Question 5 of 8
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter to as x^3. Do
not include "G(x) =" in your answer.
Answers
Answer: g(x) = (x - 1)^3
Step-by-step explanation:
There is a transformation called "horizontal translation"
For an initial function f(x), a horizontal translation of N is written as:
g(x) = f(x - N)
where if N is positive, we have a translation of N units to the right.
If N is negative, we have a translation of N units to the left.
Here, we can see that:
f(x) = x^3, such that when x = 0, f(0) = 0.
And g(x) seems to be a horizontal translation of f(x) (because the graph of g(x) is equidistant to the graph of f(x)), then:
g(x) = (x - N)^3
And we can see that when x = 0, g(0) = 1
Then:
g(0) = (0 - N)^3 = 1
N^3 = 1
N = ∛1 = 1
Then the equation for g(x) is:
g(x) = (x - 1)^3
Related Questions
A trail mix has 1/2 cup of raisins and 2/3 cup of peanuts. Witch ingredient has the great amount?
Answers
Answer:
Peanuts
Step-by-step explanation:
Answer:
peanuts
Step-by-step explanation:
I really need help with my question
Answers
answer :
z=11
y=13
will be ur answers
I need help please it’s due tomorrow
Answers
Answer:
<E(it is obtuse), <C, <D
The angle opposite to the longer side is greater than the angle opposite to the shorter side
^^for the second one use the same logic <C, <B, <A
i'm a little bit confused about this question.
Answers
Answer:
4
Step-by-step explanation:
1 3 4 . 0
thousand hundred ones
AAP4C
Applications of Trigonometry
1. A ladder that is 10 feet long is leaning against a wall at a 71° angle.
a. How far from the wall is the foot of the ladder?
b. How high up the wall does the ladder reach?
Answers
Answer:
cosine 71° = distance from wall / 10
A) distance from wall = cosine (71) *10
distance from wall = 3.2557 feet
B) Height up the wall ^2 = 10^2 - 3.2557^2
Height up the wall ^2 = 100 -10.59958
Height up the wall ^2 = 89.40041751
Height up the wall = 9.45518 feet
Step-by-step explanation:
Hello please help me
Answers
Answer:
A
Step-by-step explanation:
its D option..........
Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.
This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan
Answers
Answer:
The correct answer is B. Financial analysis.
Step-by-step explanation:
Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.
Answer:
B.
Step-by-step explanation:
What year is 7 years after 2003
Answers
Answer: 2010
Step-by-step explanation:
2003+7=2010
Emily and Andy each go to a hardware store to buy wire. The table shows the relationship between the cost and the length of wire.
Emily needs 21 feet of wire. How much will she spend on wire?
Answers
Answer:
630 dollars is the answer
Answer:
15.12
Step-by-step explanation:
you multiply 120 by 3
Find the area of the following rectangle.
length = 12 ft.
width = 8 ft.
Answers
Answer:
96 ft
Step-by-step explanation:
A= bh
A = 12 x 8
A = 96
Answer:
96 ft^2
Step-by-step explanation:
12*8
A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?
Answers
A= lw
We know the area and one of the variables-
518.50= 8.5w
Divide 518.5 by 8.5
518.5/8.5= 61
61 boxes!
A line's graph is shown. Write an equation for the line.
Answers
Answer:
Step-by-step explanation:
the equation for the line is y = 4
erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?
Answers
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime
Help pls! Need by 2 pm est time. Just do number 2 pls
Answers
Answer:
7 feet
Step-by-step explanation:
I hope my answer is correct!
this one anyone can help
Answers
Answer:
Diagram 1:
a = 54°
b = 54°
Diagram 2:
a = 74°
b = 106°
c = 106°
d = 65°
e = 65°
Step-by-step explanation:
Diagram 1:
a = 54° (alternate angles are equal)
b = a (vertically opposite angles are equal)
a = 54°
Therefore,
b = 54°
Diagram 2:
a = 74° (alternate angles are equal)
a + b = 180 (sum of angles on a straight line)
74 + b = 180
Collect like terms
b = 180 – 74
b = 106°
74 + c = 180 (sum of angles on a straight line)
74 + c = 180
Collect like terms
c = 180 – 74
c = 106°
d = 65° (corresponding angles are equal)
e = d (vertically opposite angles are equal)
d = 65°
Therefore,
e = 65°
The first second and fourth terms of a proportion are 6, 18 and 25 respectively. Find
its third term.
Answers
Answer:
The third term is 25/3
Explanation:
According to the given proportion,
→ First term : second term : : third term : fourth
→ 6 : 18 : : third term : 25
→ 6/18 = third term/25
→ 6*25/18 = third term [multiplying both sides by 25]
→ 1*25/3 = third term
→ 25/3 = third term.
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=55°, and VT = 56 feet. Find the length of TU to the nearest tenth of a foot.
Answers
Answer:
97.6
Step-by-step explanation:
Answer:
97.6
Step-by-step explanation:
what are the Best odd to play in betting
Answers
Answer:
ive never played a bet game all i know is you shouldnt give much due to the fact that u may loose
Step-by-step explanation:
Which one, please?!
Quickly!
Answers
Answer:
c) FJ and GH
Step-by-step explanation:
So the answer is choice C) FJ and GH
HELLPPPP PLEASE
I WILLL MARK YOU BRILL
Answers
Answer:
13
Step-by-step explanation:
71-6=65
65/5=13
therefore the answer is 13
5d + 6 = 71
5d = 71 - 6
5d = 65
d = 65/5
d = 13
Which has the most elastic demand?
A)Post Raisin Brand
B) cereal
C) Post Raisin Brand from a Giant grocery store
D) food
E) Breakfast food
Answers
Answer:
C
Step-by-step explanation:
because Post rasinin brand from a giant grocery store
Answer:
C
Step-by-step explanation:
I hope this help
cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216
Answers
Answer: OD) 216
Step-by-step explanation: 6^3 multiple it three times 6x6x6=216
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 6 feet. Approximately how many square
feet of the turf need to be painted for a base circle? Use 3.14 for it and round your answer to the nearest tenth.
O 7.5 square feet
O 9.4 square feet
O 18.9 square feet
O 28.3 square feet
Answers
Answer:
28.3
Step-by-step explanation:
pi r^2 = area of circle
6/2 = radius
3.14(3)^2
28.26 -> 28.3
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answers
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Who has the better biking rate? Josh bikes 24 miles in 20 minutes and Maddie bikes 39 miles in 30 min
Answers
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)
Answers
Answer:
(1, 2)
Step-by-step explanation:
Use the midpoint formula
x1 + x2 / 2 , y1 + y2 / 2
-2 + 4 / 2 , -2 + 6 / 2 =
( 1, 2 )
PLEASE
Find the mean, median, mode, and range of the following data set.
4, 3, 2, 4, 6, 6, 4, 3, 3, 4, 5
Mean:
Median:
Mode:
Range:
Answers
Answer:
Mean: 4
Median: 4
Mode: 4
Range: 4
Hope this helps
mean: 4
median: 4
mode: 4
range: 4
2 3 3 3 4 4 4 4 5 6 6
A rectangle is 24.6 m long and 8.65 m wide what is the area of the retangle
Answers
Answer:
212.79m
Step-by-step explanation:
A=L×W
A=24.6m×8.65m
A=212.79m
1.
Krishna dai bought 40 bulbs for Rs. 800. 10 of them were broken.
He sold all remaining bulbs at Rs. 30 each. Find his profit or loss
percent
Answers
Answer:
He loses 100 Rs. during the process of buying and selling.
Step-by-step explanation:
1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.
2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.
3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.
4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.
( Now there are 2 scenarios in this case )
1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.
2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .
( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )
I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.
I hope this helped have a good day!
Answer:
Profit %= 50%
Step-by-step explanation:
Price for 40 bulbs: Rs.800
Price for 1 bulb each: 800/40= Rs 20
Price for 10 bulbs= 10*20=Rs. 200
This means that Rs. 200 were wasted due to 10 bulbs being broken.
The remaining bulbs; 30 are sold at a price of Rs 30 each.....
In reality, the price of the remaining 30 bulbs: 30*20=600
Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900
Profit= SP-CP; Profit= 900- 600= Rs 300
Profit%= 300*100/600= 50%
Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?
Answers
Answer:
$54
Step-by-step explanation:
300 times 0.06 times 3
0.06 times 3 = 0.18
300 times 0.18 = 54
The simple interest is $54
Answer:
$54
Step-by-step explanation:
A = P(1 + rt)
300(1 + (0.06 × 3)) = 354