Solve the following system of equations.
y = 12 - 5x
2x + 3y = 11

Answers

Answer 1
Use substitution
2x + 3(12 - 5x) = 11
Distributive property
2x + 36 - 15x = 11
Combine like terms
-13x + 36 = 11
Subtract 36
-13x = -25
x = 25/13
y = 12 - 5(25/13)
y = 31/13
Solution: x = 25/13, y = 31/13

Related Questions

is x/3 a polynomial​

Answers

Answer:

Step-by-step explanation:

Poly means many.

This is only 1 term. It is a monomial.

1/3 x (21.69 – 24.99)

Answers

Answer:

I think it might be 0.30

Step-by-step explanation:

Write the relation as a set of ordered pairs.

a. ordered pairs: {-1, -2), (0, 1), (3, 2)}
b. ordered pairs: {-2, -1), (1, 0), (3, 2)}
c. ordered pairs: {(-2, -1), (0, 1), (2,3)}
d. ordered pairs: {(-1, -2), (1, 0), (2, 3)} ​

Answers

C. (-2,-1) (0,1) (2,3)

A right triangle has one angle that measures 24°. What is the measure of the other acute angle?

Answers

Answer:

66 degrees

Step-by-step explanation:

90+24=114

180-114=66

Answer:

66 degrees

Step-by-step explanation:

a right triangle must have a 90 degree angle and our other angle is 24. we also know that the sum of all the angles must be 180. 90+24=114

180-114 is 66

PLEASE HELP!

Find the real or imaginary solutions of the following equation by factoring.

y^3 + 27 = 0

Answers

Answer:

-31.5(1 + i√3)1.5(1 - i√3)

Step-by-step explanation:

y³ + 27 = 0(y + 3)(y² - 3y + 9) = 0

1. y + 3 = 0 ⇒

y = -3

2. y² - 3y + 9 = 0

y = (3 ±√(3² -4*9))/2y = (3 ± √-27)/2y = (3 ± i√27)/2y = 3/2(1 ± i√3)y = 1.5(1 ± i√3)

Answer:

Do u still need the answer?

Step-by-step explanation:

Garrett needs 3 gallons of fruit juice to make punch.

He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.

Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons.

Answers

Answer:

3 of each gallon

Step-by-step explanation:

It worked for me on ttm

Answer:

4 of 1/3 and 1 of 1/6

Step-by-step explanation:

5/6+2/3=9/6

9/6+4/3=17/6

17/6+1/6=18/6

18/6=3

32 jelly beans was share with 8 students how many each students get
please answer it i`ll give you brainiest

Answers

Answer:

4 students would get jellybeans because 32 divided by 4 would be 8 and 8 times 4 is 32.  hope this helps! :D

Step-by-step explanation:

brainliest plz?

If 32 jelly beans were shared with 8 students each will get 4 jelly beans.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, 32 jelly beans were shared with 8 students.

The no. of jelly beans each student will get can be obtained by dividing the total no. of jelly beans divided by the total no. of students which is,

= (32/8) jellybeans each.

= 4 jelly beans each.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

If Arron's boat travels 9 mph and the river runs 4 miles mph in still water.how long will it take to travel 18 miles upstream

Answers

Answer:  It will take Aaron's boat 3³/₅ hours to travel 18 miles upstream.

That is 3.6 hours or  3 hours and 36 minutes.

Step-by-step explanation:

Traveling upstream, the boat's speed will be reduced by the speed of the river current.  

9 - 4 = 5mph

18mi/5mph =  3.6 hours  0r  3³/₅ hours

Please help me with this OMGGGGGGGGGGGGGGGGGGGGGGGGGGGG

Answers

Answer:

[tex]The \: slope \: is \: \frac{7}{3} .[/tex]

Step-by-step explanation:

To find the slope, we have to turn the equation into the slope-intercept form which is:

[tex]y = mx + b[/tex]

The slope is the m in that form.

we will solve for y.

[tex]7x - 3y = 21 \\ \frac{- 7x \: \: \: \: \: \: = - 7x}{ - 3y = - 7x + 21} \\ \\ \frac{ - 3y}{ - 3} = \frac{ - 7x + 21}{ - 3} \\ y = \frac{7}{3} x - 7[/tex]

Answer:

Step-by-step explanation:

-3y = -7x + 21

3y = 7x - 21

y = 7/3x - 7

slope is 7/3

answer is C

Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeanette’s ticket was less than the original price by what percent?

Answers

it was 30% off because the site had a discount plus her coupon

Use the quadratic formula to solve the zero(s) of the quadratic equation 3x^2-4x-6=0. Round to the nearest 10th.

Answers

Answer:

so Is because you do 3x2=6 so is

Step-by-step explanation:

3x2=6

x=(o,-6) ok

is c or d

I will give barinest if solved

Answers

Answer:

[tex]x=19[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Line\ YZ\ ||\ ZW\\\angle XYM=90\\Hence,\\Line\ Segment\ XY\ being\ the\ transversal,\ cuts\ YZ\ and\ XW.\\Hence,\\We\ know\ that\\The\ set\ of\ co-interior\ angles [Interior\ angles\ on\ the\ same\ side\\ of the\ transversal]\ are\ supplementary.\\Hence,\\Here,\\The\ pair\ of\ co-interior\ angles\ formed\ are\ \angle XYZ\ and\ \angle YXW.\\Hence,\ they\ are\ supplementary\ too.\\Hence,\\\angle XYZ\ + \angle YXW= 180\\Hence, by\ substituting\ XYZ=90+2x,\angle YXW=3x-5[/tex][tex]90+2x+(3x-5)=180\\85+5x=180\\5x=180-85\\5x=95\\x=19[/tex]

-2(m+1) = 10, whats m?

Answers

-2(m+1) = 10

-2m+-2 = 10

-2m = 12

-m = 6

Answer: m = -6

Darnell has $1.20 in quarters and nickels. He has 8 coins altogether. How many coins of each kind does he have?

Answers

Answer:

4 quarters

4 nickels

Step-by-step explanation:

4 quarters 4 nickels

Solve for x:
8x – 3 = 5 (2x + 1)
A. x= -4
B. x= -2
C. x=1
D. = 9

Answers

Answer:

x=-4

Step-by-step explanation:

Answer: A

Step-by-step explanation: Simplify 5(2x+1) into 10x+5. bring it to the other side; -2x-8=0. -2x=8 divide 8 by -2 to get x alone. x=-4

how to change a vector direction by 90 degree​

Answers

Answer:

multiply the X part of the vector by -1, and then swap X and Y values

Step-by-step explanation:

What is this answer????

Answers

Answer:

im pretty sure its c

Step-by-step explanation:

Determine the range of the following relation.

Input output
-4 1
0 7
2 2
7 7


A
{2, 7}


B
{1, 2, 7}


C
{–4, 0, 2, 7}


D
{–4, 0, 1, 2, 7}

Answers

Answer:

The range of the relation is:

Range R = {1, 2, 7}

Therefore, option B is true.

Step-by-step explanation:

Given the relation

Input                  Output

-4                            1

0                             7

2                             2

7                             7

Determining the domain:

We know that the domain of relation consists of all the inputs or x-coordiantes of the ordered pairs.

Thus, the domain of the relation is:

Domain R = {-4, 0, 2, 7}

Determining the range:

We know that the range of relation consists of all the outputs or y-coordiantes of the ordered pairs.

Thus, the range of the relation is:

Range R = {1, 2, 7}

Please note that the duplicated elements in the domain or the range of the function are written only once.

Therefore, option B is true.

1.Which statement about two negative numbers is true? .

Answers

Answer:

To negative numbers makes a positive number.

(only in dividing and multiplying)

Step-by-step explanation:

Please mark me brainliest

Negative x negative is a positive

For a giveaway a local radio station is putting together goodie bags . The bags will include tickets and posters each bag will receive an equal share of 54 tickets and 36posters

Answers

Answer: There are 18 goodie bags, each with 3 tickets and 2 posters.

Step-by-step explanation:

PLEASE HELP ME ASAP!!!!!!!

Answers

Answer:

the answer is c

Step-by-step explanation:

dont mess with people who need help go earn your answers dont steal points

How do you show 72 × 139

(doing the work)

Answers

Answer:

10008

Step-by-step explanation:

Question 5 of 10
If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f+ g)(x).
O A. 3x2 + 6
B. 5x2 - 6
C. 3x2 - 4
D. 5x2 - 4

Answers

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) = (4x² + 1) + (x² - 5) = 5x² - 4. (D)

Answer:

D. 5x^2-4

Step-by-step explanation:

We are asked to find (f+g)(x), which is really just the sum of the two functions.

(f+g)(x)=f(x)+g(x)

We know the the functions are:

• f(x)= 4x^2+1

• g(x)=x^2-5

Substitute the functions in.

(f+g)(x)=(4x^2+1)+(x^2-5)

Add the functions by combining like terms. For this equation, the like terms are those with x^2 and the constants.

(f+g)(x)= (4x^2+x^2)+(1-5)

Add the terms with x^2

(f+g)(x)=(5x^2)+(1-5)

Add the constants or terms without variables.

(f+g)(x)=(5x^2)+(-4) = 5x^2-4

The sum of the functions is D. 5x^2-4

How can I find the systems of linear inequalities ​

Answers

By solving and then graphing

2 year loan at 6 percent interest rate and $264.00 paid wa

Answers

Answer:2,576

Step-by-step explanation:

What is the magnitude of the vector shown?
5
13
radical 5
radical 13

Answers

Answer:

D on edge

Step-by-step explanation:

radical 13

Jess saved $500 working during the summer. He plans to buy school clothes with his money. He found jea
exactly twice as many shirts as jeans, how many pairs of jeans can Jess buy without exceeding $500?

Answers

Answer:

167 pairs

Step-by-step explanation:

Represent jeans with J and shirts with S

[tex]S = 2J[/tex]

[tex]Amount = \$500[/tex] --- Maximum

Required

Determine the number of pair of jeans he can buy

To represent as an inequality, we have:

[tex]S + J \leq Amount[/tex]

[tex]S + J \leq 500[/tex]

Substitute 2J for S

[tex]2J + J \leq 500[/tex]

[tex]3J \leq 500[/tex]

Divide through by 3

[tex]J \leq 500/3[/tex]

[tex]J \leq 167[/tex]

Hence, without exceeding $500, Jess can buy 167 pairs of jeans

Answer:

7

Step-by-step explanation:

30( 7 ) + 14( 12 ) =448 [tex]\leq[/tex] 500

Match each function with the expression representing Its Inverse function.
1. g(x)= -0.5 x
2. h(x)= 4 x
3. y= x - 4
4. f(x)= x/2
5. k(x) = x
6. p(x) = x+4​

Answers

Answer:

Step-by-step explanation:

1). g(x) = -0.5x

   Equation form of the given function is,

   y = -0.5x

 Interchange x and y,

  x = -0.5y

  Solve for y,

  y = [tex]-\frac{x}{0.5}[/tex]

  y = -2x

  Inverse function will be,

  [tex]g^{-1}x=-2x[/tex]

2). h(x) = 4x

   Equation form of the function will be,

   y = 4x

   Interchange x and y,

   x = 4y

   Solve for y,

   y = [tex]\frac{x}{4}[/tex]

   Inverse function will be,

   [tex]h^{-1}(x)=0.25x[/tex]

3). y = x - 4

    Interchange x and y,

    x = y - 4

    Solve for y,

    y = x + 4

    Therefore, inverse of the linear equation is,

    y = x + 4

4). f(x) = [tex]\frac{x}{2}[/tex]

    Equation form of the function will be,

    y = [tex]\frac{x}{2}[/tex]= x

     Interchange x and y,  

     x = [tex]\frac{y}{2}[/tex]

    Solve for y,

     y = 2x

     Therefore, inverse function will be,

     [tex]f^{-1}(x)=2x[/tex]

5). k(x) = x

     Equation form of the function will be,

     y = x

     Interchange x and y,

     x = y

     Solve for y,

     y = x

     Inverse of the function 'f' will be,

     [tex]k^{-1}(x) =x[/tex]

6). p(x) = x + 4

     Equation form of the function will be,

     y = x + 4

     Interchange x and y,

     x = y + 4

     Solve for y,

     y = x - 4

     Inverse of the function 'p' will be,

     [tex]p^{-1}(x)=x - 4[/tex]

Solve the system.
x + 2y – 4z = 4
2x – y + 2z = 3
3x – 8z = -2

Enter answer as ordered triple.

Answers

X+2y - 4z =4

2x-y +2z =3

3x-8z=-2

9z / 14y/7x

Answer:

(2,3,1)

Step-by-step explanation:

i just did the problem

hope this helps :))

Which of the following coordinates is located in Quadrant IV?
(4, –2)
(–2, –4)
(4, 2)
(–2, 4)

Answers

(4,-2) is located in Quadrant IV
Answer: (4, -2) or A

Step by Step Explanation:
The photo on this message are the quadrants, to be in quadrant IV or 4; x needs to be positive and y needs to be negative, so (4,-2) will be in Quadrant IV
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