Answer: we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.
Step-by-step explanation:
First, let's define the transformations:
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Horizontal shift.
If we have a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
This will move the graph of f(x) to the right or left a distance of N units.
if N is positive, then the shift is to the left
if N is negative, then the shift is to the right.
Here we have:
f(x) = 6*sin(x - pi/8) + 8
and the transformed function:
g(x) = 6*sin(x - (7/16)*pi) + 1
We can assume that the transformations are a vertical shift of A units, and an horizontal shift of B units, then we can write:
g(x) = f(x + B) + A
g(x) = 6*sin(x + B - pi/8) + (8 + A) = 6*sin(x - (7/16)*pi) + 1
Then we must have that:
(x + B - pi/8) = x - (7/16)*pi
B - pi/8 = -(7/16)*pi
B = -(7/16)*pi + pi/8 = -(7/16)*pi +2*pi/16 = (-7 + 2)*pi/16 = -5*pi/16
And we also must have that:
8 + A = 1
A = 1 - 8 = -7
Then the transformation is:
g(x) = f(x - 5*pi/16) - 7
This means that we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.
The graph of g(x) goes through the point (-4, 1) and is parallel to h(x) = 5x - 2 points
8. Determine the symbolic representation of g(x). Express your answer in
slope intercept form. *
Answer:
[tex]g(x)=5x+21[/tex]
Step-by-step explanation:
The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.
In point-slope form:
[tex]g(x)-1=5(x+4)[/tex]
Rearranging for slope intercept form:
[tex]g(x)-1=5x+20\\g(x)=5x+21[/tex]
HELP!! Shelley creates a logo using two similar icicle triangle shown below what is the length of side s in centimeters
Answer:
s = 12cm
Step-by-step explanation:
Since these are similar triangles, in order to find a missing side, you have to find the constant of proportionality
14/8 = 21/s >> cross multiply
14s = 168 >> divide both sides by 14 to get s alone
s = 12
another way to find the answer......
Step-by-step explanation:
You still have to find the constant of proportionality, it's just going to be a bit faster this way
14/8 = 1.75
21/1.75 = 12
s = 12
Mrs. Barnes washed 2 7 of her laundry. Her son washed 1 4 of it. Who washed most of the laundry? How much of the laundry still needs to be washed? Solve this on paper. Then check your work on Zearn. Who washed most of the laundry?
Answer:
first u gotta take a step then kidnap a kid from brazil and then solve the problem
Step-by-step explanation:
A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Her son washed the most laundry.
The number of laundries that need to be washed is 46.5%.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The number of laundries Mr. Barnes washed = 2/7.
This means,
= 2/7 x 100
= 28.5%
The number of laundries her son washed = 1/4.
This means,
= 1/4 x 100
= 25%
We see that,
Her son washed the most laundry.
The number of laundry needs to be washed.
= 100% - (28.5% + 25%)
= 100% - 53.5%
= 46.5%
Thus,
Her son washed the most laundry.
The number of laundries that need to be washed is 46.5%.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ5
Find the answer in simplest form.
3 1/8 * 1 4/5=
Answer:
31/8*14/5=10*17/20
Step-by-step explanation:
Answer:
225/40 which can simplify to 5 and 5/8
Step-by-step explanation: 3 and 1/8 turns into 25/8, 1 and 4/5 turns into 9/5. Multiply numerator by numerator then denominator by denominator to get 225/40, which simplifies out to 5 and 5/8.
Yo i just copped these for my bird. How they look?
no bully pls ;c
Answer:
they look good lol
Step-by-step explanation:
What is 1/6 to a percent?
Answer:
16.666…%
your welcome
Answer:
16.666%
Step-by-step explanation:
It’s a Pythagoras question.
Given that a = 5.6 and b = 7.1 work out the perimeter of the triangle.
Give your answer rounded to 1dp
Answer:
22
Step-by-step explanation:
c²= a²+b²= (5.6)²+ (7,1)²=9
P=5.6+7.1+9=21,7=22
AnOtHer geometry question.
Answer:
the answer is 8!
Step-by-step explanation:
If Jimmy has 5 apples and Sandra gives him 2 more how much does he have?
Answer:
He has 7
Step-by-step explanation:
5 plus 2 equals 7
Answer:
7 apples
Step-by-step explanation:
5 + 2 = 7
Whats the answer does anyone know
Answer:
I think it's 12.96
Step-by-step explanation:
Answer:
1.8*1.8=3.24
3.24*4= 12.96
If the pattern in the table continues when will sales for DVD players equal sales for mobile phones?
answer choices
never
year 2011
year 2010
year 2012
Answer:
never because they are continually increasing at the same rate without multiplying and dividing
3. A number written in scientific notation is a product of two factors.
One of the factors is a power of 10. Describe the other factor.
Answer:
You can find the product of a number and a power
of 10 by moving the decimal point of the number.
– If the exponent is positive, move the decimal point to
the right.
– If the exponent is negative, move the decimal point to
the left.
• You may need to write zeros to the right or left of
the number in order to move the decimal point.
Step-by-step explanation:
Anybody know the answer to these
The monthly fees for the local pool are $8 per month
and $2 per visit. If Hector pays $34 in pool fees total for
the month, how many times did he visit the pool?
Given:
Monthly fees for the local pool are $8 per month and $2 per visit.
Hector pays $34 in pool fees total for the month.
To find:
The number of times he visit the pool.
Solution:
We have,
Monthly fee of pool = $8
Additional fee = $2 per visit
Let Hector visit x times.
Additional fee for x times = $2x
Total fee = Monthly fee + Additional fee
[tex]34=8+2x[/tex]
[tex]34-8=2x[/tex]
[tex]26=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{26}{2}=x[/tex]
[tex]13=x[/tex]
Therefore, Hector visit the pool 13 times.
Suppose (−7, 3) is reflected across the x-axis, and then the y-axis.
What will be the new coordinates?
the answer is (7,-3) ............
Answer:
(7, –3)
Step-by-step explanation:
did it on edgen
What value of m would make the expression below simplified to 6x
anyone know how to do this help
Answer:
Height if the tree: 13.8 meters
Answer:
Height of the tree: 13.8 meters
1/x-2 +5/x / 5/x - 1/x-2
Can someone help me with this, I don't understand.
A teacher has 396 pieces of candy. If there are 44 students, 6 of whom are boys, if divided evenly, how many pieces of candy will each student get?
Answer:
9 pieces of candy.
Step-by-step explanation:
The information about how many boys there are is irrelevant, so we can just ignore that.
The important information is that the teacher has 396 pieces of candy and that it is split between 44 students equally.
So, to solve, we just do 396 / 44 = 9.
Therefore, each student will get 9 pieces of candy.
I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE
Answer:
The intersection is at (0,1)
Step-by-step explanation:
It took Jude 420 seconds to walk home from school. How many minutes did it take him?
9 minutes
6 minutes
7 minutes
5 minutes
Answer:
7 minutes
Step-by-step explanation:
420/60 = 7 minutes
Answer:
7
Step-by-step explanation:
420/60 which equals 7 mim
Someone i need help the question is 50 points.
Just answer it no explanation.
Answer:
okay buddyn
.............
a car traveled 360 miles in 9 hours, what is the average rate of the car miles per hour?
HELP ME FAST! I NEED TO TURN THIS ASSIGNMENT IN SOON!!!!
What are the solutions of the quadratic equation below? [tex]x^{2}-4x-6=0[/tex]
A. [tex]x=2±\sqrt{2}[/tex]
B. [tex]x=2±\sqrt{10}[/tex]
C.[tex]x=-2±\sqrt{2}[/tex]
D.[tex]x=-2±\sqrt{10}[/tex]
Answer:
b or d
Step-by-step explanation:
plz i want the answer
Answer:
it's answer is E. S = (t² - 2p) / a
Step-by-step explanation:
As
t² = 2p + as
Making s subject then
as = t² - 2p
s =( t² - 2p) / a
Hope it will help :)
Pls tell me where to put what in the picture below
Answer:
M is the gradient of the line and b is the y-intercept or where the line cuts the y-axis and the x is zero at the point
Step-by-step explanation:
10 Sami asked 60 people which sports they liked from rugby, football and cricket. 8 people like all three sports. 17 people like rugby and football. 13 people like football and cricket. 19 people like rugby and cricket. 35 people like football. 27 people like cricket 30 people like rugby. a) How many people liked neither rugby or football or cricket?
Answer:
9 people liked neither rugby or football or cricket.
What is the x intercept of the line below?
Answer:
i think it is -5
Step-by-step explanation:
-5
i need help with this question...
2x + 3 ≤ 13
Answer: x ≤ 5
Step-by-step explanation: