What is the solution to the system of equations?

What Is The Solution To The System Of Equations?

Answers

Answer 1

Answer:

(-2, 5/3)

Step-by-step explanation:

Substitute x with -2 and solve

y = 2/3(-2) + 3

Multiply 2/3 and -2

y = -4/3 + 3

Add

-4/3 + 3 = 5/3

y = 5/3

Final answer:

(-2, 5/3)


Related Questions

1. x^2 + 6x + 8 = 0

2. x^2 + 10x + 21 + 0

3. X^2 + 9x + 18 = 0

Answers

Answer:

545256

Step-by-step explanation:

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise

7-3x=2x-8, How do you solved for x?

Answers

Answer:

x = 3

Step-by-step explanation:

7- 3x = 2x - 8

7 = 5x - 8                   Add 3x on both sides

15 = 5x                       Add 8 on both sides

3 = x                            Divide both sides by 5

Visualise the representation of 5.37(Bar over 7).
Using number line.​

Answers

[tex] \: \: \: [/tex]

[tex] \pink{ 5.37}[/tex]

To visualize 5.37 more accurately, divide line segment between 5.37 and 5.38 in ten equal parts. 5.37 lies between 5.377 and 5.378.

Again use divide above portion between 5.377 and 5.378 into 10 equal parts, which shows 5.37 is located closer to 5.3778 than to 5.3777 so we can get the answer

hope it helps

A print shop at a community college in Cupertino, California, employs two different contractors to maintain its copying machines. The print shop needs to have 12 IBM, 18 Xerox, and 20 Canon copying machines serviced. Contractor A can repair 2 IBM, 1 Xerox, and 2 Canon machines at a cost of $800 per month, while Contractor B can repair 1 IBM, 3 Xerox, and 2 Canon machines at a cost of $1000 per month. What is the minimum cost to employ the contractors? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.

Answers

The cost to employ the contractors is $11250

The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.

Moreover, to determine the cost to employ the contractors, we need to determine their total wage:

Contractor A:  $800 (Includes the repairment of 2 IBM, 1 Xerox, and 2 Canon machines).Contractor B: $1000 (Includes the repairment of 1 IBM,  3 Xerox, and 2 Canon machines.

Total: $1800 to repair 3 IBM, 4 Xerox, and 4 Canon machinesTotal machines to be repaired: 12 IBM, 18 Xerox, 20 Canon machines.

Now, for all the machines to be repaired you will need to pay a total of $9000

$1800 x 5 = $ 9000 (Includes the repairment of 15 IBM, 20 Xerox, and 20 Canon machines, which will cover all the machines you need).

Finally, let's find out the cost using the minimum rate.

$9000 x 1.25 = $11,250

Learn more about general cost in: https://brainly.com/question/3902215

Answer:

$8800

Step-by-step explanation:

Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by

C(x,y)=800x+1000y

The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.

2x+y≥12

The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.

x+3y≥18

The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.

2x+2y≥20

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=800x+1000y

Subject to: 2x+y≥12

x+3y≥18

2x+2y≥20

x≥0

y≥0

The corner points are:

(0,12),(18,0),(2,8),(6,4)

The point (6,4) gives lowest cost: $8800

Which congruence criteria is met in the following scenario
HL
AAS
SAS
ASA
SSS

Answers

Answer: SAS

Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)

What is 87 x (495 - 475) + 1084 - 864

Answers

Answer:

1960

Step-by-step explanation:

First, carry out the operation inside the parentheses: 495-475= 20. Next, follow the order of operations and do 87*20= 1740. Then, go from left to right, adding 1740 + 1084= 2824. Now, subtract all of that by 864. 2824-864= 1960.

Complete the proof(using sas congruence)! Use to sas congruence to prove that two angles are congruent

Answers

Here are all of the blanks filled in:

1. (Statement) AC is the perpendicular bisector of BD.

3. (Statement) BC is congruent to DC. (Reason) Definition of Congruence.

4. (Reason) Definition of a perpendicular bisector.

5. (Reason) Right Angles are Congruent.

6. (Statement) AC is congruent to AC.

7. (Statement) Triangle ABC is congruent to Triangle ADC. (Reason) SAS Congruence Theorem

Hope this helps!

HELP! Rechal can play 8 instruments and Sarina can play 1/4 LESS than that. How many instruments can Sarina play?

Answers

8*1/4=2

sarina can play 2 instruments

Answer:

2

Step-by-step explanation:

8 divided by 4 is 2

1/4 of 8 is 2

The cost of 2.25
pounds of grapes is
$6.75. The cost of 5
pounds of grapes is
$15. Find the slope in
dollars per pound.

Answers

Answer:

Hope this helps! <3

Step-by-step explanation:

The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)

Identify the horizontal asymptote of f(x) = 4 x over 7. Y = 0 y = 4 over 7 y = 7 over 4 No horizontal asymptote.

Answers

The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4

Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.

From the given function, the expression at the numerator is 4x.

h(x) = 4x

For instance, if we have a function y = ax, the variables of the function are x and y and the coefficient is "a"

Similarly for the expression h(x) = 4x, the coefficient of the expression is 4

Learn more on horizontal asymptote here: https://brainly.com/question/21678319

Answer: C

Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation

A swim team with 41 members decided to buy T-shirts that cost $15.75 each. 3. ___
What was the cost of the 41 T-shirts?

Answers

Answer:

The total cost would be $645.75

Explanation:

Multiply $15.75 by 3
41

Write the equation 5x + 2y = -6 in general form.

Answers

Answer:

[tex]5x+2y+6=0[/tex]

Step-by-step explanation:

General equations are in the form [tex]Ax + By + C = 0[/tex]

So you can add 6 to both sides to make:

[tex]5x+2y+6=0[/tex]

Can you please factorise 7-x²

Answers

Answer:

Can't factorize with rational numbers

Step-by-step explanation:

The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.

Answer:

Step-by-step explanation:

7-x²

If we treat this as the difference of 2 squares we get

(√7 - x)(√7 + x)

X=-2y,x-y=6 solve by substitution show all work

Answers

Answer:

y=-3

x=3

Step-by-step explanation:

x=-2y

x-y=9

substitute -2y for x in the second equation

you get:

-2y-y=9

combine like terms

-3y=9

divide by -3 on both sides

y=-3

P = x y . Find P when: x = 8 and y = − 11

Answers

Answer:

P= -88

Step-by-step explanation:

Since P=xy (Or x times y)

We can solve it since we know that x and y is: 8 and -11

So 8 times -11

Which is -88

Thus P= -88

Hope this helps!

P= -8 which is the correct answer

Three cubes each of side 3 cm each are joined end to end. Find the surface area of the resultant solid. ​

Answers

Answer:

  126 cm^2

Step-by-step explanation:

The surface area of one cube face is (3 cm)^2 = 9 cm^2.

Each cube has 6 faces, but joining them together hides 4 of the faces. The surface area of the resultant solid is ...

  (6·3 -4)·(9 cm^2) = 126 cm^2

Question
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by

910+(−710)+810+(−610)+⋯+310+(−110)+210.

How much water is in the tank after 15 days? Write your answer as a decimal.

Answers

Answer:

ililil

Step-by-step explanation:

HELP!! Scaler multiplication of vectors in component form

Answers

Answers:

<-6,8> <-3,3> <12,12> <21,4> <18,22> <17,30> <-36,-38> <16,20>

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

Work Shown:

Problem 1

u = <-3,4>

2u = 2*<-3,4>

2u = <2(-3), 2(4)>

2u = <-6,8>

Effectively, we multiplied each coordinate by 2.

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

Problem 2

g = <-1,1>

3g = 3*<-1,1>

3g = <3(-1),3(1)>

3g = <-3,3>

Same idea as problem 1, but we tripled each coordinate.

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

Problem 3

z = <-3,-3>

-4z = -4*<-3,-3>

-4z = <-4(-3),-4(-3)>

-4z = <12,12>

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

Problem 4

v = <6,8>

2v = <12,16> .... double both coordinates

u = <-3,4>

3u = <-9,12> .... triple both coordinates

2v-3u = <12,16>-<-9,12>

2v-3u = <12-(-9),16-12>

2v-3u = <12+9,16-12>

2v-3u = <21,4>

I subtracted the corresponding coordinates.

The general rule is <a,b>-<c,d> = <a-c,b-d>

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

Problem 5

y = <1,1>

6y = <6,6> .... multiply each coordinate by 6

v = <6,8>

2v = <12,16>

6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>

This time we add the corresponding coordinates after scaling up the given vectors.

The general rule is <a,b>+<c,d> = <a+c,b+d>

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

Problem 6

u = <-3,4>

v = <6,8>

3v = <18,24>

y = <1,1>

2y = <2,2>

u+3v+2y = <-3,4>+<18,24>+<2,2>

u+3v+2y = <-3+18+2,4+24+2>

u+3v+2y = <17,30>

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

Problem 7

g = <-1,1>

4g = <-4,4>

y = <1,1>

A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>

z = <-3,-3>

v = <6,8>

5v = <30,40>

B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>

A+B = <-3,5>+<-33,-43> = <-36,-38>

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

Problem 8

u = <-3,4>

v = <6,8>

2v = <12,16>

A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>

w = <8,-1>

g = <-1,1>

B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>

A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>

How i can answer this question

Answers

60m

How?

5m × 3m × 4m

5m × 3m = 15m

15m × 4m = 60m

Therefore

the answer is 60

James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have? ​

Answers

26 quarters, 22 nickels

Adelle solved the equation, 4x/7 - 6 = -20 , as shown.
Fill in the following blanks with the correct justification for each step.

Answers

Answer:

Step 1: Given

Step 2: Add 6 on both sides

Step 3: Multiply 7 on both sides

Step 4: Divide by 4 on both sides

The value of x for the given linear equation is -24.5.

What is linear equation in one variable?

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

We have, a linear equation in one variable

[tex]\frac{4x}{7} -6=-20[/tex]

We solve the above equation in following steps

Step I : Adding 6 both the sides

[tex]\frac{4x}{7} = -20 + 6[/tex]  

⇒[tex]\frac{4x}{7} = -14[/tex]

Step II:  Multiply 7 both the sides

⇒ [tex]4x = -14[/tex] ×[tex]7[/tex]

⇒ [tex]4x = -98[/tex]

Step III: Dividing both the sides by 4

⇒ [tex]\frac{4x}{4} = -\frac{98}{4}[/tex]

⇒ [tex]x = -24.5[/tex]

Therefore, the value of x for the given linear equation is -24.5

 

Learn more about the linear equation in one variable here:

https://brainly.com/question/17139602

#SPJ2

It took Mr. Jefferson 20 minutes to ride the 5-mile path along the lake at a constant speed on his bike. Which equation below could be used to determine the number of miles, x, Mr. Jefferson could ride in 12 minutes at that same constant speed?

Answers

Answer:

Part A. 4x

Part B. Mr. Jefferson could ride 3 miles in 12 minutes

Step-by-step explanation:

Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.

Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.

__________________________________________________________

Hope this helps!!!

If I am incorrect, please tell me; I enjoy learning form my mistakes:)

Change one digit from the number 238882 so that it is divisible by 3 not not divisible by 2

Answers

Answer:

238882 -> 238881

Step-by-step explanation:

To make it not divisable by 2, you have to change the rightmost digit.

Simply divide the number by 3, round it, then multiply it by 3 again.

Solve for r.

√2/3r + 1 = 23

Answers

Answer:

2nd option

Step-by-step explanation:

[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )

[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )

[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )

r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )

r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]

Answer:

B) r=33*sqrt(2)

Step-by-step explanation:

sqrt(2)/3r+1=23

sqrt(2)/3r=23-1

sqrt(2)/3r=22

sqrt(2)r=22*3

sqrt(2)r=66

r=66/sqrt(2)

r=66*sqrt(2)/(sqrt(2)*sqrt(2))

r=(66*sqrt(2)/2

r=33*sqrt(2)

The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $180.How much does it cost for one person to rent a locker

Answers

Answer: 1040

Step-by-step explanation: 180+28=208

208 times 5 = 1040

Please answer fast this is due soon

Answers

Step-by-step explanation:

multiply the first equation by 1, the second by -1 and add.

x + 2y = -16

-x - 6y = 28

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

0 - 4y = 12

-4y = 12

y = -3

x + 2×-3 = -16

x - 6 = -16

x = -10

7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.

Answers

Answer: 49/55

7/11 x 7/15 x 3

49/165 * 3

147/165

49/55

The answer is 49/55!

A man left 1⁄2 of his property to his wife 1/3 of the remainder to his eldest
son and the rest to be divided equally among his five younger children,
each of whom got p60,000. How much did his wife get?

Answers

Answer: p800,000

Step-by-step explanation:

1/2         to wife

1/3         to eldest son, and

Rest(x)   to 5 youngest children

(1/2) + (1/3) + x = 1  [The sum of the shares will equal 1 estate]

(3/6) + (2/6) + x = 1

(5/6) + x = 1

x = (1/6); to be divided among the 5 youngest children

We find that each young child receives p60,000.  That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).

We can write:    (1/6)*(Estate) = p300,000

Estate = p1,800,000

The wife hauled in 1/2 of this, so she received p800,000.

Don’t answer just for points please !! I really need help~

Answers

This is going to take a while: get ready...

I like two-columns, so...

Statements_______________|_____Reasons___

l||m                                                        Given

angle 1 congruent angle 7                   Given

angle 3 congruent angle 5                 corresponding                                                                            alternate angles

a||b                                                       CPCTC

I usually do proofs for triangles, not parallel lines, but I hope this helped!

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