The y-intercept of g(x) is (0, -3) and there are no asymptotes for g(x).
The function is given as g(x) = 2x - 3 and we need to find the y-intercept and the asymptote of this function g(x).
What are the y-intercept and asymptotes of a given function?Y-intercepts of a given function are the points on the y-axis that the given function passes through.
In y-intercept points we always have x=0.
Asymptotes are straight lines on the graph that meets the given function as it moves towards infinity.
Asymptotes occur only when the given function is a rational function or when one term of the function approaches zero as one term approaches infinity.
Find the y-intercept of g(x).
We have,
g(x) = 2x - 3
Since x = 0.
we get,
g(x) = 0 - 3
g(x) = -3 or y = -3
Thus the y-intercept of g(x) is (0, -3)
Find the asymptotes of g(x).
We see that g(x) is not a rational function and when x approaches infinity g(x) does not approach zero.
Hence we can say that g(x) has no asymptotes.
The y-intercept and asymptotes of g(x) are (0, -3) and no asymptotes.
Learn more about asymptotes of a given function here:
https://brainly.com/question/27861449
#SPJ5
To find the y-intercept of g(x), we set x = 0 and solve for y:g(0) = 2^0 - 3 = -2Therefore, the y-intercept of g(x) is (0, -2).To find the asymptote of g(x), we take the limit of g) as x approaches negative or positive infinity:lim x→-∞ 2^x - 3 = -3 (the asymptote is y = -3 as x approaches negative infinity)lim x→+∞ 2^x - 3 = +∞ (the graph of g(x) goes arbitrarily high as x approaches positive infinity, so there is no horizontal asymptote)Therefore, the asymptote of g(x) is y = -3.
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X=14), n=15, p=0.8
Use the PMF for the given distribution:
[tex]P(X=x) = \begin{cases}\dbinom{15}x 0.8^x (1-0.8)^{15-x} & \text{if } x \in\{0, 1, 2, \ldots, 15\} \\ 0 & \text{otherwise}\end{cases}[/tex]
Then the probability that X = 14 is
[tex]P(X=14) = \dbinom{15}{14} 0.8^{14} 0.2^1 \approx \boxed{0.1319}[/tex]
can you please help me? 2.1.5
[tex]~Ab_1\\\\\\=\begin{bmatrix} -2&2\\ 1&4\\ 5&-3 \end{bmatrix}\begin{bmatrix} 3\\-2 \end{bmatrix}\\\\\\=\begin{bmatrix} -6-4\\3-8\\15+6 \end{bmatrix}\\\\\\=\begin{bmatrix} -10\\-5\\21 \end{bmatrix}[/tex]
In a P.7 class, 20% of the boys were absent for the Mock Examinations, of the remainder of the boys were present Find the fraction of the girls in the class.
A shirt and a tie together cost $58 the shirt cost $30 more than the type what is the cost of the shirt and dollars
Answer:
Shirt + tie = $ 58
shirth = 30 more than that of tie
let the price of tie be X
therefore the price of shirt = 30 + X
30 + X + X = 58
30 + 2x = 58
2x = 58 - 30
2x= 28
x = 14
x + 30
= 14 + 30
Cost of tie = $14 Cost of shirt = $445 Keisha needs postage stamps to mail
invitations for her birthday party to
9 friends. If stamps cost 45¢ each, how
much will it cost Keisha to mail the
invitations?
LA
$
Answer:
$4.05
Step-by-step explanation:
45 x 9 = 4.05
A bank pays interest rate of 15% per annum on the savings in a customers account. calculate the total amount in a customers saving account at the end of the year
Answer:
Matty is the most precious ma ma ta the best I don't think so I can see good
Mario invested a certain amount of money in selling a fish balls. After 3 weeks, he counted his money and found out that he had 900 which was 2255 of what he originally had. How much did he invest?
Answer:
[tex]5.3 \times 105 - 2.4 \times 104[/tex]
What is the median of 3,4,5,5,7,8
Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time.
The recursive function that gives the number of books Ashley has at any time is
=
, starting at
.
The recursive function that gives the number of books Ashley has at any time is f(t) = f(t-1) - n where f(0) =100
How to determine the recursive function?The given parameters are:
Initial = 100
Rate per week, r = n
The initial number of books means that:
f(0) = 100
The rate of n means that Ashley has n less books each week.
So, we have:
f(t) = f(t-1) - n
Where t represents the number of weeks
Hence, the recursive function that gives the number of books Ashley has at any time is f(t) = f(t-1) - n where f(0) =100
Read more about sequence at:
https://brainly.com/question/6561461
#SPJ1
Evaluate this exponential expression 7 • (6+2)^2 - 3^2=
Answer: 441
Step-by-step explanation:
[tex]7*(6+2)^2-3^2[/tex]
[tex]7*8^2-3^2[/tex]
[tex]7*64-9[/tex]
[tex]448-9[/tex]
441
Please Answer Fast
Find the length of the hypotenuse.
Answer:
c2= 55
Step-by-step explanation:
c2=a2+b2
=33^+44^
= 3025
or,c2=(55)2
:c=55
Answer:
H = 55
Step-by-step explanation:
Base = 33Hypotenuse = ?Altitude = 44Applying Pythagoras' theorem,we obtain
(H)² = (B)²+(A)²(H)² = (33)² + (44)²(H)² = 1089 + 1936(H)² = 3025(H) = √(3025)H = √(55*55)H = 55Hence,the length of hypotenuse is 55.
Change 0.45° to equivalent minutes and seconds. Round to the nearest second if necessary.
0.45° in minutes is 27.36 minutes and in seconds is 21.6 seconds.
Why is it necessary to divide decimal degrees by 60 to obtain minutes and seconds?
In a complete rotation, circles and spheres have 360 degrees. One degree is divided into sixty minutes, and one minute is divided into sixty seconds. You may see that your measurement is 91 full degrees plus 0.456 of a degree if you have 91.456 degrees.How 0.45° is converted to equal minutes and seconds?
To convert 0.456 degrees to minutes, multiply 0.456*60 and you will get the answer as 27.36 minutes. You now have a total of 27 minutes and 0.36 of a minute.To express 0.36 minutes seconds in decimal form, multiply 0.36*60 to get 21.6 seconds. You can round up to twenty two seconds because your decimal 0.6 is bigger than 0.5.To learn more about minutes and seconds conversion, refer
https://brainly.com/question/2144524
Find f(3) if
f(x)=x^3+2x^2-x-1
Answer:
41
Step-by-step explanation:
[tex]f(x) =x^3 +2x^2 -x -1\\\\f(3) =3^3 +2(3^2) -3 -1\\\\~~~~~~~=27+18-4\\\\~~~~~~~=27+14\\\\~~~~~~~=41[/tex]
Help, and if you can give me a step by step explanation
Answer:
the first option
Step-by-step explanation:
variability !
what does that word tell us ?
it means that there are more individuals differences.
you could also use "accuracy" as the opposite - we are aiming for the mean value ...
imagine some bow and arrow tournament.
who wins ?
the person with the highest accuracy across all the attempts (and that means the lowest variability in the results across all attempts relatively to the target center representing the predefined mean value).
now look at the graphic for neighborhood A.
and then for neighborhood B.
which one has the data points more clustered around the center (where the mean value is going to be) ? this one has lower variability than the one where the data points are having more than one cluster or are even all over the place.
remember, for the variability you have to add all the differences to the mean value. the smaller the differences to the mean value, the smaller the variability.
in neighborhood B almost all data points have a larger difference to the mean value.
so, the variability will be higher here.
calculate the sum of the following series 17+51+153+…334611
Answer:
Ans=...334832 can be your questions answer
See attached. Thank you for your help.
Answer:
76
Step-by-step explanation:
when i text my boy he is ute
An investor earns 12.49 percent before tax and is subject to a 32 percent tax on such earnings. Calculate the investor's after-tax rate of return.
Answer:
How do you calculate after tax rate of return?
After-tax return on investment is the net return to the investor after ordinary income and capital gains taxes are subtracted. This is calculated as: After-tax return on investment = ((P1 - Po) (1 - Tc) / Po) + C1(1 - To) / Po.
How do you calculate before tax return?
The pre-tax rate of return is calculated as the after-tax rate of return divided by one, minus the tax rate. For example, suppose a person obtains a 4.25% reporting rate for ABC shares and is subject to a 15% income tax. Therefore, the pre-tax rate of return is 5% or 4.25%/(1 - 15%).
How do you calculate real rate of return after tax and inflation?
To calculate the real rate of return after tax, divide 1 plus the after-tax return by 1 plus the inflation rate. Dividing by inflation reflects the fact a dollar in hand today is worth more than a dollar in hand tomorrow. In other words, future dollars have less purchasing power than today's dollars.
Hope this help's :)
Buying rental property is an investment option that carries a higher risk than some other options. However, the returns can be good. Assume you have purchased a single-
family home that you intend to rent for $850 per month. You will have the following expenses:
Monthly mortgage $390
Monthly insurance $60
Semiannual property taxes $340
Repairs (yearly estimate) $500
Monthly lawn care or snow removal $100
The return on investment for the property is
% (Round to one decimal place.)
Based on the expenses involved in running the property, and the rental amount, the return on the investment would be 31.1%.
What is the return on investment?First find the amount earned per year:
= 850 x 12
= $10,200
The yearly expenses would be:
= (390 x 12) + (60 x 12) + (340 x 2) + 500 + (100 x 12)
= 4,680 + 720 + 680 + 500 + 1,200
= $7,780
The annual ROI is:
= (10,200 - 7,780) / 10,200 x 100%
= 31.1%
Find out more on Return on Investment at https://brainly.com/question/11913993.
#SPJ1
please help me!.. as fast as possible please help me at fastest possible
A spinner is divided into 12 equal sectors labeled with the letters A through L The spinner is spun 80 times.
How many times is it expected that a vowel will be spun?
——
A.) approximately 20 times
B.) approximately 25 times
C.) approximately 36 times
D.) approximately 40 times
Answer:
c
Step-by-step explanation:
the answer to this quistion is becasue 36 is an propile number
. What is the next number? 3 4 6 9 13 18 24
Answer:
3+1=4
4+2=6
6+3=9
9+4=13
13+5=18
18+6=24
24+7=31
Step-by-step explanation:
I'm just a smart guy
100 Points and I will mark you brainiest if right.
What is 2 x 4 x 8 x 16 x 32 x 64 divided by 2^4
Answer:
131072
Step-by-step explanation:
Let's put it into expression form and simplify as much as possible :
[tex]\frac{(2)(4)(8)(16)(32)(64)}{2^{4} }[/tex] =
[tex]\frac{2097152}{16}[/tex] =
131072
Hope this helped and have a good day
Answer: 131,072
Step-by-step explanation:
2 x 4=8
8 x 8=64
64 x 16=1024
1024 x 32=32768
32768 x 64=2097152
[tex]2^{4}[/tex]=16
2097152/16= 131072
Erica earned a total of $67,250 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than three times the amount she earned from her job at the college. How much did she earn (in dollars) from her job at the college?
Step-by-step explanation:
x = earnings from the store
y = earnings from the college
x + y = 67,250
x = 3y + 1,250
now we use the identity of the second equation in the first equation :
(3y + 1,250) + y = 67,250
4y = 66,000
y = $16,500
x = 3y + 1,250 = 3×16,500 + 1,250 = 49,500 + 1,250 =
= $50,750
Greatest common factor
3m-12n
Answer:
3
Step-by-step explanation:
To find the Greatest common factor (GCF) of 3m-12n we find the highest letters and/or numbers that is a factor of both :
3m-12n
Both have a common factor of 3 :
[tex]\frac{3m-12n}{3} = m-4n[/tex]
m-4n cannot be simplified anymore so the gcf of 3m-12n is 3.
Hope this helped and have a good day
Find the product. 4.56 X 10=
Answer:
4.56 x 10 equals 45.6.
Step-by-step explanation:
When you multiply something by 10, you move the decimal place over to the right one, turning 4.56 into 45.6. I hope this helps! :)
Pls help meeeeeeeeeeeee
Answer:
24%
Step-by-step explanation:
there are 50 numbers total
number of 4's: 7
number of 7's: 5
it's asking for the odds of a 4 or a 7 meaning that they're fine with either one. that means you can ADD the number of them up!
7 + 5 = 12
to get the odds, we need to divide!
12/50 = ?.24convert that into a percent!
24%
let me know if you're still confused :))
Assume a normal distribution and that the average phone call in a certain town lasted 12 min, with a standard deviation of 2 min. What percentage of the calls lasted less than 6 min?
Answer:
I think it's 23 but I might be wrong
Find the value of x.
x
x = [?]
Answer:
Step-by-step explanation:
x + x + x = xxx
=> 3x = x³
=> x³ - 3x = 0
=> x(x² - 3) = 0
=> x(x² - (√3)²) = 0
using a² - b² = (a + b)(a - b)
= x(x + √3)(x - √3) = 0
=> x = 0 , -√3 , √3
x = 0 , ±√3
9 < 5+y
Solve the inequality
Answer:
4<y
Step-by-step explanation:
1st step:9=5+y
2nd step: 9-5=y
3rd step: 4=y
4th step: 4<y
Answer:
y > 4 or 4 < y
Step-by-step explanation:
In this inequality, the < sign, also known as the less than sign, means that 9 is less than the value of 5 + y. Solving inequalities can be simple to do - let's begin!
9 < 5 + y
We know that we must isolate y to determine its value. We can do this by subtracting 5 from both sides of the < sign.
9 - 5 < 5 + y - 5
Simplify!
4 < y → This means that 4 is less than y. Let's rewrite this.
y > 4 → Rewritten, your answer looks like this! This now states that y is greater than 4, which is the same as 4 being less than y.
For more information regarding inequalities, be sure to check out the following answers!
https://brainly.com/question/20085191https://brainly.com/question/12556359https://brainly.com/question/12526104what is the volume of the solid
Answer: 12 cubic yards
Step-by-step explanation:
Volume = (1/2)(3)(4)(2)=12