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.
1. The spinner shown has 6 congruent sections.
6
2
5
3
4
The spinner is spun 120 times. What is a reasonable
prediction for the number of times the spinner will
land on an even number?
Find the measure of each angle indicated.
50°
82
Answer:
48⁰
Step-by-step explanation:
TAKE NOTE: The sum of interior angles of a triangle equals 180.
STEP 1: SET UP YOUR EQUATION
x + 50 + 82 = 180
STEP 2: SOLVE
x + 50 + 82 = 180
x + 132 = 180
x = 48
MATH LOVERS!!! Can u send me a pic of you filling this out plz!!!!
Answers
Located In The Following Attachments
High Hopes
Barry-
Answer:
you would just do 2/3*-6-1= -5
and you would fill in the numbers in the x column and solve
5-1/2*-2=6
and you would replace x with the number in the x column
(ik i already helped you on this lol)
have a great day/night
Find the values or a and b
Answer:
a=33 ( vertically opposite angles)
a+90=b( sum of opposite interior angle is equal exterior angle)
33+90 = b
b=123
can someone please do this for me and tell me how so I can do the other one pleaseeee I don't know what to do
Answer:
P(green) =1/4
P(orange)=1/2
Step-by-step explanation:
I'm assuming this is probability but it\s been a while, so i'm not sure
number one is a square being divided into half and then one half is being divided into quarters. (as shown by the dotted lines and right angle)
so the probablity of landing in green is 1/4, because it is one fourth of the square.
the probability of the orange is 1/2 because it is 1/2 of the square
The same logic would apply to the "circle" i can see in the next problem. 120 degrees is 1/3 of 360, 90 is 1/4, and so on.
Hope that helps.
Hi please help. i’ve been stuck on this for 5 minutes
if 72 is 40% what is 100%?
Answer:
180
Step-by-step explanation:
If 40% = 72, 100% can be found like so:
40% = 72
100% = [tex]\frac{100}{1}[/tex] * [tex]\frac{72}{40}[/tex]
You can reduce 40 and 100 by 20 (or probably more, but I'll use 20)
So now we have:
[tex]\frac{50}{1}[/tex] * [tex]\frac{72}{20}[/tex] = [tex]\frac{3600}{20}[/tex]Divide, and you get 180.
To check, we can find 40% of 180.
(I looked it up)
Hope this helps!
Tell whether the angles are adjacent or vertical. Then find the value of x.
I finished the angles, but need the value of x.
Answer : The angles are vertical angles and the value of x is [tex]25^o[/tex]
Step-by-step explanation :
Adjacent angles : It is defined as the two angles that have the common arm and common vertex.
Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.
And we know that the vertically opposite angles are equal.
In the given image, the angles are vertical angles and vertically opposite angles are equal.
So,
[tex](4x-25)^o=75^o[/tex]
[tex]4x-25^o=75^o[/tex]
[tex]4x=75^o+25^o[/tex]
[tex]4x=100^o[/tex]
[tex]x=\frac{100^o}{4}[/tex]
[tex]x=25^o[/tex]
Therefore, the angles are vertical angles and the value of x is [tex]25^o[/tex]
I need answers too these two questions pls
PLEASE HELP!
answer correctly!!
what is the range of the function f(x) = 3/4 |x| - 3
Answer:
all real numbers greater than or equal to -3
Step-by-step explanation:
Range: output values of a function (y-values)
Given function:
[tex]f(x)=\dfrac{3}{4}|x|-3[/tex]
This is an absolute value function so |x| ≥ 0
Therefore, as |x| ≥ 0:
[tex]\implies \dfrac{3}{4}|x|\geq 0[/tex]
[tex]\implies \dfrac{3}{4}|x|-3\geq -3[/tex]
So the range of the given function is [-3, ∞):
all real numbers greater than or equal to -3
so i’m trying to figure out the slope of the line shown on the coordinate plane
Answer:
2
Step-by-step explanation:
pick two points that the line crosses through and write down the coordinates
eg. (3,3) and (2,1)
change in y/change in x
3-1/3-2
2/1
2
hope that helps :)
Answer:
2
Step-by-step explanation:
give answer plzzz fast...
plzzzz it's very important.....
Answer:
-1 + a =0
Step-by-step explanation:
i think hope it right
Answer:
if x = -1 , then the value of a = -15
Step-by-step explanation:
see the attached picture for solution
what is this? answer quickly please
Answer: t= 11.5
Step-by-step explanation: 5 + (-11.5+3) = 3.5
Answer:
T = -3.7
Step-by-step explanation:
We begin with the given equation.
5(t+3)=-3.5
Distribute 5 throughout parentheses.
5t + 15 = -3.5
Move 15 to the other side and switch signs.
5t = -3.5 - 15
Combine like terms.
5t = -18.5
Divide by 5t.
t = -3.7
What is the solution set for the inequality.
t - 10 ≥ 7
A
{18, 19, 20, 21}
B
{17, 3, 14, 25}
C
{17, 20, 30, 44}
D
{8, 11, 15, 17}
Hope you get the right answer
Step-by-step explanation:
Convert 5 hours to minutes.
Answer:
300 min
Step-by-step explanation:
60 times 5 :)
You go for a run on monday you run 2.41Km on tuesday you ran the same distance how far did you ran altogether
Answer: 4.82 km
Step-by-step explanation:
You went for a run on Monday.
You then went on a run on Tuesday as well. On this day you ran 2.41 km and it is said that you ran the same distance on both days which means you ran for 2.41 km on Monday as well.
The total distance you ran is therefore:
= 2.41 + 2.41
= 4.82 km
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many
triangles can you construct using these measurements?
OA 0
OB 1
OC 2
OD. infinitely many
Answer:
OD. Infinitely many.
Step-by-step explanation:
Answer:
OC
Step-by-step explanation:
A gardening company sells clay flower pots and plastic flower pots. There must be at least 2 pots in each shipment, but there cannot be more than 8 in a shipment. Additionally, the shipment must weigh less than 100 lbs. Each shipment container weighs 20 lbs., and there is 1 lb. of packing material. A clay flower pot weighs 15 lbs., whereas a plastic flower pot weighs 7.5 lbs.
(A) Write a system of inequalities that represent the constraints on the number of pots that can be included in one shipment.
The system of inequalities can be obtained from the given information
on the allowable weights and number of pots.
The correct responses:
The system of inequalities that represent the constraint on the number
of pots that can be included in one shipment are;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Methods used to find the system of inequalitiesThe inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8
The inequality that represents weight of each shipment is w < 100 lbs
The weight of each shipment container = 20 lbs
The weight of the packing material = 1 lb
Therefore;
The maximum weight of the flower pots = 100 lbs - 21 lbs = 79 lbsThe weight of each clay flower pot = 15 lbs
The weight of each plastic flower pot = 7.5 lbs
Let "x" represent the number of clay flower pot included in one shipment
and let "y" represent the number of plastic flower pot included in one
shipment, we have;
The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Learn more about inequalities here:
https://brainly.com/question/10868639
We will find the system of inequalities:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
How to write a system of inequalities?
First, we need to define the variables that we will be using, these are:
C = number of clay pots.P = number of plastic pots.From the first restriction, we have that:
2 ≤ P + C ≤ 8
The other restriction says that the weight must be less than 100lbs:
W < 100lbs
Where the weight is:
W = C*15 lb + P*7.5lb + 20lb + 1lb
Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:
C*15 lb + P*7.5lb + 20lb + 1lb < 100lb
We can subtract 21 lb in both sides to get:
C*15 lb + P*7.5lb < 100 lb - 21 lb
C*15 lb + P*7.5lb < 79 lb
So we got our two inequalities, then the system is:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
If you want to learn more about systems of inequalities, you can read:
https://brainly.com/question/9774970
Need help show work I will give brainliest if answer is correct
Answer:
Step-by-step explanation:
surface of the entire object
1) bottom. 8*16= 128 sq inchs
2) triangle sides. 1/2 b*h = 1/2*16 *6 = 48 but there are 2 , the front, and the back. (2*48)=96 sq
3) pitched tops 10*8=80 but there are 2 80*2 = 160 sq
total = 1+2+3
total = 128 + 96 + 160
total surface area = 384 [tex]inchs^{2}[/tex]
Is the relation is a function, explain. {(8, 5), (7, 4), (6, 4), (5, 5)}
Answer:
Yes, it is a function.
Step-by-step explanation:
As long as there are no more than one x-values for each coordinate, then it is considered a function.
ANSWER QUICK HANKS I WILL GIVE BRAINLIEST
Answer:
2 2/9
Step-by-step explanation:
Answer: 2 2/9
Step-by-step explanation:
16/9÷4/5=80/36 simp 2 2/9
need help fast !!!!!
Answer:
G(x) = 18
Step-by-step explanation:
first you add x on both sides (-7+x=11)
then you add 7 on both sides and end up with (x=18)
If a person walks 1/4 miles in 10 minutes, how far will that person walk in one hour?
Answer:
a mile and 2/4
Step-by-step explanation:
after graduating from college Carlos received two different job offers both pay starting salary of 62,000 per year but one job promises a 3720 raise per year while the other guaranteed to 5% raise each year complete the tables below to determine what salary will be after t years round your answers to the nearest dollar salary with 3720 t years 1 5 10 15 20 salary with 5% raise t years 1 5 10 15 20
Answer:
what the funk
make it shorter or something
Step-by-step explanation:
Write the equation of the line with the given slope and y intercept
m = -5 b = -8
Answer:
y = -5x -8
Step-by-step explanation:
The equation is y = mx + b so just plug it all in
y = -5x + (-8)
which is
y = -5x -8
Can anyone help me with these? It's a yes or no question...
Answer:
Yes
Step-by-step explanation:
If you insert the numbers it will turn out something like this:
5+6=11
2+18=20
And those are all true.
I hope this helps :)
Answer:
Yes it is
Step-by-step explanation:
x=1 y= 6
(5 × 1) + 6 = 11
(2×1) +(3×6) =20
In a recent survey, 55% of cellphone owners said they text message, what fraction of cellphone owners is this?
Answer:
11/20
Step-by-step explanation:
[tex]55\% = \frac{55}{100} = \frac{11}{20} [/tex]
please answer my question
Answer:
pppppppppppppointssssss
OK!!! I NEED HELP AGAIN AND ITS HONESTLY SUPER EASY :/ I DONT KNOW WHY IM NOT doing it BY MYSELF BUTTTTT---- GIVING BRAINLIEST, FIVE STARS AND THANKSSS!
Which measurement is most accurate to describe the amount a soup bowl could hold?
4 fl. oz.
16 fl. oz.
3 pints
1 quart
Answer: 16 fl oz
Step-by-step explanation:
Answer:
1 quart sorry if I'm wrong
Step-by-step explanation:
plzzzzz help plz i need this answer
Answer:
Step-by-step explanation:
3x - 4 = x + 4
2x - 4 = 4
2x = 8
x = 4
BC = 4 + 4 = 8
