y + 4 ≤ |x-2|

please explain how to solve and graph it. Also please show a graph.
| = an absolute value bar, it kinda looks like 1

Answers

Answer 1

Answer:

y ≤ |x - 2| + 4

Step-by-step explanation:

step (1)

move the 4 to the other side, so it would look like:

y≤ |x-2| + 4

step (2)

now we can start graphing it, you would first start on the x axis moving it to the right. so your point on the graph should be (2,0) {don't graph a point there though}

the reason we do this is because the absolute value means the opposite so everytime there is a number in the absolute value being added or subtracted by just x then we move it the opposite side.

then from that (2,0) we go up four which would now make it (2,4). that is our first point and vertex so graph that.

now in y≤ |x-2| +4 you have to note that if there is nothing next to the equality and the absolute value, then it will become a 1. so our equation will now look like y ≤ 1 |x-2| + 4. so with that from our (2,4) point, we go up one and to the right one and to the left one. So there should be two more points at (3, 5) and (1, 5).

we then keep following the pattern of going up one and the right one and to the left one. the graph line should be in a V shape.

step (3)

now there is one last thing you need to do which is shading. what you're going to do first is check the inequality sign. if the inequality sign has a line under it (meaning equal to) then the line will be a solid line. if it doesn't then there should be a dashed line. our inequality sign has a line under it so it is a solid line.

then we need to figure out where to shade, above or below. if the y is greater than the rest of the equation then that means you need to shade above the V shape. however, if it were to be less than the rest of the equation you would shade below the V shape.

in this problem since the y is less than the rest of the equation, shade downwards.

i hope this answered your question and sorry if my explanation was hard to understand, its a pretty lengthy and confusing but it was the only way i knew of how to explain :))


Related Questions

Write the equation of the line with the given slope, m, and y-intercept, m= 7/4 b = -3

Answers

Answer:

y = 7/4x - 3

Step-by-step explanation:

y = mx + b

y = 7/4x - 3

Water freezes at 0◦ Celsius and 32◦ Fahrenheit and it boils at 100◦C and 212◦F.

Answers

Answer:

Step-by-step explanation:

This is very true because everybody knows when water freezes at 0º and it will boil at a high temperature too so you're right

:)

11. Liza earned some money delivering newspaper .She bought a
battery for $1.95, and gave her mother $30. She bought a ring
for $7.20, and then spent half of the remaining money on a radio.
If Liza has $38.50 left, how much money did she earn delivering
newspapers?
anonh the solution set.

Answers

Answer: $116.15

Step-by-step explanation:

We first would start with the last  thing, the $38.50 Lisa has left! From reading the word problem, we can tell that she had another $38.50 she spent on a radio.She spends $7.20 (ring) + $1.95 (battery) before this and gives her mom $30.

All of these are subtractions from the initial amount:

x - 1.95 - 30.00 - 7.20 - 38.50 = 38.50

x - 77.65 = 38.50

x = $116.15

Please give brainliest! It would really help!

click on file! please help, thank you!! <3​

Answers

15+3x-4+6x= 9x+11 add 6+3 then subtract 15-4

3y-4x+8x-y= 4x+2y add -4+8 then subtract 3-1

5x+8x+10x-3x= 20x Add 10+5+8 to get 23 then subtract 3

If m∠10 = 70, then find the m∠14 and state the angle relationship.

Answers

The measure of m∠14 is 110 degrees and the angle relationship is a supplementary angles

Let us assume that angle m∠10 and m∠14 are supplementary, this means that the sum of both angles will be 180 degrees.

Since the angles are supplementary, hence the required expression will be:

m∠10 + m∠14 = 180

Given that m∠10 = 70 degrees

70 + m∠14 = 180

m∠14 = 180 - 70

m∠14 = 110 degrees

Hence the measure of m∠14 is 110 degrees and the angle relationship is a supplementary angle.

Learn more here:https://brainly.com/question/22309882

PLEASE HELP WITH PART B!!

can you also explain y and x, I dont understand part B >

Answers

A. I would suggest including all units in your answer. Both answers are correct but the unit is also important.

average rate of change:

($750 - $350) / (2014 - 2010) = $400 / (4 years) = $100 per year

initial value:

$350

B. Take 2010 to be year 0. Then for year x = 0, the fee is y = $350.

If the fee increases at a rate of $100 per year, this means that when x = 1, y = $350 + $100 = $450. So the graph of the function that models the dog-walking fee is a line that passes through the points (0, 350) and (1, 450), adn the slope of this line is

(450 - 350) / (1 - 0) = 100/1 = 100

which is the same as the average rate of change.

Using the point-slope formula for a line, the equation you want is then

y - 350 = 100 (x - 0)

y - 350 = 100x

y = 100x + 350

True or False: A biconditional statement is a statement in which a conclusion is true if the conditions of a particular hypothesis are true.

Answers

Answer:

thats false

Step-by-step explanation:

Instructions-Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.
-
f(x) = 5x + 25 - 1
8(x) - - 2x-3

Answers

Answer:

f(x)=5x+25-1

8(x)- -2x-3

=30-1

=8x+6x

=29+14x

43x

The point of intersection of the two functions is (3, 27).

The system of equations is:

f(x) = 5x + 25 - 1 = 5x + 24

g(x) = 2x - 3

To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.

f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21

Solving for x, we get:

x = 21/7 = 3

Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).

f(x) = 5x + 24

f(3) = 5(3) + 24 = 27

Therefore, the point of intersection of the two functions is (3, 27).

To the nearest tenth, the point of intersection is (3.0, 27.0).

The point of intersection of the two functions is (3, 27).

The system of equations is:

f(x) = 5x + 25 - 1 = 5x + 24

g(x) = 2x - 3

To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.

f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21

Solving for x, we get:

x = 21/7 = 3

Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).

f(x) = 5x + 24

f(3) = 5(3) + 24 = 27

Therefore, the point of intersection of the two functions is (3, 27).

To the nearest tenth, the point of intersection is (3.0, 27.0)

To learn more about functions here:

https://brainly.com/question/31062578

#SPJ2

What is the slope of the line represented by the equation y = 5x - 3?
ult
3

Answers

The slope of the line y = 5x - 3 is 5

Answer:

y= mx + b

and to my knowledge 5 would be your slope since m=5

Check my answers please

Answers

Answer:

i think u are right

Step-by-step explanation:

With ___, if you increase the input, the output decreases proportionally.
A. direct variation
B. inverse variation
c. joint variation
D. marginal variation

Answers

Answer:

A. Direct Variation

Step-by-step explanation:

I had the exact same answer on my test and I got this one correct

Answer:

Inverse Variation

Explanation:

While direct variation describes a linear relationship between two variables , inverse variation describes another kind of relationship. For two quantities with inverse variation, as one quantity increases, the other quantity decreases.

guys pls help me!!!!!!

Answers

Answer: x = 21 degrees

Explanation:
Since x and the given angle are along a shared straight line and make up different angles that add to 180 degrees, x can be found with the equation 180 - 159 = x.

Answer:

x=21

Step-by-step explanation:

x=180°-159° (int angles, m//n)

=21°

Solve the inequality. Graph the solution.
y- 2≥-4

Answers

The answer is y greater than or equal to -2

PLZ HELP, a) twenty two and nine hundred eight thousandths in decimal form. b) three and seven tenths.l in decimal form c) sixty nine and fifty three thousandths in decimal form

Answers

Answer:

Twenty two and nine hundred eight thousandths= 22.908

three and seven tenths = 3.7

sixty nine and fifty three thousandths= 69.053

PLEASE HELP ME PLWASE MY LAST ATTEMPT PLEASE HELP ME!!!!!!!

Answers

9514 1404 393

Answer:

  y = -3/4(x -2)

Step-by-step explanation:

You are given point (2, 0) on the new pipeline. To find the equation of it, you need to know the slope of the line on the graph. A careful look at the graph shows you the line goes through grid points that are separated by 4 units horizontally, and 3 units vertically. For a positive horizontal change, the vertical change is negative, so the slope is ...

  m = rise/run = -3/4

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For m = -3/4 and (h, k) = (2, 0), the equation is ...

  y = -3/4(x -2)

_____

Additional comments

If you use the distributive property to eliminate parentheses, the equation becomes ...

  y = -3/4x +3/2

The slope of the red pipeline can also be determined by considering the slope of the blue pipeline. The two marked points on that line have a horizontal separation of 3 and a vertical separation of 4. Its slope is ...

  m = rise/run = 4/3

The slope of the perpendicular (red) line is the opposite reciprocal of this:

  -1/m = -1/(4/3) = -3/4 . . . . as we determined from the red line's graph

Could someone please help answer this (homework help) will give brainliest, please no spam, thank you!

Answers

Answer:

m= 4(25) + 2(7)

m= 100 + 14

m= 114

Sun and Spokes sells racing bikes for $1,800. A bicyclist purchases one of the bikes for 30% less
han the retail price. How much did the bicyclist spend on her racing bike?

Answers

Answer:

$1,260

Step-by-step explanation:

You first need to find 30% of 1,800, which is 540. And then, because it's 30$ less than retail price, you would need to subtract that from the initial price:

1,800-540 = 1,260

HERE IS ANOTHER ONE WHERE YOU WILL GET 40 POINTS IF YOU ANSWER IT CORRECTLY. THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.

Answers

Answer:

Option A is the correct answer

Jason Typed he types of 1260 word paper  in 30 minutes. At that rate, how long would it take him to type a 2100 word paper?

Answers

Solution:

1260/30=42 words per min

1200/42= 28.57

Answer:

So it would take Jason 28 min and 57 seconds or approximately 29 minutes to type the paper.

(Can you please mark this brainliest??) :)

Answer:

The Answer is 50 minutes! (Sorry if I'm Wrong)

Step-by-step explanation:

If you divide 1260 by 30, you will get 42. So, If you multiply 42 by 50, you will get 2100! Hope this helps and please mark me brainiest.

How to write 3/2 as a mixed number

Answers

Answer:

1 1/2 or 1.5

Step-by-step explanation:

Hope it helps sorry if it's wrong :)

1 1/2 you take 3 divided by 2 which equals 1 then you got 1/2 left so your answer is 1 1/2

what is the answer to: − 2 − 1 3 . 8 = − 8 − ( 6 + 1 )?

Answers

I’m pretty sure it’s -15 but don’t take my word for it

The Tigers lost 10 yards on their first play and gained 2 yards on their next play. What was their net result in yards after these two plays?

Answers

Answer:

8 or -8

Step-by-step explanation:

Lets just say their net results equals x so -10+2=x

-10+2=-8 which i think you would take off the negitave and it would be an 8 I'm not sure sorry:(

Sorry I couldn't help

Michael and Lindsey are saving money. Micheal begins with $20 and saves $5 per week. Lindsey begins with no money, but saves $10 per week. Enter the number of weeks it will take for Lindsey and Michael to save the same amount of money.

Answers

Step-by-step explanation: 4 Weeks

Find the first match in the same number of weeks.

25, 30, 35, 40, 45, 50, 55, 60

10, 20, 30, 40, 50, 60, 70, 80,

As you can see, 40 dollars for each person is four weeks.

Answer:

5

Step-by-step explanation:

plz mark brainly

Determine the y-intercept of the following equation. (x+3) (-x-2)= y

Answers

Answer:

-6

Step-by-step explanation:

put x=0

(0+3)(-0-2)=y

y=-6

2
1. Beth works at the mall for $12.75 per
hour. She works for 41 hours per day on
2 days each week. How much does she
make in 2 weeks? (before taxes)?

Answers

Answer:

$2091

Step-by-step explanation:

We know:

12.75 per hour (h)

41 hours each day twice a week: each week (41 x 2) = 82

Since it is asking for two weeks: 82 x 2 = 164 hours

164 x 12.75 = $2091

I will brainlist who can answer this 3 Questions!​

Answers

Answer:

20.) A

y = 10x + 15

21.) C

Php 75.00

22.) B

Php 195.00

Step-by-step explanation:

20.)

We see an increase of 10y per x, which is where we get "10x"

This means that at x = 1, y = 15, which is where we get "+ 15"

21.)

Plug in 6 for x

y = 10(6) + 15

y = 60 + 15

y = 75

Php 75.00

22.)

Plug in 18 for x

y = 10(18) + 15

y = 180 + 15

y = 195

Php 195

Which of these expressions is equivalent to log ( 15 x 24 )

Answers

Answer:

15*24=360

Step-by-step explanation:

Answer:On A.p.E.X its Log (15) + Log (24)

Step-by-step explanation:

two ratios that are equivalent to 4:18

Answers

The answers are 2.9 and 6.36


Write an equation in slope-intercept form that has a slope of 3 and a y-intercept of 6

Answers

y=3x+6

y=mx+b 3 is slope and m is also the slope, six is b because it’s where it BEgins :)

Which is the solution set of this
inequality?
- 2n – 7> -25
-
A. n> 16
B. n< 16
C. n>9
7
D. n<9

Answers

Answer: n> 16

:))))))))

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