Answers
Using it's concept, it is found that the domain of the function y = tan(x/8) is given by:
All real numbers except [tex]x \neq 4\pi + 8n\pi[/tex], where n is any integer.
What is the domain of a function?It is the set that contains all possible input values for the function.
Tangent of an angle is sine of the angle divided by the cosine of the angle, and the cosine is 0 at:
[tex]\frac{\pi}{2} + n\pi[/tex]
Hence, supposing a composite tangent function [tex]\tan{[f(x)]}[/tex], the domain is given by:
[tex]f(x) \neq \frac{\pi}{2} + n\pi[/tex]
In this problem, we have that [tex]f(x) = \frac{x}{8}[/tex], hence the domain is:
[tex]\frac{x}{8} \neq \frac{\pi}{2} + n\pi[/tex]
[tex]x \neq 4\pi + 8n\pi[/tex]
All real numbers except [tex]x \neq 4\pi + 8n\pi[/tex], where n is any integer.
More can be learned about the domain of a function at https://brainly.com/question/27730656
#SPJ2
Answer:
It's B
Step-by-step explanation:
Related Questions
PLEASE FIND THE ANSWER FAST!!!!!!!!!!
Answers
Answer:
3
Step-by-step explanation:
1/2*base*height
1/2*3*2
=3
Answer:
3
Step-by-step explanation:
Area = 1/2 × Base × Height
Base = 3cm
Height = 2cm
Area = 1/2 × 3 × 2 = 1/2 × 6 = 3cm^2
What exact is perimeter?
Answers
Answer:
2(L*W)
Step-by-step explanation:
Which expressions are equivalent to \dfrac{4^{-3}}{4^{-1}} 4 −1 4 −3 start fraction, 4, start superscript, minus, 3, end superscript, divided by, 4, start superscript, minus, 1, end superscript, end fraction ? Choose 2 answers: Choose 2 answers: (Choice A) A \dfrac{4^1}{4^3} 4 3 4 1 start fraction, 4, start superscript, 1, end superscript, divided by, 4, cubed, end fraction (Choice B) B \dfrac{1}{4^{2}} 4 2 1 start fraction, 1, divided by, 4, squared, end fraction (Choice C) C 4^3\cdot 4^14 3 ⋅4 1 4, cubed, dot, 4, start superscript, 1, end superscript (Choice D) D (4^{-1})^{-3}(4 −1 ) −3
Answers
Answer:
[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}[/tex]
[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}[/tex]
Step-by-step explanation:
Given
[tex]\dfrac{4^{-3}}{4^{-1}}[/tex]
Required
Choose equivalent expressions
Choosing the first answer:
[tex]\dfrac{4^{-3}}{4^{-1}}[/tex]
Split expressions
[tex]4^{-3} * \frac{1}{4^{-1}}[/tex]
Apply laws of indices: [tex](a^{-b} = \frac{1}{a^b})[/tex]
[tex]\frac{1}{4^3} * \frac{1}{4^{-1}}[/tex]
Apply laws of indices: [tex](a^{-b} = \frac{1}{a^b})[/tex]
[tex]\frac{1}{4^3} * \frac{1}{1/4}[/tex]
[tex]\frac{1}{4^3} * \frac{4^1}{1}[/tex]
[tex]\frac{4^1}{4^3}[/tex]
Hence:
[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}[/tex]
Choosing the second:
[tex]\dfrac{4^{-3}}{4^{-1}}[/tex]
Apply law of indices: [tex](\frac{a^m}{a^n} = a^{m-n})[/tex]
So,
[tex]\dfrac{4^{-3}}{4^{-1}} = 4^{-3-(-1)}[/tex]
[tex]\dfrac{4^{-3}}{4^{-1}} = 4^{-3+1)}[/tex]
[tex]\dfrac{4^{-3}}{4^{-1}} = 4^{-2}[/tex]
Apply law of indices: [tex](a^{-b} = \frac{1}{a^b})[/tex]
So:
[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}[/tex]
Answer: 4^-2
Step-by-step explanation:
I will give you all 5 stars ⭐⭐⭐⭐⭐
Answers
Answer:
fkrmvgbhd
Step-by-step explanation:
Answer:
its BBBBBBBBBBBBBB
Step-by-step explanation:
plz give brainliest
(Apologies for the poor photo quality)
A. 0, 1
B. 0, -4
C. 0, 12
D. 0, 8
Answers
I believe it is C: (0,12)
Hope this helps!
x+2 (4-x) = 2x + 6 - 3x
Is this Infinitely Many Solutions
One solution
Or no solution
Answers
Answer:
No solutions
Step-by-step explanation:
hope this helps!
find the slope multiple choice
Answers
Explanation: This is because if you start from the middle for for example, you would go down 1 (which is -) and to the right twice to get to the dot on the right side ( which is +)
A consumer spends all of his income on two goods. If his income and the prices of both goods all halve, the consumer will
Buy the same amounts of both goods.
Buy less of one good and more of the other.
Buy less of both goods.
Halve the amount bought of both goods.
Halve the amount bought of one good.
Answers
Answer:
i think its #4
Step-by-step explanation:
sorry if its wrong
La siguiente funcion representa el costo del alquiler de un auto, en soles, en funcion del X de dias que se requiera = F (X) = 50 + 80 X
Answers
Answer:
Dado que f (x) = 50 + 80x, obtenemos m = 80, esto significa que el costo aumenta en 80 cada día
Step-by-step explanation:
La siguiente función representa el costo del alquiler de un auto, en soles, en función del número x de días que se requiera: f(x) = 50 + 80x. ¿Cuánto vale su pendiente y qué representa? a) 130; representa que, por cada día de alquiler, el costo se incrementa en 130 soles. b) 80; representa que, por cada día de alquiler, el costo se incrementa en 80 soles. c) 50; representa que, por cada día de alquiler, el costo se incrementa en 50 soles. d) 30; representa que, por cada día de alquiler, el costo se incrementa en 30 soles
Answer:
La función es una función lineal. Una función lineal tiene la forma y = mx + b, donde m es la tasa de cambio de y con respecto a x, b es el valor de y en x = 0, x es una variable independiente (no depende de otras variables) ey es una variable dependiente (depende de otras variables)
Dado que f (x) = 50 + 80x, obtenemos m = 80, esto significa que el costo aumenta en 80 cada día
synonym for precious
Answers
Answer:
valuable, costly, expensive, fine, rare, there are more but here re some :)
Three out of seven soccer players wore headbands in a soccer league. A.Write the ratio of soccer players who wore headbands to soccer players who did not. B. If there were 36 players in the league who did not wear headbands, how many players were in the league brainily
Answers
Answer:
A. 3:4
B. 63 soccer players
Step-by-step explanation:
A. If out of 7 players, 3 wore headbands, then it means 4 out of 7 did not wear headbands.
Ratio of players who wire headbands to those who didn't wear headbands would be 3:4
B. Let x represent number of players who wore headbands
Number of players who didn't wear = 36
Total number of players in the league = number of players who wore headbands + those who didn't wear headbands = x + 36
Let's find x by using the ratio generated in part A.
Ratio of players who wore head bands to players who didn't wear = 3:4 = x:36
[tex] \frac{3}{4} = \frac{x}{36} [/tex]
Cross multiply
[tex] 4*x = 3*36 [/tex]
[tex] 4x = 108 [/tex]
[tex] \frac{4x}{4} = \frac{108}{4} [/tex]
[tex] x = 27 [/tex]
Total number of players in the league = x + 36
Plug in the value of x
= 27 + 36
= 63 players
The graph shows the distances traveled by two runners over several minutes.
A graph measuring distance and time. Two lines, labeled Runner A and Runner B, exit the origin to show that distance increases as time increase
Which runner is moving at a slower rate?
A. Runner A
B. Runner B
Answers
Explanation: Runner A’s slope is steeper meaning they are running faster
What is the equation in standard fline y =
9x-7y=63
Answers
Answer:
m=9/7
Step-by-step explanation
I dont think its right but i hope it helps!
helpppp please ! tytyy
Answers
Answer:
9.318 * 10^6.
Step-by-step explanation:
(9.3 * 10^6) + (1.8 * 10^4)
= 9300000 + 18000
= 9318000
= 9.318 * 10^6.
Pls Help Only if you know the answer Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)−7 ?
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 7.
The graph of g(x) is the graph of f(x) translated 7 units down.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 7.
The graph of g(x) is the graph of f(x) translated 7 units left.
Answers
Answer:
The graph of g(x) is the graph of f(x) translated 7 units down
Step-by-step explanation:
Hope this helps!
anyone awakee?? I need your help lol just answer the ones u know
Answers
Answer:
15a: 3 tarts = 90 minutes or 1 tart = 30 minutes
15b: 3.75 days
15c: 5 = 120 minutes or 1 tart every 24 minutes. It would take 720 minutes, or 12 hours, and if Peter is working 4 hrs a day, it would take 3 days.
Step-by-step explanation:
PLZZZZZZZZZZZ HELPPPP!!!!!
Rewrite in simplest terms: 4s-10(-10s-3)
Answers
Answer:
corect answer
Step-by-step explanation:
please help solve with step by step process.
3x + 4.7 < -1.5x + 6.5
Answers
Answer:
x < .4
Step-by-step explanation:
Please mark Brainliest when you’re able :)
Answer:
Step-by-step explanation:
Step 1 - replace the < with an =
3x + 4.7 = -1.5x + 6.5
Step 2 - subtract 4.7 from each side, and add 1.5x to each side
3x + 1.5x = 6.5 - 4.7
4.5x = 1.8
Step 3 - divide each side by 4.5
x = 1.8/4.5
x = .4
Step 4 - change the = back to <
x < .4
Just make sure when you do it this way you check the answer because if you solved by subtracting 3x and subtracting 6.5 you would end up with .4 = x this .4 < x which is false. So depending what number you get always plug in a number bigger and smaller into the original to check. In this case 0 and 1 work.
3(0) + 4.7 < -1.5(0) + 6.5
4.7 < 6.5 which is true.
3(1)+ 4.7 < -1.5(1) + 6.5
3+4.7 < -1.5 + 6.5
7.7 < 5 which is false
So we know the direction on our < is right.
A sign at West High
School has the shape shown.
Measure each of the angles
and classify them as right,
acute, or obluse.
Answers
Answer:
5inches in all angles 2 right 2 obtuse 1 acute
Step-by-step explanation:
A triangle has sides of x, 2x, and 2x+6. If
the perimeter of the triangle is 86 cm,
find the lengths of the sides.
Answers
5X=80
X= 16
Which expression represents "8 times the sum of a number and 3"?
Answers
Answer:
8(x + 3)
Step-by-step explanation:
Help me please and sorry for all of the questions.
Answers
Answer:
1/2
Step-by-step explanation: you would have to multiply mables amount and her mothers and you have ur answer
Answer:
it is one half
Step-by-step explanation:
Oct 07, 1:28:22 PM
What is the equation of the line that passes through the point (-4, 4) and has a slope of 3/4
Answers
Answer:
y=3/4x+7
Step-by-step explanation:
You want to find the equation for a line that passes through the point (-4,4) and has a slope of 3/4.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 3/4. So you can right away fill in the equation for a line somewhat to read:
y=3/4x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,4). When x of the line is -4, y of the line must be 4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 3/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,4).
So, why not plug in for x the number -4 and for y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,4). y=mx+b or 4=3/4 × -4+b, or solving for b: b=4-(3/4)(-4). b=7.
hope this answers your question sorry it's soo long i just like writing long stuff have a great day!!
what is the quotient of 1/8 divided by 4/9
Answers
You would want to use the Keep, Change , Flip
method. So you keep the 1/8, change division into multiplication, the flip the 4 into 1/4.
Step-by-step explanation:
(1/8) / 4
(1/8) * (1/4)
answer: 1/32 or 0.03125
1. if the sum of the square of the number and 4 time the number is 21 what is the number?
2.if the sum of the square of the number and 4 time that number is 21 the what is the number?
3. the length of the rectangle is 3 less than twice the width. if the area is 9 square ft, the length and width of the rectangle.
4.given the figure below. find the area of the shaded part of the rectangle if the area of the big but angle is 6 times the area of the unshaded rectangle
Answers
Answer:
Step-by-step explanation:
1. Let the number be x
x^2 + 4x = 21
x^2 + 4x - 21 = 0
Solve the quadratic equation using factorization method
x^2 - 3x + 7x - 21 = 0
x(x - 3) + 7(x - 3) = 0
(x - 3)(x+7) = 0
x - 3 = 0 x + 7 = 0
x = 3 x = -7
The number is either 3 or -7
2. Same solution as number 1
3. Let
Width = x
Length = 2x - 3
Area of the rectangle = 9 square ft
Area of a rectangle = length × width
9 = (2x - 3) (x)
9 = 2x^2 - 3x
2x^2 - 3x - 9 = 0
Solve using quadratic formula
a = 2
b = -3
c = -9
x = -b +or- √b^2 - 4ac / 2a
= -(-3) +or- √(-3)^2 - 4(2)(-9) / 2(2)
= 3 +or- √ 9 - (-72) / 4
= 3 +or- √9 + 72 / 4
= 3 +or- √81 / 4
= 3 +or- 9 / 4
x = (3 + 9)/4 or (3 - 9) / 4
= 12 / 4 or -6 / 4
x = 3 or -3/2
Width can not be a negative value
So,
Width = x = 3 ft
Length = 2x - 3
= 2(3) - 3
= 6 - 3
= 3ft
2.if the sum of the square of the number and 4 time that number is 21 the what is the number?
3. the length of the rectangle is 3 less than twice the width. if the area is 9 square ft, the length and width of the rectangle.
4.given the figure below. find the area of the shaded part of the rectangle if the area of the big but angle is 6 times the area of the unshaded rectangle
Unshaded area
Length = 2x
Width = x
Shaded area
Length = (2x+3)
Width = (x+3)
Area of the shaded area = 6 × the unshaded area
(2x) (x) = 6(2x + 3)(x+3)
2x^2 = 6(2x^2 + 6x + 3x + 9)
2x^2 = 12x^2 + 36x + 9x + 54
2x^2 = 12x^2 + 45x + 54
12x^2 + 45x + 54 - 2x^2 = 0
10x^2 + 45x + 54 = 0
Write an expression that is equivalent to three over four (5z+ 16). (4 points)
Group of answer choices
15 over four z + 16
15 over four z + 12
three over four z + 16
three over four z + 12
Answers
Answer:
15 over four + 12
Step-by-step explanation:
I have had the question in the past
i need help please. daad
Answers
Answer:
DASSDASDSADA
Step-by-step explanation:DADSA
Question 3 of 5
Religious social institutions affect culture by:
A. passing laws that affect all citizens.
B. preventing families from raising children.
c. organizing a society's money.
D. shaping people's spiritual beliefs.
SUBMIT
wrong class i mean social studies
Answers
Answer:
D.Shaping people's spiritual beliefs
Step-by-step explanation:
Answer:
Passing laws that affect all citizens
Step-by-step explanation:
A pex
HELPP MEE PLEASEE I DONT KNOW IT
Answers
Answer
36 hope this helps
Answer:
36°
Step-by-step explanation:
u have the explination for the last one, so im just gonna give u the answer k?
btw that weird little upside down t means parrallell
What is the quotient of the fractions below?
Answers
After dividing the two fractions, the answer in simplest form is
33/25