reflect across the y axis

Step-by-step explanation:

full work and answers for all 12 problems

Step-by-step explanation:

     graphing.

substitution method.

elimination method.

We will use as an example the following system of inequalities:

3x +2y ≥ 5x -4

y < (1/2)x +3

For each inequality, do the following:

1. If it is not this way already, arrange the inequality so that each variable appears on only one side of the inequality. Putting the inequality into any of the standard forms will do this. It will be helpful later if you arrange the inequality so that at least one variable has a positive coefficient. (You may have to multiply by -1 (and change the sense of the inequality) to do this.)

Our example inequalities are now ...

-2x +2y ≥ -4 . . . . . or divide by 2 to get . . . . -x +y ≥ -2

y < (1/2)x +3

2. Notice the inequality symbol, and whether it includes the "or equal to" case.

the first inequality is ≥, so includes "or equal to"

the second inequality is <, so does not include "or equal to"

3. Replace the inequality symbol with an equal sign and graph the resulting equation. If the "or equal to" case is included, the line is graphed as a solid line. If it is not, then the line is graphed as a dashed line.

the first equation (-x +y = -2) is graphed with a solid line

the second equation (y = (1/2)x +3) is graphed with a dashed line

4. It is not necessary, but is less confusing, to choose a variable in the inequality (after step 1) that has a positive coefficient. Notice whether this variable is "less than" or "greater than" the stuff on the other side of the inequality.

y ≥ . . . . for the first inequality

y < . . . or . . . x > . . . . for the second inequality

If it is less than, shade the portion of the graph below (for y <) or to the left (for x <) of the line you graphed in step 3.

the second inequality has y < , so the graph will be shaded below the dashed line. It also has x > , so will be shaded to the right of the dashed line. (These are the same shading.)

If it is greater than, shade the portion of the graph above (for y >) or to the right (for x >) of the line you graphed in step 3.

the first inequality has y ≥ , so the graph will be shaded above the solid line.

5. The solution set is where the shaded areas overlap. Any point on a dashed line is not in the solution set.

_____

The graph for the example inequalities is attached. The first one is graphed and shaded in red; the second one is graphed and shaded in blue.

A system has no solutions if the lines are parallel. When solving the system, if you get a false statement (a number equal to a different number) this means there are no solutions.

Three methods of solving inequalities are the graphing method, substitution method, and elimination method.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

We will use as an example the following system of inequalities:

3x +2y ≥ 5x -4

y < (1/2)x +3

For each inequality, do the following:

If it isn't already set up this way, organize the inequality so that each variable only appears on one side. This can be accomplished by putting inequality into any of the accepted formats. If you set up the inequality so that at least one variable has a positive coefficient, it will be useful later. To accomplish this, you might need to multiply by -1 (and alter the inequality's sense).

Our example inequalities are now ...

-2x +2y ≥ -4 . . . . . or divide by 2 to get . . . . -x +y ≥ -2

y < (1/2)x +3

Take note of the inequality sign and whether the "or equal to" instance is present.

The first inequality is, so "or equal to" is included. The second inequality is, so "or equal to" is not included.

Create a graph of the equation that results from replacing the inequality symbol with the equal sign. The line is graphed as a solid line if the "or equal to" scenario is present. If not, a dashed line is used to represent the line on the graph.

Graphing the first equation (-x + y = -2) using a solid line

Graphing the second equation (y = (1/2)x + 3) uses a dashed line.

Choosing a variable in the inequality that has a positive coefficient after step one is not required, but it is less ambiguous. If there is an inequality, pay attention to whether this variable is "less than" or "greater than" the items on the other side.

For the initial inequality, y

In the case of the second inequality, y or x >

Shade the area of the graph below (for y) or to the left (for x) of the line you graphed in step 3 if it is smaller than.

The graph will be darkened below the dashed line since the second inequality has the value y. It will be tinted to the right of the dashed line because it also has x >. The shading here is the same.

Shade the area of the graph above (for y >) or to the right (for x >) of the line you graphed in step 3 if it is bigger than.

The graph will be shaded above the solid line because the first inequality has y.

The overlap of the colored areas is the solution set. The solution set does not include any points on a dashed line.

When the lines are parallel, a system cannot have a solution. If you get a false statement after solving the system (a number that is equal to a different number), there are no solutions.

Learn more about inequalities here:

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Answer:

it is A

Step-by-step explanation:

you line up the numbers and the horizonal line first

Answer:

A. 45 + 42p

Step-by-step explanation:

Answer:

the answer is 3

Step-by-step explanation:

Answer:

your in highschool and you cant do that?

i worry for you 3

Step-by-step explanation:

Answer:

1/216

Step-by-step explanation:

Simplify the following:

6^(-3)

Hint: | In order to evaluate 6^3 express 6^3 as 6×6^2.

6^3 = 6×6^2:

1/(6×6^2)

Hint: | Evaluate 6^2.

6^2 = 36:

1/(6×36)

Hint: | Multiply 6 and 36 together.

6×36 = 216:

Answer: 1/216

Answer:

1/1296

Step-by-step explanation:

Answer:

p(4)=3

Step-by-step explanation:

p(4)=3(4)-9=12-9=3

Answer: u got a course hero account ?

Step-by-step explanation:

Answer:

Mary have £ 0.7

and Eleanor 1.05

because

Mary 10/ 10 +15 × 1.75= .7

Eleanor 15 /10+15× 1.75 =1.05

Answer:

Its not a function, D

Step-by-step explanation:

its not a function because the x value, 1, repeats. input is x and output is y, so the input of 1 has more than one output.

Answer:

I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol

Step-by-step explanation:

i hope it work

Answer:

It's C.

Step-by-step explanation:

log(a×b) = log(a) + log(b)

1/3 of 18 = 6

the song dropped $6 each day

Answer: -6

Step-by-step explanation:

The value of a stock dropped a total of $18 over a 3-day period meaning -6 dollars each day.

-18/3

Answer: B. D. E. F.

Step-by-step explanation:

Answer:

d. 250π/3

Step-by-step explanation:

A = πr²

A = 3.14(10)² = 314.159

A = 314.159*(5/6) = 261.799

A = 261.799 = 250π/3

Answer:

D

Step-by-step explanation:

You need to set up a ratio between the area of the sector & the area of the circle vs the angle of the sector & 360 degrees.

[tex]\frac{SectorAngle}{360} =\frac{SectorArea}{CircleArea}[/tex]

That above is your formula you need to remember for these equations.

Now let's solve. You've been given the sector angle, which is 300 degrees, and you've been given the radius of the circle, 10 feet.

The area of a circle is the formula: A = πr²

Given that formula and you know the radius. You plug in 10 feet for r and solve for the area.

[tex]A=\pi10^2\\A=314.159[/tex]

Now lets solve for the missing variable (Sector Area).

[tex]\frac{300}{360} = \frac{x}{100\pi }\\100\pi * \frac{300}{360} = \frac{x}{314.159}*100\pi\\100\pi* \frac{300}{360} = x\\\frac{250\pi }{3} = x[/tex]

I kind of messed up since I didn't realize the answer choices were simplified, make sure for the area you don't completely solve the area, keep the pi simple if the answer choices include pi.

Answer:

[tex]d = 10[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point T (-6, -3)

Point K (2, 3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

C. 1 × 10^4 times

Step-by-step explanation:

Australia=  8 × 10^6 km^2

New york= 8 × 10^2 km^2

easy

look at the exponents when you divide them they subtract

(8 × 10^6 km^2)/(8 × 10^2 km^2)

6-2=4

8/8=1

1*10^4

8000000

/800

10000

or

1*10^4

Answer:

D. 5x-15y+20

Step-by-step explanation:

If you distribute 5 to all the numbers in the parenthesis, you get 5x-15y+20. This is because 5 multiplied by x is 5x, 5 multiplied by 3y is 15y, and 5 multiplied by 4 is 20. I hope this helps!

Answer:

D

Step-by-step explanation:

you have to distribute the number 5 between all of the numbers. Is because

5 * x is 5x  3y is 15y, and 5 *4 is 20.

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

Answer:

4.5

Step-by-step explanation:

60/20=3

3*1.5=4.5

Answer:

10%

Step-by-step explanation:

The answer is 10% because when you multiply 20 by 10% you get 2 and if you multiply 2 by 10 you get 20.

Answer:

10%, remember to hit that thanks button

Step-by-step explanation:

Answer:

84 days are in 12 weeks

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

m = 4

Step-by-step explanation:

Slope = 4

Slope-intercept form =

y = mx + b

m = slope

b = y-intercept

y = 4x - 8

Therefore, the slope is 4 and y-intercept is -8.

Hope this helps!!

Answer:

Slope of line=A/B

=4/-1

=-4

Answer:

the first one

Step-by-step explanation:

in the first one it says there are no common numbers between x and y which is false.

in the second one its the union of x and y which means that you must list all numbers in x and y without repetition

the third one states that 15,33,1025 are the only numbers that are common between x and y.

so as a breif the first one is wrong

Answer:

first choice

Step-by-step explanation:

Answer:

[tex]2\sqrt{10}[/tex]

Step-by-step explanation:

To find the distance between points, we can use the following formula:

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

We have two coordinates; (1, 4) and (3, 7)

Let's plug these values into the equation

[tex]d = \sqrt{(3 - 1)^2 + (7 - 1)^2} = 2\sqrt{10}[/tex]

Good luck!

Answer:

n= -2

Step-by-step explanation:

5n=-4-6

5n=-10

n=-2

Answer:

20

Step-by-step explanation:

[tex]\frac{10^{2} }{5^{1}}[/tex]

[tex]\frac{100}{5}[/tex]

[tex]\frac{20}{1}[/tex]

[tex]20[/tex]