What is the solution to the system of linear equations? Write you answer as a coordinate. 2x − y = 4 5x + 2y = 10 Show All Work !!

Answers

Answer 1

Answer:

(2, 0)

Step-by-step explanation:

2x - y = 4

5x + 2y = 10

Solve by elimination by multiplying the top equation by 2, so the y values will cancel out (-2y + 2y = 0)

4x - 2y = 8

5x + 2y = 10

Add them together and solve for x:

9x = 18

x = 2

Plug in 2 as x in one of the equations to find y:

2x - y = 4

2(2) - y = 4

4 - y = 4

-y = 0

y = 0

The solution is (2, 0)


Related Questions

Ikyume is 62m away from Amadi, on a bearing of 012°. Becky is 42m away from Ikyume and on bearing of 082°. How far is Amadi from Becky, and on what bearing?

Answers

Answer:

Amadi is 86m far from Becky

Amadi is on the bearing of 78° .

Step-by-step explanation:

From the information given ,

let I represent Ikyume

A represent Amadi  and B represent Becky

From the information in the diagrammatic expression shown below:

Using cosine rule;

i² = a² + b² - 2ab cos (I)

i² = 42² + 62² - 2(42×62) cos (110°)

i² =  1764 + 3844 - 5208 (- 0.342)

i² =  1764 + 3844 -  ( - 1781.136)

i² = 1764 + 3844 + 1781.136

i² = 7389.136

i = [tex]\mathtt{\sqrt{7389.136}}[/tex]

i = 85.96

i [tex]\simeq[/tex] 86 m

Amadi is 86m far from Becky

From  point I , 12° = 12° at point A (alternate  angles)

In that quadrant = 90 - 12° = 78°

Therefore, Amadi is on the bearing of 78° .

The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and ______ in the denominator.

Answers

Answer:

So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.

Step-by-step explanation:

[tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex]

Factorizing the expressions we have

[tex]\frac{x^{2} + 3x -2x - 6}{x^{2} -x - 5x + 5} X \frac{x^{2} + 3x - x - 3}{x^{2} -2x -5x + 10}[/tex]

[tex]\frac{x(x + 3)- 2(x + 3)}{x(x -1) - 5(x - 1)} X \frac{x(x + 3) - 1(x + 3)}{x(x - 2) - 5(x - 2)}[/tex]

[tex]\frac{(x + 3)(x - 2)}{(x - 5)(x - 1)}X\frac{(x + 3)(x - 1)}{(x - 2)(x - 5)}[/tex]

Cancelling out the like factors, (x -1) and (x - 2), we have

[tex]\frac{(x + 3)(x + 3)}{(x - 5)(x - 5)}[/tex]

= [tex]\frac{(x + 3)^{2} }{(x + 5)^{2} }[/tex]

So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.

Helppp thanksss!!!!!!

Answers

Answer:

1 mile

Step-by-step explanation:

in 20 minutes Stuart has gone 1 mile

in 20 minutes Brandy has gone 4 miles

therefore they meet 1 mile from Stuart's house

Answer:

1 mile

Step-by-step explanation:

Simplify to create an equivalent expression.
5(10k + 1) + 2(2+8k)

Answers

Answer:

66k+9

Step-by-step explanation:

Let's simplify step-by-step.

5(10k+1)+2(2+8k)

Distribute:

=(5)(10k)+(5)(1)+(2)(2)+(2)(8k)

=50k+5+4+16k

Combine Like Terms:

=50k+5+4+16k

=(50k+16k)+(5+4)

=66k+9

Answer:

=66k+9

HOPE THIS HELPS!!!!!! :)

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Gavin is selling water bottles at a baseball game to help raise money for new uniforms.
Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of
the bottles for $1.25 each. How much profit does Gavin make?

Answers

The profit made by Gavin at the end of the game is $0.87 per bottle.

How to calculate profit?

The profit can be calculated by taking the difference of selling price and the cost price.

Given that,

The number of bottles bought for $18.50 is 48 and sold for $1.25 each.

Then, the cost for one bottle is 18.50/48 = $0.38.

As per the question the profit made can be calculated as the difference of selling price and cost price as,

Profit = Selling price - Cost Price

         =  1.25 - 0.38

         = $0.87

Hence, the profit earned by Gavin is given as $0.87 for each bottle.

To know more about profit click on,

https://brainly.com/question/7544724

#SPJ6

what is y ? x=1 y=? y=3x-7

Answers

Answer:

-4.

Step-by-step explanation:

y = 3x - 7; x = 1.

y = 3(1) - 7

= 3 - 7

= -4

Hope this helps!

Answer:

y = - 4

Step-by-step explanation:

y=3x-7

Let x =1

y = 3*1 -7

y = 3-7

y = - 4

3-2(x-1)=2+4x
How do you solve

Answers

Answer:

x = 1/2

Step-by-step explanation:

3 - 2(x - 1) = 2 + 4x

3 - 2x + 2 = 2 + 4x

-2x + 5 = 2 + 4x

-2x - 4x = 2 - 5

-6x = -3

x = -3/-6

x = 1/2

You would multiply the negative two by x then the negative to by negative one then you would get 3-2x+2=2+4x then you would ad 2 x to 4x and get 6x the. Subtract 3-2 and you would get 1 the. You would subtract the 2 from the 1 and get -1 and you would get -1=6x so you would divide 6x and 1 and you would get x=-1/6 ( hope this helps)

-4-(3+6²)÷13-1²•(-12)=

Answers

Answer:

5

Step-by-step explanation:

-4-(3+6²)÷13-1²•(-12)=

PEMDAS

parrenthesis:

-4-81÷13-1² x (-12)

exponent:

-4-81÷12 x (-12)

multiplication:

-4-81÷ (-144)

divison:

- 4 - (- 9)

subtraction (Actaully addition +):

= 5

-(- makes plus so -4 + 9 makes 5

Hope this helps, have a good day!! :)

solving polynomial(-2y-6)(-3y-8)​

Answers

Answer:

(-2y-6)(-3y-8)

= 6y²+16y+18y+48

= 6y²+ 34 y +48

Hope this helps

if u have question let me know in comments ^_^

Answer:

Here is your answer!!!

Step-by-step explanation:

-2y(-3y-8)-6(-3y-8)

6y^2+16y+18y+48

6y^2+34y+48

Convert the following: 2 liters is equivalent to ounces (rounded to the nearest hundredth)

Answers

Answer:

67.63 oz

Step-by-step explanation:

1 liter = 33.814 oz

2 litres = 2 x 33.814 oz = 67.628 oz

Factor completely 3x^2 - x - 4

A.(3x - 4)(x + 1)

B.(3x + 4)(x - 1)

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

D.(3x - 1)(x + 4)

Answers

Answer:

B. [tex](3x-4)(x+1)[/tex]

Step-by-step explanation:

Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5.

Answers

Answer:

y = - 140

Step-by-step explanation:

Given that y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = - 180 when z = 15 and x = - 3, thus

- 180 = k × - 3 × 15 = - 45k ( divide both sides by - 45 )

4 = k

y = 4xz ← equation of variation

When x = 7 and z = - 5, then

y = 4 × 7 × - 5 = - 140

Jake ran 4 1/4 miles on Monday and 2 2/3 miles on Tuesday. On Wednesday he ran 1 fewer miles then he ran on Monday. How many miles did he run in all? PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN

Answers

Answer:

Jake ran 10 1/6 miles in total

Step-by-step explanation:

4 1/4 + 2 2/3 - (4 1/4-1).

                  v

6 11/12 + 3 1/4

          v

6 11/12 + 3 3/12 = 10 1/6

Jake ran 10 1/6 miles in total (Mon, Tues, Wed).

Answer:

61/6 or 10.1666666667

Step-by-step explanation:

Monday = 4  1/4

Tuesday = 2  2/3

Wednesday = Monday - 1

=> Monday = 17/4 miles

=> Tuesday = 8/3 miles

=> Wednesday = 17/4 - 4/4 = 13/4 miles.

=> (17/4 + 13/4) + 8/3

=> 30/4 + 8/3

=> Take the LCM of the denominators.

=> LCM = 12

=> 90/12 + 32/12

=> 122/12

SImplify 122/12

=> 61/6 or 10.1666666667

Y=-5x+30 x=10 what is the solution to the system of equations 1)(-20,10) 2)(10,-20) 3)(10,4) 4)(4,10)

Answers

Answer:

            2) (10, -20)

Step-by-step explanation:

y = - 5x + 30  and  x = 10  ⇒  y = -5•10 + 30 = -50 + 30 = -20

x = 10  and y = -20   ⇒  (10, -20)

Answer:

Its B. (10, –20)

Step-by-step explanation:

I just took the quiz on edge

Solve the equation for X (If possible please show work)

Answers

Answer:

the correct answer is x=5

Hellllllllllppppppppppp please

Answers

Answer:

As x decreases in value.f(x) decreases in value.......

can someone plzz answer dis ma braincells dont seem to work ​

Answers

Answer:

Good luck undersatnding.

Step-by-step explanation:

1.

A) 27 (over) 4

B)  97 (over) 117

2.

C) 8

D) -243 (over) 32

3.

Square root of 25 is 5

Square root of 16 is 4

Square root of 9 is 3

Square root of 1 is 1

4.

E)  553 (over) 72

F) 11 (over) 56

G) 65 (over) 18

H) 28 (over) 9

5.

E) 35941

F) 81130

G) 79567.75

H) 20525.857

I dont know 7-8

9.

E) Negative

F) Positive

G) Positive

H) Negative

10.

Square root of 25 is 5

Square root of 64 is 8

Square root of 121 is 11

Square root of 225 is 15

I couldn't post images for 6, it wont let me.

What is the median of the following set of measurements?
"22 kg, 24 kg, 28 kg, 19 kg, 27 kg",
The median of the measurements is kg.

Answers

Answer:

24 kg

Step-by-step explanation:

The median can be found by putting the numbers in order and then finding the middle value.

In order from least to greatest:

19, 22, 24, 27, 28

24 is the middle value

So, 24 kg is the median.

Answer:

24 kg

Step-by-step explanation:

The median is the number in the middle of the data set. To find the median, arrange the numbers from least to greatest, then locate the middle number.

1. Arrange the numbers from least to greatest

Numbers: 22 kg, 24 kg, 28 kg, 19 kg, 27 kg

Least to greatest: 19 kg, 22 kg, 24 kg, 27 kg, 28 kg

2. Locate the middle number

Cross one number off each end of the set until the middle is reached.

19 kg, 22 kg, 24 kg, 27 kg, 28 kg

Cross off 19 and 28

22 kg, 24 kg, 27 kg

Cross off 22 and 28

24 kg

The middle number has been reached.

median= 24 kg

The median of the measurements is 24 kilograms.

A study table of length 2 m and breath 1.25 m in decorted with square design of size 10x 10 find the number of such designs??? ​

Answers

Answer:

250

Step-by-step explanation:

Assuming that the shape of the table be rectangular in nature.

Area of the study table = Length * Breadth

Area of the study table = 2m * 1.25m

Area of the study table = 200cm * 125cm (since 100cm = 1m)

Area of the study table = 25000cm²

If the study table is decorated with square design of size 10cm x 10cm, the area of one square design is 100 cm².

The number of such square designs = Area of the study table/area of one square design

The number of such square designs = 25000cm²/100cm²

The number of such square designs = 250

Hence the number of such design is 250

Shea made 11 of her first 17 free-throw attempts. What is the minimum number of her next 20 free-throw attempts that she must make for her overall success rate to be at least $80\%$? Express your answer to the nearest whole number.

Answers

Answer:

19 throws.

Step-by-step explanation:

For her success rate to be 80% in 37 throws she must make  0.8 * 37

= 29.6 throw - that is 30 to nearest throw.

So for the next 20 throws she must make  30 - 11 = 19 throws.

Kyle rides his bicycle 15 mph for 2 hours how far does he travel

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

30 miles

▹ Step-by-Step Explanation

Multiply mph by hours:

15 mph * 2 hrs = 30 miles

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

What is a discrete probability​ distribution? What are the two conditions that determine a probability​ distribution? What is a discrete probability​ distribution? Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can​ assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above

Answers

Answer:

The answers to the question above are given below:

Step-by-step explanation:

Question: What is a discrete probability​ distribution?

Answer

A discrete distribution is very important in data research as it shows in tabular form the probabilities that can be found in a list of distribution values and their individual probabilities in counted data. Usually, from the pool of distribution of numbers, the discrete distribution shows the probability of having countable numbers out of the pool.

Question: Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can​ assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above

The correct answer is: option B "discrete probability distribution lists each possible value a random variable can​ assume, together with its probability."

Question: What are the two conditions that determine a probability​ distribution?

The correct answer is:

1. Since each value may not be zero, each probability must include between 0 and 1.

2. When probabilities are totaled, it must give 1.

Help? It hard I try my best on a Separate picese

Answers

Answer: 508.81

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

Work Shown:

3 & 1/2 = 3 + 1/2 = 3 + 0.5 = 3.5

3.5% = 3.5/100 = 0.035

r = 0.035 is the decimal form of [tex]3\frac{1}{2}\%[/tex] which is used along with

P = 500 (principal deposit)n = 12 (compounding 12 times a year)t = 0.5 (6 months is half a year)

to get the following

A = P*(1+r/n)^(nt)

A = 500*(1+0.035/12)^(12*0.5)

A = 508.81405074594

A = 508.81

Extra info: Gabe earned A-P = 508.81 - 500 = 8.81 dollars in interest.

I need help and fast!!!!

Answers

Answer:

H. b/a

Step-by-step explanation:

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

Step 1: Label our variables

y₂ = 2b

y₁ = b

x₂ = 2a

x₁ = a

Step 2: Plug into formula

m = (2b - b)/(2a - a)

Step 3: Evaluate

m = b/a

Answer:

b/a

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 2b - b)/ ( 2a -a)

   = b/a

the cube root of 2 to the seventh power

Answers

Answer:

4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal

Step-by-step explanation:

Simplify the following:

(2^(1/3))^7

Hint: | For all a>=0, (a^(1/3))^m = a^(m/3). Apply this to (2^(1/3))^7.

Multiply exponents. (2^(1/3))^7 = 2^(7/3):

2^(7/3)

Hint: | Separate the exponent of 2^(7/3) into integer and fractional parts.

2^(7/3) = 2^(6/3 + 1/3) = 2^(6/3)×2^(1/3):

2^(6/3) 2^(1/3)

Hint: | Divide 6 by 3.

6/3 = (3×2)/3 = 2:

2^2 2^(1/3)

Hint: | Evaluate 2^2.

2^2 = 4:

Answer:  4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal

The speed of a car going 50 miles per hour is equivalent to a speed of 80 kilometers per hour. At this rate, what is the speed, in kilometers per hour, of a car that is going 30 miles per hour?

Answers

Answer:

48 km/h

Step-by-step explanation:

80/50*30=48 km/h

Which one of these relations are functions ?


Please helpppp fast

Answers

Answer:

the 4th and 6th one

Step-by-step explanation:

A function is when there are x- and y-values but each x value has only 1      y-value

Simple: If the x-value is repeated its not a function

Answer:

Step-by-step explanation:

1,2,3

Find the distance between points K(−1, −3) and L(0, 0). Round to the nearest tenth.

Answers

Answer:

d = √10

Step-by-step explanation:

[tex]K(-1, -3) , L(0, 0).\\\\d=\sqrt{((x_2-x_1)^2+ (y_2-y_1)^2) } \\\\x_1 =-1\\\\y_1 =-3\\\\x_2 =0\\\\y_2 =0 \\\\d = \sqrt{(0-(-1))^2+(0-(-3))^2}\\\\ d = \sqrt{(0+1)^2+(0+3)^2}\\\\ d = \sqrt{(1)^2 + (3)^2}\\\\ d = \sqrt{1 + 9}\\\\ d = \sqrt{10} \\[/tex]

Answer:

[tex]\huge\boxed{|KL|=\sqrt{10}\approx3.2}[/tex]

Step-by-step explanation:

METHOD 1:

The formula of a distance between two points (x₁; y₁) and (x₂; y₂):

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

We have K(-1; -3) and L(0; 0). Substitute:

[tex]|KL|=\sqrt{(0-(-3))^2+(0-(-1))^2}=\sqrt{3^2+1^2}=\sqrt{9+1}=\sqrt{10}}[/tex]

METHOD 2:

Look at the picture.

We have the right triangle with the legs 3 and 1.

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

substitute:

[tex]3^2+1^2=|KL|^2\\\\|KL|^2=9+1\\\\|KL|^2=10\to|KL|=\sqrt{10}[/tex]

hello :) why is the first one wrong?

Answers

Answer:

The cube only belongs to the x and not 2x.

The statement will only be true if there is a bracket around the 2x.

log₃(2x)³= 3log₃2x

logarithm power rule:

logₐ(x)^y = y ∙ logₐ(x)

Answer:

see explanation

Step-by-step explanation:

Given

[tex]log_{5}[/tex] 2x³

= [tex]log_{5}[/tex] 2 + [tex]log_{5}[/tex] x³

= [tex]log_{5}[/tex] 2 + 3[tex]log_{5}[/tex] x

If 4th term of an AP is 0. Prove that 25th term is triple the 11th term

Answers

Answer:

The 4th term = a+3d = 0,

or a = -3d.

The 25th term = a+24d = -3d+24d = 21d. ...

the 25th term is 3 times the 11th term. Proved.

Answer:

a^25 = 3 x a^11 .

Step-by-step explanation:

Given a^4 = 0

That is (a + 3d) = 0

⇒ a = - 3d ........... (1)

nth term of AP is given by an = a + (n – 1)d

a^11 = a + 10d = – 3d + 10d = 7d  [From (1)]

a^25 = a+ 24d = – 3d + 24d = 21d  [From (1)]

Hence

The answer is a^25=3 x a^11

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