What transformations of the graph of (x)=|x| are applied to graph the function g?
Answers
The function g(x) = - |x| + 2 is the result of applying a reflection about the x-axis and a translation 2 units up.
What transformation must be applied to modify the absolute value function?
In this problem we find a resulting expression, that is, the function g(x) = - |x| + 2. This is the result of a sequence of rigid transformations done on the parent absolute value function, that is, the function f(x) = |x|. Rigid transformations are transformations applied on functions such that Euclidean distance is conserved in the entire function.
After a quick inspection, we find that two rigid transformations were used in the following order:
Reflection around the x-axis.Translation 2 units up.Now we proceed prove this procedure:
f(x) = |x|
Step 1
f'(x) = - |x|
Step 2
g(x) = - |x| + 2
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Related Questions
△FGH represents an artist's initial work on a design for a new postage stamp. What must be the values of x, y, and z in order for the artist's stamp to be congruent to △ABC?
Answers
The values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
Given data
The two triangle that has the values are attached:
How to find the value of x, y, and z to make the triangles congruentThe value of x
( 2x + 6 ) mm = 36 mm
2x mm = ( 36 - 6 ) mm
2x mm = 30 mm
x = 30 / 2 mm
x = 15 mm
The value of y
( 6y ) mm = 36 mm
y = 36 / 6 mm
y = 6 mm
The value of z
( 3z + 39 ) mm = 51 mm
3z mm = ( 51 - 39 ) mm
3z mm = 12 mm
z = 12 / 3 mm
z = 4 mm
Therefore, the values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
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complete question
The complete question is attached
6y [tex]\geq[/tex] 30
Answers
Answer:
y ≥ 5
Step-by-step explanation:
[tex]\frac{6y}{6}\ge \frac{30}{6}\\\frac{30}{6} = 5\\y \ge 5[/tex]
Hope this helps.
(−7 + 4.6p) + (11.3p − 6)
Answers
Answer:
15.9p-13
Step-by-step explanation:
Answer:
15.9p-13
Step-by-step explanation:
i had this question and got it right
what's the most specific subset of real numbers that the following number belongs in? 8.34
1. rational
2. integer
3. whole
4. irrational
Answers
Answer:
1. rational
Step-by-step explanation:
8.34 ==> rational since it had a finite number of digits.
8.34 ==> not an integer since it has a decimal point.
8.34 ==> not a whole number since it has a decimal point.
8.34 ==> not irrational since it had a finite number of digits.
Hence, 8.34 is rational.
Use the SOLVE Strategy to solve the problem below.
Wendy has taken two tests with scores of 77 and 80. To get an 82 average, what must her grade be on the third test?
Write and solve an equation to find her third test score. Show your work to explain how you determined her test score.
Rubric :
S - Underline the Question. ( 1 Point )
Answered Question, What is the Problem is asking me to find? ( 2 Points )
O- All Math facts are identified. ( 2 Points )
Unnecessary facts are eliminated. ( 2 Points)
All Necessary Facts are listed: ( 1 Point)
L- Use of correct operations . ( 2 Points )
Representation of the unknown. ( 2 Points)
Explained in a logical and sequential order. ( 2 Points)
V- Make estimation . ( 2 Points )
Number sentence matches plan for L. ( 2 Points)
Computation is correct . ( 2 Points )
E- Answer written in complete sentence. ( 1 Point )
Sentence Matches S. ( 1 Point )
Answer is correct . ( 1 Point )
Estimate was reasonable for the answer. ( 1 Point )
Answers
Answer: wendy should pick S
Step-by-step explanation:
There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.
Answers
There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.
We know that, an exponential distribution is a type of continuous distributions.
This probability distribution times the occurrence of events.
In exponential probability distribution, events happen continuously and independently at a constant average rate.
The continuous random variable, say X is said to have an exponential distribution, if it has the following probability density function:
[tex]f_X(x)=\left \{ {{\lambda e^{-\lambda x~~~x > 0}} \atop {0~~~~~~~x\leq 0}} \right.[/tex]
The exponential distribution is memoryless.
We know that, for exponential the lower limit is 0, but the upper limit is infinity, meaning there is no upper limit.
Therefore, There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.
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What is the sign of
−289 + 311?
Answers
-289+311=22
Answer:
it is positive
Step-by-step explanation:
-289+311=22 which is a positive number
I don’t understand can someone help
Answers
Answer:
I plugged in your equation into Desmos and here are 5 points
Step-by-step explanation:
(-6,7)
(-5,6)
(-4,5)
(-3,6)
(-2,7)
What are the roots of the equation? 3x^2=7x+2 3x 2 =7x+2
Answers
Quadratic equations are equations that has a leading degree of 2. The solution to the given quadratic equation are 1/3 and 2
Solving linear equationQuadratic equation are equation that has a leading degree of 2. Given the quadratic equation as shown:
3x^2=7x+2
Equate to zero to have:
3x² - 7x + 2 = 0
Factorize
3x² - 6x - x +2 = 0
3x(x-2) - 1(x- 2) = 0
Group
(3x-1)(x-2) = 0
3x - 1 = 0 and x - 2 = 0
Determine the values of x
3x = 1 and x = 2
x = 1/3 and 2
Hence the solution to the given quadratic equation are 1/3 and 2
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11 and of 1/4 added to 3 and of 1/2
Answers
Answer:
11 1/4 + 3 1/2
45/4 + 7/2
(45+14)/4
59/4
14 3/4
what is the standard deviation for 0,0,0,1,1,1,2,2,3,5?
Answers
Count, N: 10
Sum, Σx: 15
Mean, μ: 1.5
Variance, σ2: 2.25
Steps
σ2 =
Σ(xi - μ)2
N
=
(0 - 1.5)2 + ... + (5 - 1.5)2
10
=
22.5
10
= 2.25
σ = √2.25
= 1.5
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How much will a person pay for 1.7 pounds of bananas at a price of $1.36 per pound?
Answers
Answer:
A person will pay $2.31 for a 1.7 pound of banana.
Step-by-step explanation:
1.7 pounds of bananas x $1.36 per pound = $2.31
Café 103 is collinear with and halfway between the Metrics School and the
Angles Lab. The Metrics School is located at point (2, 6) on a coordinate
plane, and Angles Lab is at point (7, 2). Find the location of Café 103.
Answers
The location of Café 103 is (4.5, 4)
How to determine the location of Café 103?The given parameters are
Metrics School = (2, 6) on a coordinateAngles Lab = (7, 2) on a coordinateFrom the question, we understand that:
Café 103 is collinear with and halfway between the Metrics School and the Angles Lab.
This means that Café 103 is at the midpoint
So, we have:
Café 103 = 0.5 * (x1 + x2, y1 + y2)
This gives
Café 103 = 0.5 * (2+ 7, 6 + 2)
Evaluate
Café 103 = (4.5, 4)
Hence, the location of Café 103 is (4.5, 4)
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Help I don’t know how to do this
Answers
Answer:
∠1 is 101 ∠4 is 79 and ∠2 is 79
Step-by-step explanation:
This is because ∠1 is a vertical angle of ∠3 so they have the same angle
For ∠4 and ∠2 you would do 101-180 because they are supplementary do they add up to 180
Blinn College charges $166 per credit hour, you plan to take 13 hours per semester, how much will your tuition cost for a full academic year?
Answers
Answer:
$4,316
Step-by-step explanation:
Semester one: $166 per credit times 13 hours = $2,158
Semester two: $166 per credit times 13 hours = $2,158
Cost for semester one plus semester two = $4,316
answer this question
Answers
Work Shown:
f(x) = -x - 6
f(-x) = -(-x)-6
f(-x) = x-6
g(x) = f(-x)
g(x) = x-6
Explanation:
I replaced every x with -x to reflect the point over the y axis.
For example, the point (2,3) reflects to (-2, 3)
Please help!! Will mark brainliest
Answers
Answer:
100°
meron po bang D Wala namn ah
which value is an irrational number? a. 4/19 b. the square root of 200 c. the square root of seven over the square root of seven d. -0.58 repeated
Answers
Answer:
B. √200
Step-by-step explanation:
An irrational number is a number that excludes single-point decimals but includes integers and fractions. A square root is a repeating decimal(Most of the time), therefore, this is an irrational number.
The sum of three consecutive odd integers is 45. Find the va
three.
Answer:
Submit Answer
Answers
Answer:
The three integers are:-17,-15,-13
Answer:
13, 15, 17 (the set)
Step-by-step explanation:
To find the middle number, you just divide 45 by 3 since you have three consecutive digits.
45/3 = 15 = the middle number
13, 15, 17 (+2, and -2 from 15 since has to be odd)
Checking work:
13+15+17 = 45
Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE
Answers
The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;
(-∞, -3]How can the solution set of an inequality be found?A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;
2•x + 3 ≤ -3Solving the above inequality, we have;
2•x + 3 ≤ -3
2•x ≤ -3 - 3 = -6
2•x ≤ -6
Therefore;
x ≤ -6 ÷ 2 = -3
x ≤ -3
Which gives;
-∞ < x ≤ -3-∞ < x ≤ -3 in interval notation is (-∞, -3]
The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;
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In exercises 23 and 24, find the indicated angle measures. (See photo)
Answers
Step-by-step explanation:
Just do the calculations at last by using the value of x
Write 0.8
as a fraction.
thank youuu
Answers
Answer:
8/9
Step-by-step explanation:
The other answer is wrong because the problem is asking for the fraction form of 0.8 repeating, not just 0.8.
When someone says they ran a 5k, what type of measurement are they using? is that a far distance?
Answers
Answer:
1 kilometer is equal to 1000 meters
Step-by-step explanation:
Using the section of the graph shown, which of
these potential roots of the function should you
test first?
f(x) = 2x³-9x² - 6x + 40
Answers
Step-by-step explanation:
STEP1:Equation at the end of step 1
(((2 • (x3)) + 32x2) - 6x) - 40
STEP 2 :
Equation at the end of step2:
((2x3 + 32x2) - 6x) - 40
STEP3:Checking for a perfect cube
3.1 2x3+9x2-6x-40 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3+9x2-6x-40
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6x-40
Group 2: 2x3+9x2
Pull out from each group separately :
Group 1: (3x+20) • (-2)
Group 2: (2x+9) • (x2)
I thing it will help you
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how many solutions are there to the equation below? 5x+48+7x=12(x+4) A) 1 B) infinitely many C) 0
Answers
Answer: Thus answer is "B"
Step-by-step explanation: Because you can move around and combine different numbers to get a different answer.
find the range i really need this
Answers
The range of the graph is (-9,-4) also written as -9≤y≤-4
The y-axis on a graph represents the possible output values, or range. The graph's entire range, from lower to higher numbers, represents the range. All of a function's x-values, or inputs, make up the domain. if both the end not closed point range Chart differs
Different range charts. Column range—Columns are used in the Column Range chart to illustrate the range.
Bar range—Bars are used in the Bar Range chart to illustrate the range.
smooth range-Curved lines rather than straight ones connect the data points in a smooth range chart.
From the graph it is shown as it has closed points on both ends so both the values -9 and -4 are inclusive in the range y axis
So it is written as (-9,-4) and also be written as -9≤y≤-4
Hence the range of the graph is -9≤y≤-4.
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-w + 4(w + 3) = -12
Answers
Answer:
Step-by-step explanation:
-w + 4(w + 3) = -12
Expand: -w + 4w + 12 = -12
3w + 12 = -12
3w = -12-12
3w = -24
w = -8
Please help me with the photo below thanks
Answers
Answer:
A) -12-4-5
B) X^2-X
Step-by-step explanation:
..
..
4. The figure below is a rectangle. What is the value of x?
Hint: opposite sides of a rectangle are congruent
3(x + 4)
5x-9
Answers
Answer:
3(x+4)=5x-9
or,3x+12=5x-9
or,12+9=5x-3x
or,21=2x
orx=21/2
x=10.5
The value of x from the given rectangle is 10.5 units.
The opposite sides of a rectangle are 3(x+4) and 5x-9.
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Now, the opposite sides of a rectangle are congruent
So, 3(x+4) = 5x-9
⇒ 3x+12=5x-9
⇒ 5x-3x=12+9
⇒ 2x=21
⇒ x=10.5 units
Therefore, the value of x from the given rectangle is 10.5 units.
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help me pleaseeeeeeeeee.
Answers
Answer:
y = x + 3
Step-by-step explanation:
The difference between 1 and 4 is 3
The difference between 2 and 5 is 3
The difference between 3 and 6 is 3
The difference between 4 and 7 is 3
So our answer will either be x= y-3 or y=x+3
Since y=x+3 is the only option that matches the table it must be the answer
Hope this helped and have a good day
