Solve the following system using the addition method:
-27x + 6y = -21
-12x +3y = -9
(3 points, 2 for work, 0.5 for each part of the solution (x,y))

Answers

Answer 1

Answer:

(x, y) = (1, 1)

Step-by-step explanation:

[tex] -27x + 6y = -21 [/tex] --- (1)

[tex] -12x +3y = -9 [/tex] --- (2)

Multiplying (2) by -2 to get:

[tex] 24 x - 6 y = 1 8 [/tex] --- (3)

Adding (1) and (3) to get:

[tex]-27x + 6y = -21[/tex]

[tex]24x-6y=18[/tex]

------------------------------------

[tex]-3x=-3[/tex]

x = 1

Finding y:

[tex]-12(1) +3y = -9[/tex]

[tex]3y=-9+12[/tex]

[tex]3y=3[/tex]

y = 1

Therefore, (x, y) = (1, 1).

Answer 2

(X,Y)= (1,1)

Explanation:

Solve The Following System Using The Addition Method:-27x + 6y = -21-12x +3y = -9(3 Points, 2 For Work,

Related Questions

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

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.

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

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.

Point P (-1, 2) is the center of a circle. The radius of the circle is 3 units. Which point lies on the circle? PLEASE HELP!

Answers

Answer:

(2,2), (-1,5), (-3,2), (-1,-1)

Step-by-step explanation:

The radius is the distance from the center of the circle to the outside. So, adding or subtracting 3 from the x-value of the center point will give you a point that lies on the circle. Doing the same to a y-value will as well. However, never add or subtract from both.

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).

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

Michael is organizing 5,272 blocks into bins at the toy store. He needs to put the same number of blocks in each bin without any leftover blocks. How many bins could Michael use for the blocks? A) 3. B) 4. C) 5. D) 9.

Answers

B. plz mark brainly

Answer: B) 4 bins

Step-by-step explanation:

The criteria of divisibility are rules that serve to know if a number is divisible by another without having to perform the division.

Divisibility by 3 (or 9)

A number is divisible by 3 (or 9) if and only if the sum of its digits is divisible by 3 (or 9).

5,272

5 + 2 + 7 + 2 = 16

1 + 6 = 7 →This number isn't divisible by 3, therefore 5,272 isn't divisible by 3

Divisibility by 5

Divisibility by 5 is easily determined by checking the last digit in the number , and seeing if it is either 0 or 5. If the last number is either 0 or 5, the entire number is divisible by 5.

5,272 → the last digit is 2; isn't 0 or 5, therefore 5,272 isn't divisible by 5.

Divisibility by 4

The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4

5,272

the last two digits are 72, and 72/4 = 18

72 is divisible by 4, therefore 5,272 is divisible by 4

Since 5,272 is divisible by 4, Michael can use 4 bins to organize the blocks, and he needs to put 5,272/4 = 1,318 blocks in each bin.

Answer: B) 4 bins

[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​

Four-fifths of a number is -24. What is the number ?

Answers

-20 is the anwser

4*(-24)/5 =-20

Answer: -30

(4/5)x=-24

x=(-24)(5/4)=-6*5=-30

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:

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)

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:

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!

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

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]

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.

Learn more on domain : https://brainly.com/question/30242164

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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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the school put up a new fence the East and West sides were each 12 meters long the North and South sides where each 10 m long how many meters of fencing did they use​

Answers

Answer:

12+12 for east and west equals 24

10+10 for north and south equals 20

24+20 equals 44

In the end they used 44 meters of fence

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

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

Please help !
The point slope form of the equation of the line that passes through -5 -1 and 10 -7 is y+7=-2/5(x-10). What is the standard form of the equation for this line?

A - 2x-5y=-15
B - 2x-5y=-17
C - 2x+5y=-15
D - 2x+5=-17

Answers

Answer:

C. 2x +5y = -15

Step-by-step explanation:

You want the form ax +by = c. To get that form, you need to put the x-term on the left (making sure its sign is positive) and the constant on the right.

Multiply by 5:

5y +35 = -2(x -10)

Eliminate parentheses:

5y +35 = -2x +20

Add 2x-35

2x + 5y = -15 . . . . . . corresponds to selection C

_____

Be careful of dashes when writing answers. They can be confused with minus signs.

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

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

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].

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.

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 :)

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]  

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.

What’s This Answer I Need Help I’m struggling with man

Answers

Area: 3915

L X W

Perimeter: 264

Add all sides

I don't know what it means by type, sorry

area: 3915 mm

perimeter: 264

type: rectangle

Step-by-step explanation:

to find the area multipluy 87 and 45

to fin perimeter add 87 and 45. then multipluy by 2

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.

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:

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