What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of −1? (6 points) a f(x) = −1 cos πx + 2 b f(x) = −1 cos (x − π) + 2 c f(x) = 2 cos (x − π) − 1 d f(x) = 2 cos πx − 1
Answer:
c. f(x) = 2 cos(x − π) − 1
Step-by-step explanation:
The amplitude is the multiplier of the cosine function. The vertical shift is a constant added to the cosine function. The horizontal shift is a value subtracted from x in the argument of the cosine function.
For amplitude 2, vertical shift -1, and horizontal shift π, the function will look like ...
f(x) = 2·cos(x -π) -1
What is the algebraic rule?? And how do you find out what algebraic rule on a graph is (x,y)to (x,y+10)??? I know how to find basic rules according to the degree rotation but I don’t understand what does + 10 mean how am I supposed to find that on a graph based on rotation degrees???
The teacher never taught me please help me
Thank you!
Answer:
(x, y) ⇒ (-x, y)
Step-by-step explanation:
When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.
Here, vertices VWX are in clockwise order. The corresponding vertices V'W'X' are in counterclockwise order. For that to happen, there must be a reflection involved.
The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.
The algebraic rule for these two figures is ...
(x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes
__
Additional comment
No rotation is involved here.
The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This is the algebraic rule.
How do I find the perimeter of a regular triangular pyramid?
Answer:Triangular Pyramid Solved Examples Example 1: Find the surface area of a triangular pyramid with the base area is 28cm.sq., the perimeter is 20cm, slant length is 5cm. Solution: Surface area = [Base area] + ½ × Perimeter × [Slant length] = 28 + ½ × 20 × 5 = 28 + 50 = 78 cm.sq.
Step-by-step explanation:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x + 10 and y = 4x – 10?
Select two options.
y=x2 + 5x + 10
y + 5x = x2 + 10 + 4x - 10
0 = x2-9x 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.
y=x2 + 5x + 10
y + 5x = x2 + 10 + 4x - 10
0 = x2-9x 0 = x2 - 9x + 20
What is the common denominator for 4 3/8 + 5 7/8?
Answer:
The common denominator is 8
Step-by-step explanation:
It depends on what you mean. The denominator is 8 in both of the fractions that is being added together
Solve equation by using the quadratic formula.
2x² - 5x = 7
Answer:
c
Step-by-step explanation:
trust
A class of 30 swim team members took a life saving test 18 of the members had an average of 92 points the remaining members had an average score of 84 points what was the average for the entire swim team
Answer:
88.8
Step-by-step explanation:
100 POINTS TO WHOEVER IS CORRECT!!
SHOW ALL WORK. PLEASE HELP.
ALSO SHOW WHERE YOU CONNECTED THE DOTS
QUESTION -
WHAT IS THE AREA OF THIS IRREGULAR POLYGON
Answer:
25 unit²
Step-by-step explanation:
PLEASE HELP
Log,3 7=x is equivalent to which of the following (choose all correct answers)
Answer:
should be 3^X = 7 and X = log7/log3
Step-by-step explanation:
Answer:
[tex]3^x = 7\\x = \frac{log7}{log3}[/tex]
When are two angles complementary?
Answer:
90 degree's
Step-by-step explanation:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
When are two angles complementary?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Two angles are complementary when they add up to [tex]\tt{90\textdegree}[/tex].
For example:-
Angles whose measures are 60º and 30º are complementary because they add up to 90º.
Now, supplementary angles add up to [tex]\tt{180\textdegree}[/tex].
For example, angles whose measures are 140º and 40º are supplementary because they add up to 180º.
Good luck.
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)) What is 2.1 x 3.2?
the answer is 6.72.
2.1 x 3.2 = 6.72
Answer:
6.72 is the answer
Bonus: The probability that our administrators are athletic is .79. The probability that they are
intelligent is .89. The probability that they are both athletic and intelligent is.83. What is the
probability that if we choose an administrator, randomly, that he/she is not athletic?
Answer:
79
Step-by-step explanation:
In the figure, A ABC is similar to ADEF.
What is mZ1?
B
77
F1
O 103
E
62
O 118°
D
O 139°
O 167
Answer:
need pictures of questions
Step-by-step explanation:
please
Find the area.
2 in
9 in
2 in
11 in
WHOEVER GIVES RIGHT ANSWER I GIVE BRAINLIEST
Answer:
See the photo above
Step-by-step explanation:
Hope this helps and have a nice day
50 POINTS WILL MARK BRAINLIEST
f (x) = 7x + 2. Find the inverse of f(x).
O A. f-1(2)= 4
O B. f-1(r)=Tx-2
O c. f-(t) =%á
O D. f (x) = 2- 7x
Answer:
[tex] \frac{x - 2}{7} [/tex]
Step-by-step explanation:
[tex]f(x) = 7x + 2[/tex]
[tex]let \: \: f(x) = y[/tex]
[tex]7x + 2 = y[/tex]
[tex]7x = y - 2[/tex]
[tex]x = \frac{y - 2}{7} [/tex]
[tex] {f}^{ - 1} (x) = \frac{x - 2}{7} [/tex]
[tex]\large\text{view\:explanation\:for\:more\:details}[/tex]
Calculations ↓Remember , inverse functions do the opposite things in the opposite order.
Here's what happened to x here :
First , it's been multiplied by 7 .Then , 2 has been added to it .We can easily find the inverse of any function by following these steps :
Set the function equal to y as follows :f(x)=7x+2
y=7x+2
2. Now , switch y and x places :
x=7y+2
3. Solve for y .
First , subtract 2 on both sides :
x-2=7y
Divide by 7 on both sides :
[tex]\text{y=$\displaystyle\frac{x-2}{7}$}}[/tex]
We've found the inverse function of f(x)=7x+2.[tex]\tiny\text{hope\:helpful}[/tex]
In a story, a tortoise and a hare take part in a race.
They have to run up and down the same hill.
The distance from the foot to the top of the hill is 996 meters.
The hare takes a nap after rrunning 578 meters.
How much further must the hare run to complete the race?
Give your answer in kilometers and meters.
Answer:
418 meters
Step-by-step explanation:
The total distance is 996 meters, hare completed 578 meters. The question asked how much further hare has to run which indicates that this is a subtraction problem.
Equation to solve :996-578=x
x=418
Hope this helps, let me know if I am wrong. Have a good day:)
About the Snowflakes
Last winter, I was watching the first snow of the year as it began. As I
was watching, I noticed an interesting pattern: The first minute, only
one snowflake fell. During each passing minute, the number of
snowflakes that fell was equal to the total on the ground plus one.
If this pattern continued for the whole snowstorm, how many
snowflakes fell during the 12th minute? During the 24th minute?
To get 100% on this assignment, you must write a variable
expression that represents how many snowflakes would fall during
the nth minute.
Using a geometric sequence, it is found that:
2048 flakes fell during the 12th minute.8,388,608 flakes fell during the 24th minute.What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
On the first minute, one flake fell. On the second minute, two flakes fell. On the third minute, four flakes fell(3 + 1). On the fourth minute, eight flakes fell(1 + 2 + 4 + 1). Hence the first term and the common ratio of the sequence are given by:
[tex]a_1 = 1, q = 2[/tex].
And the amount of flakes that fell in the minute n is:
[tex]a_n = 2^{n-1}[/tex]
In the 12th minute, the amount is given by:
[tex]a_{12} = 2^{12-1} = 2048[/tex]
In the 24th minute, the amount is given by:
[tex]a_{24} = 2^{24-1} = 8388608[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927
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The volume of a box is 0.6m³. Find its volume in cm³
Answer:
60
Step-by-step explanation:
There are 100 centimeters in a meter (centi- is a prefix meaning hundred), so all you have to do is multiply the meters by 100. 0.6 x 100 = 60. The volume is 60 cm^3.
Hope this helped!
A _____ has to be paid in full on the due date.
A credit card has to be paid in full on the due date. The correct option among all the options that are given in the question is the first option. The other choices are incorrect and can be easily neglected. The amount of money that the credit card company bills for a month has to be paid in full within the due date or additional fine would be added to the next bill.
A cable television company has 8000 subscribers in a suburban community. The company offers two premium channels, A and B. If 2350 subscribers receive channel A, 1860 receive channel B, and 5220 do not receive any premium channel, how many subscribers receive both channel A and channel B?
Answer:
The answer is 4,530
Step-by-step explanation:
2550 + 1980 = 4,530
The graph of the Function F(x) is shown below. What is the value of f^-1(1)
Answer: [tex]f^-1(1)=-1[/tex]
Step-by-step explanation:
From the graph given we can derive the function [tex]f(x)[/tex]
[tex]f(x) = .5x + 1.5[/tex]
To solve [tex]f^-1(1)[/tex] we need to find the inverse function of [tex]f(x)[/tex].
Inverse functions are functions that essentially "reverse" the mapping of the domain ([tex]x[/tex]) and range ([tex]y[/tex]) of the parent function.
To find the inverse function [tex]f(x)[/tex] we need to solve for x in terms of y.
[tex]y = .5x + 1.5[/tex]
[tex]y - 1.5 = .5x[/tex]
[tex]\frac{y - 1.5}{.5} = \frac{.5x}{.5}[/tex]
[tex]x=2y-3[/tex]
from this, we can derive that
[tex]f(y)^-1=2y-3[/tex]
this can also be written as a function of x
[tex]f(x)^-1 = 2x-3[/tex]
both functions are identical.
take one of these functions and you can find that
[tex]f^-1(1) = 2(1) - 3[/tex]
[tex]f^-1(1) = -1[/tex]
Write down two different expressions that are equivalent to 5x + 2 – 4y.
Answer:
2 + 5x - 4y
OR
-4y + 5x + 2
Step-by-step explanation:
The order of arrangement doesn't matter, what matters are the signs
A raffle at a local fair has tickets for purchase for $10 each. There are 100 total tickets in the raffle. The tickets are shuffled, then 3 are selected to win a $100 prize. Use the table below to help you calculate the expected value of this raffle.
If the probability of success is 0.03. Then the expected value of the raffle will be 3.
What is binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
The expected value X will be given below.
E(X) = np
A raffle at a local fair has tickets for purchase for $10 each.
There are 100 total tickets in the raffle.
The tickets are shuffled, then 3 are selected to win a $100 prize.
Then the probability of success will be
p = 3/100
p = 0.03
Then the expected value of the raffle will be
n = 100
Then we have
E(X) = np
E(X) = 100 x 0.03
E(X) = 3
Learn more about binomial distribution here:
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Before a renovation, a movie theater had 120 seats. After the renovation, the theater has 162 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.
Answer:
35%
Step-by-step explanation:
Percent increase is (new number - old number) / old number
(162 - 120) / 120 = 42 / 120 = 0.35 = 35%
NEED ANSWERS TO 25 APSPSLANDEBEB PLEASE
Please solve with explanation (high points)
The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°
What is a regular polygon?A regular polygon is one that is two-dimensional and can be created at least three lines together.
Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.
Learn more about polygons are
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what is the reference angle for a 240 degree angle?
Finding π (optional)
You need:
• Six or fewer objects that have a round surface
• Yard or meter stick
• Ruler
• String (must be long enough to go around each of the round surfaces)
Directions:
1. List each object in the chart below.
2. Take your string and measure the distance around the circular object. Write that measurement
in the chart under Circumference.
3. Use your ruler to measure the diameter of the circular object. Write that measurement in the
chart under Diameter.
4. Divide the circumference by the diameter. Write that answer in the chart under Ratio. Was your
answer close to π
The circumference of the ball will be 43.988cm and dividing the circumference by the diameter equals pie.
How to calculate the circumference?The object that's chosen in this scenario is a circular ball. The diameter of the ball is 14cm.
The circumference of the ball will be:
= 2πr
= 2 × 3.142 ×(14/2)
= 2 × 3.142 × 7
= 43.988cm
Dividing the circumference by the diameter will be:
= 43.988cm/14cm
= 3.142
The answer is close to pi.
Learn more about circumference on:
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Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack
Answer:
Clyde has 14 pencils in his backpack
Step-by-step explanation:
Let x be the number of pencils that Clyde has in his backpack.
We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :
[tex]17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14[/tex]
Let he has n pencils
So
[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}+5=17[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}=12[/tex]
[tex]\\ \rm\hookrightarrow 6n=84[/tex]
[tex]\\ \rm\hookrightarrow n=14[/tex]
