Solve the system and write your answer as a coordinate point. I
(1 Point)
-6x – 3y = 24
4x – 2y = 8

Answers

Answer 1

Answer:

The solution of the system is:

(x, y) = (-1, -6)

Step-by-step explanation:

Given the system of equations

-6x – 3y = 24

4x – 2y = 8

solving the system of equations

[tex]\begin{bmatrix}-6x-3y=24\\ 4x-2y=8\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-6x-3y=24\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-12x-6y=48[/tex]

[tex]\mathrm{Multiply\:}4x-2y=8\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:12x-6y=24[/tex]

so

[tex]\begin{bmatrix}-12x-6y=48\\ 12x-6y=24\end{bmatrix}[/tex]

adding the equations

[tex]12x-6y=24[/tex]

[tex]+[/tex]

[tex]\underline{-12x-6y=48}[/tex]

[tex]-12y=72[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}-12x-6y=48\\ -12y=72\end{bmatrix}[/tex]

solve -5y=72 for y

[tex]-12y=72[/tex]

Divide both sides by -12

[tex]\frac{-12y}{-12}=\frac{72}{-12}[/tex]

Simplify

[tex]y=-6[/tex]

[tex]\mathrm{For\:}-12x-6y=48\mathrm{\:plug\:in\:}y=-6[/tex]

solving

[tex]-12x-6\left(-6\right)=48[/tex]

[tex]-12x+6\cdot \:6=48[/tex]

[tex]-12x+36=48[/tex]

subtract 36 from both sides

[tex]-12x+36-36=48-36[/tex]

Simplify

[tex]-12x=12[/tex]

Divide both sides by -12

[tex]\frac{-12x}{-12}=\frac{12}{-12}[/tex]

[tex]x=-1[/tex]

Therefore, the solution of the system is:

(x, y) = (-1, -6)


Related Questions

???? ??/????//??????

Answers

He would pay $535 for 100 square ft tiles

The "off-peak” weekly average cost of hiring a caravan in England is £480.
In July the average cost increases to £850.
Calculate the percentage increase in cost.
Give your answer to 2 significant figures.​

Answers

Answer:

77.08%

Step-by-step explanation:

850 - 480 = 370

(370 / 480 ) × 100 = 77.08333333%

Answer:

77%

Step-by-step explanation:

What’s the answer because dk

Answers

Answer:

I believe the answer to part A is 55. I just added the number of french speakers to the number of females and then subtracted 16. If that answer is correct, then the answer to part b is 68.75%

Find


(a) the value of q in radians

(b) the area of the shaded region in cm²​

Answers

Answer:

(a) 1.18

(b) 99.71

Step-by-step explanation:

to know the value of q in degrees we can use cosine of q

[tex]\cos (q) = \frac{OR}{OQ}\\\\\cos (q) = \frac{5}{13}\\\\q = \cos^{-1}(\frac{5}{13})\\\\q \approx 67.38[/tex]

now to radians

the formula is

[tex]x\times\frac{2\pi}{360}\\\\[/tex]

with x the degrees

[tex]67.38\times \frac{2\pi}{360}\\\\=\frac{67.38\pi}{180}\\\\\approx 0.374\pi\\\\\approx 1.18[/tex]

so the measure of angle q is 1.18 radians

so now for part b

[tex]A = \frac{r^2 \alpha }{2}\\\\[/tex]

with [tex]\alpha[/tex] being the central angle in radians

for degrees is the following

[tex]A = \frac{\theta}{360}\times \pi r^2[/tex]

so we have

[tex]A = \frac{13^2 (1.18)}{2}\\\\A = 99.71[/tex]cm^2

Please help with this!

Tell whether x and y show direct variation. True or False?

Answers

False you wlecomeeeee

What is the value of cos θ given that (-2, 9) is a point on the terminal side of θ?

Answers

Answer:

a)  cosθ  = [tex]\frac{-2\sqrt{85} }{85}[/tex]

Step-by-step explanation:

Step(i):-

Given point ( x , y ) = ( - 2 , 3 )

We know that the polar co-ordinates

  x = r cos θ and y = r sinθ

where   [tex]r = \sqrt{x^{2} +y^{2} }[/tex]  

            [tex]r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}[/tex]

Step(ii):-

           x = r cos θ

          cosθ   [tex]= \frac{x}{r}[/tex]

      cosθ  = [tex]\frac{-2}{\sqrt{85} } = \frac{-2}{\sqrt{85} } X \frac{\sqrt{85} }{\sqrt{85} }[/tex]

       cosθ  = [tex]\frac{-2\sqrt{85} }{85}[/tex]

6+ a/4= -5
2 = n/2-10

PLEASE HELP DUE TODAY JUST 2 QUESTIONS LEFT WHICH THESE ARE THE ONE'S

Answers

Answer # 1: 6+ a/4= -5 Answer # 2: n = 24

I NEED HELP ASAP!!!!!!!

A. m= -2
B. m= -1/2
C. m= 2
D. m= 1/2

Answers

Answer:

A. m = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 0)

Point (1, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                    [tex]\displaystyle m=\frac{-2-0}{1-0}[/tex][Fraction] Subtract:                             [tex]\displaystyle m=\frac{-2}{1}[/tex][Fraction] Divide:                                [tex]\displaystyle m=-2[/tex]

Simplify tan0 •sin 0+ cot0 •sin0

Answers

Answer:

0

Step-by-step explanation:

tan0 •sin 0+ cot0 •sin0 =

tan(0) • sin(0) + cot(0) • sin(0) =

(tan(0) × sin(0)) + (cot(0) × sin(0)) =

(0 × 0) + (0 × 0) = 0 + 0 = 0

HELP PLEASE I WILL GIVE BRAINLIEST IF YOU DO ALL

Answers

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Henry solved the equation 3 (m + 2) = 12 + m
and needs help checking his work. If m = 3, then
help Henry by checking if he solved the equation
correctly. Show your work on the line paper
provided.
Equation: 3(m + 2) = 12 + m
m = 3

Answers

Answer:

Henry derived the value of m correctly

Step-by-step explanation:

insert m into the equation

3(3+2)=12+3

3(5)=15

15=15

Henry derived the value of m correctly

The total cost of a ticket and the online fee for one ticket is $32.25.Let f represent the cost of ordering each ticket online.Write an equation that could be used to find the cost of ordering each ticket online.

Answers

Answer:

The equation is f = z - x

Step-by-step explanation:

The equation is

Given that

The total cost + online fee for one ticket is $32.25

Let us assume f be the cost of ordering each ticket online

Cost of each ticket be x = $24.95

And, the total cost = z = $32.25

Now the equation would be

x + f = z

So for f it would be

f = z - x

Help. Algebra rjsffjdnsifvnswkfnc

Answers

Answer:

No x-intercept/Zero

Step-by-step explanation:

f(x)=3x(3/4)x-4

To find x-intercept/zero, substitute f(x)=0

0=3x(3/4)x-4

To raise a fraction to a power, raise the numerator and denominator to that power

0=3x 3 x-4/4 x-4

Calculate the product

0=3 x-3/4 x-4

Since the right-hand side is always positive, the statement is false for any value of x

Since there is no solution for f(x)=0, there is no x-intercept/Zero  

The population of New York City is approximately 8 x 106. The population
of San Francisco is approximately 8 x 105. About how many times larger
is the population of New York than the population of San Francisco?

Answers

Answer:

I think if I'm understanding it right it's 8 times larger but that may be wrong

In which quadrant does the point (10 , 25) lie?

Answers

Answer:

First quadrant

Step-by-step explanation:

Since, both x and y coordinates of the given point are positive.

Therefore, the point (10 , 25) lie in the first quadrant.

Complete the equation.
-6x2 + 15x – 6 = -3(2x - 1)(x + _)
A. 2
B. -2
C. -3
D. 6

Answers

C because since this is a incomplete equation, finding the missing area all you have to do is divide

cosa/(1+sina)+cosa/(1-sina)=2seca
prove this:)​

Answers

Answer:

Please check explanations

Step-by-step explanation:

Using the difference of two squares, the lowest common multiple becomes;

1-sin^2 a

Thus, we have that;

cos a (1-sin a) + cos a (1 + sin a) /1 - sin^2 a

1 - sin^2 a = cos^2 a

That means;

{cos a - cos a sin a + cos a + cos a sin a}/ cos^2 a

= 2cos a / cos^2 a

= 2/cos a

but 1/cos a = sec a

Thus;

2/ cos a = 2 sec a

What is the dilation for the transformation below?​

Answers

Answer:

The dialation is of 2

Step-by-step explanation:

QR = 3 units

QS = 2 units

RS = 2 units

Q'R' = 6 units

Q'S' = 4 units

R'S' = 4 units

So as you can see, this triangle has doubled it's size, since it has been multiplied by 2.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Simplify the expression. -5/8(-3/8-1/4) ​

Answers

Answer:

25/64

Step-by-step explanation:

To get this answer, first you need to use the distributive property:

(-3/8)(-5/8) - (1/4)(-5/8)

Next, multiply:

15/64 - (-5/32)

Change the negative signs into a positive sign:

15/64 + 5/32

Multiply 5/32 by 2 on both top and bottom:

15/64 + (5)(2)/(32)(2)

You will then get:

15/64 + 10/64

Now, add the numerators. You will get:

25/64

This is your answer. I hope it helped!

Determine the equation of the line that goes through points (1.1) and (3.7).

Answers

Answer:

The equation of the line that goes through points (1,1) and (3,7) is [tex]\mathbf{y=3x-2}[/tex]

Step-by-step explanation:

Determine the equation of the line that goes through points (1,1) and (3,7)

We can write the equation of line in slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=1, y_1=1, x_2=3, y_2=7[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3[/tex]

We get Slope = 3

Finding y-intercept

y-intercept can be found using point (1,1) and slope m = 3

[tex]y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2[/tex]

We get y-intercept b = -2

So, equation of line having slope m=3 and y-intercept b = -2 is:

[tex]y=mx+b\\y=3x-2[/tex]

The equation of the line that goes through points (1,1) and (3,7) is [tex]\mathbf{y=3x-2}[/tex]

Please help ASAP!!!!!

Answers

Given:

The graph of set of ordered pairs.

To find:

The domain of the set of number.

Solution:

Domain is the set of input values or x-values.

From the given graph it is clear that the set of ordered pair is:

{(1,2), (2,4), (3,1), (4,6), (5,4), (6,5)}

Here, the x-values are 1, 2, 3, 4, 5, 6. So, the domain is the set of these values.

Domain = {1, 2, 3, 4, 5, 6}

Therefore, the correct option is A.

i need to do this for extra credit because my low grade...someone please help me!! i’ll make you a brainliest:)

Answers

Answer:

A. 4+4

B. 2x4

C. a=2

D. a=5 b=7

What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6

Answers

Answer:

6:8:10:12

Step-by-step explanation:

Scale factor of 2-

3:4:5:6

multiply each number by 2

6:8:10:12

Please help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

cero que la pregunta es el numero cuatorce

Step-by-step explanation:

as it may not be much, It's the best i can do, with such little wealth, take my earning, consider thy points as your spoils.






1^2 +68=69 skippa bap

Answers

Answer:

Thank you!

Step-by-step explanation:

Have a nice day/night lol

Answer:

1^2 +68=69

Step-by-step explanation:

by sqrt rooting 2 by 1 is 1

Guys please help..

I have 2 questions, please help with both

1. Find the Time in years if Principal, p= 6500, Rate (p. a)= 7% and Simple Interest, SI = Rs . 1365

2. If 80% of the students of a class of 40 students like Mathematics, then the number of students who do not like it is _______

Please answer soon

Answers

Answer:

1. I=P*i*t

1365=6500*7%*t

1365=455*t

t=3

2.-Students 40

   Like mathematics

= 40*80

=32

Don´t like it is

=40-32

=8

Step-by-step explanation:

1. I=P*i*t

1365=6500*7%*t

1365=455*t

t=3

2.-Students 40

   Like mathematics

= 40*80

=32

Don´t like it is

=40-32

=8

Identify the scale factor used to graph the image below

Answers

Answer:

[tex]Scale = \frac{2}{3}[/tex]

Step-by-step explanation:

To solve this question, I'll use the coordinates of SV and S'V' as points of reference.

From the attachment:

[tex]S = (3,6)[/tex]

[tex]V = (15,3)[/tex]

[tex]S' = (2,4)[/tex]

[tex]V' = (10,2)[/tex]

First, calculate distance SV

Distance formula is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

For SV:

[tex]d_1 = \sqrt{(15 - 3)^2 + (3 - 6)^2}[/tex]

[tex]d_1 = \sqrt{(12)^2 + (-3)^2}[/tex]

[tex]d_1 = \sqrt{144 + 9}[/tex]

[tex]d_1 = \sqrt{153}[/tex]

For S'V'

[tex]d_2 = \sqrt{(10 - 2)^2 + (2 - 4)^2}[/tex]

[tex]d_2 = \sqrt{64 + 4}[/tex]

[tex]d_2 = \sqrt{68}[/tex]

The scale factor is then calculated using:

[tex]Scale = \frac{S'V'}{SV}[/tex]

[tex]Scale = \frac{d_2}{d_1}[/tex]

Substitute values of d1 and d2

[tex]Scale = \frac{\sqrt{68}}{\sqrt{153}}[/tex]

[tex]Scale = \sqrt{\frac{68}{153}}[/tex]

[tex]Scale = \sqrt{\frac{1}{2.25}}[/tex]

[tex]Scale = \frac{1}{1.5}[/tex]

Express as a proper fraction

[tex]Scale = \frac{1*2}{1.5*2}[/tex]

[tex]Scale = \frac{2}{3}[/tex]

Lynns mom is baking treats for lynns birthday party. She has 12 eggs to use for this purpose. A batch requires two eggs and a batch of brownies requires 3 eggs. Write an inequality to match this solution.

Answers

Answer: 2x +3y ≤ 12

Step-by-step explanation:

Given: Lynn's mom has 12 eggs to use for this purpose..

i.e. she can use maximum 12 eggs.

A batch of cookies requires two eggs and a batch of brownies requires 3 eggs.

Let x= Number of batches of cookies , y= Number of batches of brownies

Then, 2x +3y ≤ 12 (maximum eggs = 12)

hence, the required inequality :  2x +3y ≤ 12

put (six times the daily amount of fiber f in your diet) in an algebraic expression

Answers

Answer:

6f

Step-by-step explanation:

As part of a grand opening, an arcade gave out free tokens to the first 100 customers. If you spent $5, you got 61 tokens. If you spent $6, you got 72 dollars, if you spent $7 you got 83. Construct an equation in y = mx + b

Answers

Answer:

your teacher is they are giving out FREEE tokens so why do you have to pay

Step-by-step explanation

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