Answer:
g(x) = 2|x|: vertical stretch by a factor of 2.
h(x) = ⅓|x|: vertical compression by a factor of ⅓.
w(x) = 4|x|: vertical stretch by a factor of 4.
Step-by-step explanation:
Given the graph of an absolute value parent function, f(x) = |x|:
g(x) = 2|x|Multiplying the parent function by a number, where a > 1 causes a vertical stretch by a factor of a.
Hence, when a > 1, the graph is narrower than the parent function.
In the case of the function, g(x) = 2|x|, the graph represents a vertical stretch by a factor of 2. When a vertical stretch occurs, the y-coordinates will be twice of what the y-coordinates of the parent function. For instance, compare the y-coordinates of f(x) = |x| and g(x) = 2|x| when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In g(x) = 2|x|, when x = 1, y = 2.
h(x) = ⅓|x|Multiplying the parent function by a number, where 0 < a < 1 causes a vertical compression by a factor of a.
Hence, when 0 < a < 1 , the graph is wider than the parent function.
In the case of the function, h(x) = ⅓|x|, the graph represents a vertical compression by a factor of ⅓. When a vertical compression occurs, the y-coordinates will be ⅓ of what the y-coordinates of the parent function.
If you compare the y-coordinates of the parent function, f(x) = |x|, and h(x) = ⅓|x|, when x = 1:
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In h(x) = ⅓|x|: when x = 1, y = ⅓.
w(x) = 4|x|Using the same techniques presented in the previous sections of this post, we could focus on comparing the difference between the y-coordinates of the parent graph, f(x) = |x|, and w(x) when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In w(x) = a|x|, when x = 1, y = 4.
This shows that the graph is vertically stretched by a factor of 4, where the graph appears narrower than the parent function.
Therefore, the function that represents the given graph is w(x) = 4|x|.
Solve for Z:
4 > 5Z + 34
help me
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < − 6
Interval Notation:
( − ∞ , − 6 )
Step-by-step explanation:
Using the slope and the y-intercept, graph the line represented by the following equation. Then identify the figure
showing that graph.
2x-y+4=0
Translate the sentence into an inequality.
A number w increased by 4 is greater than or equal to - 23.
Answer:
w + 4 ≥ -23
Step-by-step explanation:
"a number w": w
"increased by 4": + 4
"is greater than or equal to": ≥
"-23": -23
Put the parts of the equation together:
w + 4 ≥ -23
~
Answer: (x + 4) ≥ -23
Select all of the given points in the coordinate plane that lie on the graph of the linear equation $$.
blank as 9 hundred is 9 thousand
Answer:
x = 10
Step-by-step explanation:
x × 900 = 9000
=> 900x = 9000
=> x = 10
How would you write the quotient with a simplified fraction as a remainder?
Answer:
The answer is B) 851 ÷ 46 = [tex]18 \frac{1}{2}[/tex]
Step-by-step explanation:
851 ÷ 46 = 18.5
[tex]18 \frac{1}{2}[/tex] = 18.5
18.5 = 18.5
Since both are the same result that means that option B is the correct answer.
PLEASE EXPLAIN THE WORK WHEN YOU ANSWER FOR ME PLEASE
solve each equation:
1: |b-6|=1
2:|b+2|=7
Answer:
Step-by-step explanation:
theres 2 possible solutions for each equation and each one is right
or for dummies, just reverse the +/- inside the l x +/- y l. and make 2 different equations the first with a + and the second with a -
1. lb-6l = 1
b - 6 = 1
b = 7
-----------
b + 6 = 1
b = -5
--------------
2. lb+2l=7
b + 2 = 7
b = 5
--------------
b - 2 = 7
b = 9
---------------
The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags?
Answer:
17.5 Ounces
Step-by-step explanation:
14/100=.14 .14x25=3.5 14+3.5=17.5
two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange
cos135° =
A.√2/2
B.-√2/2
C.-1/2
we have cos135° = -√2/2
so B is the correct answer
ok done. Thank to me :>
I actually don’t understand this can someone please help?
Answer:
It's proportional when you have a straight line that goes through the origin, meaning (0,0), meaning x = 0 and y = 0, meaning: when x = 0, then y has to be = 0 too! That's obviously not the case here. You can see that the line hit the y axis way above 0. So this graph is not directly proportional to x.
Step-by-step explanation:
+3 - (+7)
Can someone help pls!?
Answer:
Step-by-step explanation:
+3 - (+ 7) = 3 + (-7) = -4
Both integers have different sign. So, subtract and the result will have the sign of bigger number. Here bigger number is 7 and sign of 7 is (-). So, answer will be (-4)
A butcher makes meatloaf by mixing hamburger which sells for a $1.89/lb and sausage which sells for $2.99/lb how many pounds of each should be used if he makes 30 lb of mix and sell it for $2.33/lb
Answer:
12 and 18
Step-by-step explanation:
please help me in question 31 only please and i’ll mark the correct answer as brainliest i promise
Translate the sentence into an equation four more than six times a number is 11
6x+4=11
(x is "a number")
Select the two values of x that are roots of this equation.
x² + 2x - 4 = 0
O A. x= -1 - 15
B. x= -1+5
C. X=-1-215
D. x = -1+2-15
Answer:B and c
Step-by-step explanation:
there are 364 people in town for a conference. They have to go from the airport to the hotel and travel 12 people in a van. How many vans are needed?
Total number of people = 364
Number of people in 1 van = 12
Number of vans required = ?
Number of vans required = 364 / 12
= 30.33
But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.
=》Answer = option C. 31
______
RainbowSalt2222 ☔
How do you solve for x
3x^2 = -24x
[tex]3x^2 = -24x \\\\\implies 3x^2 +24x =0\\\\\implies x^2 +8x = 0\\\\\implies x(x+8) =0\\\\\implies x =0~~ \text{or}~~ x = -8[/tex]
Step-by-step explanation:
3x² = -24x
Divide through by x
3x = -24
x = -24/3
x = -8
A limousine cost 75,000 new but deprecates at rate of 23% per year what is the value of the limousine after five years
Answer:
$20,300.88
Step-by-step explanation:
First Year : 75,000x(1-23%)
Second Year: 75,000x(1-23%)x(1-23%)
=75,000x(1-23%)^2
Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)
=75,000x(1-23%)^3
x Year : 75,000x(1-23%)^x (Analogical Reasoning)
Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5
23%=0.23 1-23%=1-0.23=0.77
Therefore Fifth Year: 75000x(0.77)^5=$20300.88
find x.
please i need help!!
Step-by-step explanation:
sin45°=x/4√2
=> 1/√2 = x/4√2
=> x= 4√2/√2
=>x= 4.
hope this helps you.
The question is an illustration of right-angled triangles
The value of x is (b) 4
To calculate the value of x, we make use of the following sine ratio
[tex]\sin(45) = \frac{x}{4\sqrt 2}[/tex]
Multiply both sides of the equation by [tex]4\sqrt 2[/tex], to make x the subject of the formula
[tex]x = \sin(45) \times 4\sqrt 2[/tex]
Evaluate sin(45)
[tex]x = \frac{1}{\sqrt 2} \times 4\sqrt 2[/tex]
Cancel out the common factors
[tex]x = 4[/tex]
Hence, the value of x is (b) 4
Read more about right-angled triangles at:
https://brainly.com/question/16195823
The coefficient in the formula above tells us there are:
Question 5 options:
eight Carbon atoms
18 Hydrogen atoms
2 molecules of octane
28 total atoms
Answer: the awser is 2 not 6
Step-by-step explanation:
i need help: solve (4x^(6))^((3)/(2))
Answer:
(4x^{(6)})^{(\frac{(3)}{(2)})}
(4x(6))((2)(3))
Step-by-step explanation:
I think that's the answer
Someone plz help me :(
Answer:
B) 7 - 5x
Step-by-step explanation:
7 - 5x is the difference between the number 7 and the product of 5 and 'x'
Pls Solve
Due today
For a grade
First will be Brainliest!
Mrs. Letting brought 40 cookies to school. Mrs. Letting's class ate 1/2 of the cookies and Mrs. Kim's class ate 1/4 of the cookies. How many cookies are left?
solve pls brainliest
Answer:
$18.15
Step-by-step explanation:
45% of $33 = $14.85
$33 - $14.85 = $18.15
Brandon has 32 stamps. He wants to display the in rows, with the same number of stamps in each row. how many different ways can he display the stamps? explain.
Answer:
You can put the stamps in three rows of 8 since 8 times 3 equal 32
Step-by-step explanation:
Hope it helps
Does anyone get this?
Dilation is the transformation that changes the size of a shape.
4 is a positive number so the shape will increase in size.
So after dilating every side by 4:
0,1
-0.5,0
1,0
We get
0,4
-2,0
4,0
On Tuesday, a restaurant serves iced tea to 24 of its 160 customers. What percent of the customers order iced tea
Answer:
15%
Step-by-step explanation:
24/160 = 0.15
0.15*100 = 15
Denise is buying four birthday cards for $11.16. Sales tax on the four cards is $0.68. Including sales tax, what is the cost of each card?
Answer:
$11.16 - $0.68 = $10.48 - price of four cards without tax
$10.48 : 4 = $2.62 - price of one card without tax
Cheers!
Answer:
the cost of each card including sales tax is 2.79
the cost of each card without sales tax is
11.16-0.68=10.48
10.48÷4=2.62
Step-by-step explanation: