Graph the following function. Show ONE cycle. Use the graph to determine the range of the function. Is this function EVEN or ODD? y = -7 sec x
Answers
The function y = -7 sec x is an odd function. Its graph is a periodic curve that oscillates between positive and negative values. One cycle of the graph is sufficient to determine its range, which is (-∞, -7] ∪ [7, +∞).
To graph the function y = -7 sec x, we first need to understand the behavior of the secant function. The secant function, sec x, is the reciprocal of the cosine function, so its graph consists of vertical asymptotes where the cosine function equals zero. These vertical asymptotes occur at x = π/2, 3π/2, 5π/2, and so on.
The secant function has a range of (-∞, -1] ∪ [1, +∞), where it approaches negative and positive infinity as x approaches the vertical asymptotes.
Multiplying the secant function by -7 reflects the graph vertically and stretches it by a factor of 7. The negative sign flips the graph upside down, while the scalar factor of 7 increases the amplitude of the oscillations.
Since the secant function is an even function, multiplying it by -7 results in an odd function. An odd function has symmetry with respect to the origin, meaning that if (x, y) is on the graph, then (-x, -y) is also on the graph. In other words, for every x-value, there is a corresponding x-value with the opposite sign, resulting in opposite y-values. This symmetry is observed in the graph of y = -7 sec x.
To determine the range of the function, we observe that the amplitude of the graph is 7. Since the secant function has a range of (-∞, -1] ∪ [1, +∞), multiplying it by -7 stretches the range to (-∞, -7] ∪ [7, +∞). Therefore, the range of y = -7 sec x is (-∞, -7] ∪ [7, +∞).
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Related Questions
I need alottttt of hellp
Answers
The expressions that have 3 as the greatest common factor are b + 3 + 6c, 27n + 66p, and 36 - 9j + 6k.
Thus,
b + 3 + 6c - Yes
-30 - 24z - No
27n + 66p - Yes
36 - 9j + 6k - Yes
Determining the greatest common factorFrom the question, we are to determine if 3 is the greatest common factor of the given expressions
b + 3 + 6c
3(b + 1 + 2c)
The greatest common factor is 3
-30 - 24z
6(-5 -4z)
The greatest common factor is not 3. The greatest common factor is 6
27n + 66p
3(9n + 22p)
The greatest common factor is 3
36 - 9j + 6k
3(12 - 3j + 2k)
Thus, The greatest common factor is 3
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Mickey mouse travels in a maze with nine 3×3
cells. Markov Chain involved?
Answers
Yes, a Markov Chain can be used to model Mickey Mouse's travels in a maze with nine 3×3 cells.
A Markov Chain is a stochastic process that models the transition of state from one state to another, where the probability of transitioning to the next state is dependent only on the current state. Therefore, each cell can be represented as a state. The transition probability matrix for this system can be represented by a 9x9 matrix with entries Pij, which represents the probability of transitioning from state i to state j. For example, P12 represents the probability of transitioning from state 1 to state 2. By calculating the probability of transitioning from one cell to another, we can track Mickey's movements in the maze and identify which cells he is most likely to visit.
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Solve the inequality 80+10>150
I will give most Brainiest award
Answers
Answer:
90<150
Step-by-step explanation:
add 80 and 10 put it in front of 150
What is the average rate of change for this quadratic function for the interval
from x=-5 to x = -3?
-10
10
A. -16
B. -8
C. 8
D. 16
x4
Answers
The average rate of change of the function at the interval is -8
How to determine the average rate of change?The table that completes the question is added as an attachment
From the table, we have:
f(5) = -26
f(3) = -10
The average rate is then calculated as:
Rate = (f(5) - f(3))/(5 -3)
This gives
Rate = (-26 + 10)/(5 -3)
Evaluate
Rate = -8
Hence, the average rate of change of the function is -8
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how do you figure out if functions are inverses or not
Answers
Answer:
For instance, if the point (1, 3) is on the graph of the function, then the point (3, 1) is on the graph of the inverse. That is, if you start with x = 1, you will go to y = 3; then you plug this into the inverse, and you'll go right back to x = 1, where you started from.
Step-by-step explanation:
Answer:
Well, we learned before that we can look at the graphs. Remember, if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Step-by-step explanation:
Pls help urgently asap please
Answers
Answer:
expect to pay $11.49 for one medium cheese pizza
Step-by-step explanation:
subtract pizza 3 by pizza 2 to determine the extra cost of 1 topping. then, multiply that by 2 and subtract that from Pizza 1 (pepperoni and mushrooms)
19.44- 17.85=1.59
1.59×2 = 3.18
14.67-3.18=11.49
can someone please help???
Answers
Answer:
2/3
Step-by-step explanation:
.that's the answer
Explanation: the number line is split into 3 segments. 0 represents 0/3, the next one represents 1/3, the one with a point represents 2/3, and the 1 represents 3/3.
Lines will not always be written initially in y=mx+b form. Sometimes you will need to do some simple
manipulation (typically one or two steps) to rearrange into this form.
Exercise #3: For each of the following equations, rearrange them into y = mx +b form and identify the slope
and y-intercept of the line.
(a) y +2x = 7
(b) 2x+3y = 12
(c) 4x -6y = 7
Answers
Answer:
a. y = -2x + 7
b. y = -⅔x + 4
c. y = ⅔x - 7/6
Plz mark brainliest:)
ax + by = c and mx + ny = d and an # bm then these simultaneous equations have a) Only one common solution. b) No solution. c) Infinite number of solutions. d) Only two solutions.
Answers
Answer:
a) Only one common solutionStep-by-step explanation:
The first line has slope of a/b and the second one has slope of m/n.
As an ≠ bm ⇒ a.b ≠ m/n, the slopes are different.
Since the slopes are different the lines are not parallel, hence they intersect at one point.
This means there is one solution only.
ax + by = c and mx + ny = d and an # bm then these simultaneous equations have Only one common solution.
\(\sf{ }\) \(\sf{ }\)
WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY !!!
Suppose somebody writes down an equation for a 5th-degree polynomial function
in standard form and tells you that it has only one real zero (but not where it is).
They tell you that you are allowed to ask any two questions about the polynomial,
and once those two questions have been answered, you should do your best to
graph the polynomial.
Answers
Answer:
Question 1 -
What is location of one real zero?
Answer --> At , x= f we have one real zero.
Question 2 -
Whatis location of all other roots? Explain their nature ?
Explanation
Fifth order polynomial is of form :-
ax^5 + bx^4 + cx^3 + dx^2 + ex = 0
As it is one real zero , so it is of form:-
(x- f)( ax^4 + bx^3 + cx^2 + dx + e)
Question 1 -
What is location of one real zero?
Answer --> At , x= f we have one real zero.
Question 2 -
What is location of all other roots? Explain their nature ?
=>
Let us consider a 5th degree polynomial example.
1)
(x^5 -4x^4 + 3x^3 + 2x^2 + x+1 =0)
Has one real root at x = -0.577
2)
(x^5 − 4x^4 + 6x^3 − 4x^2 + x = 0)
Has one real root at x= 0
1) graph
2) graph
Step-by-step explanation:
Two machines in a car parts factory mold different parts that will eventually be put together in an assembly plant. the first machine makes a part every 12 seconds, and the second machine makes a part every 45 seconds. the quality control engineer tests these parts each time they both come out of the machines at the same time. how often does she test the parts? show your work and express your answer in minutes.
Answers
The quality control engineer will test the parts every 3 minutes.
To determine how often the quality control engineer tests the parts, we need to find the least common multiple (LCM) of the time it takes for the first machine to make a part and the time it takes for the second machine to make a part.
The first machine makes a part every 12 seconds, while the second machine makes a part every 45 seconds.
To find the LCM, we can list the multiples of each number and look for the smallest number that appears in both lists:
Multiples of 12: 12, 24, 36, 48, 60, 72, ...
Multiples of 45: 45, 90, 135, 180, 225, 270, ...
From the lists above, we can see that the smallest number that appears in both lists is 180.
Therefore, the quality control engineer will test the parts every 180 seconds.
To express the answer in minutes, we can convert 180 seconds to minutes:
180 seconds ÷ 60 = 3 minutes
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why did the chicken cross the road?;)
Answers
Answer:
To get to the other side.
Step-by-step explanation:
to get to the other side!
To be eligible for financial aid, a student must earn at most $30,000 per year.
use s to represent the yearly earnings (in dollars) of a student eligible for financial aid.
use s to represent the yearly earnings
Answers
If the eligibility criteria for financial aid for a student is that at most they earn $30,000 per year, then if s is the yearly earnings in dollars, the criteria can be expressed by s ≤ 30,000.
At most earning of $30,000 per year means that the maximum yearly earning to be eligible for financial aid is $30,000. That is the yearly earning can be less than or equal to $30,000. This can be expressed mathematically by
s ≤ 30,000
This is an inequality. As the relationship between the values is not equal, we use an inequality to describe it.
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When Mr. Shelton preheated his oven, the oven's temperature rose 3 degrees in 1/6
of a minute. At that rate, how much will the oven heat up in 1 minute?
Answers
Answer:
Step-by-step explanation:
18 degrees
16. Solve -3x2 - 9x + 12 = 0.
Answers
Given :
-3x² - 9x + 12 = 0To find :-
Value of x .Solution :-
Given equation ,
-( 3x² + 9x -12 ) = 0 3x² + 9x - 12 = 0 3x² + 12x - 3x - 12 = 0 3x ( x +4) -3( x +4) = 0 (3x -3)(x +4) = 0 x = 3/3 , -4 x = 1 , -4George is driving at an average speed of 707070 miles per hour. At this rate, how long, in minutes, will it take him to complete a 400400400-mile road trip
Answers
Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours
How long will it take the driver to complete a 400-mile road trip?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Speed = 70 miles per hourDistance traveled = 400 mileElapsed time = ?We substitute into our equation above.
Speed = Distance ÷ time
70 miles per hour = 400 mile ÷ Elapsed time
Elapsed time = 400 miles ÷ 70 miles per hour
Elapsed time = 5.7 hours
Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours.
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Https://video.link/w/vl6398cc6a3e8e2 this is the video
Math
1. What is the slope of the line in the video?
3/4
1/2
- 3/4
- 4/3
Watch this Video for Questions 1-2
What is the first step in graphing a line that has a linear equation in slope intercept form?
Plot the point on the y-intercept
Find the slope
Draw your line
Use your table
Watch this Video for Questions 3-5
Is the slope in the example in the video positive or negative?
Positive
Negative
Watch this Video for Questions 3-5
Another point that falls on this line using the linear equation y = - 3/4 x + 2
could be:
(3,4)
(4,-1)
(4,1)
(8,4)
Watch this Video for Questions 3-5
If you have a different linear equation such as
, the slope and y intercept would be which of the following?
Question 5 options:
slope: 2
y-intercept: 4
slope: 4
y-intercept: 1/2
slope: - 1/2
y-intercept: 4
slope: 1/2
y-intercept: 4
Answers
The slope of a line is the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line.
What is the slope about?In slope-intercept form, a line has equation y = mx + b, where m is the slope and b is the y-intercept.
To graph a line that has a linear equation in slope-intercept form, the first step is to determine the x and y intercepts, which are the points where the line intersects the x-axis and y-axis, respectively.
To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. Plot these two points and use them to draw the line.
An overview was given as your information is incomplete.
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Answer:
To find slope and y-intercept. Use formula y=mx+b. m= slope b= y-intercept
1.) -3/4. 2.) Find the slop. 3.) Negative. 4.) (4,-1) multiply all possibilities. example:(3,4) gives 4 = -3/4(3)+2= -2 1/4+2= -1/4
correct answer example: (4,-1) gives -1 = -3/4(4)+2= -3+2= -1
5.) slope: 1/2 y-intercept: 4
a new surgical procedure has promising results to alleviate hip pain, but a portion of patients who receive the procedure report an audible squeaking noise coming from the hip within six months. data from a follow-up study of 143 patients revealed that 10 of them could hear squeaking. if you were to construct a 99% confidence interval around the follow-up study point estimate, what would be e, the margin of error, or half-width of the confidence interval? since the sample size is so large, you can reference the z distribution to determine a critical
Answers
The margin of error of the 99% confidence interval is given as follows:
0.0549 = 5.49%.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
The margin of error is given as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The parameters for this problem are given as follows:
\(n = 143, \pi = \frac{10}{143} = 0.0699\)
Hence the margin of error is of:
M = 2.575 x sqrt(0.0699 x 0.9301/143)
M = 0.0549 = 5.49%.
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why is 3 plus pi irrational?
Answers
Answer:
3 + \(\pi\) is irrational, as \(\pi\) is an irrational number in itself, not being able to change into a fraction as it is a non-terminated number.
~
write the factorization of 9xy squared
Answers
Answer:
3 X 3 X x X y X y
Step-by-step explanation:
3.3.x.y.y
both are correct
Chloe swam "n" number of laps to raise money for her school. Friend a donated $20 + $1.25 for every lap Chloe swim friend B donated $15 +2 dollars and 50 Cent for every lap Chloe swim friends she donated $40 +1 dollar and 50 Cent for every lab Chloe sweat friend Dee donated $25 plus $1.75 for every lap Chloe‘s swim
Answers
Answer:
Chloe will earn $100 outright plus $7 dollars for every lap she swims for her school.
Step-by-step explanation:
what is 1 and 2/5 as an improper fraction
Answers
Answer:
\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)
Step-by-step explanation:
\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)
What is the difference of the lengths of and ? use the value = 3. 14, and round the answer to two decimal places. a. 1. 25 units b. 1. 57 units c. 2. 56 units d. 2. 84 units.
Answers
The difference of the lengths of BD and CE is 1.57 units
The correct answer is an option (b)
In this question we need to find the difference of the lengths of BD and CE
Consider the following figure.
We know that the formula for arc length is given as:
Arc Length = (θ/360) * 2πr
CE falls in the larger circle whose radius would be,
AB + BC = 6+2
=8 units
BD falls in the smaller circle whose radius is AB = 6 units
Now, using above formula,
Arc length of BD = (45/360) * 2 * 3.14 * 6
= 4.71
Arc length of CE = (45/360) * 2 * 3.14 * 8
= 6.28
The difference in CE and BD is:
6.28 - 4.71 = 1.57
Hence, the required difference = 1.57 units
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of west. What is the distance between the two aircraft? (Place the x axis west, the y axis south, and the z axis vertical.) km
Answers
The distance between the two aircraft is: 2.29 km.
We have to find the vector from the ground under the controller of the first airplane
The position vector from ground of first plane is
\(r_1=(19.2km)(cos25 ^\circ)i +(19.2km)(sin25 ^\circ)j+(0.8km)k =(17.4i+8.11j+0.8k)km\)
The position vector of second plane is:
\(r_2=(17.6km)(cos20 ^\circ)i +(17.6km)(sin20 ^\circ)j+(1.1km)k =(16.5i+6.02j+1.1k)km\)
Finding the displacement from the first plane to second
The displacement from the first plane to the second plane is:
\(r_2-r_1=(-0.863i-2.09j+0.3k)km\)
with magnitude :
\(= > \sqrt{(0.863)^2+(2.09)^2(0.3)^2}km=2.29km\)
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The given question is incomplete, complete question is:
An air-traffic controller observes two aircraft on his radar screen. The first is at altitude 800m, horizontal distance 19.2km, and 25.0 degree south of west. The second aircraft is at altitude 1100m, horizontal distance 17.6km, and 20.0 degree south of west. What is the distance between the two aircraft? (Place the x axis west, the y axis south, and the z axis vertical.)
Melissa wants to put a ribbon border around a sign in her classroom shaped like the right
triangle below. If ribbon costs $0.82 cents per foot, how much will it cost her to buy the ribbon for her sign
Answers
Answer:
$19.68 for each foot
Step-by-step explanation:
Answer:
$19.68
Step-by-step explanation:
no <3
Erin scored 15 fewer points than Sophia, who scored 35 points. Ella scored half as many points as Erin. How many points did Ella score
Answers
Answer:
Ella scored 10 points.
Step-by-step explanation:
35 - 15 = 20
20/2 = 10
The sum of the first n terms of an arithmetic sequence is given by Sn= n^2-2n. What is the first term and the common difference?
Answers
The given formula for the sum of the first n terms of an arithmetic sequence is Sn = n^2 - 2n. To determine the first term and the common difference of the arithmetic sequence, we can analyze the given formula.
The sum of an arithmetic sequence is given by the formula Sn = (n/2)(2a + (n-1)d), where a is the first term, d is the common difference, and n is the number of terms.
Comparing the given formula Sn = n^2 - 2n with the formula Sn = (n/2)(2a + (n-1)d), we can see that n^2 - 2n is equivalent to (n/2)(2a + (n-1)d). By equating the corresponding terms, we have the following equations:
n = n/2 (for the first term)
-2 = 2a + (n-1)d
From the first equation, we find that n = 2. Substituting this value of n into the second equation, we have -2 = 2a + (2-1)d, which simplifies to -2 = 2a + d. Therefore, the first term of the arithmetic sequence is a = -1, and the common difference is d = -3.
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*WILL MARK BRAINLIEST!!!!!!*
Answers
Answer:
y=1
Step-by-step explanation:
The value of y where the function is undefined
Can anyone help me with this geometry question please
Answers
The radius of the circle is approximately 22.9 meters when rounded to the nearest tenth.
How to Calculate Radius of a Circle with Given Arc Length?To find the radius of the circle, we need to use the formula:
arc length = radius x central angle (in radians)
Since the central angle is given in degrees, we need to convert it to radians by multiplying it by π/180.
First, let's convert the central angle:
258° x π/180 ≈ 4.5 radians
Now we can plug in the values into the formula and solve for the radius:
102.9 = r x 4.5
r = 102.9 / 4.5
r ≈ 22.9
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solve by substitution y=2x-1 y=3x+1
Answers
Step-by-Step Explanation:
Since the two expressions both equal y, you can set them equal to each other.
2x-1 = 3x+1
Subtract 2x from both sides.
-1 = x+1
Subtract 1 from both sides.
-2 = x