Transformation involves changing the form of the function
The transformation that is not performed is (a) vertical shift
The function is given as:
[tex]\mathbf{y = cot(x)}[/tex]
From the complete question, the transformed function is:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
On y = cot(x); start by translating the function 2 units left.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x +2,y)}[/tex]
So, we have:
[tex]\mathbf{y = cot(x + 2)}[/tex]
Next, stretch the function horizontally by a factor of 1/5
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (\frac 15x,y)}[/tex]
So, we have:
[tex]\mathbf{y=cot[\frac 15(x+2)]}[/tex]
Lastly, stretch the function vertically by a factor of 3
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x,3y)}[/tex]
So, we have:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
From the above transformations, we have:
Horizontal shift Vertical stretch Horizontal stretchHence, the transformation that is not performed is (a) vertical shift
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Answer:
vertical shift
Step-by-step explanation:
edge
Solve.
x−(−2 3/8)=−1/4
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
X= ??
Type the expression that results from the following series of steps
Start with y subtract d, multiply by a, then add c.
Answer:
(y-d) × a + c
Step-by-step explanation:
You start with y:
y
subtract d:
y-d
multiply by a:
(y-d) × a
then add c:
(y-d) × a + c
Hope that helps! :)
Solve for v.
–1 = 4v − 13
v =
Answer:
-1+13=4v
12=4v
v=3
....
.............
what is 2 x 5/8 in fractions i need help
Answer:
5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.
5/8 x 2 = 1.25
in decimal form.
Step-by-step explanation:
The solution of the fraction is,
⇒ 5 / 4
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The fraction is,
⇒ 2 × 5/8
Now, We can simplify as;
The fraction is,
⇒ 2 × 5/8
Multiply as;
⇒ 10 / 8
⇒ 5 / 4
Thus, The solution of the fraction is,
⇒ 5 / 4
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How do you evaluate (x+3)2 ?
Step-by-step explanation:
[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
2 • (x + 3)
Step-by-step explanation:
what is 3.46 divided by .03
Answer:
115.3
Step-by-step explanation:
Answer: 115.3333333333 or 115 1/3
Step-by-step explanation:
You take 3.46 and divide it by .03
and you get 115.3333333333 or 115 1/3
Hope this helps :)
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
========================================================
Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Answer:
DStep-by-step explanation:
Simplify the given equation by dividing all terms by 2:
x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0Roots are:
- 2.5, -2, 2Correct choice is D
Hi I was wondering if someone can help me with the math problem?
Answer: 20:12 for the first one
Step-by-step explanation:
5:3, 20:12,
What is the equation for the line in slope-intercept form?
Enter your answer in the box. I'll give you 100 points
Answer:
y = -4x + 5.
Explanation:
Count rise/run to find the slope, find the y-intercept.
Answer:
y = -4x + 3
Step-by-step explanation:
First, find the slope using two points [(-2, 13), (0, 5)] and the formula [ y2-y1/x2-x1 ].
5-13/0-(-2)
-8/2
-4
Second, find the y-intercept which we know is (0, 5) since we used it in the previous part.
Third, input everything we found.
y = -4x + 5
Best of Luck!
What is median number.
Which statement is true?
−2.4<−2.40
−2.4>−2.40
−2.4≠−2.40
−2.4≤−2.40
Answer: −2.4≤−2.40
Step-by-step explanation:
Tough one. I judge −2.4 ≤−2.40 to be the correct answer. The difference in significant digits only tells us we don't know for certain that they are equal. But 2.4 MAY be equal, or less than 2.40. None of the others options allows for the fact that they may be equal.
find the amount if £1,500 is saved for 3and1/2 years at 10percent per annum
Answer:
To calculate a monthly interest payment based on a per annum interest rate, multiply the principal basis for the loan by the annual interest rate. ...
Divide the annual interest amount by 12 to calculate the amount of your per annum interest payment that is due each month.
Step-by-step explanation:
How to multiply decimal numbers.
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation: Hope it helps!!!!
class extends value undefined is not a constructor or null
What? What do you mean?
What is the mass of 64 mL of a liquid with a
density of 2.7 g/mL?
Answer:
172.8
Step-by-step explanation:
to get density its mass over volume so if you mutiply volume by density you get the mass
a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the perimeter of the base cna sum to no more than 108 in. what is the maximum colume for such a box
The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
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Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.
can you HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give you 50
hope it helps!!!!!!!!!!!!!!!!!!!!!!
For reviewing purposes
Answer:
(25-16)/9=
=9/9=1 because 5^2 is 25 and 3^2 is 9 (5x5)/(3x3)
Please help. Flow chart proof. I'll give brainliest
Answer:
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
4a+24
Step-by-step explanation:
a+6+a+6+a+6+a+6 collect the like terms with a and 6
4a+24
Answer:
4a-24
Step-by-step explanation:
its a square. all sides r equal so add everything or multiply by the number of sides. 4(a-6) or (a-6)+(a-6)+(a-6)+(a-6)
Use the graph to determine which statement describes f(x).
5.
y=f(x)
-5
5
--5
O A. f(x) does not have an inverse function, because its graph fails the
vertical line test.
O B. f(x) does not have an inverse function, because its graph fails the
horizontal line test.
c. f(x) has an inverse function, because its graph passes the
horizontal line test.
Which inequality is best represented by the following number line?
Answer:
A
Step-by-step explanation:
Answer:
solve:
-3x+10<dividing22
-3x< 12
by a negativie flips sign
x>4
So A is correct because the because its an open circle on number line
A kite is flying 79 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 50°. Find the length of the string. Round your answer to the nearest tenth.
Answer:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57
Step-by-step explanation:
A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the experiment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:
Answer:
quantitative manipulation of the independent variable
Find the area of a circle with diameter, d = 2m.
Give your answer in terms of pi
Answer:
A = π m²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here d = 2 , then r = 2 ÷ 2 = 1
A = π × 1² = π × 1 = π m²
I need help on these two PLEASE!!
Answer:
22.
x=35
y=8
23.
x=30
y=50
Step-by-step explanation:
59 divided by 4=? Also, please don't use a fraction just keep it simple like 68R7.
R/r=remainder
Answer:
14 R3
Step-by-step explanation:
the closest multiple of 4 under 59 is 56. 56/4=14 and there is a remainder of 3 between 59 and 56
Answer: 14R3
Step-by-step explanation:
How to do multiplication large numbers.
Answer:
The main reason to know the multiplication table is so you can more easily multiply larger numbers. For example, suppose you want to multiply 53 x 7. Start by stacking these numbers on top of another, aligning the ones place. Draw a line underneath, and then multiply 3 by 7. Because 3 x 7 = 21, write down the ones digit (1) and carry the tens digit (2) to the tens column:
Next, multiply 5 by 7. This time, 5 x 7 = 35. But you also need to add the 2 that you carried over, which makes the result 37. Because 5 and 7 are the last numbers to multiply, you don’t have to carry, so write down the 37 — you find that 53 x 7 = 371:
When multiplying larger numbers, the idea is similar. For example, suppose you want to multiply 53 by 47. Be sure to align the stacked numbers by the ones place. (The first few steps — multiplying by the 7 in 47 — are the same, so pick up the next step.) Now you’re ready to multiply by the 4 in 47. But remember that this 4 is in the tens column, so it really means 40. So to begin, put a 0 directly under the 1 in 371:
This 0 acts as a placeholder so that this row is aligned properly.
When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying by the hundreds digit
What is the completely factored form of ? (2x - 5)(3x 1) (2x 5)(3x - 1) (2x - 1)(3x - 5) (2x 1)(3x 5).
Answer: (3x+1) (2x-5)