What is an example of an absolute value equation?
Answers
The absolute value of a given number is said to be the positive version of that number. For example, the absolute value of -5 is + 5, which can be written as: − I5 | = 5. Other examples of absolute values of numbers: |−9| = 9, |0| = 0, − |−12| = −12, etc.
Absolute Value Equation:
An absolute value function is an algebraic function whose variables lie within the absolute value bar. This function is also called the modulus function, and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. In general, the absolute value function can be expressed as f(x) = a |x - h| + k, where a represents how much the graph stretches vertically, h represents the horizontal shift, and k represents the vertical shift of the graph for f(x) = |x|. represents If the value of 'a' is negative, the chart opens downwards, if positive, the chart opens upwards.
Now that we understand the meaning of the absolute value function, we understand the meaning of the absolute value equation f(x) = a |x - h|. + k and how the values of a, h, and k affect the value of the function.
'a' value determines how the graph of f(x) is stretched vertically.'h' value specifies horizontal displacement'k' value specifies the vertical displacementThe vertex (x) = a |x - h| + k of the absolute expression f is given by (h, k). You can also use the vertices of f(x) = a |x - h| Find + k using the formula (x - h) = 0 . When determining the value of x, substitute that value into the formula to find the value of k.
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Related Questions
Does anybody know what the answer to this question?
Answers
The simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].
What is simplified form of the expression?
If a fraction's top and bottom have only the number one in common, then it is expressed in its simplest form. The top and bottom cannot be divided further and remain whole numbers, in other words. The phrase "lowest terms" is another term for the simplest form.
Consider, the given expression
[tex]\frac{(\frac{1}{x^2}-\frac{2}{y} )}{y-2x^2}[/tex]
We have to find the simplified form of the given expression.
Taking cross multiplication of numerator of the above fraction.
[tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2}[/tex]
Using: [tex]\frac{(\frac{a}{b} )}{c} = \frac{a}{b}*\frac{1}{c}[/tex]
⇒ [tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2} = \frac{y-2x^2}{x^2y} *\frac{1}{y-2x^2} = \frac{1}{x^2y}[/tex]
Hence, the simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].
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F39) if x## is defined as x## = x² - x for all values of x, and A## = ( A - 2 )##, then what is the value of A?
Answers
The value of A in A## = ( A - 2 )## if x## = x² - x is 2 Or 3.
What are coding and decoding?Topics in the reasoning part include coding, decoding, and reasoning. One of the most frequently occurring portions in all of the important competitive exams specifically created for employment procedures and higher education is this one. Because Coding-Decoding and Reasoning problems can be difficult for some applicants to complete, they avoid them and lose some quick and simple marks.
Given, x## is defined as x## = x² - x.
Therefore,
A## = (A - 2)##
= (A - 2)² - (A - 2).
= A² - 4A + 4 - A + 2.
= A² - 5A + 6.
Let, A² - 5A + 6 = 0.
A² - 3A - 2A + 6 = 0.
A(A - 3) - 2 (A - 3) = 0.
(A - 3)(A - 2) = 0.
A = 3 Or A = 2.
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In the diagram below, \overline{MN}
MN
is parallel to \overline{JK}
JK
. If MNMN is 1212 more than LNLN, LK=33LK=33, and JK=55JK=55, find the length of \overline{LN}
LN
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
Answers
The value of the missing length LN of the similar triangles is; LN = 18
How to solve Similar Triangles?Similar triangles are defined as triangles that have the same shape, but their sizes may vary. This means therefore that, if two triangles are similar, then we can say that their corresponding angles are congruent and also their corresponding sides are in equal proportion.
In the given triangle attached, we can say that if we apply the concept of similar triangles, we will get;
LN/LK = MN/JK
We are told that;
MN is 12 more than LN. Thus; MN = 12 + LN
LK = 33
JK = 55
Thus;
LN/33 = (12 + LN)/55
55LN = 33(12 + LN)
55LN = 396 + 33LN
22LN = 396
LN = 396/22
LN = 18
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Find my number, if the product of my number and 3 is 15 more than the sum of my number and 3
Answers
Answer:
9
Step-by-step explanation:
let the number be X
x multiplied by 3 will be equal to 15 + X + 3
3x = 18+X
2x = 18
x = 9
Answer:
9
Step-by-step explanation:
How much does a cat way on the moon
Answers
Answer:
Since weight is directly dependent on the acceleration of gravity, things on the Moon will weigh only 16.6% (≈ 1/6) of their weight on Earth.
Step-by-step explanation:
Being that the moon has a gravitational force of 1.622m/s2, we multiply the object's mass by this quanitity to calculate an object's weight on the moon. So an object or person on the moon would weigh 16.5% its weight on earth. Therefore, a person would be much lighter on the moon.
have a nice day /night\
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The library has 1,500 fiction books and 8,500 non-fiction books. What percentage of the books at the library are fiction books?
Answers
15%
If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%
Solving Systems: Graphing Method
y = 4x+6
2x-3y=1
Answers
Answer:
vjgioio
Step-by-step explanation:
Answer:
Therefore x= -1.9
y= -1.6
the diagram shows 2 mathematically similar vases. vase A has height 20cm and volume 1500^3. vase B has volume 2592cm^3. calculate h, the height of vase b.
Answers
The height of vase b is 34.56 cm.
What is volume?In mathematics, volume is the space taken by an object.
V=pi*r²*h
Here, given that,
vase A has height 20cm =H
and volume 1500^3. =V
And, A & B similar vases.
Again, vase B has volume 2592cm^3 =v
let, h, the height of vase b.
both radius are equal
so, we get, V/pi*H = v/pi*h
i.e. 1500/20=2592/h
so, h= 34.56 cm
Hence, the height of vase b is 34.56 cm.
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Which of these arcs has a measure of 134 degrees?
• FJ
• DF
• EG
• DH
Answers
Answer:
[tex]df \: is \: correct \: answer[/tex]
help ! work needs to be shown on both (both, all three, however you’d like to refer it as)
Answers
Answer:
13= 89%
Step-by-step explanation:
89/100= .89= 89%
Answer:
13. 89%
14. 1/10 to each friend
Step-by-step explanation:
13. 89/100 = 0.89 -> 89%
100%/10 friends = 10% per friend, so 1/10 of the cake goes to each friend.
Fredrick can use decims as 0.1, as 0.1 of the cake goes to each friend.
Because the bisector of the vertex angle of an isosceles triangles the bisector of the base, m<BDA = m<CDA =
Answers
Answer: 90 degrees
Step-by-step explanation:
BD=CD
2(BD)= BC
2
what is the least common denominator 5/8 and 3/4
Answers
Answer:
The least common denominator is 8, you need to multiply the 3 by 2.
Answer:
8
Step-by-step explanation:
Parker could pay 45% of his college tuition with his scholarship. The remaining $10,500 he paid for a with a student loan. What was the cost of Parker's tuition? Show your work.
Answers
Answer:
5,775 for the cost of parking tuition
Step-by-step explanation:
45% = 0.45
0.45(10,500)= 4,725
10,500 - 4,725 = 5,775 for the cost of parking tuition
35 PTS. Don’t explain. y=?
Answers
Answer:
180-25-60=95
Step-by-step explanation:
Becuase 120 + 25 = 145
180-145=35
What is the x-coordinate of the solution to the system shown?
3x - y = 6
3x + y = 34
Answers
Answer:
6[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
In this equation I will do the elimination method.
3x-y=6
3x+y=34
6x=40
Simplify
x=6[tex]\frac{2}{3}[/tex].
Check:
3(6.666...)-y=6
20-y=6
-20 from 6
-y=-14
y=14
20-14=6
6=6
3x(6.666...)+y=34
20+14=34
34=34
3x - y = 6 → y = 3x - 6
3x + y = 34 → y = -3x + 34
Next, we plug it in to become an equation with variables on both sides:
3x - 6 = -3x + 34
→ 6x - 6 = 34
→ 6x = 40
→ x = 6 2/3 OR 6.66666
Given f(x) = 6(1-x), what is the value of f(-5)?
Answers
Explanation:
when you plug -5 in place of x into the equation, you are left with 6(1-(-5)). Since subtracting a negative is the same as adding a positive, we know that 1+5=6 which leave us with 6(6) which is 36.
Hope that helps! :)
Please help me solve this equation. I need it ASAP! I included the question, and options for answers. Each step needs to have its own rule which I also included a picture of.
Answers
Answer:
reciprocal
Step-by-step explanation:
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4. The graph shows a nonlinear function.
4a. Write the equation of a second function that has a constant rate
of change of 0 and passes through (2, 1). What does its graph
look like?
4b. What is the difference in outputs of the two functions at x = 0? Explain.
4c. How many times do the graphs of the functions intersect? Explain.
d. For inputs between 1 and 0.5, which function has greater outputs? Explain.
4d. For inputs between -1 and 0.5, which function has greater outputs? Explain.
Answers
Answer:
A linear function is a special type of function whose graphs are straight lines (as their name suggests). Let’s look at a straight line and find out what this particular shape of graph tells us about the relationship between the input and the output of a linear function.
Step-by-step explanation:
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Complete the equation of the line who’s y intercept is (0,-1) and slope is 4
Answers
Y=4x-1
The equation of a line is:
Y=mx+c
We are told that the slope is 4 which is also gradient, meaning that M=4
Now we are left with:
Y=4x+c
There are two ways to get C:
1. We know that C represents the y-intercept so immediately we can conclude that C=-1
2. You can work it out by substituting the coordinate for the X and Y value:
-1=4(0)+c
-1=C
So in conclusion, the equation of the line is:
Y=4x-1
What is another name for the height of a pyramid?
A. Length
B. Width
C. Altitude
O D. Lateral face
SUBMIT
Answers
Answer:
Altitude
Step-by-step explanation:
Find another name for the height of a prism or a pyramid.
Since we know that the height of a prism or pyramid is the perpendicular distance between the two ends of a prism or pyramid.
We can find the height of the pyramid by dropping an altitude from the top of the pyramid to the base of the pyramid.
Note to moderators:
Please don't delete this answer because I'm just trying to help others.
The height of the pyramid is also called the altitude of the pyramid. Since both of these terms represent the same thing, we can use the two terms interchangeably. The correct option is C.
What is pyramid?A pyramid geometry is defined as a three dimensional object with a polygon as its base and the triangles forms the lateral faces which meet at a point above the base called the apex. The pyramids have different parts and some of these parts have more than one name.
The height of the pyramid indicate the perpendicular distance from the base of the pyramid to the apex of the pyramid. This line segment which is perpendicular to the base and runs from the base to the apex is defined as the altitude of the pyramid.
Based on the shape of the base, the pyramids are of many types like triangular pyramid, square pyramid, etc.
Thus the correct option is C.
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Select all ratios equivalent to 2:14. A3:21b.1.2.c
16:112
Answers
The ratios equivalent to 2:14 are 3:21 and 16:112. Option A &C
What is equivalent ratios?Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.
2:14 = 2/14
Reducing 2/14 to the lowest terms = 1/7
2:14 is equivalent to 1:7
3:21 = 3/21 = 1/7
Reducing 3/21 to the lowest terms = 1/7
3:21 is equivalent to 1:7
1:2 = 1/2
1:2 is not equivalent to 1:7
16:112 = 16/112 = 1/7
Reducing 16/112 to the lowest terms = 1/7
16:112 is equivalent to 1:7
Hence, 2:14, 3:21 and 16:112 are all equivalent ratios
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If -11y = -13, then y = 1.2
If -11y = -13, then y = 24
If -11y = -13, then y = -1.2
If -11y = -13, then y = 0.846154...
I don't know yet
Answers
Answer:
A.
Step-by-step explanation:
A = 1.18, but rounded, is 1.2
Answer:
A) -13.2
Step-by-step explanation:
it's the closest one
Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answers
Answer:
a) y(x) = (x + 2)^2 -2
b) minimum
c) (-2, -2)
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then vertex is minimum
• If a < 0 then vertex is maximum
Given
y = x² + 4x + 2
(a)
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 4x
y = x² + 2(2)x + 4 - 4 + 2
y = (x + 2)² - 2
(b)
Since a = 1 > 0 then vertex is minimum
(c)
(h, k ) = (- 2, - 2 ) ← coordinates of vertex
A square and an equilateral triangle are joined to form the polygon shown what is the sum of the interior angles of the polygon 240 degrees 360 degrees 420 degrees 540 degrees
Answers
Answer:
540°
Step-by-step explanation:
An equilateral triangle has 3 interior angles of 60°
A square has 4 interior angles of 90°.
When the images are joined, two vertices of each figures are joined together, such that these angles will have now a measure of:
60° + 90° = 150°
Then this figure has:
one angle of 60°
two angles of 150°
and two angles of 90°
(the image below illustrates this situation)
The sum of the interior angles is:
S = 60° + 2*150° + 2*90° = 540°
2 Dylan needs 2.5 liters of water for an experiment. He has 1.125 liters.
How much more water does Dylan need?
Show your work.
Dylan needs how many
liters of water.
Answers
So Dylan needs 1.375 liters of water more for his experiment.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
To find out how much more water Dylan needs, we can subtract the amount of water he currently has from the amount of water he needs for the experiment.
2.5 - 1.125 = 1.375 liters
So Dylan needs 1.375 liters of water more.
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im so bad at this help plss
Answers
1. To start off, go ahead and point that coordinate the line needs to pass through with an x value of -2 and a y value of -4.
2. Then, look at your slope: -1/2. The - automatically tells you that your slope is going to be from a higher left to a lower right.
3. The -1/2 in your slope tells you that for every 1 unit drop in y value, move your x along to the right by 2 units.
4. With this rule, apply it to the dot you just drew. For instance, one point would be (0,-5) because x increased two as y decreased by one.
5. You will eventually have a series of dots that you can draw the line through. You can even feel free to erase all the little dots you drew (except -2,-4) if you want the line to look nicer.
You got this! :D
I don't know HOW TO DO THIS
Answers
Answer:
sorry, I forget how to do the other ones and I'm just as confused but for 4. AD is 20 and 5. GJ is 17
Step-by-step explanation:
4. side AD is equal to side CD so therefore its 20.
5. side are equal again so make
4x+5 = 2x+11
-5 -5
4x = 2x+6
-2x -2x
2x = 6
/3 /3
x = 3
2(3)+11
6+11
17
Find the midpoint of A and B has coordinates (2,9) and B has coordinates (7,4)
Answers
Answer:
The midpoint is,
(4.5, 6.5)
Step-by-step explanation:
Here, we want to find the midpoint between the two points
mathematically, we use the midpoint formula here
We have this as;
m = (x2+ x1)/2, (y2+ty1)/2
where (x1,y1) = (2,9)
(x2,y2) = (7,4)
substituting these points, we have
m = (2+ 7)/2, (9 + 4)/2 = 9/2,13/2 = (4.5, 6.5)
enlarge the triangle by scale factor 1.5 using (4,4) as the centre of enlargement
Answers
Answer:
Step-by-step explanation:
The coordinates for the enlargement would be (-5,4) (-5,-2) (-2,-2)
which operation should be completed first to find the value of the expreesion below 12 + 30 / (6 -3) + 1