-4x + 5y=8 6x - y = 11

Answers

Answer 1

Final answer:

To solve the given system of linear equations, the elimination method is used, resulting in the solution x = 63/26 and y = -97/26.

Explanation:

The system of equations presented by the student:

-4x + 5y = 8

6x - y = 11

belongs to the topic of algebra, specifically to solving systems of linear equations. To find the values of x and y that satisfy both equations, we can use methods like substitution or elimination. Let's use elimination in this case:

Multiply the second equation by 5 so that the y terms will cancel out when we add the two equations together. The second equation becomes 30x - 5y = 55.

Add the modified second equation to the first equation:

-4x + 5y = 8
+ 30x - 5y = 55

____________________

26x         = 63

Solving for x, we find that x = 63/26.

Substitute x into one of the original equations to find y.

Using 6x - y = 11:

6(63/26) - y = 11

378/26 - y = 11

y = 378/26 - 286/26

y = 92/26

Therefore, the solution to the system of equations is x = 63/26 and y = 92/26.


Related Questions

Use the grouping method to factor the polynormial below completely. 10x^3 - 35x^2 + 6x - 21

Answers

The polynomial 10x^3 - 35x^2 + 6x - 21 is factored using the grouping method to obtain (2x - 7)(5x^2 + 3).

To factor the polynomial 10x^3 - 35x^2 + 6x - 21 using the grouping method, we first look for a common factor in each group separately and then factor out the common binomial factor.

Split the polynomial into two groups: (10x^3 - 35x^2) and (6x - 21).

Factor out the greatest common factor from each group: 5x^2(2x - 7) and 3(2x - 7).

Now we have 5x^2(2x - 7) + 3(2x - 7). Since both terms have a common binomial factor of (2x - 7), we can factor this out: (2x - 7)(5x^2 + 3).

So, the factored form of the polynomial 10x^3 - 35x^2 + 6x - 21 using the grouping method is (2x - 7)(5x^2 + 3).

how is the slope of a linear function related to the number of zeros for the function

Answers

Answer:

there should only be 1 zero for a linear function

Step-by-step explanation:

Answer:

First of all, when we say linear function that it should be taken note that the maximum number of zeroes should be one. The linear equation will not have a zero only if the line it produces is a vertical line and does not pass the origin

Step-by-step explanation:

i hope this helps you let me know if it does

Can someone pls tell me the answer to this . I’ll give you the brainly

Answers

Answer:

(10^7)y

Step-by-step explanation:

raise 10 to the 7th power

10 ^7

Multiply this and y

10^7 * y

(10^7)y

Write the standard equation for the circle center (-6,8) that passes through (0,0)

Answers

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, - 8), thus

(x + 6)² + (y + 8)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)

r = [tex]\sqrt{(0+6)^2+(0+8)^2}[/tex] = [tex]\sqrt{36+64}[/tex] = [tex]\sqrt{100}[/tex] = 10

Hence

(x + 6)² + (y + 8)² = 100 → D

Which type of data is best represented by a line graph?


A.each response shown by an X or dot


B.data that are compared using bars


C.change in data over time


D.parts of a total amount

Answers

C. change in data over time

Answer:

c. change in data over time

Step-by-step explanation:

How do I simplify this expression?

Answers

Answer:

15i√2

Step-by-step explanation:

5√(-18)

= 5√(-2 x 9)

= 5 x 3 x √-2

= 15√-2

= 15i√2

Answer:

15i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Require to know [tex]\sqrt{-1}[/tex] = i

Given

5[tex]\sqrt{-18}[/tex]

= 5[tex]\sqrt{9(2)(-1)}[/tex]

= 5 × [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex]

= 5 × 3 × [tex]\sqrt{2}[/tex] × i

= 15i[tex]\sqrt{2}[/tex]

Attachment Below Thanks Lots Of Points

Answers

Answer:

1A: The area of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square meter, a square foot, or a square inch.

1B: A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length

1C: A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

2A: A=wl

2B: A=πr to the power of 2

Step-by-step explanation:

1. Area = the measurement of the surface of a 2D shape.

Radius = a straight line from the center of a circle to its circumference.

Diameter = a straight line from one side of a circle to the other side, passing through the center point.

2. The area of a rectangle is found by multiplying the length by the width.

The area of a circle is found by multiplying the radius squared by PI.

3. Find the area of the paper and the area of the game pieces, then divide the area of the paper by the area of the game piece.

What is the closed linear form of the sequence 3, 4, 5, 6, 7, ...?
A) an = 2 + n
B) an = 2 - n
C) an = 3 + n
D) an = 3 - n

Answers

Answer:

Step-by-step explanation:

This is an arith. sequence.

The first term is 3 and the common difference is 1

Thus, the general formula for the nth term of this sequence is:

a(n) = 3 + 1(n - 1)   This matches Answer A

ANSWER

[tex]a_n=2+ n[/tex]

EXPLANATION

The given sequence has terms:

3, 4, 5, 6, 7, ...

The first term is

[tex]a_1=3[/tex]

The constant difference is

d=4-3=1

The general term is given by:

[tex]a_n=a_1 + d(n - 1)[/tex]

Substitute the first term and the common difference to get,

[tex]a_n=3+ 1(n - 1)[/tex]

Expand:

[tex]a_n=3+ n - 1[/tex]

[tex]a_n=2+ n[/tex]

The first choice is correct.

At lunch, 6 friends share 4 pizzas equally. What fraction of a pizza does each friend get? May 5th, 2019. (8:34pm.)

Answers

Answer:

each friend would get about 2/3 of a pizza

Step-by-step explanation:

you would take the total amount of pizza (4) and divide it by the friends (6) which would look like this: 4 / 6 = 0.6666 (repeating) which is equal to 2/3

i hope this helps :)

Who can help me out with this

Answers

Answer:

x=y+5

Step-by-step explanation:

Step-by-step explanation:

To solve for x in this case, we must first add 5 to both sides, resulting in:

x - 5 + 5 = y + 5

then simplify,

x = y + 5

And boom, you're done!

The graph of the function is shown. Which inequality represents the domain of the function?

Answers

Answer:

x≥-6

Step-by-step explanation:

The domain is every value of x.  Since the function does not include any values of x less than -6, x≥-6 is the domain.

The inequality which represents the domain of the function is y>=6 . Hence, option A is correct.

What is the domain of a function?

The domain of a function is the set of all possible input values. In other words , we could say the x - values for which valid y-values are obtained.

From the graph, the line depicts , valid y- values starting from -6 and higher.

Hence, the values include ;

-6, -5, -4, .....

Therefore, the correct option is A.

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I need to know what the answers is

Answers

Answer:

The most reasonable answer would be 7.

Step-by-step explanation:

ED is shorter than both EC and CD, and the root of 220 is 11 point something, so it would hae to be 7.

The answer would be 7.

Suppose you can chose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. Use the fundamental counting principle to find out how many different outfit combinations you can make.​

Answers

Answer:

You can make 10 combinations.

Step-by-step explanation:

you can make 10 combinations because all you have to do is just add all the numbers then you get 10

We want to find the total number of combinations of outfits, given that we know the number of each type of clothes that you have.

Using basic counting, we will get that there are 30 different outfit combinations.

Let's see how to get that:

To count the total number of combinations, the first thing we need to find is the selections.

Here we have 3 selections:

Selection of shirtSelection of pantsSelection of shoes.

Now we need to find the number of options for each one of these selections:

Selection of shirt (3 options)Selection of pants (2 options)Selection of shoes. (5 options)

To get the total number of combinations, we just need to multiply all of these numbers of options, we will get:

3*2*5 = 30

This means that there are 30 different outfit combinations.

If you want to learn more, you can read:

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Choose the correct simplification of the expression -5x(4x-6x^2-3)

Answers

Answer:

30x^3 -20x ²+ 15x

Step-by-step explanation:

-5x(4x-6x^2-3)= -20x²+30x^3+15x

-5x(4x-6x^2-3) = 30x^3 -20x ²+ 15x

30x^3-20x^2+15x

I think its the answer

a-b+c=3

a+b+c=7

Find a+c using substitution.

Answers

a+c=5. Please look at the attached image to see what I did

Mairisa gets $8 per week for an allowance. She saves 25% of her allowance each week. How long will it take Mauritania to save $16. Question :#7

Answers

8 weeks

First, find how much money Maurisa saves each week. 25% is the same as 1/4, and 1/4 of 8 is 2, so Maurisa saves $2 each week.

Finally, just divide $16 by $2 per week to find that Maurisa will take 8 weeks to save $16.

solve......... 6y + x = 8

Answers

Step-by-step explanation:

[tex]6y+x=8\\\\for\ x:\\\\6y+x=8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\6y-6y+x=8-6y\\\\\boxed{x=8-6y}\\\\for\ y:\\\\6y+x=8\qquad\text{subtract}\ x\ \text{from both sides}\\\\6y=8-x\qquad\text{divide both sides by 6}\\\\\boxed{y=\dfrac{8-x}{6}}[/tex]

a rectangular solid has sides of 7 cm, 9 cm and 11 cm. what is the surface area?​

Answers

Answer:

7multiply by 9=63

7by11=77

9by11=99

Answer=63+77+99=239

Step-by-step explanation:

Which statements about the graph of the function y=(1/3)^x are true?

The function is increasing.

The function is decreasing.

The x-intercept is (1, 0).

The y-intercept is (0, 1).

The range of the function is all real numbers.

Answers

Answer: B and D

Step-by-step explanation: Just answered on edg.

About the graph of the function option (B) the function is decreasing and option (D) the y-intercept is (0, 1) is the correct answer.

What is graph of a function?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The function is  y=(1/3)^x.

Plot this function in the graph as shown below.

From the graph, the y-intercept is (0,1) and the function is decreasing function.

Hence we can conclude that about the graph of the function option (B) the function is decreasing and option (D) the y-intercept is (0, 1) is the correct answer.

Learn more about graph of a function here

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Solve system of equation.

2x+y=10

-2x+2y=5

Answers

Answer:

(2.5,5)

Step-by-step explanation:

thats the answer

Answer:

The solution point is (2.5, 5)

Step-by-step explanation:

This is one of the very first steps you need to take in order to solve 2 equations with 2 unknowns. This does not require that you make any adjustments.

2x + y  =  10

-2x +2y = 5        Just add. The xs cancel.

3y = 15                Divide by 3

3y/3 = 15/3

y = 5

=========

Now use one of the equations (the top one is easier) to solve for x

2x + y = 10      Substitute y = 5

2x + 5 = 10      Subtract 5

2x +5-5 = 10-5  

2x = 5              Divide by 2

x = 2.5

The solution point is (2.5 , 5)

Nicole opens a savings account with an initial deposit of $5,000. since then, she has never made any other deposits or withdrawals. her savings account earns 4℅ intrest compounded monthly. which equation gives the approximate amount, A(x), she has in her savings account as a function of x, the number of years since her initial deposit?

1. A(x)= 5,000^(0.96x)

2. A(x)= 5,000(0.959)^x

3. A(x)= 5,000 + 0.04x

4. A(x)= 5,000^(1.04x)

5. A(x)= 5,000(1.041)^x​

Answers

Answer:

Option 5.  [tex]A(x)=\$5,000(1.041)^{x}[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=x\ years\\ P=\$5,000\\ r=0.04\\n=12[/tex]  

substitute in the formula above  

[tex]A=\$5,000(1+\frac{0.04}{12})^{12x}[/tex]  

[tex]A=\$5,000(1.041)^{x}[/tex]  

32 lb 12 oz = ____ lb

Answers

Answer:

32.75

Step-by-step explanation:

12 oz = 0.75 lbs

0.75 lbs + 32 lbs = 32.75 lbs

2. In the figure, what is mLC

Answers

50° is the answer since the the circumscribed angle is 1/2 of the arc on the opp side

Answer:

50° is the answer since the the circumscribed angle is 1/2 of the arc on the opp side

Step-by-step explanation:

Find three solutions of the equation. y=2x-6
A) (-2,-10), (1,-4), (2,-1)
B) (-2,-10),(1,-4), (0,-6)
C) (0,-6), (3,-2), (-2,-10)
D) (1,-4),), (0,-6), (-1,-9)

Answers

Answer:

B

Step-by-step explanation:

put the values of x and y into the equation respectively.

if LHS =RHS then it is a solution

e.g put (-2,-10) into the equation

-10=2(-2)-6

-10=-10

hence is a solution .

or put x value into the equation such as

(-2,-10)

y=2(-2)-6

the ans should be y=-10.As u can see is equal to the solution given.Hence is a solution.

What is the exact area of a circle having radius 7 in.?

Answers

Soo to get the are you need to follow the formula
Area= pi multiplied by radius (squared)
I don't have the right symbols sorry. Anyways let's continue
First multiply pi which is 3.14 then multiply it to the radius, since the radius is squared then you have to multiply it twice

Solution:
Pi(3.14)xradius that is squared (7 raised to the power of two)
3.14 x 7 x 7= 153.86

A washer and a dryer cost $816 combined. The washer costs $66 more than the dryer. What is the cost of the dryer?

Answers

Answer:

$342

Step-by-step explanation:

816/2 = 408

408-66=342

Answer: 342

Step-by-step explanation: you take 816 divide it by 2 (408) then u subtract 66 from that and u get 342. The price of the washer would cost 474 if u wanna add them to check my work.

The dimensions of a box are x, 2x, and 3x. Each dimension is decreased by 2. Calculate the volume of the box.

A) 3x^3-12-8
B)-1x^6
C)6x^3-22^2+24x-8
D)40x^3



Answers

Answer:

Correct choice is C) [tex]6x^3-22x^2+24x-8[/tex].

Step-by-step explanation:

Given that the dimensions of a box are x, 2x, and 3x.

Now each dimension is decreased by 2.

Then new dimensions of a box are (x-2), (2x-2), and (3x-2).

Now let's calculate the volume of the box which is given by

Volume = (Length) x (Width) x (Height)

[tex]=(x-2)(2x-2)(3x-2)[/tex]

[tex]=(2x^2-6x+4)(3x-2)[/tex]

[tex]=(2x^2-6x+4)(3x-2)[/tex]

[tex]=6x^3-22x^2+24x-8[/tex]

Hence correct choice is C) [tex]6x^3-22x^2+24x-8[/tex].

What is the value of x to the nearest tenth?
A)7.2
B)9.2
C)4.8
D)12.0

Answers

Answer:your answer is C

Step-by-step explanation:

Jorge has $138.22 in his savings account. He deposits $10.75 every week and withdraws $31.68 every four weeks. What will his balance be in 8 weeks?

Answers

Answer:

Pretty sure the answer is $160.86

Step-by-step explanation:

you start off by multiplying 10.75 x 8 because that's how much he'll deposit at the end of an 8 week spand.

adding 86+138.22= 224.22

then you subtract 31.68 two times from that as he withdraws 2 times in the 8 weeks, giving you the answer of 160.86.

hope this helps xx have a good day :)

I’m guessing the end total would be $299.08. Somewhere around that number.

find the midpoint of the segment with the following endpoints (2,4) and(8,8)

Answers

Answer:

(5,6)

Step-by-step explanation:

just answered a similar question for you a while ago so I have updated by response to match the different values:

the midpoint formula is

(x1 + x2/2) , (y1 + y2/2) <-- both the x1 and y1 coordinates also are divided by 2

so to solve for the midpoint, we take our endpoints and plug it into the formula

we will list the coordinates as the following to plug it into the formula:

x coordinate 1 = 2

x coordinate 2 = 8

y coordinate 1 = 4

y coordinate 2 = 8

substituting these values into the formula we get this:

x =(2 + 8/2) , y = (4 + 8/2)

x = 2 + 8 = 10/2 = 5 which is our x coordinate for the midpoint

y = 4 + 8 = 12/2 = 6 which is our y coordinate for the midpoint

in an ordered pair it would be (5, 6)

Final answer:

The midpoint of the segment with the endpoints (2,4) and (8,8) is (5, 6).

Explanation:

The midpoint of a line segment is the point that is equidistant from both endpoints. To find the midpoint of a segment with endpoints (2,4) and (8,8), we can use the midpoint formula.

The midpoint formula is given by:

M = (x1 + x2)/2, (y1 + y2)/2

Using the given endpoints, we substitute the values into the formula:

M = (2 + 8)/2, (4 + 8)/2 = (10/2, 12/2) = (5, 6)

Therefore, the midpoint of the segment with the given endpoints is (5, 6).

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