Answers
Answer:
8. ☐ A Up
☑ B Down 1
☑ C Left [tex]\displaystyle \frac{\pi}{2}[/tex]
☐ D Right
7. [tex]\displaystyle 3\pi[/tex]
6. ☑ A x = −2π
☐ B x = −π
☐ C x = [tex]\displaystyle \frac{\pi}{2}[/tex]
☑ D x = π
5. [tex]\displaystyle y = -1[/tex]
Explanation:
[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ \boxed{y = tan\:(\frac{1}{3}x + \frac{\pi}{6}) - 1} \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{6}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{\pi}{\frac{1}{3}} \\ Amplitude \hookrightarrow N/A[/tex]
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Second, to find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, on a universal scale of [tex]\displaystyle \frac{\pi}{4}[/tex] with a range of [tex]\displaystyle -2\pi\:to\:2\pi,[/tex] the vertical asymptotes are [tex]\displaystyle -2\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{3\pi} = \pi + 2\pi.[/tex] So, the period of this function is [tex]\displaystyle 3\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -1.[/tex]
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
Related Questions
PLZ HELPP
Q: Nitrates are organic compounds that are a main ingredient in fertilizers. When those fertilizers run off
into streams, the nitrates can have a toxic effect on
fish. An ecologist studying nitrate pollution in two
streams measures nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. The parallel dotplots display the data.
1. Explain what the dot above 12 in the Stony Brook graph represents.
Answers
By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L
To understand this, first I want to give a brief explanation of how these graphs work.
You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.
Each of these 42 places is represented with a dot in the corresponding graph. Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).
So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L
If you want to learn more, you can read:
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You are adding two rational numbers with different signs.How can you tell if the sum will be positive, Negative,or Zero
Answers
Solve the formula for the indicated variable.
B = qn + q, for n
Answers
Answer:
n=B-q/q
Step-by-step explanation:
A square vegetable garden has side lengths of 9 feet. You plant flowers i
the center portion of the garden, a square that has side lengths of 5
feet.You divide the remaining space into 4 equal sections and plant
tomatoes,onions, zucchini, and peppers. What is the area of the pepper
section?
Answers
Answer:
14 Sq ft
Step-by-step explanation:
9×9=81
5×5=25
81-25=56
56÷4=14
When p= 12, t= 2, and s= 5, r= 18. If rvaries directly with p and inversely with the product of sand t, what is the
constant of variation?
Answers
Answer:
15
Brainliest, please!
Step-by-step explanation:
r = kp/(st)
p = 12, t = 2, s = 5, r = 18
18 = k(12)/(2)(5)
18 = 12k/10
12k = 180
k = 15
is the function in the graph non-linear?
Answers
Answer:
yeah, because it doesnt have a constant rate of change - if it did, then it would be linear
Step-by-step explanation:
In a bakery, 70% of the doughnuts are glazed. If glazed doughnuts account for 21% of all pastries in the bakery, what percent of all pastries in the bakery are doughnuts
Answers
Answer:
30%
Step-by-step explanation:
Sin A 4/5.
Find
COSA + tan A
Answers
Answer:
Step-by-step explanation:
The opposite side (the one not connected to A) = 4
The hypotenuse is 5
The adjacent side needs to be found for the cosine and the tangent.
a^2 + b^2 = c^2
a = opposite side = 4
b = adjacent side = ?
c = hypotenuse = 5
4^2 + x^2 = 5^2
16 + x^2 = 25
x^2 = 25 - 16
x^2 = 9
x = sqrt(9)
x = 3
cos(A) = adjacent / hypotenuse = 3/5
Tan(A) = opposite / adjacent = 4/3
cos(A) + tan(A) = 3/5 + 4/3
cos(A) + tan(A) = 9/15 + 20/15 = 29/15
To find: CosA + TanA
Solution:
16/25 + Cos²A = 1 [Sin²A + Cos²A = 1]
Cos²A = 1 - 16/25
Cos²A = 25 - 16/25
Cos²A = 9/25
CosA = 3/5
We know that TanA = SinA/CosA
TanA = (4/5)/(3/5)
TanA = 4/3
CosA + TanA = 3/5 + 4/3 = 29/15
25x^2-36x+9
with x=2
Answers
25x² - 36x +9, when x = 2
(25 × 2)² - (36 × 2) + 9
50² - 72 + 9
2 500 - 72 + 9
using BODMAS
2 500 + 9 - 72
2 509 - 72
= 2 437
Answer:
Step-by-step explanation:
25(2)^2-36(2)+9
25(4)-72+9
100-72+9
28+9
37
What are the coordinates of the quadrilateral WXYZ after it is reflected across the y-axis.
Answers
Step-by-step explanation:
the coordinates of the quadrilateral WXYZ after reflected across the y-axis:
W' (3, 4)
X' (-2, 8)
Y' (-4, -4)
Z' (3, -4)
Help! I’ll give you the brainly answer if you help!
Answers
Answer:
2,78,31,64,4-2,10-6,54,-97,-38,-8-7,-4-5,-11-1,-16is 9.40 equal to 9.4
Answers
Answer:
no
Step-by-step explanation:
if it was 9.04 it would
its not equal because 9.40 is 10^2 but 9.4 is 10^1
3.3(n-8)-n=1.2
Simplify! ::)
Answers
Answer:
n=12
Step-by-step explanation:
3.3(n-8)-n=1.2
Distribute
3.3n -26.4 -n = 1.2
Combine like terms
2.3n -26.4 = 1.2
Add 26.4 to each side
2.3n -26.4+26.4 = 1.2 +26.4
2.3n = 27.6
Divide each side by 2.3
2.3n/2.3 = 27.6/2.3
n=12
the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]
Step 1: Distribute the 3.3 to the terms inside the parentheses:
[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]
Step 2: Perform the multiplication:
[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]
Step 3: Combine like terms:
[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]
Step 4: Isolate n by dividing both sides by 2.3:
[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]
So, the solution to the equation is n = 12.
To know more about equation:
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I wrote a cheque for $10 and he threw my 2 dollar how much do I have left
Answers
Answer:
you have $ 8
Step-by-step explanation:
cheque wrote ,=$10
and he threw =$2
then total $ left will be $8
please mark me brainleast
The population of a city is increasing 4% per year and is now 7,200. If it continues to increase at the same rate, what will the population be after 3 years?
Answers
Answer:
A = 7200(1.04)^3
A = 8099
Step-by-step explanation:
The value of the 7 in 37,560 is blank the value of the 7 and 4,720
Answers
Answer:
The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.Step-by-step explanation:
In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Easy for smart people
Answers
Answer:
72 x 3/7 < 72
Step-by-step explanation:
72 x 3/7 = 30 6/7. Therefore 72 is the bigger number.
I hope this helps you out :).
ITS NUMBER 10. THAT I NEED HELP WITH
Answers
If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
Answers
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].
Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:
[tex](8-4)(2+3)=(4)(5)=20[/tex]
Hence, the maintained product is [tex]20[/tex].
Thus, we have the following equation:
[tex](x-4)(y+3)=20[/tex]
Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:
[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]
suppose a 13 foot ladder is leaning against a building. Reaching to the bottom of a second floor window 12 ft above the ground. How far is the base of the ladder from the building? Round your answer to the nearest 10th
5 ft
4ft
3ft
6ft
Answers
Answer: First Choice. 5ft
Step-by-step explanation:
Here we need to know the idea of the Pythagorean theorem.
Since a building is straight, the base angle is a right angle, thus it would be a right triangle.
Pythagorean Theorem: a² + b² = c²
**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)
Solve:
Given information
a = 12 ft
c = 13 ft
b = unknow base length
Given formula for Pythagorean Theorem
a² + b² = c²
Substitute values into the formula
12² + b² = 13²
Simplify exponents
144 + b² = 169
Subtract 144 on both sides
144 + b² - 144= 169 - 144
b² = 25
Square root both sides
√b² = √25
[tex]\boxed{b=5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
slove for w -22=4(w=2)-7w
Answers
because math
Please help me with A B and C
Answers
Answer:
b)A box from all 4 sides increases as the number increase
c)
Step-by-step explanation:
a+(n-1)d
a-first terms
d- difference
5+(n-1)4
5+4n-4
4n+1(the nth term)
so for 50th
its 4*50+1
Answer is 201 tiles
Hope this helps you :))
Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)
Answers
Answer:
4.2
Step-by-step explanation:
d=sqrt[(x1-x2)^2+(y1-y2)^2]
d=sqrt[(5-8)^2+(-5+8)^2]
d=sqrt[(-3)^2+(3)^2]
d=sqrt[9+9]
sqrt18=4.24
Delores works weekends at the local coffee shop. Last weekend, she worked for 7.5 hours on Saturday and 8 hours on Sunday. If she earns $9 per hour, how much did she earn last weekend?
Answers
Answer:
So she earned 148 dollars and 50 cents or 148.5
Step-by-step explanation:
Zachy plays a game. He earns and loses the following amounts of points throughout the entire game
-5
5
-5
-5
5
5
Answers
Explanation:
He loses 5 three times so 15
And the -5 is just him getting 5 points so
If he lost 15 points and the gains 15 point he has zero points
Which of the following represents "10 less than n"?
Answers
Answer:
n - 10
Step-by-step explanation:
10 is less than n so subtract 10 from n
The midday temperature, in Celsius degrees (°C), on four successive days is 1.5, -2.6, – 3.4 and 0.5. Calculate the mean temperature.
thanks for anyone who helped <3
Answers
Answer:
-1 C
Step-by-step explanation:
Mean = Average
To find the mean simply add all the values and then divide that by the number of given values
So first add the 4 values together
1.5 + -2.6 + -3.4 + .5 = -4
Then divide the sum by the number of values ( there are 4 values )
-4 / 4 = -1
The mean temperature is -1
b) 20 labourers complete the construction of a building in 24 days. In how many days would 16 labourers complete the construction?
Answers
Answer:
16 labourers complete the construction
in 30 days
Step-by-step explanation:
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HELP!! Use the properties of addition to simplify this expression. 6-8 +6f-2f
Answers
Answer:
-2 + 4f
Step-by-step explanation:
6 - 8 + 6f - 2f
2(3 - 4 + 3f -f) [Distributive Property]
=> 2(-1 + 3f - f)
=> 2(-1 + 2f)
=> -2 + 4f
Answer:
4f-2
Step-by-step explan:
6-8+6f-2f
6-8+4f
4f-2
When is ignorance delightful
Answers
Answer:
Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.
I am super late
