can absolute value equations be equal to zero? my textbook says no but there are multiple equations equaling 0 or a negative numbers once I simplify.

Answers

Answer 1
Yes it can be. Absolute value is how many spaces away from zero there are. And if if I doesn’t move, then it is zero spaces away from zero. Sorry if this question doesn’t make sense. But all I’m saying is yes
Answer 2
Final answer:

Absolute value equations can equal zero but cannot equal a negative number. This is because the absolute value of a number is its distance from zero on the number line, which is always zero or positive.

Explanation:

In the field of mathematics, absolute value equations can indeed be equal to zero. The absolute value of a number is its distance from zero on the number line, irrespective of direction. Therefore, the only number whose absolute value (distance from zero) is zero, is zero itself.

One can encounter such a situation in an equation like |x|=0, where the solution is x=0, simply because 0 is the only number that is at zero distance from zero. However, for an absolute value equation to be equal to a negative number, this is impossible, because absolute value is a measurement of distance and cannot be negative. So, if your simplified equations are resulting in negative values, you might want to double-check your work.

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Related Questions

Urn A contains 1 red ball and 4 blue balls. urn B has 2 red balls and 3 blue balls. in each round you choose at random one ball from urn A and one from urn B. the process is then repeated until the first time you draw two balls of the same color. What is the probability that this process ends on the fourth round?

Answers

Answer: The probability is 0.06

Step-by-step explanation:

Urn A contains 1 red ball and 4 blue balls.

Urn B contains 2 red balls and 3 blue balls.

The probability of "selecting" a ball of a given colour is equal to the number of balls of that colour in the urn divided by the total number of balls in the urn.

Now, the probability of drawing two balls of the same color in the fourth selection needs to:

1 selection: red ball from A and one blue ball from B, the probability is:

Pa = 1/5, Pb = 3/5, P = 1/5*3/5 = 3/25

second selection: a blue ball from A and one red ball from B, the probability is (remember that now we have one ball less in each urn):

Pa = 4/4, Pb = 2/4, P = 1*2/4 = 1/2

for the third selection we have that we again need to take a blue ball from A and a red ball from B, here the probability is:

Pa = 3/3, Pb = 1/3, P = 1*1/3 = 1/3

the total probability will be the product of the 3 selections

Pt = (1/3)*(1/2)*(3/25) = 0.02

but we have 3 possible permutations of those selections, in one we took the red ball from A in the first selection, other were we took it in the second, and others where we took it in the third.

So the actual probability is 3*Pt = 3*0.02 = 0.06

What is slope of the line -3y=8x -5?

Answers

When finding the slope of a line you need to get it into the form y=mx+b, m being your slope. So if you divide your entire problem by -3 to isolate your y, you get y=-8/3x+5/3. This means that -8/3 will be your slope.
Final answer:

The slope of the line given by the equation -3y=8x-5 is -8/3. This is obtained by re-arranging the equation into slope-intercept form (y=mx+b), where 'm' is the slope.

Explanation:

The equation given is -3y=8x-5. To find the slope of the line, we first need to convert this equation to the form y=mx+b, which is the slope-intercept form of a line. In this form, the coefficient 'm' represents the slope, and 'b' represents the y-intercept.

First, divide all terms by -3 to transform the equation. Doing so gives us y=-8/3x + 5/3. Thus, the slope of the line is -8/3. This means that for every increase of 1 unit on the x (horizontal) axis, y (on the vertical axis) will decrease by 8/3 units.

Different lines can have different slopes. A slope can be positive, negative, zero, or undefined. In this case, because our slope is -8/3, we have a line that slopes downwards when reading from left to right.

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Order these to Least to greatest -3/4, -2, -1/4, 2

Answers

-2. -3/4, -1/4, 2

-2 = -2

-3/4 = -0.75

-1/4 = -0.25

2 = 2

Question 1 (1 point)
Evaluate if t=-2, x=3 and z=5
4z + 3x -t

Answers

Answer:

27

Step-by-step explanation:

4(5) + 3(3) - 2

20 + 9 - 2

27

what is (4x) to the 1/2 in radical form

Answers

Answer:[tex]2\sqrt{x}[/tex]

Step-by-step explanation:

4x^1/2=[tex]\sqrt[2]{4x}[/tex]=[tex]2\sqrt{x}[/tex]

Answer:

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

Step-by-step explanation:

Fractional exponents always mean roots. The denominator indicates which root it is. Since the denominator here is 2, the root is a square, so:

[tex](4x)^{1/2}=\sqrt{4x} =2\sqrt{x}[/tex]

Thus, the answer is [tex]2\sqrt{x}[/tex].

Hope this helps!

Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form.
Passing through (7,1) with​ x-intercept -5
Write an equation for the line in point-slope form...
WILL GIVE BRAINLIEST!!!

Answers

Answer:

[tex]y-1=\frac{1}{12} (x-7)[/tex]

Step-by-step explanation:

Point-slope form is: [tex]y-y_1=m(x-x_1)[/tex] , where (x_1, y_1) is the point given and m is the slope.

The problem gives us two points, actually: (7, 1) and (-5, 0); the second one is the x-intercept because x-intercepts always have a y-coordinates of 0. We can use these two points to find the slope, which is just change in y over change in x: [tex]\frac{1-0}{7-(-5)}=\frac{1}{12}[/tex]. So, the slope = m = 1/12.

Now, we have our point (7, 1) and the slope 1/12, so just plug these into the above format: [tex]y-1=\frac{1}{12} (x-7)[/tex]

Hope this helps!

Answer:

y - 1 = (1/12)(x - 7)

y = (1/12)(x + 5)

You can use either of these

Step-by-step explanation:

Slope using (-5,0) and (7,1)

m = (0-1)/(-5-7) = -1/-12

m = 1/12

y - 1 = (1/12)(x - 7)

Or,

y - 0 = (1/12)(x - -5)

y = (1/12)(x + 5)

find 3 irrational number 5/7 between 9/11​

Answers

Step-by-step explanation:

5/7 < 9/11

Square both to get

(25/49) < (81/121)

----------------------

Least common multiple of the fraction denominators is 81*121 because they

share no factors.

---------------------

Rewrite the fractions as

((25*121)/(49/121)) < (81*49)/(81*49))

Simplify to get:

3025/5929 < 3969/5929

-------------

pick some numbers between 3025 and 3969

like 3127, 3255, 3659

------------------------

Form the fractions: 3127/5929, 3255/5929, 3659/5929

----------------------

Take the square root of each:

sqrt[3127/5929], sqrt[3255/5929], sqrt[3659/5929]

------------------------

Each of these will be irrational numbers between 5/7 and 9/11

Answer:

Step-by-step explanation:

hello :

5/7 ≅ 0.71                     9/11≅0.82

3 irrational number 5/7 between 9/11​ are :

72/100  ,   73/100  , 74/100

How many distinct real number zeros does f have? F(x)=4x^2-17x+3

Answers

Answer:

2 distinct real number zeros

Step-by-step explanation:

The discriminant b^2 - 4ac

= (-17)^2 - 4*4*3

= 241

So it has 2 distinct roots.

Nabi has 112 inches of border for the board. She uses 8 feet of the border. How much of the border is left?

A. 16 inches

B. 32 inches

C. 40 inches

D. 36 inches​

Answers

Answer:

A

Step-by-step explanation:

the explanation is in the picture

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There are 5 red pens, 4 black pens, and 1 blue pen in a box. What is the probability of pulling out a black pen two times in a row with replacement?
A. 8/10
B. 4/10
C. 16/100
D. 4/25

Answers

Answer:

D. 4/25

Step-by-step explanation:

To find probability, you multiply 4/10 by 4/10. You should get 16/100, which simplifies to 4/25.

D. 4/25 I hope this helped have a great day

ANSWER FAST PLZ !!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

more likely

Step-by-step explanation:

the probability of 0.05 suggests there is a chance of that event happening. A probability of 0 says that such event would never happen. so despite being small the 0.05 chance is higher than the probability of 0

Answer:

More likely

Step-by-step explanation:

.05 > 0 that means no matter how small it's still going to be more likely if bigger than zero

I need help with #11 and #12 how do I do this?

Answers

Answer:

  11. x = 6; y = 6.5

  12. x = 2; y = 4

Step-by-step explanation:

In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.

__

11. 2x +1 = x +7

  x = 6 . . . . . . . subtract (x+1) from both sides

and

  3y -8 = y +5

  2y = 13 . . . . add (8-y) to both sides

  y = 6.5 . . . . divide by the coefficient of y

__

12. x +3 = 3/2x +2

  1 = 1/2x . . . . . subtract (x+2)

  2 = x . . . . . . . multiply by 2

and

  2y -1 = 3y -5

  4 = y . . . . . . add (5 -2y)

Answer:

11. x=6;y=6.5  12. x=2;y=4

Step-by-step explanation:

hope that helped

Ken can walk
40
4040 dogs in
8
88 hours.
How many dogs can Ken walk in
12
1212 hours?

Answers

Answer:

Hey.  I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.

Step-by-step explanation:

So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours.  40/8 = 5.  He walks 5 dogs an hour.  Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour.  5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.

Lawrence father gave him 200 baseball card declines purchases 25 baseball cards to add to his collection of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection

Answers

Answer:

The inequality is [tex]25w+200> 750.[/tex]

Step-by-step explanation:

The question is incomplete so the complete question is attached below:

Now, to write an inequality that can be used to find [tex]w[/tex], the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection.

Let the number of weeks be [tex]w.[/tex]

Number of cards Lawrence purchases each week = 25.

Number of cards Lawrence's father gave him = 200.

Total number of cards Lawrence will have more than in his collection = 750.

Now, to write an inequality that can be used to get the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection:

[tex]25\times w+200>750[/tex]

[tex]25w+200> 750.[/tex]

Therefore, the inequality is [tex]25w+200> 750.[/tex]

WILL GIVE BRAINLIEST!

What is the value of x to the nearest tenth?

Answers

Answer:

C

Step-by-step explanation:

Use Law of Sines.

Find third angle, which is 26 degrees.

x/sin28=8.2/sin26

cross multiply, which becomes

xsin26=8.2sin28

then divide sin26 both sides

x=8.78

Pink panda has $56.75 to spend today. she spends $13.45 on lunch, $16.32 on getting her nails done and $7.65 on cupcakes how much money does she have left

Answers

1) $56.75-$13.45=$43.3

2) $43.4-$16.32=$27.08

3) $27.08-$7.65=$19.43

Answer: she have left $19.43

Activity
Serena is hitting golf balls at the driving range. When she hit a ball viith her 9-Iron, it stopped x yards in front of the 100-yard marker. She knows
she can hit a ball twice that far if she uses her driver. Complete the steps below to see how far Serena can hit a golf ball with her driver. Write an expression in terms of x that represents the distance Serena hit the gofl using her 9 - iron.​

Answers

Final answer:

To find the distance Serena can hit a golf ball with her driver, we can multiply the distance with her 9-iron by 2.

Explanation:

To find the expression that represents the distance Serena hit the golf ball with her 9-iron, we know that the ball stopped x yards in front of the 100-yard marker. So, the distance Serena hit the ball with her 9-iron is 100 - x yards. To find how far Serena can hit a golf ball with her driver, which is twice as far as her 9-iron, we can multiply the distance with her 9-iron by 2. Therefore, the expression that represents the distance Serena can hit the golf ball with her driver is 2(100 - x) yards.

51) Eloise had to solve a system of inequalities that contained an exponential growth function and a linear function with positive slope. She KNOWS that the two equations intersect at least once, and she was asked to state the interval where the linear > exponential. Which could be an answer to her system of inequalities? A) (-1, 3) B) (-1, [infinity]) C) (-[infinity], -1) D) (-[infinity], -1) ∪ (3, [infinity])

Answers

Answer:

Answer is A. (-1, 3)

Refer below.

Step-by-step explanation:

If the line and exponential function intersect only once then the line is tangent to the exponential at that point and therefore is always is below the exponential except at the point of intersection where there are equal.

Xzavion buys 1.2 pounds of strawberries. If each pound of strawberries cost $3.70, how much will he pay for the strawberries?

Answers

Answer:

$4.44

Step-by-step explanation:

$3.70 * 1.2 = $4.44

Answer:

$4.44

Step-by-step explanation:

Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, ? Use 3.14 for
T. Round to the nearest inch.
va
12 inches
24 inches
38 inches
46 inches

Answers

Answer:

The answer to your question is 12 in

Step-by-step explanation:

Data

Circumference = 75 in

radius = ?

π = 3.14

Circumference is defined as the distance around the edge of a circle.

Formula

Circumference = 2 π radius

Solve for radius

Radius = Circumference / 2π

-Substitution

Radius = 75 / 2(3.14)

-Simplification

Radius = 75/6.28

-Result

Radius = 11.94 in ≈ 12 in

Answer:

1)  12in

Step-by-step explanation:

The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.

24 students of the 30 in Anderson’s class are wearing tennis shoes .He says that. 70% are wearing tennis shoes is he correct explain help me

Answers

Answer:

He is not correct

Step-by-step explanation:

70%=70/100= 0.7

70% of 30 =0.7x 30= 21 not 24

         

A rectangle has an area of 228 ft squared and a length that measures 12 ft. Find the perimeter of the rectangle

Answers

Answer:

62 feet

Step-by-step explanation:

Hi there,

Let's start the problem by figuing out the width of the rectangle.

let w = the width of the rectangle.

The formula for the area of a rectangle is A = l*w, so let's plug in what we know.

228 = 12w

Now, let's solve for w, the width, by dividing both sides by 12

w = 19; The width is 19 feet.

Now, we have our length, 12 feet, and our width 19 feet.

So, we should now use the formula for perimiter to find the perimiter of this rectangle. The formula is P = W + W + L + L

Let's plug in the numbers

P = 12 + 12 + 19 + 19

P = 62 feet

Hope this helps! Stay safe!

- Emily

Equivalent to -9y+2x

Answers

Answer:

(-3 x 3y) + 2x

Step-by-step explanation:

In what quadrant would the image of point A (2,-1) be located if it is rotated 135° clockwise around point (1, -3)? Enter the numeric
value of the quadrant

Answers

Answer:

[tex]A' = (1.707,-5.121)[/tex]

The new point belongs to the fourth quadrant.

Step-by-step explanation:

The relative vector is:

[tex]\vec r = (2-1,-1+3)[/tex]

[tex]\vec r = (1, 2)[/tex]

The length of the vector is:

[tex]\|\vec r\| = \sqrt{1^{2}+2^{2}}[/tex]

[tex]\|\vec r\| = \sqrt{5}[/tex]

The angle with respect to the horizontal (+x direction) is:

[tex]\theta = \tan^{-1} \frac{2}{1}[/tex]

[tex]\theta \approx 63.435^{\textdegree}[/tex]

The new angle with respect to the horizontal (+x direction) is:

[tex]\theta' = 63.435^{\textdegree}-135^{\textdegree}[/tex]

[tex]\theta' = -71.565^{\textdegree}[/tex]

The new point is:

[tex]A' = (1 + \sqrt{5}\cdot \cos (-71.565^{\textdegree}),-3 + \sqrt{5}\cdot \sin(-71.565^{\textdegree}))[/tex]

[tex]A' = (1.707,-5.121)[/tex]

The new point belongs to the fourth quadrant.

Answer:

The new point A location is (1.69, -51267)

The quadrant is 4th quadrant

Step-by-step explanation:

Here we have a point rotating about another point, therefore we have;

Let point (1, -3) be = P

Therefore the length of line AP is given by the following relation;

[tex]AP =\sqrt{(2-1)^2+(-1-(-3))^2} = \sqrt{5}[/tex]

With angle

[tex]Actan (\frac{-1 -(-3)}{2-1}) = Actan( 2) = 63^{\circ} \ due \ North \ of \ East[/tex]

Rotating through 135° clockwise gives;

63° - 135° = 72° Due south of east from P

The coordinates is then given as follows;

y coordinates = -3 - sin 72×√5 = -5.1267

The x coordinates will be 1 + cos 72×√5 = 1.69

The coordinate of the new point A location = (1.69, -51267)

Therefore the quadrant remains the 4th quadrant.

Need help please don’t be fake

Answers

We see that Angle C = 99.

Then we see that Angle A + 22 + Angle C = 180

Substitute in the 99

Angle A + 22 + 99 = 180

Angle A = 59

What does 55 represent y=55x+20

Answers

it is the slope its not that hard to figure out

Each of forty-one pet owners was asked, "Does your pet eat more dry food or wet food?" Here are the results. Among the cat owners,6 chose "Dry food" and 8 chose "Wet food". Among the dog owners, 14 chose "Dry food" and 13 chose "Wet food".

Answers

No, pet does not eat more dry food than wet food.

Here's the detailed explanation of the table:

Dog Owners: Among the owners of dogs, 6 prefer to feed their pets wet food, while 11 prefer to feed them dry food.Cat Owners: Among the owners of cats, 12 prefer to feed their pets wet food, which is typically more common for cats due to their need for higher moisture content in their diet, and 15 prefer to feed them dry food.

The numbers in the table are called "frequencies," and they show how many responses fell into each category. The table allows us to quickly see and compare the food preferences of dog and cat owners. For instance, we can observe that:

More cat owners prefer wet food for their pets compared to dog owners (12 versus 6).More dog owners prefer dry food compared to wet food (11 versus 6).Similarly, more cat owners prefer dry food compared to wet food, but the preference is less pronounced (15 versus 12).

This table does not provide the total number of respondents in each category, but since we know that there are 44 pet owners in total, we could infer additional information if needed.

For example, we can calculate the total number of dog owners (6 + 11 = 17) and the total number of cat owners (12 + 15 = 27) from the table.

The completed table is given below.

The complete question is given below:

Daniel deposited $5,000 in his saving account. He left the money in the account
for 25 years and earned 3.5% simple interest. How much interest did her earn?

Answers

Answer:

$4375

Step-by-step explanation:

What you do first is multiple $5,000 by 3.5% to get $175 after that you would then multiple $175 by 25 for each year you are getting $175 when you do all that you get $4375 in interest  

In a certain Algebra 2 class of 28 students, 8 of them play basketball and 14 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball

Answers

Answer:

[tex]P(B \cup b) =\frac{4}{7}[/tex]

Step-by-step explanation:

Total Number of students, the Universal Set [tex]n(\mathcal{E})[/tex]=28

Let the number of those who play basketball =B

Let the number of those who play baseball =n

Number who play neither sport, [tex]n(B\cup b)'[/tex]=12

From Set Theory,

Since we want to determine the probability that a student chosen randomly from the class plays basketball or baseball, we only simply exclude those who play neither sports.

Mathematically,From Set Theory,

[tex]\mathcal{E}=n(B \cup b)+n(B \cup b)'\\28=n(B \cup b)+12\\n(B \cup b)=28-12\\n(B \cup b)=16[/tex]

The Probability that a student chosen randomly from the class plays basketball or baseball

[tex]P(B \cup b)=\frac{n(B \cup b)}{n(\mathcal{E})}\\=\dfrac{16}{28}\\ =\dfrac{4}{7}[/tex]

Answer:

4/7

Step-by-step explanation:

4/7

Find the length of the missing side. (Use the Pythagorean theorem)

Answers

Answer:

20

Step-by-step explanation:

12square + 16 square=400

Square root it = 20

Answer:

Step-by-step explanation:

a^2+b^2=c^2

144+256=?

144+256=400

the square root of 400 is 20

so the missing side is 20

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Everything clear?The people had done it so many times that they only halflistened to the directions: most of them were quiet, wettingtheir lips, not looking around. Then Mr. Summers raised onehand high and said, "Adams." A man disengaged himselffrom the crowd and came forward. "Hi, Steve." Mr.Summers said, and Mr. Adams said, "Hi, Joe." They grinnedat one another humorlessly and nervously. Then Mr. Adamsreached into the black box and took out a folded paper. Heheld it firmly by one corner as he turned and went hastilyback to his place in the crowd, where he stood a little apartA sudden hush fell on the crowd as Mr. Summers clearedhis throat and looked at the list. "All read he calledThe people had done it so many times that they only halflistened to the directions ...Aman disengaged himself from the crowd and cameforward. "Hi, Steve." 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