Answers
An absolute value equation is an equation that contains an absolute value expression. An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols.
What are absolute value equations and inequalities?The absolute number of a number a is written as |a|
And represents the distance between a and 0 on a number line.
An absolute value equation is an equation that contains an absolute value expression. The equation IxI = a
Has two solutions x = a and x = -a because both numbers are at the distance a from 0.
To solve an absolute value equation as
x+7|=14
You begin by making it into two separate equations and then solving them separately.
x+7=14
x+7−7=14−7
x=7
or
x+7=−14
x+7−7=−14−7
x=−21
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
The inequality |x|<2 represents the distance between x and 0 that is less than 2 Whereas the inequality |x|>2 represents the distance between x and 0 that is greater than 2.
You can write an absolute value inequality as a compound inequality.
$$\left | x \right |<2\: or
−2<x<2
This holds true for all absolute value inequalities.
|ax+ b| < c, where c>0
=−c < ax+ b < c
|ax+ b|> c, where c>0
=ax+ b <−corax+ b>c
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
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An absolute value equation is an equation that contains an absolute value expression. An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols.
What are absolute value equations and inequalities?The absolute number of a number a is written as |a|
And represents the distance between a and 0 on a number line.
An absolute value equation is an equation that contains an absolute value expression. The equation IxI = a
Has two solutions x = a and x = -a because both numbers are at the distance a from 0.
To solve an absolute value equation as
x+7|=14
You begin by making it into two separate equations and then solving them separately.
x+7=14
x+7−7=14−7
x=7
or
x+7=−14
x+7−7=−14−7
x=−21
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
The inequality |x|<2 represents the distance between x and 0 that is less than 2 Whereas the inequality |x|>2 represents the distance between x and 0 that is greater than 2.
You can write an absolute value inequality as a compound inequality.
[tex]$$\left | x \right | < 2\[/tex]: or
−2<x<2
This holds true for all absolute value inequalities.
[tex]|ax+ b| < c, where c > 0\\=−c < ax+ b < c\\|ax+ b| > c, where c > 0\\=ax+ b < −corax+ b > c[/tex]
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
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Related Questions
What is so yeah can anyone please help me 6(3×-5)=10
Answers
6(3x+5)=10 becomes 18x-30=10
Then add 30 to both sides, 18x-30+30=10+30.
After that simplify it, 18x=40.
Since x should be alone, divide both sides by 18.
x= 20/9 is the answer.
How do you verify that a dilation is a similarity transformation?
Answers
A transformation that alters the size of a figure is called a dilation (similarity transformation). It needs a scale factor of k and a central point. Depending on the value of k, the dilatation is either an enlargement or a decrease. The dilation is an enlargement if |k|>1.
If two figures have the same shape but different sizes, they are said to be comparable. A stiff motion combined with a rescaling constitutes a similarity transformation. In other words, a similarity transformation can change shape without changing location or size.
A dilation is a transformation that yields a different-sized picture with the same general shape as the original. Enlargements are dilations that result in a bigger picture. Reduction is the name for a dilatation that shrinks the picture. The initial figure is stretched or contracted by a dilatation.
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If a bag contains 16 red, 4 yellow, 20 blue, and 8 white balloons, what is the part-to-whole ratio of red balloons to all balloons?
A) 1:3
B) 1:4
C) 1:5
D) 1:6
Answers
Answer:
A
Step-by-step explanation:
There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3
What is 2(−2x+1)−5x+2= -23
Answers
Answer:
Step-by-step explanation:
To solve this equation, you will need to manipulate the equation in order to isolate the variable x on one side of the equation. Here is one way you could solve this equation:
Begin by distributing the 2 on the left side of the equation: 2(-2x+1) = -46 + 2x.
Next, distribute the -5 on the right side of the equation: 2(-2x+1) = -23 - 5x.
Combine like terms on the right side of the equation: 2(-2x+1) = -5x - 23.
Combine like terms on the left side of the equation: -4x + 2 = -5x - 23.
Add 4x to both sides of the equation to isolate the variable on one side: 2 = -x - 23.
Add 23 to both sides of the equation: 25 = -x.
Finally, divide both sides of the equation by -1 to solve for x: x = -25.
Therefore, the solution to the equation is x = -25.
Answer:
x=3
Step-by-step explanation:
2(−2x+1)−5x+2= -23
Distribute
-4x+2-5x+2=-23
Combine like terms
-9x+4=-23
Subtract both sides by 4
-9x=-27
Divide both sides by -9
x=3
Hope this helps :)
Which choices are correct when determining the distance between - 56 and 69?
-)
A)
The distance is 125 units.
B)
distance --56-69
C)
distance - 1-56-691
D)
The distance is -125 units.
E)
distance --1-56 +691
Answers
Answer:
c
Step-by-step explanation:am srry its c
correct answer gets brainlest
Select all of the expressions that could represent 19x50 using
distributive property
1. 19(25x2)
2. 19+25+25
3. (19x25) + (19x25)
4. 19x50
5. 19x25x25
6. (10x50) + (9x50)
Answers
Answer:
1. 19(25x2)
Step-by-step explanation:
19 x 25 = 475
475 x 2 = 950
= 19(50)
19 x 50
(10x50) + (9x50)
number 1 and 4 and 6
A research company desires to know the mean consumption of meat per week among males over age 27. They believe that the meat consumption has a mean of 4.7
pounds, and want to construct a 98 % confidence interval with a maximum error of 0.09 pounds. Assuming a variance of 1 pounds, what is the minimum number of
males over age 27 they must include in their sample? Round your answer up to the next integer.
Answers
Answer:
To construct a 98% confidence interval with a maximum error of 0.09 pounds and assuming a variance of 1 pound, the minimum sample size can be calculated using the formula:
n = (2 * standard error of the mean / margin of error)^2
Plugging in the values, we get:
n = (2 * (1 / sqrt(n)) / 0.09)^2
Solving for n, we get n = 832.6. Rounding up to the next integer, the minimum number of males over age 27 they must include in their sample is 833.
Step-by-step explanation:
Find angle M and angle J of the isosceles trapezoid
Answers
A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation to complete the function table.
Answers
The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.
The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.
When t = 0
V = 3 + 2(0) = 3 liter
When t = 1
V = 3 + 2(1) = 5 liter
When t = 2
V = 3 + 2(2) = 7 liter
When t = 3
V = 3 + 2(3) = 9 liter
When t = 4
V = 3 + 2(4) = 11 liter
When t = 5
V = 3 + 2(5) = 13 liter
Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.
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HELP!! PLZZZZZZZZZZZZZZZZZZZZZZZ!!!
Answers
Answer:
x (greater than or equal to) -53 *The last bubbled option*
Step-by-step explanation:
Determine if the card below represents a reflection over the x-axis or a
reflection over the y-axis
Answers
Answer:
reflected over x axis
Step-by-step explanation:
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Two numbers have a sum of 21 and a difference of 6. What are these two numbers?
Answers
If the sum of 21 and a difference of 6 then the numbers are 27/2 and 15/2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The two numbers be a and b.
Therefore, (a + b) = 21 and (a - b) = 6.
Adding these two equations, The variable 'b' will cancel out and we'll have
2a = 27.
a = 27/2.
And, 27/2 + b = 21.
b = 21 - 27/2.
b = (42 - 27)/2.
b = 15/2.
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HELP!
What is the distance between points (6, -9) and (-3, 4)?
Answers
Answer:
4 or [tex]\sqrt{250}[/tex]
Step-by-step explanation:
I used M a t h w a y. it's really helpful. Good luck.
HELP THIS IS MY LAST PROBLEM
Answers
The percentage markup the store made before selling those speakers
are 136.33%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A store bought a set of speakers for $82.86 and sold them for
$195.82.
So, The amount of profit is $(195.82 - 82.86).
= $112.96.
Now, The markup percentage can be obtained by the concept of the percentage change.
Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,
= (112.96/82.86)×100%.
= 136.33%.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
A) y + 1 = -3 ( x - 7 )
Step-by-step explanation:
I used the Desmos website. Hope this helps.
Answer:
A
Step-by-step explanation:
3x + y = 4
y = -3x + 4
y + 1 = -3(x - 7)
At a certain university, the average attendance at basketball games has been 2,925. This year the attendance for the first 15 games has been 2,515 with a standard deviation of 585. The athletic director claims that the attendance is the same as last year. If what are the critical values for this two-tailed t test
Answers
The absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.
population mean assumed to be 2925
sample mean = 2515
standard deviation of sample = 585.
sample size = 15
t-score is indicated because the standard deviation is taken from the sample rather than from the population.
t-score = (x - m) / s
x is the raw score
m is the raw mean of the population
s = standard deviation of sample/sqrt (sample size) = 585/sqrt(15) = 151.6217 rounded to 4 decimal places.
degrees of freedom = 15 minus 1 = 14.
t-score = (2515 - 2925)/151.6217 = -2.7123 rounded to 4 decimal places.
you need to know the confidence level.
at a 95% confidence level, the two-tailed critical t-score with 14 degrees of freedom = plus or minus 1.7613 rounded to 4 decimal places.
since the absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.
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Help, please
Or else I will send the rock to your house
Answers
Answer:
Hi
The answers is
W=36 ÷ 4
Read the attachment below.
Answers
Answer:
The answer is choice c
Step-by-step explanation:
To win the game, the team must score at least 8 goals. What inequality represents the number of goals, g, the team must score
Answers
So, on solving the provided question, we can say that to form a inequality - x * y > 8
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
here to form a inequality-
let x = goals by each player
y = no. of players
x * y > 8
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What are the 4 quadrants called?
Answers
The 4 quadrants are called as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.
The term quadrant in math is also known as the coordinate grid, cartesian coordinate system, or Cartesian plane, are basically constructed by taking a vertical axis, or the y-axis and setting it against a horizontal axis, or the x-axis and it creates a grid with four quadrants.
According to the cartesian system, here the coordinate plane is divided into four equal parts by the intersection of the x-axis and the y-axis such as the vertical number line.
Here the four quadrants are written as,
Quadrant I that is placed upon the upper right quadrant is the first quadrant, denoted as Quadrant I and the value on the x-axis and the y-axis both have positive numbers.
Next one is Quadrant II which is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the y-axis has positive numbers.
Third one is Quadrant III placed on the bottom left quadrant is the third quadrant, denoted as Quadrant III and the value of both the x-axis and the y-axis have negative numbers.
Final one is Quadrant IV which is placed on the bottom right quadrant is the fourth quadrant, denoted as Quadrant IV and here the value of the x-axis has positive numbers and the y-axis has negative numbers.
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Eric lost 65 dollars from his pocket.
Write a signed number to represent this change.
Answers
Solve for X. The question is what does X equal. This is a grade 7 math question.
Answers
Answer:
Step-by-step explanation:
Multiply both sides by - 21
-21 x x/-21 + 15 = 13 x -21
x + 15 = - 273
x = - 273 - 15
x = - 288
Which best describes the required locus? all points in a plane equidistant from two given points in the plane.
A. two circles with the same radius, one around each point
B. a line on either side of the line through the points, both parallel to the line through the points and equally distant from it
C. the line that is a perpendicular bisector of the segment connecting the two points
D. the line that has the given points as endpoints
Answers
Answer:
C.
Step-by-step explanation:
The line that is a perpendicular bisector of the segment connecting the two points.
Answer:
C. The line that is a perpendicular bisector of the segment connecting the two points
Step-by-step explanation:
I took the test and got it right.
Freedom Middle School is holding a fundraiser. The sixth-graders have raised 63% of their goal amount. The seventh- and eighth-graders have raised 0.61 and 2/3 of their goal amounts, respectively. List the classes in order from least to greatest of their goal amounts.
Answers
Eighth graders: 2/3 (66%)
Sixth graders: 63%
Seventh graders 0.61 (61%)
Evaluate C=2 pi r for r=8
A. C=10 pi
B. C=16 pi
C. C=28 pi
D. C=16
Answers
Answer:
If `r` and `R` and the respective radii of the smaller and the bigger semi-circles then the area of the shaded portion in the given figure is: (FIGURE) `pir^2\ s qdotu n i t s` (b) `piR^2-pir^2\ s qdotu n i t s` (c) `piR^2+pir^2\ s qdotu n i t s` (d) `piR^2\ s qdotu n i t s`
Step-by-step explanation:
Answer:C
Step-by-step explanation:Because I did this
GEOMETRY HELP PLEASE!6
Answers
What is the length of the missing leg? If necessary, round to the nearest tenth.
Answers
The length of the other leg is 65 cm
How to find the length of the other legFrom the question, we have the following parameters that can be used in our computation:
Leg 1 = a
Leg 2 = 72 cm
Hypotenuse = 97 cm
The length of the hypotenuse of the right triangle can then be calculated using
Hypotenuse² = Leg 1² + Leg 2²
Substitute the known values in the above equation, so, we have the following representation
97² = a² + 72²
So, we have
a² = 97² - 72²
Evaluate
a² = 4225
Take the square roots
a = 65
Hence, the other leg is 65 cm
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Jose has $34 to spend at the Texas State Fair. If the entrance ticket costs $12, then how much money does jose have to spend on food and games?
ONE-STEP EQUATIONS APPLICATION II 6TH MATH
WITH EQUATION!
Answers
Answer:
22
Step-by-step explanation:
34-12=22 you just basically subtract 34 and 12 and it gives you 22 but theres the equation too
Jose has 22$ to spend on food and games
5 Chapter 3 Test
X
+
orms/d/e/1FAIpQLSe6KTRWYSZGI024oXrwsAChqJkpGlz8jsBYaiJCTAMB-2RfA/viewform?hr_submission=chki
3. What is the value of the 8 in 0.283? Select ALL that apply. *
0.8
0.08
8 x 1/10
8 x 1/100
eight hundredths
Answers
Answer:
0.08, 8 hundreths, 8 x 1/100
Step-by-step explanation:
The first digit before the decimal is a unit.
The first digit after the decimal point is called a tenth
The second digit after the decimal point is called hundreths
The third digit after the decimal point is called a thousandths
The 8 is the second digit after the decimal point.
Therefore the answer is eight hundreths or represented by the decimal form of 0.08
It is also 8 x 1/100 because if we multiply this we get 0.08
What is the midpoint of 0 and 5?
Answers
The midpoint of 0 and 5 is 2.5.
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.
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