The ratio of two polynomial functions with a non-zero denominator is known as a rational function. R(x) = P(x)/Q(x), where P(x) and Q(x) are polynomial functions, is the typical way to describe it. We studied the idea of the rational number in previous grades. It is the ratio or product of two integers with a non-zero denominator. As a result, the word ratio is where the name rational comes from.
a. A rational function with a hole at x = 1 and a vertical asymptote at x = -3 can be written as:
(x-1)/(x+3)
b. A rational function with a vertical asymptote at x = -2 and a horizontal asymptote at y = 3 can be written as:
(x+2)/(x+2) = 3
c. A rational function with an oblique asymptote y = x+1 but no vertical asymptote can be written as:
(x-1)/(x-1) = x+1
d. A rational function with a vertical asymptote at x = 3 and f(x) > 0 can be written as:
(x-3)/(x-3) > 0
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HELP ASAP!!!! 20 POINTS!!
Answer:
Can you upload this as a jpg, I can't open it to asnwer. Also, you listed 10 points not 20.
Step-by-step explanation:
Name: LESTER GREEN Class: NIGHT SCHOOL Complete with the missing letters and then colour. ED BAK _LU GRE_ W_ _TE PN B_O_N GR. N. a ELL__ RE_ OR N E PURP__ i havourite Colours
10. A large shipment of video streaming devices is accepted upon delivery if an inspection of 20 randomly selected video streaming devices yields no more than 1 defective item. a. Find the probability that the shipment is accepted if 3% of the total shipment is defective. b. Find the probability that the shipment is accepted if 15% of the total shipment is defective.
Answer:
a) 0.8802 = 88.02% probability that the shipment is accepted
b) 0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.
Step-by-step explanation:
For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of any other item. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20 randomly selected video streaming devices
This means that [tex]n = 20[/tex]
a. Find the probability that the shipment is accepted if 3% of the total shipment is defective.
3% defective means that [tex]p = 0.03[/tex]
Probability of at most 1 defective is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.03)^{0}.(0.97)^{20} = 0.5438[/tex]
[tex]P(X = 1) = C_{20,1}.(0.03)^{1}.(0.97)^{19} = 0.3364[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5438 + 0.3364 = 0.8802[/tex]
0.8802 = 88.02% probability that the shipment is accepted.
b. Find the probability that the shipment is accepted if 15% of the total shipment is defective
Now [tex]p = 0.15[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.15)^{0}.(0.85)^{20} = 0.0388[/tex]
[tex]P(X = 1) = C_{20,1}.(0.15)^{1}.(0.85)^{19} = 0.1368[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0388 + 0.1368 = 0.1756[/tex]
0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.
Suppose you invest $150 a month for 3 years into an account earning 7% compounded monthly. After 3 years, you leave the money, without making additional deposits, in the account for another 23 years. How much will you have in the end?
Answer: You would have $109,802.56 in the end.
Step-by-step explanation:
circle A and circle b are two different circles find the missing values on this table (look at the image)
(i) Given radius r = 15 cm ∴ diameter d = 2 x 15 = 30 cm Circumference C = πd units = 227227 x 30 = 66076607 = 94.28 cm (ii) Given circumference C = 1760 cm 2πr = 1760 2 x 227227 x r = 1760 r = 1760×72×221760×72×22 = 160×72×2160×72×2 = 40 x 7 = 280 cm Diameter = 2 x r = 2 x 280 = 560 cm (iii) diameter d = 24m radius r = d2d2 = 242242 = 12 m Circumference C = 2 πr units = 2 x 227227 x 12 = 52875287 = 75.4 m Tabulating the results S. No. radius (r) diameter (d) circumference (C) (i) 15 cm 30 cm 94.28 cm (ii) 280 cm 560 cm 1760 cm (iii) 12 m 24
a bit messy sorry for that
What is the answer please help
Answer:
7
Step-by-step explanation:
Mode is the value that appears most often. 7 appears the most often in this list.
What is the value of the expression: 2-7-(-8) + -10
Answer:
-7
Step-by-step explanation:
Answer:
-7
Working:
2-7-(-8)+ (-10)
=2-7+8-10
=-7
Find f(-3) if f(x) = x 2.
A) 6
B-9
C)9
D-6
Answer: f(-3)=(-3)^2
f(-3)=9
the answer is C
Step-by-step explanation:
ye I don’t so any of y’all got the answer?
PLEASE HELP
3/4x - 7 = 3 (1/6x +1)
Solve the linear equation and determine whether it’s one solution or infinite solution or no solution
Answer: one solution
Step-by-step explanation:
CONCEPT:
- One solution is when the final variable would be able to find a solution.
- Infinite solution is when the equations result in 0=0, meaning any number will fit
- No solution is when the equation results in both sides on equal.
SOLVE:
Given
3/4x-7=3(1/6x+1)
Expand Parenthesis
3/4x-7=1/2+3
Multiply both sides by the LCM of fractions (Least Common Multiple)
4(3/4x-7)=4(1/2x+3)
3x-28=2x+12
Subtract both sides by 2x
3x-28-2x=2x+12-2x
x-28=12
Add both sides by 28
x-28+28=12+28
x=40
Since we are able to get exactly one solution, there is only one solution.
Hope this helps!! :)
Please let me know if you have any quesionts
HELP!!!!!!ASAP!!!!!!
Answer:
Im only in middle school, sorry
Step-by-step explanation:
I have tips tho!
always write information down, only useful ones, and not like "jimmy love to play basketball" kin of stuff.
Think it through, dont just guess.
Hope this helps i guess,
-yuko
Which equation shows that 8 is a factor of 32?
Choose 1 answer:
(Choice A)
32 = 8 + 24
(Choice B)
32 = 40 - 8
(Choice C)
32=256÷8
(Choice D)
32=8×4
Answer:
D
Step-by-step explanation:
A factor is when you divide a number and get no remainders. D shows that 8*4 is 32, meaning that 32/8=4.
6) Four bacteria are placed in a petri dish. The population will double every day. The formula for the
number of bacteria in the dish on day tis
N(t) = 4(2)^t
where t is the number of days after the four bacteria are placed in the dish. How many bacteria are
in the dish five days after the four bacteria are placed in the dish?
Answer:
128
Step-by-step explanation:
N(t) = 4(2)^t
N(t) = 4(2)^5
N(t) = 4(32)
N(t) = 128
The number of bacteria that are
in the dish five days after the four bacteria are placed in the dish is; 128 bacteria
We are given the formula for the
number of bacteria in the dish on day as;
N(t) = 4(2)^t
Where t is number of days after the four bacteria are placed in the dish.
Now we are told tof find the number of bacteria in the dish after 5 days.
Thus, we would put 5 for t in the given equation to get;
N(5) = 4(2)^5
N(5) = 4(32)
N(5) = 128
Read more about exponential growth at; https://brainly.com/question/23766914
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Answer:
the answer is 7 feet
Step-by-step explanation:
28/4=7
Solve equation by using the quadratic formula.
2x? + 13x = 0
Answer:
c
Step-by-step explanation:
The equation shown has an unknown number. Write a fraction that makes the equation true.
? + 2/3 = 3/4
Someone help me with this please I will mark Brainliest if correct.
Answer:
Add the formula do the math!
I will give you the answer later!
P.s maybe after you tell me if you figured it out!
Step-by-step explanation:
Have a great week!
Hope i helped! <3
Tell me if so!
Your welcome!
Byes! :)
-Sincerely, Brainliest!
Last week, Sue worked 7.5 hours each day on Monday and Tuesday and 6.5 hours each day on Wednesday, Thursday, and Friday. She did not work on Saturday or Sunday. If she is paid $6 an hour, how much did she earn last week? Sue earned $ last week.
Answer:
$207
Step-by-step explanation:
Calculate how nany hours Sue worked last week:
7.5 + 7.5 + 6.5 + 6.5 + 6.5
34.5 hours total
Now calculate her total income for last week:
34.5 hours × $6
$207
help plz its a mathematical punnet square
Answer:
X 2 -7
-9 -18 126
3 -54 -6,804
1944 7.71
0.00396604938
Step-by-step explanation:
I tried. Sorry if it's wrong I've never done a mathematical punnet square before.
giving out brainliest answer !!!! help me out asap please !!!!
Answer:
8.07
Step-by-step explanation:
sin(48)=x/6
6sin(48)=x
x+y+z=9
x-y-z=-1
x-y+z= 21
Which value is not in the solution, (x,y,z), of the
system?
1) -8.
2) ---6
3) 11
4) 4
the answer is (-8) because x=4, y=-6, z=11
These consists of more than 1 equation with unknown variables. The value that is not a solution in (x,y, z)is -8
System of equationsThese consists of more than 1 equation with unknown variables. Given the set of equations
x+y+z=9
x-y-z=-1
x-y+z= 21
Add 1 and 2
2x = 9 - 1
2x = 8
x = 4
Subtract 2 and 3
-2z = -22
z = 11
Determine the value of y
x +y + x = 9
4 + y + 11 = 9
y = 9 - 15
y = -6
Hence the value that is not a solution in (x,y, z)is -8
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Find the measures of the numbered angles in each kite.
Answer:
x = 15
y = 13
Step-by-step explanation:
6x - 4 = 5x + 11
x = 15
4y + 3 + 3y + 86 = 180
7y = 91
y = 13
Simplify the following expressions by combining like terms. Then, tell if the expressions are equivalent.
3r + 10 + r -8 and 8 + 2(2r) - 6
Answer:
2+4r. Expressions are equivalent.
Step-by-step explanation:
3r + 10 + r -8Multiply r and 3
Multiply r and 1
The r just gets copied along.
The answer is r
r
3*r evaluates to 3r
3*r+10 evaluates to 3r+10
3r + r = 4r
The answer is 4r+10
3*r+10+r evaluates to 4r+10
10 - 8 = 2
The answer is 2+4r
3*r+10+r-8 evaluates to 2+4r
The final answer is
2+4r
8 + 2(2r) - 6
Multiply r and 2
Multiply r and 1
The r just gets copied along.
The answer is r
r
2*r evaluates to 2r
Multiply 2 and 2r
Multiply 1 and r
The r just gets copied along.
r
2*(2*r) evaluates to 4r
8+2*(2*r) evaluates to 8+4r
8 - 6 = 2
The answer is 2+4r
8+2*(2*r)-6 evaluates to 2+4r
The final answer is
2+4r
Find the value of x. Round to the nearest degree
Answer:
27.81 is the answer so round up to 28
Step-by-step explanation:
you need to find inverse sine of 7÷15 to find x
Which best describes the solutions to the system?
x + y=− 4
−2x − 2y =0
A one solution
B (0,0)
C no solution
D infinitely many
Answer:
A best descibes it as we can say its the only answer
Step-by-step explanation:
using symaltaneous equation is the only way to solve it
-2/3 over 15 simplfied
Answer:
Hi! The answer to your question is -10
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
−4x + 2y < 10 in slope intercept
Answer:
y < 2x + 5
Step-by-step explanation:
The format for slope intercept is y = mx + b. In this case, it is y < mx + b. Your equation is -4x + 2y < 10. First, start by adding 4x to -4x. This gets rid of that number on the left so it can just be 2y. Now, add that 4x to the right side of the equation. You are left with 2y < 4x + 10. The final step is to divide 2 from 2y. Since you are doing this step on the left side of the equation, you must now do it to the right. After also dividing 2 from 4x and 10, your final answer is y < x +5.
POINTS UP FOR GRABS TAKE IT QUICK
Answer:
omg
Step-by-step explanation:
wowo .. . . . . . . . . . . . . . . . .
Answer:
Thanks so muchhh!! I'm really bad at math so I post questions alot so I dont have many points often. :)
Two investments totallng $47,500 produce an annual income of $3000. One investment ylelds 9% per year, while the other yields 6% per year. How much is invested at each rate?
Answer:
The correct answer is "$5000".
Step-by-step explanation:
The given values are:
Two investments totaling,
= $47,500
Annual income,
= $3000
One investment yields per year,
= 9%
Other yield,
= 6%
Let,
The amount invested in 9% will be "x".The amount invested in 6% will be "[tex]47,500-x[/tex]".Now,
⇒ [tex]0.09x+0.06(47,500-x)=3000[/tex]
⇒ [tex]0.09x+2850-0.06x=3000[/tex]
⇒ [tex]0.03x+2850=3000[/tex]
⇒ [tex]0.03x=150[/tex]
⇒ [tex]x=\frac{150}{0.03}[/tex]
⇒ [tex]x=5000[/tex]
A pillow that usually costs $18 is marked down 25%. Which expressions can be used to find the new price of the pillow? Check all that apply.
18 – 0.25(18)
18 – 0.75(18)
0.25(18)
0.75(18)
18(0.25) + 18
Answer:
a and d
Step-by-step explanation:
brainliest if you want :)
Answer:
A or 18 – 0.25(18)
and
D or 0.75(18)
Step-by-step explanation:
Have great rest of your day. I know this works because I got it correct on the assignment. Good luck! :)