Answers
Answer:
see attached
Step-by-step explanation:
The left piece is a little tricky because it does not intersect the y-axis. You know it has a slope of -1, so it will be 1 unit higher than the y-intercept when it is 1 unit left of the y-axis. It ends at (-1, 3). The end point is not included in the definition of the relation, so an open circle is shown.
The right piece crosses the y-axis at y=-3, and has a slope of 2. It ends at (-1, -5). This end point is included, so a solid dot will be found at (-1, -5).
The relation is doubly-defined at x = -1, so there is another solid dot at (-1, -2).
__
Additional comment
It is incorrect to call this a function, because it fails the vertical line test at x = -1. There are two points on that vertical line. (You may want to discuss this question with your teacher.)
Related Questions
what is greater 3/6 or 6/8
Answers
The cash price of a color tv is $100000. Workout an installment plan for two years of monthly installment if the deposit is 15% and interest at the rate of 12 %
Answers
Answer:
The price of the house = $ 100000
The down payment is 20 % of 100000 means dollars
So, loan amount will be = dollars
Step-by-step explanation:
mark brainly weirdo
A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 20 seconds, and the average height of the bottle is 10 feet. The bottle moves in a manner such that the distance from the highest and lowest point is 4 feet. A cosine function can model the movement of the message in a bottle in relation to the height.
Part A: Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time, t. (5 points)
Part B: Assuming that at t = 0 the message in a bottle is at its average height and moves upwards after, what is the equation of the function that could represent the situation? (5 points)
Part C: Based on the graph of the function, after how many seconds will it reach its lowest height? (5 points)
Answers
Answer:
See below for answers and explanations for each part (along with attached graph)
Step-by-step explanation:
Recall the equation [tex]f(x)=asin(bx+c)+d[/tex] where [tex]a[/tex] is the amplitude, [tex]\frac{2\pi}{b}[/tex] is the period, [tex]-\frac{c}{b}[/tex] is the phase/vertical shift, and [tex]d[/tex] is the midline
Part A
The amplitude is half the distance between the maximum/minimum, therefore, the amplitude is [tex]a=\frac{4}{2}=2[/tex]Also, we are given that the period is 20 seconds, which means that if [tex]\frac{2\pi}{b}=20[/tex], then [tex]b=\frac{\pi}{10}[/tex]Part B
Since [tex]f(x)=sin(x)[/tex] begins at its average and we use the identity [tex]sin(x)=cos(x-\frac{\pi}{2})[/tex] to represent the wave traveling up first, then we have [tex]c=-\frac{\pi}{2}[/tex], making the phase shift [tex]-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{10}}=5[/tex], or 5 feet to the rightWe also know that the average, or the midline, must be [tex]d=10[/tex], making our equation [tex]f(t)=2cos(\frac{\pi}{10}t-\frac{\pi}{2} )+10[/tex] as a function of [tex]t[/tex]Part C
If you review the attached graph, you will see that when [tex]t=15[/tex], then the bottle will reach its lowest height of 8 feet
I hope these explanations and the attached graph help you understand sinusoidal functions better! Please mark this answer brainliest if you found this answer helpful!
a) The amplitude of the function is 4 feet.
b) The function that represents the situation is [tex]y(t) = 10 +4\cdot \sin \frac{\pi\cdot t}{10}[/tex].
c) The bottle will take 15 seconds to reach its lowest height.
How to find a function for the height of a bottle and how to analyze its motion
a) The amplitude ([tex]A[/tex]), in feet, is equal to the difference between highest and lowest point ([tex]y_{max}[/tex], [tex]y_{min}[/tex]), in feet, divided by 2. The period ([tex]T[/tex]), in seconds, is the time taken by the bottle to complete one cycle. In this case, the period is the time between two maxima. Hence, we proceed to determine each variable:
Amplitude ([tex]y_{max} = 14\,ft[/tex], [tex]y_{min} = 6\,ft[/tex])[tex]A = \frac{14\,ft-6\,ft}{2}[/tex]
[tex]A = 4\,ft[/tex]
The amplitude of the function is 4 feet. [tex]\blacksquare[/tex]
PeriodThe period of the function is 20 seconds. [tex]\blacksquare[/tex]
b) The function that represents the situation is based on this model:
[tex]y(t) = y_{o} + A \cdot \sin \frac{2\pi\cdot t}{T}[/tex] (1)
Where:
[tex]y_{o}[/tex] - Average height of the bottle, in feet.[tex]t[/tex] - Time, in seconds. [tex]y(t)[/tex] - Current height, in feet.If we know that [tex]A = 4\,ft[/tex], [tex]y_{o} = 10\,ft[/tex] and [tex]T = 20\,s[/tex], then the function that represents the situation is:
[tex]y(t) = 10 +4\cdot \sin \frac{\pi\cdot t}{10}[/tex] (2)
The function that represents the situation is [tex]y(t) = 10 +4\cdot \sin \frac{\pi\cdot t}{10}[/tex]. [tex]\blacksquare[/tex]
c) With the help of a graphic tool, we graph the function in time. According to the image, the bottle will take 15 seconds to reach its lowest height. [tex]\blacksquare[/tex]
To learn more on simple harmonic motion, we kindly invite to check this verified question: https://brainly.com/question/17315536
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answers
Answer:
cos x=adjacent/hypotenuse
cos x = 54/34
or Tan¹ =54/34
x=58
What is the equation of the nine that passes through
5,1)
and has a slope of 6/5
Answers
Answer:
y 6/5x-2
Step-by-step explanation
Answer:
y = [tex]\frac{6}{5}[/tex] x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{6}{5}[/tex] , then
y = [tex]\frac{6}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 1 ) into the partial equation
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = [tex]\frac{6}{5}[/tex] x - 5 ← equation of line
what is the volume of this prism?
Answers
Answer:
36 cubic inches
Step-by-step explanation:
v=(3)(6)(2)=36
Hope this helps
Notes/Examples The distance between two points A and B be written as
Answers
Answer:
Use the Pythagorean theory equation
[tex]\sqrt{(x_{2}-x _{1})^{2} +(y_{2}-y_{1})^{2}[/tex]
What is the area of the parallelogram?
13 cm
5 cm
14 cm
O 32 cm2
O 65 cm2
O 70 cm2
195 cm 2
Answers
Answer:
70 cm²Step-by-step explanation:
The area of the parallelogram is:
14 × 5
= 70 cm²
Hope it helps!
Ivan plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answers
Answer:
n=2m
Step-by-step explanation:
I need help on this Pythagorean Theorem question would be nice if somebody helped quick
Answers
Answer:
Step-by-step explanation:
5^2 + 5^2 = x^2
25 + 25 = x^2
50 = x^2
[tex]\sqrt{50}[/tex] = x, 5[tex]\sqrt{2}[/tex]
x = approximately 7.07
Answer:
Exact: SQRT 50
Approx: 7.07
Step-by-step explanation:
you take both of the 5s and square them.
So 5*5=25 and 5*5 is 25. Since the right angle is opposite the side you are trying to find you add those together to get 50. Then you take the SQRT of 50 because you are trying to solve for x via the pythagorean theorem.
So the exact is SQRT 50
and the approx is 7.07
Which figure is a rotation of figure E’
Answers
Answer:
FIGURE F... I just got it right on iready
The figure that showcases the rotation of figure E in the image attached below is figure F.
What is the rotation of figures?A rotation is a planar transformation that rotates each and every point of a figure around a fixed reference point at a defined angle and direction. The fixed point is known as the rotational center.
Rotating figures entails revolving them around a central axis and at certain degrees. The figures themselves usually remain the same, but their location in space will shift.
From the image attached, The figure that showcases the rotation of figure E is figure F.
Learn more about the rotation of figures here:
https://brainly.com/question/26249005
What is 5 4/9 - 2 5/9
Answers
Answer:
2 8/9
Step-by-step explanation:
B3cause when you subtract 5 4/9 and 2/59 you get 2 /89
-7a + 5a = -25 + 21 Solve for a
If you can't figure it out its ok!
Answers
Answer: a = 2
Step-by-step explanation: combine both sides. Remove variable by dividing, answer is 2
-7a + 5a = -25 + 21
-7a + 5a = -4
-2a = -4
a = 2
Type the expressions as radicals.
y 3/5
Answers
Step-by-step explanation:
If
n
is a positive integer that is greater than
x
and
a
is a real number or a factor, then
a
x
n
=
n
√
a
x
.
a
x
n
=
n
√
a
x
Use the rule to convert
y
3
5
to a radical, where
a
=
,
x
=
, and
n
=
.
5
√
y
3
The area of the circle below is 28.26 ft. What is the diameter?
Answers
Answer:6 feet
Step-by-step explanation:area = PI x r^2
28.26 = 3.14 x r^2
r^2 = 28.26 / 3.14
r^2 = 9
r = sqrt(9)
r = 3
diameter = 2r = 2(3) = 6 feet
If jasmine spent $280 on 20 pairs of earrings,what was the cost of 1 pair?
Plz give a step-by-step explanation plz I have been stuck on this for so long
Answers
Answer:
14
Step-by-step explanation:
280 divided by 20 is 14 when you divide by those 2 numbers you get how much they would cost. also 14x20 is 280
Help me with IXL please
Answers
Answer:
-2.173
Step-by-step explanation:
Anna reads 140 pages in 7 hours.
What proportion shows how long it would take her to read a book that is 320 pages long?
Answers
Answer:
Step-by-step explaination
STOP CHEATING AND DO IT URSELF
Answer:
25.7142857143 or 25.71
Step-by-step explanation:
320-140=180/7 hours = 25.7142857143 or 25.71
WILL GIVE BRAINLY PLS 2 PEOPLE ANSWER
Answers
Answer:
the slope is 6
Step-by-step explanation:
Answer:
Equation: y = 3x + 9
Step-by-step explanation:
To find equation:
Take two coordinates: ( 1 , 12 ) , ( 2 , 15 )
Secondly find slope: ( y2 - y1 ) / (x2 - x1 )
Using the formula: ( 15 - 12 ) / ( 2 - 1 )
: 3 ............this is our slope, m
Using formula to find equation: y - y1 = m ( x - x1 )
: y - 12 = 3 ( x - 1 )
: y = 3x - 3 + 12
: y = 3x + 9 .....our final answer.
The equation in slope intercept form is y = 3x + 9
one equation in a system of equations is y = 3/4x - 1. For which second equation would the system have exactly one solution? choose ALL that apply.
A. y = 3/4x - 1/4
B. y = 6x + 5
C. y = 4/3x - 8/3
D. y = 3/4x + 1/2
E. y = 2x - 7
Answers
Answer:
ace
Step-by-step explanation:
PLEASE HELPPP AND EXPLAIN
Maggie is taking out a student loan for $2,600. She plans on paying off the
loan in 3 years. At the end of 3 years, Maggie will have paid $390 in interest.
What is the simple interest
Answers
Answer:
5%
Step-by-step explanation:
Let the interest rate be x100
So we have for simple interest: x100×$2600=$390
This is the same as: ddddddddddx×$2600100=$390
x×$2600100=$390
Divide both sides by $26.
x×$26$26=$390$26
x×1=$390$26
x=15
But x is from x100
The % symbol is like a unit of measurement and one that is worth 1100
So 15100d→d15×1100d→d15×%→15%
But this is over 3 years so the annual interest rate is d15%3=5%
write the missing ratio number 2: =10:25
write the missing ratio number 6:4=3:
write the missing ratio number16: =4:7
write the missing ratio number :3=42:18
write the missing ratio number 15:21= :7
write the missing ratio number :48=9:6
Answers
Answer:
1. 2:5=10:25
2. 6:4=3:2
3. 16:49=4:7
4.7:3=42:18
5.15:21=3:7
6.72:48=9:6
The square of a number is 12 less than the sum of 34 and 42 . What is the number?
Answers
Answer: 8
Step-by-step explanation: 34 + 42 = 76
76 - 12 = 64
square root of 64 = 8
:)
A student made an error when evaluating the following expression. He started with 8^-3 and then made a mistake on the right side. Describe the error and explain what the student should have done .
8^-3=(-8)•(-8)•(-8)
Answers
Answer:
The student should have done -8 times it self 3 times because that is what the means.
Step-by-step explanation:
Let A be the total number of apples that Anya bought. Write an equation to show how to find A
Answers
We have that the equation to show how to find A is mathematically given as
A=x/y
From the question we are told
Let A be the total number of apples that Anya bought. Write an equation to show how to find A
ArithmeticGenerally the equation for the the total number of apples that Anya bought is mathematically given as
If An apple cost x=2$
and Anya had y=10 $
Therefore
A=x/y
For more information on Arithmetic visit
https://brainly.com/question/22568180
Haydn made a scale model of a building. The actual height of the building is 75 feet. Haydn's model used a scale in which 1.5 inch represented 30 feet. what is the height in inches of haydn's model ?
Answers
Answer:
3.75
Step-by-step explanation:
1.5 equals 30 ft so x2 equals 60 then 15 is half of 20 so half of 1.5 in is .75 so 3 plus .75
Daniel and Amber each solved the inequality -4(1.5 + 2n) 2 -24. Their work is
shown below. Why are both strategies correct? Explain your reasoning.
Answers
Answer:
b
Step-by-step explanation:
bbbb
1. Two students are reading a novel. Ashely reads 10 pages a day. Carly reads 8 pages a day, but he starts sooner and has already read 40 pages.
Part A: Write a system of equations to represent the situation, using d for days and p for pages
Answers
Answer:
Step-by-step explanation:
STOP CHEATING AND DO IT URSELF
what is the measure of x if you have 4x +x = 180
Answers
Answer:
36
Step-by-step explanation:
4x +x = 180
5x=180
x=180/5
x=36
The fine schedule for overdue books at the county library is modeled by the values in the table.
Library Fines for Overdue Books
Days overdue
Amount of fine
0
0 ¢
2
5 ¢
4
10 ¢
6
15 ¢
8
20 ¢
10
25 ¢
Which equation best models the fine schedule for overdue books?
y = five-halves x, where x is the cost in cents for a book that is y days overdue
y = five-halves x, where y is the cost in cents for a book that is x days overdue
y = 5 x, where x is the cost in cents for a book that is y days overdue
y = 5 x, where y is the cost in cents for a book that is x days overdue
Answers
Answer:
y = five-halves x, where y is the cost in cents for a book that is x days overdue
Step-by-step explanation:
See attachment
Answer:
y = 5\2 x, where y is the cost in cents for a book that is x days overdue
Step-by-step explanation:
