Answer:
See Explanation
Step-by-step explanation:
Given
New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]
We can assume the parent function to be:
[tex]y = \cos (x)[/tex]
The new function can be represented as:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]
Where
A = Vertical stretch factor
B = Period
C = Right shift
By comparison:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]
[tex]A = 3[/tex]
[tex]c = \pi[/tex]
[tex]\frac{2\pi}{B} = 10[/tex]
Solve for B
[tex]B = \frac{2\pi}{10}[/tex]
[tex]B = \frac{\pi}{5}[/tex]
Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:
Vertically stretched by [tex]3[/tex]Horizontally compressed by [tex]\frac{\pi}{5}[/tex]Right shifted by [tex]\pi[/tex]what is the order of the numbers from least to greatest?
-4, 9, 6, -8, -9
please help! whats the correct order
Answer:
-9, -8, -4, 6, 9
Step-by-step explanation:
Answer:
-9, -8, -4, 6, 9
Step-by-step explanation:
negatives are less than positives,
You are considering buying organic milk at the grocery store. A gallon of organic milk costs $1.00 more than a regular gallon of milk. Write an equation to represent the additional cost (C) of buying a gallon of organic mik over time (t) where x represents the cost of a gallon of regular milk
Answer:
C= $1t + x
Step-by-step explanation:
So, an organic gallon of milk is 1 dollar more then regular so the equation starts at $1 + x.
But then buying the organic milk over time is t so you add that to the one dollar since it applies to the organic milk. Now the equation is $1t + x.
But now, the expression we wrote is equal to C so, now the equation is C=$1t + x
HELPPP how do i write an exponential function?!
the table is
x: 0 1 2 3
y: 1 7 49 343
Answer:
[tex]7^{x}[/tex] or "7 to the power of x"
Step-by-step explanation:
Ok! So an exponential function is a function with a variable as an exponent.
x y
0 1
1 7
2 49
3 343
An example exponential function is [tex]2^{x}[/tex]
Now! Let's look at what number multiplies by each of our "y" values to get the following "y" value. 7!
Now let's see if we can put 7 to the power of x ([tex]7^{x}[/tex]) to get the rest of our table.
[tex]7^{0}[/tex] = 1
[tex]7^{1}[/tex] = 7
[tex]7^{2}[/tex] = 49
[tex]7^{3}[/tex] = 343
Now, we know our exponential function is [tex]7^{x}[/tex]
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
PLEASE HELP
Lateena solved the equation below. Is her solution correct? Explain why or why not.
Answer:
it isn't correct
[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]
Answer:
her solution isn't correct .
because she had done a slight mistake in her calculation.
i.e.
[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]
Step-by-step explanation:
solution given:
x²-6x-7=0
making it a perfect square
we must make it on the form of (a+b)²or(a-b)²
so
x²-2*3*x+3²-3²-7=0
(x-3)²-9-7=0
(x-3)²-16=0
adding 16 on both aide
(x-3)²=16
doing square root on both side
[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]
x-3=±4
taking positive
x-3=4
adding 3 on both side
x=7
and.
taking negative
x-3=-4
adding 3 on both side
x=-4+3
x=-1
x=-1 or 7
which graph represents the function y=2/3x-2?
What is the measure of ZZYW in rhombus WXYZ?
779
w
Z
O A 38.5
OB 51.5
D103
Answer:
A. 38.5
Step-by-step explanation:
Since the angles <XWZ and <XYZ are congruent, <ZYW is just half of <XYZ, so you would just divide 77 in half to get your answer. It's a rhombus, so it works similarly to a square. If one side is congruent, the other is too.
2x+3=4x(3x-5)
what is the value of x
Answer:
X=11+ √157/12
x= 11-√157/12
Step-by-step explanation:
2x+3=12x^2 -20x
Move all terms to one side.
2x+3−12x2+20x=02x+3−12x ^2+20x=0
Simplify
22x+3−12x^2=0
Use the Quadratic Formula.
a= -12
b= 22
c= 3
A triangle has sides with lengths of 6 meters, 12 meters, and 16 meters. Is it a right triangle?
Formula(a^2 +b^2=c^2)
Answer:
i'd say so
Step-by-step explanation: none of the sides are the same length as another
Take away 8 from 2 times m
Answer:
Take away 8 from 2 times m
2m - 8
If you are Hispanic what is your most recent favorite novela ? And if you aren't what is your favorite movie?
Answer:
Step-by-step explanation:
Coco
My fav movie?
Space Jam 2
Prob since I’ma basketball fan :)))
Can u please help me
7.48 unless you need it rounded up to 7.5
Which is closest to the area of the figure?
A 96 square units
B 86 square units
C 80 square units
D 72 square units
HELP HELP HELP !!
use the chart in 4 for 5 pls ! ( DON'T ANSWER QUESTION 4, IT'S 5 )
Answer: First one is J second is B
Step-by-step explanation:
Write an expression for the operation described below.
the product of 2 and c
Answer:
2c or 2 x c
Step-by-step explanation:
Product means multiplication, they put 2 first then c last.
Hope this helps
~R3V0
HELPPP hurryyy please
Answer:
C) x < 6
Open circle is no line under, closed circle has a line under.
The arrow also goes left so x must be less than 6
I need help lol. Please dont give me a random link to download just the answer please.
Answer:
(p +1) (4p - 5)
Step-by-step explanation:
1.) Look for 2 numbers that subtract and equal to the middle term (-1)
2.) 4 and 5
3.) 4p^2 +4p-5p - 5
4.) Factor out common factors by grouping the equation by two
5.) 4p(p+1) -5(p+1)
6.) group
7.) (4p - 5) (p+1)
is 11 1/3 greater than 34/3
Answer:
Equal
Step-by-step explanation:
The two terms are equal.
When you convert 11 1/3 into an improper fraction, it is 34/3.
Match each system of equations to the inverse of its coefficient to the inverse of its coefficient matrix, A^-1, and the matrix of its solution, X.
Answer: Look st the picture below.
Step-by-step explanation: I got this right on Edmentum.
2x +10
what does this equal
Answer:
x=5
Step-by-step explanation:
2x+10
______
2 2
x=5
Answer:
x = 5
Step-by-step explanation:
Step 1: Get the variable alone
Divide x from both sides.
2x + 10
2 2
Step 2: 10 divided by 2
10 divided by 2 equals 5
Answer: x = 5
Dr. Garica is twice as old as his son. Twenty years ago he was 4 times as old as his son was then. How old are they now?
Answer:
Let's let g = Dr. Garcia's age and s = his son's age.
g = 2s, right?
20 years ago, Dr. Garcia was g - 20 years old. He was also 4(s - 20), 4 times his son's age 7 years ago.
g - 20 = 4(s - 20)
g - 20 = 4s - 80
In the first equation, we have g = 2s. We are going to substitute this g into the second equation.
2s - 20 = 4s - 80
60 = 2s
s = 30
So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.
20 years ago, his son would have been 10 and Mr. Garcia would have been 40. 10 x 4 = 40.
Step-by-step explanation:
Brainliest?
Answer:
Dr. Garcia's age is 60, and his son's age is 30.
Step-by-step explanation:
Let x be Dr. Garcia's age, and y his son's age.
1. Dr. Garcia is twice as old as his son
x = 2 y
2. Twenty years ago, he was 4 times as old as his son was then
x - 20 = 4 (y - 20)
Substitute x in 2 and solve for y:
2 y - 20 = 4 (y - 20)
2 y - 20 = 4 y - 80
- 20 = 2 y - 80
60 = 2 y
y = 30
Put y back into 1:
x = 2 (30)
x = 60
So Dr. Garcia's age is 60, and his son's age is 30.
HELPP URGENT!
16. Guests who rent kayaks at a campground must pay an insurance fee and are charged
for each hour they use the kayak. Last year, the total cost for a guest to rent a kayak for
x hours was modeled by the expression 6 + 8x.
This year, the campground doubled the cost per hour for renting a kayak but kept the
insurance fee the same.
Which expression models the total cost for a guest to rent a kayak for x hours at the
campground this year?
A. 12 + 8x
B. 6 + 16x
C. 6 + 4x
D. 3 + 8x
Answer:
B.
Step-by-step explanation:
I had this question on a test and got it right
The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.
What is the model about?Note that in the question:
Last year = 6 + 8x.
Looking at the equation one can see that the premium is = 6
kayaks is known to be charging at 8
So we have to double the value which is:
8 x 2 = 16
So therefore, the equation will be:
16x + 6
Therefore, The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.
Learn more about expression from
https://brainly.com/question/723406
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In the following triangle, find the values of the angles B and B, which are the
best approximations to the solutions to this ambiguous case?
10
8.2
8.2
)45°
B
BY
A. B = 55° or B = 125°
B. B = 67° or B = 102.2°
C. B = 62.4° or B = 117.6°
D. B = 59.6° or B = 120.40
Answer: option D. B = 59.6° or B' = 120.4°
Step-by-step explanation:
Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by
10/sin(B)=......
and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.
(why the closed? because the question said it is "approximated")
The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.
What is triangle ?Triangle is a three sides two dimensional surface having three angles.
We have,
A triangle in which,
One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.
And the side opposite to angle B is 10.
Now,
Using the law of sine,
i.e.
[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]
So,
According to the given triangle,
We get,
[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]
We get,
[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]
On solving we get,
⇒
[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]
i.e.
[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]
So,
The option C is the correct answer.
Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.
To know more about Triangle click here
https://brainly.com/question/2773823
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Michael left home at 1400 and arrived at his uncle’s home at 1830. What will be the
average speed of his journey if he travelled 108 km?
Step-by-step explanation:
Michael's Journey Time = 4 hours and 30 mins
=
[tex]4.5hours[/tex]
Speed = Distance ÷ Time
Given Distance = 108km
Time = 4.5 hours
Speed =
[tex] \frac{distance}{time} \\ = \frac{108}{4.5} \\ = 24 \frac{km}{h} [/tex]
My bad the answer is
Answer: 24 kilometers per hour
Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.
Three times the difference between a number and six is eighteen.
what is the vertex of this parabola? I WILL GIVE BRAINLIEST!!!
(1, -2)
The vertex is simply the turning point.
solve this question step by step on paper
8.1÷4
Answer:
2.025
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B
help me please ;n; ;D
Answer:
sure ;D its 12.25 :p
Step-by-step explanation:
While making desserts for a bake sale,Paul used 4 scoops of brown sugar as well as 1 1/5 scoops white sugar. How much more brown sugar did Paul use.
Answer:
3 4/5
380%
3.8
plz can i get brainliest
mutiple choice pls help ! ( link = report )
Answer:
24 units2
Step-by-step explanation:
Hope it helps !! :)
Guys pls help me!!!!!
Answer:
Fourth
Step-by-step explanation:
This isn’t high school math by the way.
The circled object is number 4 in the sequence of the object, thus, being the fourth object.