Consider y=h(θ) described in the table. When comparing h(θ) to the parent function f(θ)=cos(θ), which statements are true? Select all that apply.
Answers
2 Answers:
Choice AChoice E=====================================================
Explanation:
Let's go through the answer choices
---------------------------------
A)
The lowest point is y = 1, and the highest point is y = 27. Computing the midpoint gets us (yMin+yMax)/2 = (1+27)/2 = 28/2 = 14.
The midline of [tex]h(\theta)[/tex] is y = 14.
Consider that the parent function [tex]\cos(\theta)[/tex] has a midline of y = 0. The jump from y = 0 to y = 14 must mean [tex]h(\theta)[/tex] has a vertical shift of 14.
Choice A is true
---------------------------------
B)
The period is the length of the cycle. For the function [tex]h(\theta)[/tex], the function starts at [tex]\theta = 0[/tex] and repeats when it gets to [tex]\theta = \frac{\pi}{2}[/tex]. This is a difference of pi/2 units which is the period.
Choice B is false. It contradicts with choice E.
---------------------------------
C)
Choice C is false. The max for [tex]h(\theta)[/tex] is at y = 27
---------------------------------
D)
To figure out the amplitude, we can note the vertical distance from the midline y = 14 to the max is 27-14 = 13 units.
Or we can note the distance from the midline to the min is 14-1 = 13 units.
Or we subtract the min and max, and divide by 2: (yMax-yMin)/2 = (27-1)/2 = 26/2 = 13
Either way, the amplitude is 13 units
Choice D is false.
---------------------------------
E)
Choice E is true. Refer to choice B to see why this is the case.
---------------------------------
Side note: one possible function is [tex]h(\theta) = 13\cos(4\theta+\pi) + 14[/tex]. The various pieces of that function (in)directly lead to the amplitude, period, and vertical shift.
The correct two options are h(Ф) has vertical shift of 14 and Choice E
The period of a fuction is x/2
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Let's go through the answer choices
A)
The lowest point is y = 1, and the highest point is y = 27. Computing the midpoint gets us (yMin+yMax)/2 = (1+27)/2 = 28/2 = 14.
The midline of is y = 14.
Consider that the parent function has a midline of y = 0. The jump from y = 0 to y = 14 must mean has a vertical shift of 14.
Choice A is true
B)
The period is the length of the cycle. For the function , the function starts at and repeats when it gets to . This is a difference of pi/2 units which is the period.
Choice B is false. It contradicts with choice E.
C)
Choice C is false. The max for is at y = 27
D)
To figure out the amplitude, we can note the vertical distance from the midline y = 14 to the max is 27-14 = 13 units.
Or we can note the distance from the midline to the min is 14-1 = 13 units.
Or we subtract the min and max, and divide by 2: (yMax-yMin)/2 = (27-1)/2 = 26/2 = 13
Either way, the amplitude is 13 units
Choice D is false.
E)
Choice E is true. Refer to choice B to see why this is the case.
Side note: one possible function is h(Ф) = 13 Cos(4Ф + π) + 14 . The various pieces of that function (in)directly lead to the amplitude, period, and vertical shift.
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Step-by-step explanation:
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Step-by-step explanation:
Here,
y= 2x
and x € (1,2,3)
now,
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Step-by-step explanation:
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Step-by-step explanation:
Here,
13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]
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The solutions to the equation -4|x + 9| = -8 are:
7, 11
7, -11
-7, 11
-7, -11
Answers
Answer:
option 4
Step-by-step explanation:
Given Equation :-
=> -4| x + 9 | = -8
To FinD :-
=> Solution of the equation .
Solving it :-
=> -4| x + 9 | = -8
=> | x + 9 | = -8/-4
=> |x + 9| = 2
=> ( | x + 9 | )² = 2²
=> x + 9 = ±2
=> x = -9 +2 , -9-2
=> x = - 7 , -11
Option 4 is correct.
Answer:
x = - 7 , - 11
Step-by-step explanation:
[tex]-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7[/tex]
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Answers
Answer:
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Step-by-step explanation:
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sum of fraction of farm planted with maize and beans =
[tex]\frac{1}{6} + \frac{1}{4}[/tex]
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1
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A used car dealer prices her cars so that she makes a minimum profit of 15% on each car sold. If she acquired a car
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Answer:
A. (0,-2)
Step-by-step explanation:
Meaning of a rational number is a number that can be expressed as the quotient or fraction
p/q of two integers, a numerator p and a non-zero denominator q.
Answer:
(A). (0,-2)
Step-by-step explanation:
y-intercept means the points in which the funtion crosses the y-axis. According to the graph you can see that at (0,-2) it crosses the axis and therefore (0,-2) is the answer.
If this helps you, please give brainliest!
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Answers
Answer:
question says D = f + fx,
then,
D = 2fx
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PLZZ HELP. ONLY ANSWER IF YOU THINK YOU HAVE THE CORRECT ANSWER PLZZ!
Answers
Answer:
$232.75
Step-by-step explanation:
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I hope this helps with the problem. See ya.
provide explanation too please !
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Answers
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Answers
Answer:
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Step-by-step explanation:
3+2 (2x - 4)
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
3a-26
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Please help me
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Answers
Answer:
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Answer:
d bro. pay attention at order of triangle's vertices
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$321562.50
Step-by-step explanation:
Exponential growth can be modeled by the formula [tex]y = a(1+r)^{x}[/tex] , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.
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Answers
Answer:
m∠IGJ = 42°
Step-by-step explanation:
It's given in the question,
m(arc IJ) = 84°
And we have to get the measure of ∠IGJ.
By using the property of inscribed angle and the intercepted arc.
"Measure of an inscribed angle is half of the measure of intercepted arc"
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What is the volume, in cubic feet, of a rectangular prism with a height of 2 feet, a
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Answers
Answer: 340
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what is (x+2)(x-2) equal ?
Answers
Answer:
x^2 - 4
Step-by-step explanation:
since it is in the form of
a^2 - b^2 = (a + b)(a - b)
u can directly write x^2 - 2^2
=x^2 - 4
process :
(x + 2)(x - 2)
=x(x - 2) + 2(x - 2)
=x^2 - 2x + 2x - 4
=-2x and plus 2x gets cancel
=x^2 - 4
A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212. Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y = the number of plain pizzas bought.
Answers
Answer:
13x + 11y = 212
Step-by-step explanation:
total cost of purchasing an item = unit cost x total units purchased
total cost of purchasing pepperoni pizza = 13 × x = 13x
total cost of purchasing plain pizza = 11 × y = 11y
total cost of purchasing both items = total cost of purchasing pepperoni pizza + total cost of purchasing plain pizza
- 13x + 11y = 212
Complete the synthetic division to find the quotient of 3x^3-25x^2+12x-32 and x-8
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Answer:
Explanation:
Hey there!
Please see your required solution in picture.
Quotient Q(X) = 3x²-x+4
Hope it helps!
Answer:
see image
Step-by-step explanation:
Plato/Edmentum
Over what interval is the function in this graph constant?
Answers
Answer:
[tex]\text{A. }1\leq x \leq6[/tex]
Step-by-step explanation:
A constant intervals occurs when the function is neither increasing or decreasing. In the graph, we see this occurs from [tex]x=1[/tex] to [tex]x=6[/tex]. Therefore, the interval in which the graph is constant is [tex]\boxed{\text{A. }1\leq x \leq6}[/tex]
Which expression is equivalent to x2 - 17x - 60?
Answers
Answer:
(x-20) (x+3)
Step-by-step explanation:
x^2 - 17x - 60
What two numbers multiply to -60 and add to -17
-20 * 3 = -60
-20 +3 = -17
(x-20) (x+3)
Answer:
option A is correct
Step-by-step explanation:
x^2 - 17 - 60
using middle term break method
x^2 - (20 - 3)x - 60
x^2 - 20x + 3x - 60
x(x - 20) + 3(x - 20)
(x + 3)(x - 20)
2020 people formed a line. In one move, you are allowed to exchange the positions of two people, separated by one other person. Can you always sort the people form tallest to shortest using these moves?
Answers
Answer:
yes you CAN you can use the descending to ascending formular but on people in which they might be a mixup of tallest and shortest
No, it is not always possible to sort the people from tallest to shortest using these moves.
Suppose there are four people in the line with heights A, B, C, and D, where A is the tallest and D is the shortest.
The initial order is A-B-C-D.
In each move, we can only exchange the positions of two people separated by one other person.
However, no matter how many moves we make, we cannot change the relative order of A and D since they are separated by two other people.
Thus, it is not possible to sort the people from tallest to shortest using these moves.
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Which statement are true of functions? (All that applies)
A. All function have a dependent variable
B. All function have a independent variable
C. The range of a function includes its domain
D. A vertical line is an example of a functional relationship
E. A horizontal line is an example of a functional relationship
F. Each output value of a function can correspond to only one input value
Answers
A and B and E.And sorry if I get it wrong.
