Rewrite each equation without absolute value for the given conditions
y=|x-5|+|x+5| if x>5
y=|x-5|+|x+5| if x<-5
y=|x-5|+|x+5| if -5

Answers

Answer 1

Step-by-step explanation:

Condition 1

x > 5, both terms are positive

y = x - 5 + x + 5 = 2xCondition 2

x < - 5, both terms are negative

y = - (x - 5) - (x + 5) = - x + 5 - x - 5 = - 2xCondition 3

This is not clear

Answer 2

If x>5

Terms are positive

Hence..

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

If x<-5 terms are negative

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

If x=-5

y=|-5-5|+|-5+5|y=|-10|y=10

Related Questions

You make a shade of green icing using 2 drops of yellow food coloring for every 4 drops of blue. How many drops of blue food coloring would you need if you use 4 drops of yellow food coloring? how many drops of blue food coloring would u need if you use 4 drops of yellow food coloring ​

Answers

Answer:

8 drops of blue

Step-by-step explanation:

You doubled the yellow from 2 drops to four

  so double the blue from 4 to 8

In preparation for an earnings report, a large retailer wants to estimate p= the proportion of annual sales

that occur during the month of December. A SRS of sales from last year revealed that 37 of

the randomly selected sales occurred during the month December out of 161 sales.

Answers

Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The sample size and the estimate are given by:

[tex]n = 161, \pi = \frac{37}{161} = 0.2298[/tex]

Hence:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948[/tex]

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

More can be learned about the z-distribution at https://brainly.com/question/25890103

A simple random sample of 49 8th graders at a large suburban middle school indicated that 89% are involved in some type of after school activity. Find the 95% confidence interval that estimates the proportion of them that are involved in an after school activity.

A. [0.722], [0.978]
B. [0.802], [0.978]
C. [0.702], [0.928]
D. [0.802], [0.778]
E. [0.852], [0.857]
F. None of the above

Answers

Answer:

B. [0.802], [0.978]

Step-by-step explanation:

n=49

p=.89

confidence level of 95% has a z value of 1.960

z*= 1.960

z*=qnorm(1.95/2)

p+/-z* multiplied by sqrt[ P * ( 1 - P ) / n ]

p+/-z*times(√(p)(1-p)/n)

.89+/-1.960* (square root of (.89)(.11)/49))

calculatornetconfidenceintervalcalculatorhtml

mathuheducathyMath2311TestsTest2032311PT3helppdf

A bag contains seven red balls, five green balls, four yellow balls, and two black balls. A ball is picked at random
from the bag. What is the probability that the ball will NOT be black?


Answers

Answer:

50/50 chance a black ball will be picked


There were 57 cars in a parking lot at 9:00 AM and 36 different cars at 8:00 PM.
How many cars were there all together?
21 cars
83 cars
93 cars
97 cars

Answers

Answer:

C. 93 cars

Step-by-step explanation:

57 cars + 36 cars = 93 cars

Solve the following quadratic equation by factorin
x - 12x + 35 = 0
2
x? -
The solution set is {}.
(Simplify your answer. Type each solution only

Answers

Answer:

(x - 5)(x - 7x)

Step-by-step explanation:

x - 12x + 35 = 0

x - 12x + 35 = 0

x - 5x - 7x + 35= 0

x ( x - 5) -7x(x + 5)

(x - 5)(x - 7x)

Which equation has the solution x = 2?

A. 2x - 3 = 19
B. 3 x + 2 = 8
C. 4x - 4 = -4
D. 5x + 1 = 10

Answers

Answer:

=> B. 3 x + 2 = 8

Step-by-step explanation:

=> 3x+2 = 8

=> 3(2) +2 = 8

=> 6+2 = 8

=> 8 = 8

Convert the binary number 1101001 to decimal.

Answers

Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

is 0.304 meters less than 1 meter

Answers

Answer:

yes!

Step-by-step explanation:

because it is 0.

if it is was 1.304, it would be more than 1 meter.

Hope this makes sense! If you have further questions, let me know!

- profparis

The total price of 5 pounds of bananas was $1.95. What was the price per pound?

Answers

Answer:

Well you divide the total of 1.95/5

.39 cent

Answer:

you would need to do 1.95/5 and that equals 39 cents so your answer would be .39

Find the surface area of the prism. Write your answer as a fraction or mixed number
2/3ft
2/3ft
2/3ft

Answers

12.94 is the total surface area lateral surface area 8.94 bottom surface area is 4

HELLLPPLPPPP MUDDLE SCHOOLLL!!!!

Answers

Answer:

D.

Thats what gauth.math said

Which distribution has the greatest spread? A. distribution 1 B. distribution 2 C. distribution 3 D. distribution 4

Answers

Answer:

D I think so

Step-by-step explanation:

HOPE IT HELPS

what are two variables that might be positively related to academic success?

Answers

study habits and career goals/higher education goals

If the cube shown above is sliced by a plane to create a triangle, which sets of vertices could the plane pass through?
A.
4, 5, and 7
1, 2, and 7
2, 3, and 7

B.
1, 3, and 4
2, 3, and 8
1, 3, and 7

C.
3, 5, and 8
1, 2, and 6
2, 4, and 7

D.
4, 5, and 7
1, 3, and 8
2, 4, and 7

Answers

Answer:

The correct answer is D.

4, 5, and 7

1, 3, and 8

2, 4, and 7.

Hope this helps you czn!!!!!

Thankyou For joining Brainly Community!!!!

Don't froget Mark me Brainleast!!!!

Answer: the correct answer is d .

4,5 and 7

1,3 and 8

2,4 and 7

Step-by-step explanation: I HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .

Find the surface area.
9 in
7 in
16 in

Answers

❀ Explanation -:

In this question we are provided with the length breadth and height and we are asked to find the surface area of the figure.

[tex] \small\bf{ Length = 16 \: inches } \\ \small\bf{Breadth = 7 \: inches} \\ \small\bf{Height = \: 9 \: inches} [/tex]

We know,

[tex] \pink\star \: \large\boxed{ \pink{ \rm{ Surface \: area = 2(lb + bh + hl)}}}[/tex]

Substituting the values we get

Surface area = 2(16 × 7 + 7 × 9 + 9 × 16)

= 2(112 + 63 + 144)

= 2(319)

= 638

Surface area = 638 inches².

Hey !

Question :

Find the surface area of cuboid .

Given :

Length of Cuboid = 16 inches

Breadth of Cuboid = 7 inches

Height of Cuboid = 9 inches

To Find :

We have to find the surface area of given cuboid .

Concept :

The concept of this question belongs to surface areas of different three dimensional shapes . Whether they are cuboid , cube , cylinder , cone and many more .

Formula Used :

[tex] \boxed{\sf{ \pink{Surface \: Area \: of \: cuboid=} \pink{2(lw + wh + hl)}}}[/tex]

Where ,

l = length height of cuboid

w = width height of cuboid

h = height of cuboid

So Starting Our Solution :

Substituting value in formula ,

[tex] \longmapsto \: 2 ((16 \times 7) + (7 \times 9) + 9 \times 16)[/tex]

Now ,

[tex] \longmapsto \: 2(112 + 63 + 144)[/tex]

Adding the values which are inside bracket ,

[tex] \longmapsto \: 2(319)[/tex]

Now multiplying 319 by 2 ,

[tex] \longmapsto \: \bold{ 638 \: inches {}^{2} }[/tex]

Therefore ,

[tex] \boxed{ \sf \pink{Surface \: area \: of cuboid = 638 \: in {}^{2} }}[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

#[tex] \rm{Keep \: Learning}[/tex]

The line L passes through the points (5, -5) and (1, 2).
Find the gradient of line L.

Answers

gradient of L = -7/4

Explanation:

[tex]\sf gradient = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Insert the following values.

[tex]\rightarrow \sf \dfrac{2-(-5)}{1-5}[/tex]

[tex]\rightarrow \sf \dfrac{7}{-4}[/tex]

[tex]\rightarrow \sf -\dfrac{7}{4}[/tex]

hello!

Use the slope formula:-

(the slope is the same as the gradient)

[tex]\sf{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\sf{\displaystyle\frac{2-(-5)}{1-5}}[/tex]

[tex]\sf{\displaystyle\frac{2+5}{-4} }=\frac{7}{-4} ={\boxed{-\frac{7}{4} }}\leftarrow\sf{slope~of~line~L}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer: Choice D

Reason:

Choices A through C all result in 8/3 = 2.667 approximately

In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.

Angeline puts $2000 into savings account which receives 2.6% interest per year. How much interest will she have on her savings at the end of year??

Thank you so much!

Answers

Answer:

A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?

Step-by-step explanation:

[tex]\pink{ \rule{0pt}{99999pt}}[/tex]

Emily is 4 years Jacob's junior. Eight years ago. she was half Jacob's age. How old are they?

Answers

Answer:

Emily is now 12.

Jacob is now 16.

Step-by-step explanation:

since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.

eight yrs ago: Emily is ( x-4-8) = ( x - 12)

Jacob is ( x - 8)

Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)

2( x - 12) = x - 8

2x - 24 = x - 8............ Bring the like terms together and solve for x

x = 16, which is Jacob's current age

Emily ( x - 4) = 12 yrs

8. An angle that contains 126° 32' is a/an Angle

angle.

A. straight

B. obtuse

C. right

D. acute

Answers

Answer:

B.

Step-by-step explanation:

A straight angle is exactly 180°

An Obtuse angle is more than 90°, but less than 180.

A right angle is 90°

An acute angle is less than 90°

Which of these inequalities means that
18 is greater than three times a number?

Answers

hello!

Let's write this verbal phrase as an inequality.

First of all, let the number be n.

"three times n" can be written like so:-

[tex]\pmb{3n}[/tex]

Now, 18 is greater than 3n:-

[tex]\pmb{18 > 3n}[/tex]

Which means 3n is less than 18:-

[tex]\bigstar{\boxed{\pmb{3n < 18}}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

A pair of equations is shown below:

y = 7x − 9
y = 3x − 1

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answers

If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point.  That is how you graphically "solve" the system of equations.

Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.

So for y=7x-9, the slope is 7 and the y-intercept is -9

For  y=3x-1, the slope is 3 and the y-intercept is -1

....

The solution for this system occurs when both coordinates are equal to each other so we can say:

7x-9=3x-1  subtract 3x from both sides

4x-9=-1  add 9 to both sides

4x=8  divide both sides by 4

x=2, making y=3x-1 become:

y=3(2)-1=6-1=5, so the solution to the system of equations is:

(2,5)

Answer:

Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.

Part B:The solution to the pair of equations is (2,5)

A perimeter of a square field is 200, what is the area of that field?

Answers

Answer:

2500

Step-by-step explanation:

The perimeter is given by the formula :

P = 4L  (L is length)

We rearrange the equation to get L as the subject:

L = P÷4

L = 200÷4

L = 50

The area of a square is given by the formula :

A = L²

A = 50²

A = 2500

Which answer is $734,596 rounded to the nearest thousand??

1) 734,500

2)734,600

3)735,000

4)734,000

Thank you so much

Answers

Answer:

2

Step-by-step explanation:

A garden store recently sold 44 seed packets, including 22 squash seed packets. considering this data how many of the next 94 seed packets sold should you expect to be squash seed packets?

Answers

The expected squash seed packets is its mean or average value

You should expect 47 squash seed packets in the next 94 seed packets

How to determine the expected squash seed packets?

The given parameters are:

Sample size (n) = 44 seed packetsSquash seed (x) = 22 seed packetsPopulation (N) = 94 seed packets

The expected squash seed packets is calculated as:

E(x) = x/n * N

This gives

E(x) = 22/44 * 94

Evaluate the product

E(x) = 47

Hence, you should expect 47 squash seed packets in the next 94 seed packets

Read more about expected values at:

https://brainly.com/question/15858152

consecutive integers differ by, such as 15 and

Answers

Answer:

integers are not fractions so there you go

(-3 + 3y = 9)(8x - 6y = -4)

Answers

Step-by-step explanation:

(3y=9+3)(8x-6y=-4)

(3y=12)(8x-6y=-4)

(y=12÷3)(8x-6y=-4)

(y=4)(8x-6y=-4)

Now putting the value of y in (8x-6y=-4)

8x-6*4=-4

8x-24=-4

8x=24-4

8x=20

x=20/8

x=5/2

1 3/5 gallons of gasoline were used to drive 25 1/2 miles. How many miles per gallons did the car get?​

Answers

Answer:

15.9375

Step-by-step explanation:

Just divide the number of miles over the number of gallons.

Write the rate in lowest terms.
A printer can print 14 pages in 56 sec.
The rate in lowest terms is ______ ?

Answers

Answer:

1 page in 4 sec.

Step-by-step explanation:

To find the rate in lowest terms, divide the 14 pages by 56 seconds and find the simplest fraction.

14/56 = 1/4 in simplest terms.

This means the rate is 1 page in 4 seconds.

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