Question 1 of 10
Which function results after applying the sequence of transformations to
Rx) = x5?
• compress vertically by
• shift left 2 units
• shift down 1 unit
O A. g(x) = }(x-2)5.1
O B. g(x) = + (x + 2,5-1
O C. g(x) = (3x+2)5-1
O D. g(x) = ž (x-1)5-2
HELP PLEASE ❗️❗️❗️❗️
Answers
Answer:
A (g(x) = }(x-2)5.1).
Step-by-step explanation:
The function which results after the sequence of transformations given is B. g(x) = 1/2 (x + 2)⁵ - 1.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given function is,
f(x) = x⁵
When a function is compressed vertically, then new function formed will be of the form, k f(x), where k is the factor that is compressed.
After compress vertically by 1/2,
f(x) changes to 1/2 f(x) = 1/2 x⁵
After the horizontal translation of 2 units to the left,
1/2 f(x) changes to 1/2 f(x + 2) = 1/2 (x + 2)⁵.
After vertical translation of 1 unit to the down,
1/2 f(x + 2) changes to 1/2 f(x + 2) - 1 = 1/2 (x + 2)⁵ - 1
Hence the correct option is B . g(x) = 1/2 (x + 2)⁵ - 1.
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Related Questions
Please help me out with this!
Answers
Answer:
X=9.8
Step-by-step explanation:
Sin=opposite/hypotenuse
Sin33=x/18
X=18sin33=9.8
HELP!!!
Maria, an experienced shipping clerk, can fill a certain order in 14 hours. Jim, a new clerk, needs 17 hours to do the same job. Working together, how long will it take them to fill the order?
Answers
Answer:
i need help with this please help me Explain why the crossbreeding of bison and cattle is both a benefit and hindrance to conservation efforts aimed at protecting bison genetic diversity.
Step-by-step explanation:
Help plz if u can i would really like it
Answers
Answer:
you would subtract thoose numbers
Step-by-step explanation:
The uniform cross section of a cabin storage compartment on a jet plane is a sector of a circle with radius 55cm, and angle Ө c . The container is 96 cm wide. The volume of the container is 0.2178 m3. What is the angle Өc?
Answers
Answer:
I don't recognize this problem, please make sure the input is complete.
Step-by-step explanation:
sry
Which of the following is the correct order of the polynomial 4x^ 2 -6x^ 4 -x+2x^ 5 +1?
Answers
Write and solve an equation to determine the value of x.
Answers
Answer:
x = 12
Step-by-step explanation:
<CED = 180 - (9x-8)
= 180 - 9x +8
= 188 - 9x
Angle sum of triangle is 180
.'. (5x-10) + (50) + (180 - 9x +8) = 180
5x -10 + 50 + 188 -9x = 180
-4x = 180 + 10 - 50 - 188
-4x = -48
4x = 48
x = 12
What is the absolute mean deviation of this data?
1, 2, 3, 3, 4,5, 6, 8
Answers
Answer:
4/1/7 ( 4 and 1 over 7)
Step-by-step explanation:
First add all the numbers
1+2+3+4+5+6+8= 29
Finally you divide the total by counting the numbers which you have add up
29÷7
= 4/1/7 ( 4 and 1 over 7)
Mark me as the brainiest answer
Answer:
Step-by-step explanation:
1. Mean
1 + 2 + 3 + 3 + 4 + 5 + 6 + 8= 32
32/ how many numbers there are
32/ 8 . = 4
Mean = 4
1 2 3 3 4 5 6 8
3 2 1 1 0 1 2 4
3 + 2 + 1 + 1+0 + 1 + 2+ 4 =14
14/how many numbers there are
14/8 = 7/4 or in mixed form 1 3/4
The expression 3(x - 9) is equivalent to....
A. 3(x)+9
B. 3(x)+3(9)
C. 3(x) – 9
D. 3(x) – 3(9)
Answers
Answer:
d
Step-by-step explanation:
3(x - 9)
3×x - 3×9
3(x) - 3(9)
what is the absolute value of 10?
Answers
Answer:
10
Step-by-step explanation:
abolute value= distance from zero 10 is 10 away from 0
Answer:
the answer is |10|
Step-by-step explanation:
absolute value is always positive
Suppose there are three routes from North Point to Boulder Creek, four routes from Boulder Creek to Beaver Dam, four routes from Beaver Dam to Star Lake, and two routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch. Assume each route can pass through a city at most one time.) (a) How many routes from North Point to Star Lake pass through Beaver Dam? To answer this question, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process. Step 1: Choose a route from North Point to Boulder Creek . Step 2: Choose a route from Boulder Creek to Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. There are choices for step 1, choices for step 2, and choices for step 3. Thus, the answer is . (b) How many routes from North Point to Star Lake bypass Beaver Dam?
Answers
Answer:
(a) 36 routes
(b) 6 routes
Step-by-step explanation:
Given
[tex]North\ Point \to Boulder\ Creek = 3[/tex]
[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]
[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]
[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]
Solving (a): From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] through [tex]Beaver\ Dam[/tex]
To do this, we consider the following routes;
[tex]North\ Point \to Boulder\ Creek \to Beaver\ Dam \to Star\ Lake[/tex]
Taking a pair of routes, we have:
[tex]North\ Point \to Boulder\ Creek = 3[/tex]
[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]
[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]
By multiplication route, we have:
[tex]Routes = 3 * 4 * 3[/tex]
[tex]Routes = 36[/tex]
(b) From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] bypass [tex]Beaver\ Dam[/tex]?
To do this, we consider the following routes
[tex]North\ Point \to Boulder\ Creek \to Star\ Lake[/tex]
Taking a pair of routes, we have:
[tex]North\ Point \to Boulder\ Creek = 3[/tex]
[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]
By multiplication rule, we have:
[tex]Routes = 3 * 2[/tex]
[tex]Routes = 6[/tex]
How do I explain to an alien how to graph Graph Y=-2(x+3)^2+1
Answers
Step-by-step explanation: Explanation:
y
−
2
=
3
(
x
−
1
)
3
x
−
y
=
3
−
2
=
1
x
1
3
+
y
−
1
=
1
is the intercept form of the equation.
Now we know the two points on the line as
(
1
3
,
0
)
,
(
0
,
−
1
)
By plotting the two points on a graph sheet and joining them gives the line required.
graph{3x - 1 [-10, 10, -5, 5]}
Hope this helps!!!
Where is the blue dot on the number line? 0 0 - 5 - 5 5 5 ? ?
Answers
The blue dot is at -15 because the line is counting by fives rather than by ones, twos, threes, etc. So, when you count from the left from 0, it goes by -5, -10, -15 which is where the blue dot is. Hope this helps :)
Cómo saco el volumen de un cilindro?:(
Answers
Step-by-step explanation:
La fórmula para hacer este cálculo es muy sencilla, ya que el cilindro es una forma geométrica simple. Se trata de V = hπr2, lo que significa que hallaremos el volumen al tener la altura (h) y el radio (r). Los dos círculos son del mismo tamaño, así que puedes utilizar cualquiera de ellos como base
4321 divided by 24 ?
Answers
But it can be rounded to 180
a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio.
Answers
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
Find the area of this trapezoid:
Answers
Answer:
Pls add the image
Step-by-step explanation:
Find the difference quotient
f(x+h)-f(x)
h
and simplify.
f(x) = -9x + 2
-9h
0-9h+4
Help ASAP no links
Answers
Answer:
-9
Step-by-step explanation:
This is the function of derivative by definition. Which means f(x+h)-f(h)/h=f’(x).
f(x)=-9x+2
f’(x)=-9
During the lunar cycle, the Moon always appears: A. to wax, but not wane. B. to wane, but not wax. C. to wax, then wane. D. to wane while waxing. Please help!
Answers
Answer:
C.to wax then wane
Step-by-step explanation:
Waxing is "Maxing," or growing with light until a full moon is reached. Waning is the opposite, or decreasing after a full moon, and is always illuminated on the left. Then, there is a waxing or waning Gibbous moon, which means more than half of the moon is illuminated.
The surface area of a cylinder is 602.88. If the dimensions of the cylinder are
halved, what is the surface area of the new cylinder?
O A. 301.44
O B. 4823.04
O C. 2411.52
O D. 150.72
Answers
Answer:
you all have to divide by 2
Step-by-step explanation:
602.88÷2= 301.44
What is the place value of the 3 in 4.737?
Answers
It's the hundredths place (not hundreds).
Answer:
The place value of the 3 would be " Hundredths "
Step-by-step explanation:
The 4 would be 1's the 7 by the decimal would be tenths. The 3 would be hundredths, followed by the last 7 being thousandths
A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the first concert, 42% attended the second one, 30% attended the third one, 80% attended at least one of the three concerts, 10% attended the first and second ones, 8% attended the first and third ones, and 7% attended the second and third ones. Find the probability that a randomly selected audient attended all the concerts
Answers
Answer:
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Step-by-step explanation:
From the question we are told that:
Percentage of audience in first concert [tex]P(X)=0.28[/tex]
Percentage of audience in second concert [tex]P(Y)=0.42[/tex]
Percentage of audience in third concert [tex]P(Z)=0.30[/tex]
Audience Percentage at at-least one concert [tex]P(X \cup Y \cup Z)=0.80[/tex]
Percentage of audience at first & second concert [tex]P(X \cap Y)=0.10[/tex]
Percentage of audience in first & third concert [tex]P(X \cap Z)=0.08[/tex]
Percentage of audience in second & third concert [tex]P(Y\cap Z)=0.07[/tex]
Generally the equation for probability of attending all concerts [tex]P(X\cap Y\cap Z)[/tex]is mathematically given by
[tex]P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70[/tex]
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Therefore the probability that a randomly selected audient attended all the concerts
[tex]P(X\cap Y\cap Z)=0.05[/tex]
my lil sis needs help asap
Answers
Answer:
Um... I'm guessing $14? Sorry If I'm wrong....
Step-by-step explanation:
Best of luck!
Have a nice day <3
( Srry I double checked and its acually 14)
Answer:
$14
Step-by-step explanation:
So Paul started off with twenty dollars. After he paid for his hat, he had only six dollars left. If you subtract 20 minus 6 you would get 14. Therefore he paid fourteen dollars for the hat.
name three of the main powers of the executive branch
Answers
The executive branch is headed by the president, whose constitutional responsibilities include serving as commander in chief of the armed forces; negotiating treaties; appointing federal judges (including the members of the Supreme Court), ambassadors, and cabinet officials; and acting as head of state.
This will help you.
They:
-Take care that the laws be faithfully executed
-Serve as commander in chief of the armed forces
-Carries out and enforces laws
The President of the United States is the head of the executive branch. It includes the president, vice president, the Cabinet, executive departments, independent agencies, and other boards, commissions, and committees.
Hope I was able to help. :DDD
Find the difference or type
"impossible"
[3 –8] - [4 -5 -6]
Answers
Answer:
2
Step-by-step explanation:
(3-8)-(4-5-6)
(-5)-(-7)
-5+7
2
Using subtraction, the solution of the given equation is 2.
What is subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
= [3 - 8] - [4 - 5 - 6]
= [-5] - [4 - 11]
= -5 - [-7]
= -5 + 7
= 2
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two angel measures in a triangle are 47 and 43. what type of triangle is it?
Answers
Answer:
Scalene triangle
Step-by-step explanation:
Because 2 angles in a triangle is not equal, so the 3rd angle cannot be equal.
Answer:
Two angle measures in a triangle are 47 and 43 so the remaining angle is 90 .
so it is a right angled triangle.
Step-by-step explanation:
Need help ASAP!!!
Solve for the missing angle.
Answers
Answer:
D 56
Step-by-step explanation:
cos x = 5/9
x = 56°
have a great day
can u plz help me it’s for a test!! PLZ ANSWER 1 &2
Answers
Answer:
Step-by-step explanation:
number one is 10
number two is (c) they have the same median
Answer:
C/B
Step-by-step explanation:
test 1: 90 - 50 = 40
test 2: 100 - 40 = 60
60 - 40 = 20
test 1 is 60 and test 2 is 80
Simplify the following expression.
-20 + (-15)
O A 5
OB. -35
O C.
-5
OD. 35
Reset
Submit
Answers
Answer:
B) -35
Step-by-step explanation:
How old is a tree with circumference of 62.83 cm?
Answers
Step-by-step explanation:
19.9 is the age of the tree.
divide the circumference with 3.142 .
hope this helps you☺️☺️
A 9-foot ladder leans against a building six feet above the ground. At what height would a 15-foot ladder touch the building if both ladder from the same angle with the ground
Answers
Answer:
Similar triangles
H/7 = 15/9
H = 11.7 feet.