1) Consider the function f(x) = 3 +8/x^-2
a. Where is f(x) going to have discontinuities and how do you know?
b. What is the y-intercept for f(x) and how do you know?
c.
What is the x-intercept for f(x) and how do you know?
d. What is the end behavior for f(x) and how do you know?
No links or anything like that.
Answers
9514 1404 393
Answer:
a. no discontinuities
b. (0, 3)
c. none
d. f(x) → +∞ for |x| → ∞
Step-by-step explanation:
The function written in this problem statement is ...
[tex]f(x)=3+\dfrac{8}{x^{-2}}=8x^2+3\qquad\text{a quadratic function}[/tex]
a) Polynomial functions of any degree have no discontinuities.
__
b) f(0) = 3. The y-intercept is (0, 3).
__
c) x² is always positive, so there are no x-intercepts
__
d) The leading coefficient of this even-degree polynomial is positive, so f(x) tends toward +∞ as |x| tends toward ∞.
Related Questions
The perimeter of the triangle below is 80 units. Find the length of side PR
Answers
Answer:
32
Step-by-step explanation:
The perimeter is equal to sum of side lengths
4x + z + 3 + 5z - 3 = 80 add like terms
10z = 80 divide both sides by 10
z = 8 PR is 4z so 8*4 = 32
simplify -2 minus square root of 15 over 2
Answers
Determine whether each ordered pair is a solution to the inequality x+y>−2.
(10,−1)
(−8,9)
(−1,−9)
(6,−3)
(7,−9)
Answers
===================================
Explanation:
If we plug the coordinates of point A into the inequality, then we get
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
which is false
You should find that choice E is false as well.
---------------------
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
Trisha took 3.25 minutes to complete the race an Rachel took 3.207 minutes to complete the race who won the race
Answers
Answer: trisha won the race
Step-by-step explanation:.25 > .207
Answer:
Rachel
Step-by-step explanation:
Under an insurance policy, a maximum of five claims may be filed per year by a policyholder. Let Pn be the probability that a policyholder files n claims during a given year, where n 0,1,2,3,4,5. An actuary makes the following observations:
i) Pn≥ 2pn+1 for n= 0, 1,2, 3,4
ii) The difference between pn and pn+1 is the same for n 0,1,2, 3,4
iii) Exactly 40% of policyholders file fewer than two claims during a given year Calculate the probability that a random policyholder will file more than three claims during a given year.
A) 0.14
B) 0.16
c) 0.27
D) 0.29
E) 0.33
Answers
Lana and Jeff each randomly surveyed 15 students about their favorite types of movies. Are these samples representative of the school population? Explain.
No, the samples are not large enough to be representative.
Yes, both samples are random, so they are representative.
No, the samples might include some of the same people, so they are not representative.
Yes, the samples do not include the same people, so they are representative.
Answers
Answer:
D but see below.
Step-by-step explanation:
This question is badly thought out. 15 might be enough to be representative if the school only contains about 100 people.If B is true then it would be the answer.If D was true, it would be the answer. If C was true, it could be the same answer.So you have a question that has no clear answer. If Jeff took grade 11 and Lana took grade 12, that would make the answer much clearer. At least there would be no duplicates.
If you could refine the question a little more, you might get a clearer answer. I don't think this question should be asked and I sure don't think you should try and give an answer.
However that's not how schools work. So I would pick D, but by some bizarre method, the asker (like edge) might think of a way to make A B or C true.
Here is the problem
Answers
Answer:
5 =x
Step-by-step explanation:
The top and the bottom are the same length
17 = 3x+2
Subtract 2 from each side
17-2 = 3x+2-2
15 =3x
Divide by 3
15/3 = 3x/3
5 =x
Answer:
x = 5
Step-by-step explanation:
3x + 2 = 17
3x + 2 - 2 = 17 - 2
3x = 15
3x ÷ 3 = 15 ÷ 3
x = 5
Please solve this..you have to find x
Answers
Answer:
x=41/4
Step-by-step explanation:
According to the Secant Theorem, a(a+b)=c(c+d)
Therefore, 3(3+4x+12)=2(2+8x), 12x+45=16x+4, x=41/4
Step by step explanation
I need help finding the value of X.
Answers
Answer:
x=25
Step-by-step explanation:
43=2x-7 (since the midpoint separate a line into two equal halves)
43+7=2x
50/2=x
25=x
Answer:
x=25
Step-by-step explanation:
Since M is the midpoint, you can set your formula up as
43 = 2x-7
43+7=2x
50/2=x
25=x
What is the fraction: 9/8 to the 2nd power?
Answers
Answer:
9/8 x 9/8 = 81/64 in fraction form.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{81}{64}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\(\frac{9}{8})^2\\\\\text{Recall the power of a fraction rule: } (\frac{a}{b})^x =\frac{a^x}{b^x}\\\\\rightarrow (\frac{9}{8})^2 =\frac{9^2}{8^2} =\boxed{\frac{81}{64}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Help would be appreciated:)
Answers
Answer:c
Step-by-step explanation:
3 3/8- 9/8 give your answer as a mixed number
Answers
Answer:
2 1/4
Step-by-step explanation:
We have to make the first value into an improper fraction, which makes 3 3/8 into 27/8. Now we subtract 9 from 27, giving us 18. This 18 is still over the common denominator of 8. 8 goes into 18 twice with 2 left over. So we have our mixed number as 2 2/8, which can be simplified to 2 1/4.
2. To convert 3 3/8 into an improper fraction, do 24/8 + 3/8 = 27/8.
3. Now you can do 27/8 - 9/8, which is 18/8.
4. 18/8 cancels down to 9/4 if you divide both sides by 2.
5. Now, you can convert your answer into a mixed number by dividing 9 by 4 and putting the remainder over 4. 2 x 4 = 8, so you have two whole fourths and 1/4. Hence, your final answer is 2 1/4.
FYI, if you left your improper fraction as 18/8, you would still yet the same answer, because 2 x 8 = 16 and 18-16 = 2, so you would get 2 2/8, which cancels down to 2 1/4.
Hope this helped :)
Solve the equation 2/3x=-1/2x+5 what is the first step to isolate the variable term on one side of the equation
Answers
Answer:
x= 30/7
Step-by-step explanation:
See image below:)
Answer:
[tex]x=4\frac{2}{7}[/tex]Step-by-step explanation:
2/3x = - 1/2x + 5
2/3x + 1/2x = - 1/2x + 1/2x + 5
[tex]1\frac{1}{6}x=5[/tex]
[tex]\frac{1\frac{1}{6}x}{1\frac{1}{6} } =\frac{5}{1\frac{1}{6} }[/tex]
[tex]x=4\frac{2}{7}[/tex]PLEASE HELP
Solve for x: -7
06
0-6 >x>9
06 >x>-9
O-6
Question 9 Multiple Choice Worth 1 points)
Answers
Answer:
0-7
Step-by-step explanation:
89-0
If the air temperature at ground level is 30°F, the air temperature x miles high is given by T(x) = 30 - 19x. Determine the altitudes at which the air temperature is from 11°F to 1.5°F.
Answers
Answer:
21
Step-by-step explanation:
what are the best ways for your business and how do they get neck debt from the air and to get rid from a good or
solve the system of equations y=3x y=x^2-18
Answers
Answer:
Point Form:
(6,18), (-3,-9)
Equation Form:
x=6, y=18
x=-3, y=-9
Step-by-step explanation:
Solve for the first variable in the first equation, then substitute the result into the other equation.
Answer:
x=-3 , x=6
so
y=-9 or y=18
Who is Albert Einstein?
Answers
Answer:
Albert Einstein was a German mathematician and physicist who developed the special and general theories of relativity.
Hi!Albert Einstein, (born March 14, 1879, Ulm, Württemberg, Germany—died April 18, 1955, Princeton, New Jersey, U.S.), German-born physicist who developed the special and general theories of relativity and won the Nobel Prize for Physics in 1921 for his explanation of the photoelectric effect. Einstein is generally considered the most influential physicist of the 20th century.
Ashley went to a baseball game the game started at 11:37 am and it was 3 hours 50 minutes long when did the game end
Answers
Answer: The game will end at 3:27 pm.
Step-by-step explanation: 50 minutes from 11:37 am is 12:27 pm, and 3 hours from 12:27 pm is 3:27 pm.
What’s the slope and equation
Answers
Rise over run
Answer:
slope = -5 equation= y=-5x+100
Step-by-step explanation:
pick the x and y intercepts as your points to find the gradient that is
(20,0) and (0,100)
slope =∆y/∆x
=100/-20
= -5
take point(20,0) and (x,y) to find equation using the slope
equation becomes y= -5x+100
PLEASE HELP!
WILL MARK BRAINLIEST!
Find the measure of the indicated angle to the nearest degree.
Please provide an explanation, I’m trying to learn.
Answers
Answer:
B =53.15010235
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan B = 20 /15
Take the inverse tan of each side
tan ^ -1 ( tan B) = tan ^-1( 20/15)
B =53.15010235
a cylinder has slant length of 26 and radius of 10 what is the volume
Answers
Answer:
8168.14
Step-by-step explanation:
The answer is
V≈8168.14
hope this helps
please help with this
Answers
Step-by-step explanation:
f(x) =x-1 and when we put 0 from x our answer is -1 and put 1 answer is 0 ........ for this f(x) must be x-1. g(x)= f(x)+ 4
Someone pls help I don’t know how to di this
Answers
Answer:
the answer would be positive 3 over 2
Step-by-step explanation:
A rectangular auditorium seats 1564 people. The number of seats in each row exceeds the number of rows by 12. Find the number of seats in each row
Answers
Answer:
# of rows: 34
# of seats in each row: 46
Step-by-step explanation:
r - # of rows
s - # of seats in each row
r * s = 1564
s = r + 12
(34) * (46) = 1564
(46) = (34) + 12
Hope this helps!
What is the distance between the points (2, -3) and (-6, 4) on the coordinate
plane?
A. 4.12 units
B. 3.87 units
C. 10.63 units
D. 8.06 units
Answers
Answer:
C) 10.63 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(-6-2)^2+(4-(-3))^2}[/tex]
Simplify:
[tex]d=\sqrt{(-8)^2+(7)^2}[/tex]
Evaluate:
[tex]d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}[/tex]
Our answer is C.
What is the 7th term in the sequence?
an=30−4n
Answers
Answer:
2
Step-by-step explanation:
Just substitute in 7 for the n.
30-4(7)
30-28
2
The 7th term in the sequence is 2.
If Shelly types 238 words in seven minutes, then how many words will she type in 17 minutes? Let the relationship between the number of words and time be directly proportional.
please help!
Answers
List all the factors of 9. The factors of 9, from least to greatest, are and
Answers
Answer:
1 9 3
Step-by-step explanation:
i think only this much
Answer:
1,3 and 9
As Nine is divisible by 1,3 and 9
simplify: x0 y-3 / x2 y-1
Answers
[tex] \frac{x {}^{0}y {}^{ - 3} }{x {}^{2}y {}^{ - 1} } \\ = \frac{1y {}^{ - 3} }{ {x}^{2}y {}^{ - 1} } \\ = \frac{1 \times 1}{ {x}^{2} y {}^{2} } \\ \\ = \frac{1}{ {x}^{2}y {}^{2} } [/tex]
Step by Step Explanation:
Evaluate the power: Any non-zero expression raised to the power of 0 equals 1Simplify: Simplify the expressionCalculate the product: Any expression multiplied by 1 remains the same. ☆彡Hanna#CarryOnLearning
What are 3 attributes of a Square based pyramid
Answers
Answer:
It has 5 Faces.
The 4 Side Faces are Triangles.
The Base is a Square.
It has 5 Vertices (corner points)
It has 8 Edges.
Step-by-step explanation:
btw you can choose 3
