the difference of a number and its absolute value.

Answers

Answer 1

Answer:

he sum of the first number and the square of the second number is 18. The difference between the square of the second number and twice the first number is 12.

I know the first set of equations would be x+y2=18 and y2−2x=12, and we can get x=2 and y=2 or y=−2.

My question is about how to understand difference when making equations. I know it means subtraction but would you ever use absolute values when making the equation?

For example, if I said the difference between a number x and 7 is 3, then wouldn't there be two answers? I would think of it as |x−7|=3 and then we could get two answers: x=10 and x=4. My rationale is that on the number line, the distance between either of my x values and 7 is 3.

In the quoted question I began with, then I could get the numbers of x=10 and y=22–√ or y=−22–√ but that's only if I did |y2−2x=12| and I don't feel that's right.

Step-by-step explanation:

Answer 2
If a number is non-negative (0 and above), the difference between it and its absolute value would be 0. If the number is negative, the difference between it and its absolute value would be twice the absolute value.

For example, | -1 | = 1. 1 - (-1) = 2

Related Questions

The ratio of boys to girls in Mrs. Townsend's class is 3:4. If there are 15 boys in her class, how many students does Mrs. Townsend have in her class altogether?

Answers

Answer:

There should be 35 student in her class altogether.

If each block sides are 1 cm long, what is the volume of this object?

Answers

4 cubic centimeters.

Brainliest would be great. Comment below if it helped!

Answer:

The volume for this object is 4.

Step-by-step explanation:

For each block, we need to multiply using the volume formula which is

Length x Width x Height

So, if the side lengths for all these blocks are 1. That means we would do 1x1x1 for every block. Since there are 4 blocks that means our equation for the whole object would be 1+1+1+1 or simply 1x4. And we all know the answer to our equation 1 x 4 is 4.

, Hope this helps :)

Have a great day!!

please help me with this

Answers

Answer:

The answer will be “B”

Step-by-step explanation:

If you liked this answer please give brainleist and rating! Hope this helps! ^_^

30 POINTS AND BRAINLIST TO GRAPH

Graph the equation by translating y=|x|.

y=|x+5|

Answers

Answer:

Please refer to the attached photo.

Step-by-step explanation:

Table of values

[tex]\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \sf x &\sf -8 &\sf -7 &\sf -6 &\sf -5 &\sf -4 &\sf -3 &\sf -2 &\sf -1 &\sf 0 &\sf 1 &\sf 2 \\\hline \sf y &\sf 3 &\sf 2 &\sf 1 &\sf 0 &\sf 1 &\sf 2 &\sf 3 &\sf 4 &\sf 5 &\sf 6 &\sf 7 \\\hline \end{array}[/tex]

( BRAINLIEST QUEATION)
Find the HCF and LCM of 72 and 56

Answers

for detailed and showed working my answer is in the picture above

lcm = 504

hcf = 8

Answer:

The HCF of 72 and 56 is 8

and, the LCM is 504

Marlena bought a car in 2010. As years passed, the value of the car decrease linearly, as shown in the table. What was the purchase price of the car in 2010, and how much does it decrease each year? ​

Answers

Answer:

B

Step-by-step explanation:

Difference between value as the years pass, ($22,050-$19,600 = $2,450)

To find purchase price: $22, 050 + $2,450 = $24,500

HELP HELP HELP PLEASE I HAVE 5 MINS TO ANSWER THIS WILL MARK BRAINLIEST

LOOK AT ATTATCHMENT ​

Answers

Answer:

2 & 4

Step-by-step explanation:

There is a closed circle meaning the range is eqaul to or less than 4.

The range is -1 to 4 (not inclusive of -1)

.1325 to the thousandth​

Answers

.1325 to the thousandth is 0.133

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

0.133

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]0.1325\\\rule{150}{0.5}\\\rightarrow 0.132\textbf{5} \text{ This is the rounding number.} \\\\\text{Since it is} \geq 5, \text{we will round up.}\\\\\rightarrow 0.1325 \approx \boxed{0.133}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Jamie saw 12 ducks on the lake. When Jamie said that 1/2 of the ducks swam away, how many ducks was that?

a) 8
b) 4
c)6

Answers

6
12 divided my 2 is 6
or 6 + 6 is 12.
Hope this helps

Shannon says that the lines y=-3x-4, y = -x + 6, y = -4x - 5, and y=-x-5 could represent the sides of a rectangle. Explain Shannon's error.

Answers

The adjacent sides of rectangle form 90° to each other or are

perpendicular, while the opposite sides are parallel.

The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be [tex]-\dfrac{1}{m}[/tex]

Reasons:

In a rectangle, the adjacent sides are perpendicular to each other, while

the opposite sides are parallel.

The slope of parallel lines are equal, and the slope, of a line perpendicular to another line with slope, m, is [tex]-\dfrac{1}{m}[/tex], therefore the slopes of the parallel sides should be equal, which gives;

The equations should consist of two pairs of equations of lines with equal slopes, such as the pair, y = -x + 6, and y = -x - 5The slope of the other two lines should therefore be [tex]-\dfrac{1}{-1} = 1[/tex], which gives the equations of the other two lines as y = x - 4, and y = x - 5, respectively.

Therefore;

The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be [tex]-\dfrac{1}{m}[/tex]

Learn more here:

https://brainly.com/question/12686176

According to the image below What does n=

Answers

Answer:

N=3

Step-by-step explanation:

When we divide we substract the powers when we multiply we add up the powers of the same number.

Answer:

n = 3

Step-by-step explanation:

The ratio of adults to children is 16 to 10. If there are 40 adults, how many children are there? Complete the ratio table to find the number of children.

Adults 16 8 40
Children 10
25
30
20
15

Answers

Answer:

Answer:    25

Step-by-step explanation:

    Ratio: 16:10

    Number of adults=40

    So,

        16     =     40

        10            x

16(x) =    40(10)                 [ CROSS-MULTIPLICATION ]

16x    =      400                   [ TRANSPOSE 16 TO THE RIGHT }

 x     =      25

Step-by-step explanation:

7x398 thats the questioni need you to answer hahah

Answers

answer is 2,786 if i’m correct.

Answer:

2,786

Step-by-step explanation:

You can make this easier by taking the expanded form of 398:

300 + 90 + 8

7 x 300 = 2100

7 x 90 = 630

7 x 8 = 56

Then add all these values together:

2100 + 630 + 56 = 2,786

Need help ASAP! Directions in picture;)

Answers

Answer:

[tex]x=61[/tex]

Step-by-step explanation:

We can find the angle directly above the [tex]2x+8[/tex].

We know that because they both lie on a straight line, the other angle is [tex]180-(2x+8)=172-2x[/tex].

Aha! We have a path to the solution!

[tex]172-2x=x-11[/tex] because of the parallel line angle theorem(I forget what it's called).

We then add [tex]2x[/tex] and [tex]11[/tex] to both sides to get [tex]183=3x[/tex].

Lastly, we divide by [tex]3[/tex] to get [tex]61=x[/tex].

So, [tex]\boxed{x=61}[/tex] and we're done!

3 3/4 divided by 2 1/12 in simplest form

Answers

Answer: the final answer is 1 4/5 or 9/5

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

3 3/4 turns into 15/4 and 2 1/12 turns into 25/12

Second: then flip the 2nd fraction so it becomes 12/25

now multiply straight across: 15/4 x 12/25

15 x 12=180

4 x 25=100

180/100= 9/5= 1 1/4

Simplest form of quotient of given fractions is 9/5.

The given fractions are [tex]3\frac{3}{4}[/tex] and [tex]2\frac{1}{12}[/tex].

How to divide two fractions?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

[tex]3\frac{3}{4}[/tex] can be written as [tex]\frac{15}{4}[/tex] and [tex]2\frac{1}{12}[/tex] can be written as [tex]\frac{25}{12}[/tex].

Keep 15/4 and change division sign to multiplication sign and reverse the fraction 25/12 as 12/25.

That is , [tex]\frac{15}{4} \div \frac{25}{12} = \frac{15}{4} \times \frac{12}{25}[/tex]

[tex]=\frac{3}{1} \times \frac{3}{5} =\frac{9}{5}[/tex]

So, quotient = 9/5

Therefore, simplest form of quotient of given fractions is 9/5.

To learn more about the fractions visit:

https://brainly.com/question/10708469.

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Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?

Answers

Answer:$25.00

Step-by-step explanation:

Net Amount (excluding tax) $25.00

Tax (10.0%) $2.50

Gross Amount (including tax) $27.50

in short 10% tax of $25.00 is $27.50.

The required cost of the sweatshirt before tax s given as $24.50.

What is the percentage?

The percentage is the ratio of the compositions of matter to the overall composition of matter multiplied by 100.

Here,
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%.
Cost of the sweatshirt before tax = 27.50 - 10% of 27.50
                                                   = 27.50 - 0.1× 27.50
                                                  = $24.50

Thus, the required cost of the sweatshirt before tax s given as $24.50.

Learn more about percentages here:

brainly.com/question/13450942

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Using the function y=x+7 find the output for the input x= 3

Answers

Answer:

10

Step-by-step explanation:

y=(x=3)+7

y=3+7 add

y=10

A shipping box is 12 inches by 18 inches by 16 inches the shipping box will be filled with smaller boxes each boxes each smaller box is 3 inches by 2 inches by 4 inches

Answers

The number of small boxes that will fill the truck will be 144 boxes

The formula for calculating rectangular box is expressed as:

V = LWH

L is the length

W is the width

H is the height

For the large box

Volume = 12 * 18 * 16

Volume = 3,456 cubic inches

For the small box:

Volume of the small box = 3 * 2 * 4

Volume of the small box = 24 cubic inches

Number of small boxes that will fill the truck = 3456/24

Number of small boxes that will fill the truck = 144

Hence the number of small boxes that will fill the truck will be 144 boxes

Learn more here: https://brainly.com/question/10865653

Write the equation of a line passing through point (9, 7) and is parallel toy=43x+6. (Place your answer in slope intercept form and do not use spaces in your answer).

Answers

I don't know I don't know

Omggg pls help me with this question pls pls pls!!!!!!

Answers

I’m not 1000% sure, but i’m almost positive it’s A. :)

Answer:

A

Step-by-step explanation:

A. is the answer I'm sure

please need help! it’s discrete math!!

Answers

Answer:

B

Step-by-step explanation:

It's easy.

Answer:

Free

is all I see

Step-by-step explanation:

Did I do this right? Tell me

Answers

yes you did it right

Mrs. Chiu checks 30 problems in 2 minutes. How many problems can Mrs. Chiu check in 68 minutes?

Answers

1,020. Divide 30 by two get the amount she can do in one minute, you get 15. Then multiply that by 68, and you get 1,020. Hope this helps :)

I need someone to explain to me how to solve this, because I need to show my work.

Answers

so to find the answer you have to know what the mixture is, what the trend is,

on day one he used 4 cans of blue and 6 cans of yellow

day two, 6 blue and 9 yellow

both are divisible by 2 and 3 respectively, additionally when you divide the number of blue cans Marc used by the number of yellow cans each day you get a sum of .66

those are the trends

so therefore day three would have the same trend.


Now on day three Marc will have 4 cans of blue paint and 5 cans of yellow paint remaining, what I did here to find the answer was divide numbers under 4 and 5 until I got a division problem that equaled .66

my answer was 2 blue cans and 3 yellow.

The answer is that on day three the highest number of cans that Marc can mix to get his favorite shade of green is 2 blue and 3 yellow

Arrange the following inequality into slope-intercept form. Then, describe what type of boundary line would be used and where to shade.

6x > 2y ‒ 5

Answers

Answer:

To put this equation in point slope form, we want an equation of the form y=mx+b or in this case, y< mx+b or y< mx+b. To isolate y, we divide through by 2 and move the 5/2 to the other side, so the equation becomes 3x+5/2 > y. So, since we are interested in all values of y that are less that 3x+5/2 we would shade the region below the line. Since y=3x+5/2 is not a solution to the inequality since it is strictly less, we would need a dashed boundary line since the boundary is not included.

Step-by-step explanation:

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

Cortney had 5 pieces of candy Cortney ate 1 piece how many pieces does Cortney have left?

Answers

4. 5-1=4. Hope this helps :)


2. Walter bought a 21-pound bag of flour. He used 4.2 pounds of the flour.
He stored the rest of the flour in 2 2/5-pound portions. What is the number
of 2 2/5-pound portions he stored?

Answers

Hi, I did
21-4.2=16.8 left
Since he stored in 2 2/5 portions I converted 2 2/5 to 2.4 and did 16.8/2.4=7 therefore he stored the flour in 7 portions.

Hope this helps !

what is (4x-3)(x-11) do you know

Answers

Answer:

[tex](4x - 3)(x - 11) = 4 {x}^{2} - 47x + 33[/tex]

Answer:

4x^2 - 47x + 33

Step-by-step explanation:

1. To multiply binomials, we must apply the FOIL method, meaning:

F = Multiply first term in first parentheses by first term in second parenthesesO = Multiply outside term in first parentheses by outside term in second parenthesesI = Multiply inside term in first parentheses by inside term in parenthesesL = Multiply last term in first parentheses by last term in second parentheses  

2. (Solving)

[tex](4x-3)(x-11)[/tex] [tex](4x)(x) + (4x)(-11) + (-3)(x) + (-3)(-11)[/tex]  [tex]4x^2 - 44x - 3x + 33[/tex] [tex]4x^2 - 47x + 33[/tex]

Therefore, the answer is 4x^2 - 47x + 33

Simplify 11 square root 1215

Answers

Answer:

35

Step-by-step explanation:

Its 34.85685 but simplifies to 35.

Answer:

[tex]99\sqrt{15} \thickapprox \:383.42535[/tex]

Step-by-step explanation:

[tex]11\sqrt{1215}[/tex]

Factor [tex]1215[/tex] [tex]=9^{2} \times 15[/tex]. Rewrite the square root of the product [tex]\sqrt{9^{2} } \sqrt{15}[/tex], than take the square root of [tex]9^{2}[/tex].

[tex]11\times 9\sqrt{15}[/tex]

Multiply 11 and 9 which will give you 99.

[tex]99\sqrt{15}[/tex]

_________________________

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