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Answer:

1. y=|x−3|+|x+2|−|x−5|, if -2<x< 3  = x

2. y=|x−5|+|x+5|, if x>5 = 2x

3. y=|x−5|+|x+5|, if x<−5 = -2x

4. y=|x−5|+|x+5|, if −5<x<5 = 10

Modulus value means it always gives positive value. Therefore,

Step-by-step explanation:

if x < a, then |x - a| is positive when |x - a | = a -x, which is positive as a is larger than x.

and if x >a, then |x-a| is positive when |x-a| = x - a, which is positive as a is smaller than x.

Applying the same,

(1) for  -2 < x < 3,

|x - 3 | = 3 - x, as x <3

| x + 2 | = | x - (-2)| = x - (-2) = x+2 as x> -2

| x - 5 | = 5 -x , as x < 5

therefore, y = |x−3|+|x+2|−|x−5| = 3 - x + x + 2 - (5 - x) = x

(2) for x > 5,

|x - 5|= x - 5

|x  + 5| = | x - (-5)| = x + 5

therefore y = x - 5 + x + 5 = 2x

(3) for x < -5,

|x - 5| = 5 - x

|x + 5| = |x - (-5)| = -5-x

therefore y = 5 - x + -5 -x = -2x

(4) for -5< x < 5,

|x -5| = 5 - x

|x +5| = x + 5

y = 5 - x + x + 5 = 10

Answer:

The answer is D

Step-by-step explanation:

When you have an exponent on a number it just means that number must be multiplied by itself as many times as the exponent says.

Example: 6^2 this just means 6*6 since the exponent is 2.

Now for this question since the exponent is 4 you get your expression 6^4 or 6*6*6*6.

Hope this helped.

A brainliest is always appreciated.

Answer:

Ayden painted more square meters (more/less) than his goal. Because 80 percent of 500 is 400. This means that Aydan's goal was 400. Since 415 is greater than 400 Aydan reached his goal!

Step-by-step explanation:

Answer:

27.67 or 27 2/3

Step-by-step explanation:

Answer:

27.67

Step-by-step explanation:

Can't really explain it.

I don't have time.

Sorry and bye!

Answer:

320

Step-by-step explanation:

80 ÷ 2 * (3 +5)

80 ÷ 2 * 8

40 * 8

320

Hope this helps!

Answer:

320

Step-by-step explanation:

Using pemdas we would add the 3 and 5 first, so 8. then 80/2 is 40, 8x 40 = 320

Answer:

8/21

Step-by-step explanation:

thanks for the points, the answer is right guys

The height of the prism is 8 feet.

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given : sum of length of legs = 42 feet

Surface Area of trapezoid = 1/2* (Sum of opposite side)* height

                                            = 1/2* 42*18

                                             = 468

Perimeter = 15+37+ 42

                = 94 feet

Total Area= 2 ( Area of base) + pH

       1688   = 936 + 94H

       H= 8 feet.

Thus, height of the prism is 8 feet.

Learn more about surface area here:

https://brainly.com/question/2835293

#SPJ2

Answer:

C

Step-by-step explanation:

Line slope calculation formula: The difference of the second components is divided by the difference of the first components. It should be noted that they are reduced in order. The components of a point on the numerator and denominator must always be written first.

Answer:

C

Step-by-step explanation:

Slope formula:

[tex]\mathsf{slope=\dfrac{(y_2-y_1)}{(x_2-x_1)}}[/tex]

where [tex]\mathsf{(x_1,y_1)}[/tex] and [tex]\mathsf{(x_2,y_2)}[/tex] are points on the line

Given:

[tex]\mathsf{slope=\dfrac{(-4-6)}{(-7-3)}}[/tex]

Answer:

62.8 inches

Step-by-step explanation:

The wire consists of 14 semicircle + 4 3/4 circles.

Answer:

8.The residents of New Jersey would be Population

Residents of Ocean Country would be Sample

9. 4 cards would be sample

All cards in a deck would be population

What is the difference between the two?

Believe it or not, there are differences between the two. Population is the WHOLE THING of what you are looking at. Sample, however, is just a very small peice in the whole picture.

How can I tell the difference?

You can tell the difference by thinking about it logically. Ask yourself these questions. Is there a bigger thing involved?, Can I find something bigger?, etc.

I hope this helps you!

Answer:

37.7 feet would be your answer

Step-by-step explanation:

circumference = pi * diameter

circumference of metal frame = pi * (diameter of metal frame)

(diameter of metal frame) = 12

Circumference of Metal Frame = 3.14 * 12 = 37.68

therefore D: 37.7 feet would be your answer

(please give brainliest)

Answer:

The interest rate is  6.14285714286

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

1) the line provided on the graph is y= -4x-2, then

2) the corrrect answer is A:-2y>8x+4.

Answer:

the temperature changed 4° from Sundays high to Mondays high :)

The temperature when about  4 degrees.

When we look at the chart,the dot was at 10 on sunday, and on monday it went up to 6°

10-4 is 6

Sunday to Monday up:4°

Monday to Tuesday: up 2°

Tuesday to Wendsday: down 2°

Wendsday to Thursday: up 6°

Thursday to Friday: up 4°

Friday to Saterday: down 3°

-Learning with Natalia-

Brainliest??

Answer:for getting 6 is 0.436% likely you'lll get 6

Step-by-step explanation:  

Answer: for getting 6 is 0.436% likely you'll get 6

Step-by-step explanation: for getting 6 is 0.436% likely you'll get 6. Hope this helps :)

Answer:19

Step-by-step explanation:

90 - 23 = 67, 67 = 4x - 9, 76 = 4x, 76 / 4 = 19

Answer: I'd say the third graph seems correct, if its not the third graph then the fourth graph

Hii

Now, in order to figure out which graph it is, we need to solve the problem.

Say someone bought 1 cup of orange juice. That would be 2$. Say they wanted a refill,that would be 3$. And so on

The first graph  states that they got 5 refils, so the 2$ to get the orange juice, plus 5. That would be 7$. So the first graph is incorrect.

The second graph states that they got 9 refills. So the 2$ to get the orange juice, then 1$ for each refill, so 9$. So 11$.

The third graph states that someone got 4 refills. So, 2$ to get the cup. Then an extra 1$ for every refill. So 4$,plus 2$ is 6$

The fourth graph states that they got 8 refills. So the 2$ to get the cup, plus the 1$ each refill, since they got 8 refills, it would be 8$, So 10$.

Since the fourth graph was the only graph that showed the right cost of orange juice, this is correct

Answer: Graph 4

Hope this helps!

~Learning with Natalia~

Answer:

It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan  would cost $74.79.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\bf\:0.5 \: dollars }[/tex]

Step-by-step explanation:

Given,

We need to find the unit price OR the price of 1 plastic cup.

To find this, we need to divide the cost of the total nunber of cups bought by the number of cups bought. Then,

Cost of 1 cup

= Cost of 9 cups/9

= 4.51 / 9

= $ 0.5 (rounded price)

[tex]\rule{150}{2}[/tex]

Answer:

50 cents or $0.50

Step-by-step explanation:

c = the cost of each plastic cup, the unit price.

9c = 4.51

/9     /9

c = $0.50 per cup

Each cup costs 50 cents or $0.50

Hope this helps!

The numbers are unclear,  please repost.

Thanks!

Brainliest?

Answer:

Perimeter: 6+[tex]9\sqrt{2}[/tex] units

Area: 13.5 [tex]units^{2}[/tex]

Step-by-step explanation:

I wasn't sure what to estimate to...

for perimeter use: [tex]a^{2} +b^{2} =c^{2}[/tex]

I noticed that the trapezoid was made up of 3 identical triangles, so find the area of one of them times 3

one triangle area: [tex]\frac{1}{2}[/tex] (b · h)    b = base, h = height

plug- in values, so [tex]\frac{1}{2}[/tex] (3 · 3) is half of 9 which is 4.5.

3 · 4.5 is 13.5

Answer:

12,345/23,134,2300,253,21,237,3,75,429

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

answer is 12

Answer:

It's 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope-intercept form: y = mx + b

2) 13x -11y = -12

  -13x          -13x

  -11y = -13x - 12

  /-11        /-11

   y = [tex]\frac{13}{11}x+\frac{12}{11}[/tex]

4) x - 3y = 6

   -x        -x

    -3y = -x + 6

    /-3        /-3

   y = [tex]\frac{1}{3} x-2[/tex]

6) 4x - y = 1

  -4x      -4x

    -y = -4x + 1

    /-1        /-1

    y = 4x - 1

8) 11x - 8y = -47

   -11x        -11x

      -8y = -11x - 47

       /-8         /-8

      y = [tex]\frac{11}{8}x +\frac{47}{8}[/tex]

Hope this helps!

Answer:

n=12

Step-by-step explanation:

1/6n=2 we multiple both sides by 6/1

2*6=12 so n=12

Answer:

n = 12

Step-by-step explanation:

If 1/6 of n = 2 that means 1/12 of n = 1

You can work this out by turning n into 1 instead of 2 by dividing by 2. You have to then divide 1/6 by 2 and half of 1/6 is 1/12. Therefore, 1/12 of n = 1

You can then do 1 x 12 which equals 12

Overall, n = 12

Answer:

C) plant respiration & D) factory emissions.

Step-by-step explanation:

In the given Carbon cycle,

Emissions of smoke from factories should go out towards the atmosphere & not inside the industrial chimneys.

Respiration of plants (which is, oxygen) should go out in the atmosphere for the survival of all the other living organisms that depend on oxygen.

______

Hope it helps ⚜

Answer: factory emissions

Step-by-step explanation: it should be pointing up

Answer:

Step-by-step explanation:

Point M=5.64