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graph y= -4/3 x+2 using the slope and y-intercept

Answer:

  (x, y) = (6, 8) using linear combination

Step-by-step explanation:

The coefficients of the x-terms are opposites of each other (2 and -2), so the x-terms can be eliminated using a linear combination of the equations.

Adding the two equations together gives ...

  (2x -y) +(-2x +3y) = (4) +(12)

  2y = 16 . . . . . . . . simplify

  y = 8 . . . . . . . divide by 2

Substituting for y in the first equation gives ...

  2x -8 = 4

  x -4 = 2 . . . . . divide by 2

  x = 6 . . . . . . . add  4

The solution is (x, y) = (6, 8).

Of 103 people that are considered to use two facilities, only 14 use all three. In this case, we must make a percentage of this information.

This is roughly 14.5%, meaning there is only a 14.5% chance someone will use all three facilities if they are known to use two.

The probability that a randomly selected person uses at least two facilities is 103/135 and the probability that the selected people uses all the three facilities is 14/103.

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of people using the facilities are

73 people use the gym.

73 people use the swimming pool.

67 people use the track.

36 people use the gym and the pool.

35 people use the pool and the track.

32 people use the gym and the track.

14 people use all three facilities.

The total people using two facilities is = (36+32+35 ) = 103

Total number of people is 135

The probability that a randomly selected person uses at least two facilities is 103/135.

The probability that the selected people uses all the three facilities is 14/103.

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Answer:

A. Quadratic, degree 2

Step-by-step explanation:

The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.

Answer:

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable  y  

  [2]    y = x - 2

// Plug this in for variable  y  in equation [1]

[1]    (x -2) + x = 4

  [1]    2x = 6

// Solve equation [1] for the variable  x  

[1]    2x = 6  

[1]    x = 3  

// By now we know this much :

y = x-2

x = 3

// Use the  x  value to solve for  y  

 y = (3)-2 = 1

[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]

Answer:

[tex] {4x}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]y + 3 = 8y + 3[/tex]

Subtract both sides 3

[tex]y + 3 - 3 = 8y + 3 - 3[/tex]

[tex]y + 0= 8y + 0[/tex]

[tex]y = 8y[/tex]

Subtract both sides y

[tex]y - y = 8y - y[/tex]

[tex]0 = 7y[/tex]

Divide both sides by 7

[tex] \frac{0}{7} = \frac{7y}{7} \\ [/tex]

[tex]y = 0[/tex]

There you go....

Ah

Have a great day ♡

Answer:

Step-by-step explanation:

6xy^3

Answer:

the second bottle

Step-by-step explanation:

To get the amount it costs per ounce, divide the amount of money by the number of ounces.

A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.

therefore, the 16 ounce bottle is cheaper per ounce

Answer:

Take Action: Take Time to Plan. ...

Take a Break: Get Out of the Office. ...

Take Action: Talk it Out with a Colleague. ...

Take a Break: Get a Full Night's Sleep. ...

Take Action: Work on the Weekends.

Answer:

If your due dates are at least by the end of the week, I recommend doing straight work for 30 minutes, then rewarding yourself. Repeat this for as long as you want but don't do so much that you weren't able to do anything socially for the whole day. If your due dates are already passed or if they are coming up really soon, I recommend putting on whatever music you like to listen to, but nothing to upbeat. Put on some calm music with a rain sound effects video in the background, and just keep working until you kind of dose off from reality and just get in the zone. A long answer, but it really helps.

Forgot to mention; if you ever get stressed out, either do something else to calm down, or use that stress to your advantage and do a ton of work because of it.

Answer:

(1.25c) + (1p) ≥ 25

c is the amount of chocolate chip cookies

p is the amount of peanut butter cookies

Step-by-step explanation:

Answer:

a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1

Step-by-step explanation:

perpendicular slopes multiplied by each other would be -1

-1/3 * 3 for a and both other lines is -1

that means a is perpendicular to both b and c

Answer:

Step-by-step explanation:

Conclusion:

Therefore:

Hoped this helped.

[tex]GeniusUser[/tex]

The simplified form of the given expression is 7x+y.

The given expression is 3x+5y+2x-4y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Group the like terms and simplify, we get

(3x+2x)+(5y-4y)

= 7x+y

Therefore, the simplified form of the given expression is 7x+y.

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x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

Answer:

7x + 2y = -6

Step-by-step explanation:

Multiply the equation with 2

2 ( y = -7x/2 - 3 )

2y = -7x - 6

7x + 2y = -6

Answer: The answer is 27.04 square inches.

Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.

Answer:

27.04 in^2

Step-by-step explanation:

hope this helps! :)

Answer:

yes, because they're varying in a constante rate

y = -1/2x +3.5

The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.

The percentage of employee benefits to total gross pay for each worker has to be determined.

Percentage = (total job benefits / gross pay) x 100

Emily: (33,600 / 32,600) x 100 = 103.07%

Jack: (34,700 / 33,700) x 100 = 102.97%

Judy: (33,900 / 33,400) x 100 = 101.5%

Marcel: (34,000 / 32,900) x 100 = 103.43%

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Please find attached a complete question

Answer:

It has to be 4 parts because it will to uneven if you cut diagonally.

Answer:

the answer is c.036

Step-by-step explanation:

it can't be a, b or d because count is being increased by 3 and not 1. And it can't be e because the loop is <= and not < so when the count is 6 it is still in the loop. So it will show the 6 as well

Answer:

9. the first one ( 12 + 4 = 4 + 12 )

Step-by-step explanation:

the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.

The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The four options

Now,

The commutative property of addition states that changing the order of the addends does not change the sum.

This is the only option that shows the same sum with different orders of addends.

Therefore, by algebra the answer will be 12 + 4 = 4 + 12.

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Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B

The ratio of the number 520 in 6: 7 will be 240: 280.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the number 520 is divided into the ratio 6: 7.

The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.

6x + 7x = 540

13x = 540

x = 540 / 13

x = 40

6x = 40 x 6 = 240

7x = 7 x 40 = 280

Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.

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Answer:

Step-by-step explanation:

See attachment

12.  -23C

13.  28.9% Loss

14.  Diagram in the attachment.  The sides can be calculated with the Pythagorean Theorem.  Side = 3.61 cm

15.  Use trig relationships.  x = 5, y = 8.66

Answer:

p plus 6

Step-by-step explanation:

[tex]8 = \dfrac{3+2x}{4+x}\\\\\implies 8(4+x) = \dfrac{3+2x}{4+x} \cdot (4+x)\\\\\implies 8\cdot (4+x) = 3+2x\\\\\text{Hence the answer is A.}[/tex]

Answer:

A

Step-by-step explanation:

8=3+2x/4+x

8/1= 3+2x/4+x then crisscross both sides without multiplying

8×(4+x)=3+2x

I hope it helped

Answer:

a

Step-by-step explanation:

Answer:

1=28 students 2=14students 3=40%

Step-by-step explanation:

1. 70 students = 100%

7 students = 10%

28 students = 40%

28 students are sixth graders!

2.70 students = 100%

7 students = 10%

14 students = 20%

14 students are seventh graders!

3.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%

40% are eighth graders!

Answer: The slope is -32

Explanation:

Start with the slope formula:

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

Substitute point values in the formula

m = (-25 - 7) / (85 - 84)

Simplify each side of the equation

m= (-25 - 7) / (85 - 84) = -32/1

Solve for slope (m)

m= -32