituting the values in the equation , we get

The total cost of the fare = 1200 x 36

The total cost of the fare = $ 43,200

Now , the discount percentage = 30 %

So , the amount after discount = total cost of the fare - total cost of the fare x discount percentage

Substituting the values in the equation , we get

The amount after discount = 43,200 - ( 30/100 ) x 43,200

The amount after discount = 43200 - 12960

The amount after discount = $ 30,240

Now ,

Total amount for each person after discount A =amount after discount / 36

Total amount for each person after discount A = 30,240 / 36

On simplifying the equation , we get

Total amount for each person after discount A = $ 840

Therefore , the value of A is $ 840

Hence , the amount is $ 840

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Given the polynomial function y = 5x^2 + 3x^6 - 10x-8, what is the constant
term?
A.5
B.3
C.-10
D.-8

Answers

Answer:

Step-by-step explanation:

Given: Polynomial y = 5x²+3x⁶-10x-8

here, 5 is the coefficient of x², 3 is the coefficient of x⁶, -10 is the coefficient of x and -8 is the constant term.

option (D)

Answer:

down there.

Step-by-step explanation:

Look for a term that has no variables with it. Once you've found it you've found ur constant. The only such term is -8 so the constant is -8 or choice d.

hence choice d

please convert 16/100 into a decimal ​

Answers

Answer:

0.16 btw thanks for the points

Answer: 0.16

Step-by-step explanation:

put 16 over 100 and divide it. Then you get your answer 0.16.

subtract 6x^2-x+3 from 8x^2-7x-2​

Answers

Answer:

Step-by-step explanation:

1) translate the given informations in a operation

8x^2 -7x - 2 - (6x^2-x+3)

2) change the sign of all the terms in the bracket

8x^2 -7x -2 -6x^2 + x -3

3) simplify the expression

2x^2 - 6x -5

What is the area of the figure, 100 points pls hurry

Answers

Answer:

69.75 in^2

Step-by-step explanation:

Please see the attached image.

Let's first find the area of the bottom rectangle. The area of a rectangle is the length times the width.

9*4.5=40.5 in^2

Now let's find the area of the triangle on top. The area of a triangle is the base times the height divided by 2.

9*6.5/2=29.25 in^2

Now add the areas of the two shapes to get the total area of the figure.

40.5+29.25=69.75 in^2

Answer:

69.75 in²

--

First divide the shape into rectangles and triangles.

There is one triangle and one rectangle

Then . .

Solve the area of the bottom rectangle

-formula A = L x W

9 × 4.5 = 40.5 in²

Then . .

Find the area of the triangle on top

-formula

A = 1/2 × b × h

Plug in . .

A = 1/2 × 9 × 6.5 =  29.25in²

Finally add the two areas together to get the finale area!

40.5 + 29.25 = 69.75 in²

Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (-0. 5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to explain how to plot the point.


Someone pls help?

Answers

Therefore , As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).

Definition of a scatter plot.

Several dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).

Here,

Maria You've erred, you know that. You don't understand the points at all. The attachment can be used to your advantage.

The property of rational numbers, according to which there are an endless number of terminating decimals between any two terminating decimals, must be used in order to plot any terminating decimal on the coordinate plane.

On the X axis, indicate -0.5 between 0 and -1.

Mark integer 2 on the Y axis in a similar manner.

Draw a line perpendicular to the Y axis, passing through (-0.5,0), and a line perpendicular to the X axis, passing through (0,2).

These two lines must cross at the specified position (-0.5,2).

As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).

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PLEASE HELP ME ITS DUE IN 4 HOURS!!

Answers

Answer:

black screen

Step-by-step explanation:

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

Option B.

{–9 + i√225 / 24, –9 – i√225 / 24}

Step-by-step explanation:

12a² + 9a + 7 = 0

Using formula method, the solutions to the equation can be obtained as follow:

Coefficient of a² (a) = 12

Coefficient of a (b) = 9

Constant (c) = 7

a = –b ±√(b² – 4ac) / 2a

a = –9 ±√(9² – 4 × 12 × 7) / 2 × 12

a = –9 ±√(81 – 336) / 24

a = –9 ±√(– 225) / 24

Recall

–225 = –1 × 225

Thus,

–9 ±√(– 225) / 24 = –9 ±√(–1 × 225)/24

Recall

√(–1 × 225) = √–1 × √225 = i√225

Thus,

–9 ±√(–1 × 225)/24 = –9 ± i√225/24

Therefore,

a = –9 ± i√225/24

a = –9 + i√225 / 24 or –9 – i√225 / 24

Therefore, the solutions to the equation are:

{–9 + i√225 / 24, –9 – i√225 / 24}

work out the length of x

Answers

Answer:

x = [tex]\sqrt{147}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 7² = 14²

x² + 49 = 196 ( subtract 49 from both sides )

x² = 147 ( take the square root of both sides )

x = [tex]\sqrt{147}[/tex] ≈ 12.1 ( to 1 dec. place )

x = 12.12 cm

There are two ways to solve this triangle. We will be using the simpler, Pythagorean Theorem to solve for the missing side length - [tex]a^{2}+b^{2}=c^{2}[/tex]

'a' and 'b' are variables for regular side length legs, while 'c' is a variable for the hypotenuse.

[tex]7^{2}+x^{2} =14^{2}[/tex]

[tex]x^{2} =196-49[/tex]

[tex]x^{2} =147[/tex]

x ≈ 12.12

Can someone help me with this

Answers

you can't see the picture, please reach out once i can see it

Here are four digits 9 4 7 5 use two of these digits to make the largest possible two digit number

Answers

Answer:

97

Step-by-step explanation:

A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable

Answers

The percent of the variance in the dependent variable unexplained by the independent variable is 81%

What does correlation coefficient mean?

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.

9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.

The correlation coefficient is therefore represented as follows:

[tex]r = 0.3[/tex]

The explained variance is found using the following formula:

[tex]R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9[/tex]

Thus, 81% of the variance remains unexplained by variations in the independent variable.

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Examine the system of equations. −3x y = 4, −9x 5y = −1 what is the solution? ( , )

Answers

The system of equations -3x + y = 4 and -9x + 5y = -1 has the solution (-3.5 , -6.5).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations. This is what is called as the solution.

Given two equations in x and y,

-3x + y = 4     (equation 1)

-9x + 5y = -1     (equation 2)

Rewrite equation 1 as an equation of y and substitute to equation 2.

(equation 1) -3x + y = 4     ⇒     y = 3x + 4

-9x + 5y = -1     (equation 2)

-9x + 5(3x + 4) = -1

-9x + 15x + 20 = -1

6x = -21

x = -3.5

Substitute the value of x in equation of y and solve for y.

y = 3x + 4

y = 3(-3.5) + 4

y = -6.5

Hence, the solution to the following system of equations is (-3.5 , -6.5).

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Answer:

(-3.5 , -6.5)

Step-by-step explanation:

when 7/11 is written as a decimal what is the sum of the fisrt twenty digits after the decimal point
PLEASE i relaly need help I just got brainly

I give twenty points

Answers

The first twenty digits after the decimal point of 7/11 when written as a decimal are: 6363636363636. The sum of these digits is 108.

pls pls HELP ASAP!!! ILL MARK BRAINIEST AND 50 POINTS!!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by ASA

Answers

Answer:

side BC and side DF

Step-by-step explanation:

side BC and side DF

how do i solve -2.4>b/-2.5 step by step

Answers

Step-by-step explanation:

hope this helps....see above for answer

What is the relative frequency of eighth graders who want fruit smoothies

Answers

Answer:

it is 0.18

Step-by-step explanation:

I took the test

3.) In a proportional relationship, y=2 when x = 8. Which of the following equations would describe this relationship? (1) y=1/4x (2) y = 4x (3) y=x-6 (4) y =1/2x-2​

Answers

The correct option is y=1/4x.Because it holds the directly proportional relationships.

What is directly proportional?

Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Directly proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

How do you find if an equation is a proportional relationship?

A relationship is proportional if each pair of data values are related in the same way by multiplying by a factor. You can recognize a proportional relationship by looking at data.When two quantities x and y are in direct proportion then they are written as x ∝ y. Symbol “∝” stands for 'is proportional to'.

NOW we find

according to directly proportion

y∝x

y=kx

y/x=k

2/8 =k

1/4 =k

Now we get

y = 1/4x

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Jacob rode his bike 5 3/4 miles last week. This week,he rode 4 times as far as he rode last week. How many miles did Jacob ride his bike this week?

Answers

Answer:

Hope this helps

Step-by-step explanation:

1. Make 5 3/4 into an improper fraction. That would be 23/4. 2. Write 4 in a fraction way. That would be 4/1. 3. Now do 23/4 X 4/1. That would be 92/4. 4. Turn it into a mixed number by doing 92 divided by 4. That would be 23. No fraction after 23. Jacob rode his bike 23 miles this week. :)

Answer:

5 3/4 times 4 = 23/4 times 4 = 92/4 =23

Step-by-step explanation:

plssssss help me correct gets brainliest

Answers

Answer:

b

Step-by-step explanation:

i did it rn

Answer:

B: 57.12

Step-by-step explanation:

2.8 times 1.2 times 17 is 57:12

X is an odd number , if the next odd number is 3x

Answers

Since X is an odd number, x+2 is the following odd number. If x is an even number, the subsequent odd number is x + 1.

The odd even rule is what ?

The vehicles that will travel on the highways on particular days are decided by the Odd-Even rule, a space rationing system. According to the plan, vehicles with odd and even numbers will travel the roads on alternate days.

The unusual method is what?

In jQuery, the odd() method is used to pick elements with odd index numbers (such as 1, 3, 5, etc.). The index begins at zero. It picks odd numbers, unlike the even() function, which is comparable. From the set of chosen items, the odd() method returns the odd indexed elements.

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100 points + Brainliest Let C represents the cost in dollars and R represents the revenue in dollars. What is the break-even point? Use a table to help if necessary.

C=36x+200
R=76x
Break-even point: (,)

Answers

Answer:

  (x, {C and/or R}) = (5, 380)

Step-by-step explanation:

You want the break-even point when cost (C) and revenue (R) are given by ...

C = 36x +200R = 76x

Profit

Profit is the difference between revenue and cost. The break-even point is the point at which profit is zero:

  P = R -C

  0 = 76x -(36x +200)

  0 = 40x -200 . . . . simplify

  0 = x -5 . . . . . . . . . divide by 40

  x = 5 . . . . . . . . . add 5

The break-even point is at x=5. Revenue and cost are both 380 at that point.

Table

If you prefer to look at these values in a table, you can consider ...

  [tex]\displaystyle \begin{array}{ccc}x&C&R\\\cline{1-3}\vphantom{\^B}3&308&228\\4&344&304\\5&380&380\\6&416&456\end{array}[/tex]

We notice that cost and revenue are the same for x=5. They are both 380 for that value of x.

Graph

Another way to find the break-even point is to use a graph to plot cost and revenue on the same vertical axis. The point at which the lines cross is the break-even point. The break-even point coordinates are (5, 380).

A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 2000 seats. The students filled 320 of the seats in the theater. What
percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

16 % of the theater.

Answer:

16%

Step-by-step explanation:

320/2000=.16 or 16%

Given: x - y = 11.
If x = -17, what is y?
Please put your answer in the format “y=____”

Answers

Answer:

-28

Step-by-step explanation:

-17-11= -28

-28-(-17)=11

!NO FILES !
Help me ASAP :((

Answers

I think the total is b
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