Choose the function whose graph is given by:
A. y = COS X + 2
B. y = sin x + 2
C. y = COS X + 1
D. y = cos(x + 1)
Answers
Answer:
Y=COS X+1
Step-by-step explanation:
The function whose graph is given by is y = cos x + 1.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the function y = cos(x) + 1 can be understood by analyzing its two component functions:
cos(x) and 1.
The function cos(x) is a periodic function that oscillates between -1 and 1, with a period of 2π.
The graph of cos(x) is a smooth curve that has its maximum value at x = 0 and its minimum value at x = π (or x = -π).
The function 1 is a constant function that takes on the value of 1 for all values of x.
The graph of 1 is a horizontal line that extends infinitely in both directions along the x-axis.
When we add the two functions together, we get the function:
y = cos(x) + 1.
This function shifts the graph of cos(x) upward by 1 unit, so that it oscillates between 0 and 2, with a maximum value of 2 when cos(x) = 1 and a minimum value of 0 when cos(x) = -1.
The resulting graph of y = cos(x) + 1 is a periodic curve that oscillates above and below the horizontal line y = 1, with a period of 2π.
It has its maximum value of 2 when x = 2nπ (where n is an integer), and its minimum value of 0 when x = (2n + 1)π (where n is an integer). The graph is symmetric about the line y = 1, which is the horizontal asymptote of the function.
Thus,
The function whose graph is given by is y = cos x + 1.
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Related Questions
'na1 18 43 written in expanded form?
A.
B.
C.
D.
4x3
4+4+4
3x3 x3 x3
4 x 4 x 4
Answers
Select the inequality down.
Answers
Answer:
A, x > 1
Step-by-step explanation:
The point starts at 1 and shows that x is greater by pushing forward the number line more to the right. The circle is also hallow which just means greater than or just less than in this case its showing x is greater than 1 .
Which statement is true about whether A and B are
independent events?
A and B are independent events because P(AIB) = P(A).
A and B are independent events because P(AIB) = P(B).
A and B are not independent events because P(AIB)
*P(A).
A and B are not independent events because P(AIB)
PIB)
Answers
Answer:
A and B are independent events because P(AIB) = P(A).
Step-by-step explanation:
got it right on edge
The statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).
What is Bayes' theorem?
The conditional probability of an event depending on the occurrence of another event is equal to the likelihood of the second event given the first event multiplied by the probability of the first event, according to Bayes' Theorem.
Suppose that there are two events A and B. Then suppose the conditional probability is:
P(A|B) = probability of occurrence of A given B has already occurred.
P(B|A) = probability of occurrence of B given A has already occurred.
Then, according to Bayes' theorem, we have:
[tex]\rm P(A|B) = \dfrac{P(B|A)P(A)}{P(B)}[/tex]
(assuming the P(B) is not 0)
For two independent events, the intersection of the two events is equal to the product of the two events. Therefore,
P(A∩B) = P(A)·P(B)
Similarly, using the chain rule, for independent events, we can write,
P(A|B) = P(A)
P(B|A) = P(B)
Hence, the statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).
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what is the answer to 7x - 10y + 12 if x = 6 and y = 3?
Answers
Answer:
=24
Step-by-step explanation:
what is the answer to 7x - 10y + 12 if x = 6 and y = 3?
7x 6 - 10x3 + 12
42 - 30+12
=24
have a good day
Answer:
[tex] \huge{\boxed{\mathfrak{Answer \hookleftarrow}}}[/tex]
→ Equation
[tex]7x - 10y + 12[/tex]
→ Values
[tex]x = 6 \: and \: y = 3[/tex]
→ Substitute the given values of x & y in the equation.
[tex]7x - 10y + 12 \\ = 7(6) - 10(3) + 12 \\ = 42 - 30 + 12 \\ = 12 + 12 \\ = 24[/tex]
find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0
Answers
Given:
P(x) is a 2nd degree polynomial.
[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]
To find:
The polynomial P(x).
Solution:
If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).
We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).
So, the required polynomial is defined as:
[tex]P(x)=a(x-1)(x+3)[/tex] ...(i)
Where, a is a constant.
We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get
[tex]3=a(2-1)(2+3)[/tex]
[tex]3=a(1)(5)[/tex]
[tex]3=5a[/tex]
[tex]\dfrac{3}{5}=a[/tex]
Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get
[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]
Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 51 and 55
Answers
Answer:
percentage of lightbulb replacement requests = 34.15 %
Step-by-step explanation:
According to Empirical Rule
interval %
μ ± σ 55 ± 4 ( 51 ; 59 ) 68.3
As the question is a percentage between 55 and 51
or between 51 and μ - σ by symmetry is 68.3/2
% of lightbulb replacement requests = 34.15 %
Help!!!!!!!!!!!!!!!
If f(x) = -(24 – 32) – x, find f(-2).
Answers
Hope it helps :)
the answer? wowisoososksks
Answers
Answer:
1/6
Hope that this helps!
help me out please ill give you 5 star, brainlist
Answers
Answer:
H
Step-by-step explanation:
you can see that it's increasing by 50 for each line
4*50=200
Solve the following equation for x.
Answers
Answer:
48
Step-by-step explanation:
jhus cross multiply 12*4=48
Answer:
x = 48
Step-by-step explanation:
x/4 = 12
4x/4 = x = 4(12) = 48
Check answer: 48/4 = 12
How do I find the surface area of a composite figure? I've been struggling at this and it's been really hard on me and has also made me very upset. I use a schooling program called acellus and it doesn't really explain this stuff too well.
Answers
An easy way to find the surface area of a composite figure is to divide the composite figure up into smaller shapes whose area it is easier to find. It is best to divide a composite figure up into a figure composed of many triangles and rectangles. Then, one will find the area of each of these smaller figures and add the value up to find the total surface area of the composite figure.
(4x^2+28x+20)/ (x+6)
quotient
remainder
Answers
Answer:
[tex]4x+4-\frac{4}{x+6}[/tex]
Step-by-step explanation:
[tex]\frac{\left(4x^2+28x+20\right)}{\left(x+6\right)}[/tex]
Step 1: Divide
[tex]=4x+\frac{4x+20}{x+6}[/tex]
Step 2: Divide again
[tex]=4x+4+\frac{-4}{x+6}[/tex]
Step 3: Simplify
[tex]=4x+4-\frac{4}{x+6}[/tex]
Therefore, the quotient remainder is [tex]4x+4-\frac{4}{x+6}[/tex]
Whoever sees this first and answers it first get to be marked brainliest and gets 185 points
Answers
aaa THIS IS HELPPING JE A LOT TYYaaaaaAnswer:
Step-by-step explanation:
Answer:
yooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
I need help with this ASAP!!!!
Answers
Answer:
B) 81.96°
Step-by-step explanation:
40.67 - (-41.29)
40.67 + 41.29 = 81.96
If the simple interest earned on $6000 for 9 years is $2,160. Then what is the interest rate?
Answers
Answer:
4 %
Step-by-step explanation:
1 year interest =2160÷9
= £240
Interest rate=240/6000 ×100
=4%
can someone please help
question: An airplane is flying at an elevation of 1500 feet. What is the airplane's angle of elevation from the runway when it is 5000 feet from the runway?
Answers
Answer:
Angle of elevation of the airplane = 17.46 degrees
Step-by-step explanation:
From the picture attached,
An airplane is flying at an altitude of 1500 ft at point A.
Runway starts from point B from which distance of the airplane is 5000 ft.
Now we apply sine rule in the given triangle ABC to measure the angle θ.
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sinθ = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{1500}{5000}[/tex]
[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]
[tex]\theta=17.46[/tex] degrees
5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1
Answers
Answer:
2x + 2y = -2
Step-by-step explanation:
you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions
Which of these are the constant?
4y+1+9x
Answers
Answer:
1 is the constant
Step-by-step explanation:
If oyu answer ill mark you as a brainlest it gives you 70 points and i will follow and answer any questions you have i promise.
Answers
Answer:
C
Step-by-step explanation:
brainliest?
also u lied 70 points?!?!?!
also u better answer my questions
27+90=117
180-117=63
Angle A = 63
A + B = 180
180-63=117
Angle B = 117
B + C = 180
180-117=63
Angle C = 63
What is the area and perimeter?
Answers
Answer:
Perimeter: 26 units
Area: 24 units²
Step-by-step explanation:
12 + 9 + 5 = 26
A = 1/2BH
A = 1/2 12(4)
A = 1/2 48
A = 24
What is the final amount if 672 is decreased by 12% followed by a further 5% decrease?
Give your answer rounded to 2 DP.
Answers
Answer:
561.79
Step-by-step explanation:
672 * (100-12)/100 = 591.36
591.36 * (100-5)/100 = 561.792
help poor mi............
Answers
The chosen topic is not meant for use with this type of problem. Try the examples below.
[tex]cot (3x),x=\frac{2\pi }{3}[/tex]
[tex]cot ( \frac{x}{2}, x=\frac{\pi }{2}[/tex]
[tex]cos (x), x = \frac{x}{2}[/tex]
What is the slope of the line that passes through the points listed in the table?
x | y
4 | 3
7 | 9
A. -2
B. 2
C. 3
D. 6
Answers
Answer:
B. 2
Step-by-step explanation:
(4, 3) (7, 9) M = Slope
M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex] Slope formula
[tex]M=\frac{9-3}{7-4}[/tex] Using the slope formula, plot both x and y intercepts
[tex]M=\frac{6}{3}[/tex] Slope needs to be simplified into a whole number
[tex]M=2[/tex]
4 Students is___% of 20 students.
Answers
Answer:
20%
Step-by-step explanation:
4 / 20 = 0.2 = 20%
Hope this helps :)
Answer:
4 Students is 20% of 20 students.
Step-by-step explanation:
[tex] \frac{4}{20} \times 100[/tex]
= 4 × 5 %
= 20%
The third-degree Taylor polynomial about x = 0 of In(1 - x) is
Answers
Answer:
[tex]\displaystyle P_3(x) = -x - \frac{x^2}{2} - \frac{x^3}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
MacLaurin/Taylor Polynomials
Approximating Transcendental and Elementary functionsMacLaurin Polynomial: [tex]\displaystyle P_n(x) = \frac{f(0)}{0!} + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 + ... + \frac{f^{(n)}(0)}{n!}x^n[/tex]Taylor Polynomial: [tex]\displaystyle P_n(x) = \frac{f(c)}{0!} + \frac{f'(c)}{1!}(x - c) + \frac{f''(c)}{2!}(x - c)^2 + \frac{f'''(c)}{3!}(x - c)^3 + ... + \frac{f^{(n)}(c)}{n!}(x - c)^n[/tex]Step-by-step explanation:
*Note: I will not be showing the work for derivatives as it is relatively straightforward. If you request for me to show that portion, please leave a comment so I can add it. I will also not show work for elementary calculations.
Step 1: Define
Identify
f(x) = ln(1 - x)
Center: x = 0
n = 3
Step 2: Differentiate
[Function] 1st Derivative: [tex]\displaystyle f'(x) = \frac{1}{x - 1}[/tex][Function] 2nd Derivative: [tex]\displaystyle f''(x) = \frac{-1}{(x - 1)^2}[/tex][Function] 3rd Derivative: [tex]\displaystyle f'''(x) = \frac{2}{(x - 1)^3}[/tex]Step 3: Evaluate Functions
Substitute in center x [Function]: [tex]\displaystyle f(0) = ln(1 - 0)[/tex]Simplify: [tex]\displaystyle f(0) = 0[/tex]Substitute in center x [1st Derivative]: [tex]\displaystyle f'(0) = \frac{1}{0 - 1}[/tex]Simplify: [tex]\displaystyle f'(0) = -1[/tex]Substitute in center x [2nd Derivative]: [tex]\displaystyle f''(0) = \frac{-1}{(0 - 1)^2}[/tex]Simplify: [tex]\displaystyle f''(0) = -1[/tex]Substitute in center x [3rd Derivative]: [tex]\displaystyle f'''(0) = \frac{2}{(0 - 1)^3}[/tex]Simplify: [tex]\displaystyle f'''(0) = -2[/tex]Step 4: Write Taylor Polynomial
Substitute in derivative function values [MacLaurin Polynomial]: [tex]\displaystyle P_3(x) = \frac{0}{0!} + \frac{-1}{1!}x + \frac{-1}{2!}x^2 + \frac{-2}{3!}x^3[/tex]Simplify: [tex]\displaystyle P_3(x) = -x - \frac{x^2}{2} - \frac{x^3}{3}[/tex]Topic: AP Calculus BC (Calculus I/II)
Unit: Taylor Polynomials and Approximations
Book: College Calculus 10e
Find all the missing elements:
B
14
15
70°
A
b
с
Answers
Answer:
[tex]B=48.7\\[/tex]
[tex]c=61.3[/tex]
[tex]b=12[/tex]
Step-by-step explanation:
Using sines law for triangles,
[tex]\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70[/tex]
⇒ [tex]\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}[/tex]
⇒ [tex]\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}[/tex]
⇒ [tex]15.9625=\frac{14}{sinC}[/tex]
⇒ [tex]SinC=\frac{14}{15.9625}=0.8771[/tex]
⇒ [tex]C=Sin^{-1}(0.8771)=61.29[/tex]
⇒ [tex]C=61 ~ or ~ 61.30[/tex]
[tex]\frac{b}{Sin B}=15.9625[/tex]
Now sum of angles a Δ is 180°
A+B+C=180°
[tex]70+B+61=180[/tex]
[tex]B=180-131=49~ or ~ 48.7[/tex]
[tex]b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0[/tex]
╔════ ∘◦ ☆ ◦∘ ══════╗
hope it helps..
have a great day!!
╚═════ ∘◦ ❉ ◦∘ ═════╝
x^2 + y^2 =-6x-14-6y
Answers
Answer:
x=−3+√(−y−1)(y+5)
Step-by-step explanation:
thats if your solving for x if not to math w l ay
How did President George W. Bush respond to the terrorist attacks of September 11, 2001?
A. He met with Saddam Hussein.
B. He had Osama bin Laden captured.
C. He ordered an invasion of Afghanistan.
D. He strengthened the government of Iraq.
Answers
you answer is C
so the united states invasion of afghanistan occurred after the September 11 attacks in late 2001, supported by close US allies. The conflict is also known as the US war in Afghanistan. the goal was to dismantle al-Qaeda and deny it a safe base of operations in Afghanistan by removing the Taliban from power.
:)
What is the diameter of the wheel
Answers
Answer:
1.2 ft
Step-by-step explanation:
2*0.6 ft=1.2 ft
Evaluate the expression.
3 + (50- 5^2)