Answers
Answer:
[tex]f(x)=\dfrac{1}{x+4}[/tex]
Step-by-step explanation:
Asymptote: a line which the curve gets infinitely close to, but never touches.
From inspection of the graph, we can see that there is an asymptote at [tex]x=-4[/tex], since the curve gets infinitely close to this line, but never touches it.
Therefore, the function is undefined at [tex]x=-4[/tex]
For a rational function to be undefined, the denominator must equal zero at that point. Therefore, we are looking for a rational function with a denominator that equals zero when [tex]x=-4[/tex].
Therefore, option D is the correct solution, since:
[tex]f(-4)=\dfrac{1}{-4+4}=\dfrac{1}{0} \implies \sf und efined[/tex]
Related Questions
Stephanie has $42,750 in student loans at a 6% compound interest
rate. If she decides to defer payment on the loan for two years, how
much additional interest will be added to the loan at the end of the
two-year deferment?
Answers
Answer:
You first take the annual interest rate on your loan and divide it by 365 to determine the amount of interest that accrues on a daily basis. Say you owe $10,000 on a loan with 5% annual interest. You'd divide that rate by 365 (0.05 ÷ 365) to arrive at a daily interest rate of 0.000137.
Find the solution set for the equation
|4x - 9| + 3 = 8
Answers
The solution set for the equation |4x - 9| + 3 = 8 are its true values
The solution set is x = 3.5 or x = 1
How to determine the solution set?The equation is given as:
|4x - 9| + 3 = 8
Subtract 3 from both sides
|4x - 9| = 5
Remove the absolute bracket
4x - 9 = 5 or 4x - 9 = -5
Add 9 to both sides
4x = 14 or 4x = 4
Divide both sides by 4
x = 3.5 or x = 1
Hence, the solution set is x = 3.5 or x = 1
Read more about solution set at:
https://brainly.com/question/1214333
Having a hard figuring this one out
Answers
please help me
and please show good answers
Answers
Answer:
1st one is 0.021
2nd one is 0.009
the last question is 0.015 tho
Answer:
for the first one it will be 0.021
the second one it's 0.009
and for the third one it will be 0.015
How can you use mental math to find 195 × 6?
Answers
find the value of X.
(√32)²= (X+2)²+x
Answers
Answer:
Answer:x=−6.274917217635375,1.2749172176353745
Step-by-step explanation:
(3(2))2=(x+2)2+x12=x2+5x+4
Step 1: Subtract x^2+5x+4 from both sides.12−(x2+5x+4)=x2+5x+4−(x2+5x+4)−x2−5x+8=0
For this equation: a=-1, b=-5, c=7.999999999999998−1x2+−5x+8=0Step 2: Use quadratic formula with a=-1, b=-5, c=7.999999999999998.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(−1)(8)2(−1)x=5±57−2x=−6.274917217635375,1.2749172176353745
A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.) Laura wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the two candies selected are taffy?
Answers
The probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.
What is the conditional probability?The conditional probability is the happening of an event, when the probability of occurring of other event is given.
A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.)
Let A is the event of selecting taffy in first attempt. Thus, the probability of it is,
[tex]P(A)=\dfrac{4}{14}[/tex]
Now 13 candies remain, in which 3 taffy candies are present. Let B is the event of selecting taffy in again. Thus, the probability of it is,
[tex]P(B)=\dfrac{3}{13}[/tex]
The probability of happening both event is,
[tex]P(A\cap B)=\dfrac{4}{14}\times\dfrac{3}{13}\\P(A\cap B)=\dfrac{12}{182}[/tex]
The probability that the two candies selected by Laura from the box are taffy is,
[tex]P(B| A)=\dfrac{\dfrac{12}{182}}{\dfrac{4}{14}}\\P(B| A)=0.230[/tex]
Thus, the probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.
Learn more about probability here:
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#SPJ1
Carolyn bought 9 feet of copper pipe for 54$ what was the cost of each foot of copper pipe?
Answers
Answer:
54÷9= 6
so its $6 a foot of copper
I work 4.5 hours I made $90.00 what did I make hourly
Answers
[tex]hourly-pay = \frac{total-money-paid}{number-of-hours} =\frac{90}{4.5} =20[/tex]
Thus you made $20 per hour
Hope that helps!
Find the axis of symmetry and the vertex of the graph of y = 3x2 −18x + 17.
x = 3; (3, −10)
x = −3; (−3, −17)
x = 6; (3, −18)
x = −6; (3, −10)
Answers
Answer:
Vertex of y = − 3 x 2 + 18 x − 13 Ans: Vertex (3, 14)
Step-by-step explanation:
Explanation: x-coordinate of vertex: x = ( − b 2 a ) = − 18 − 6 = 3 y-coordinate of vertex: y = f(3) = -27 + 54 - 13 = 14 x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex: x = 3
A set of data is normally distributed with a mean of 327 and a standard deviation of 27.
What percentage of the data is below 357?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
Answers
Answer:
86.7%
Step-by-step explanation:
For questions regarding values related to a normal distribution, a suitable calculator is required. Numerous calculators, apps, web sites, and spreadsheets are capable of answering this question.
__
One standard deviation above the mean is 327 +27 = 354, so the value is expected to be slightly more than 50% +34% = 84%. It is no surprise, then, that a calculator tells you 86.7% of the data is below 857.
_____
Additional comment
The "empirical rule" tells you 68% of the area is within 1 standard deviation of the mean. The distribution is symmetrical, so half that, 34%, is between the mean and 1 standard deviation above the mean. Of course, 50% of the data is below the mean.
How to graph (x-2)(y-3)=0
Answers
Step-by-step explanation:
here you want to isolate the y.
so what you do in the beginning is divide both sides by x-2.
then, you'll have y-3 = 0
so y = 3
this is a horizontal graph that crosses the y axis and y = 3.
20. A centimeter is 1/100t of a meter, while a kilo-
meter is equal to 1000 meters?
a. True
b. False
Answers
Answer:
I think it true?
I is correct?
my brainlist answer please. <:(
1) For x2 + 35x - 36 = (x + 2)(x + _), the operation signs of the factors are:
Answers
Step-by-step explanation:
please make it a little bit clear
Christian traveled 45.5 miles in 3.25 hours How many feet did Christian travel (1 mile = 5,280 feet)
Answers
Answer:
280,280
Step-by-step explanation:
i believe you just multiply 45.5 times 5280
Step-by-step explanation:
[tex]1mile = 5280feet[/tex]
[tex]45.5miles = x[/tex]
[tex] \frac{45.5}{1} \times 5280[/tex]
[tex]x = 240240feet[/tex]
I need help on this question
Answers
~Denki Kaminari here~
Answer:
5t\sqrt(6su) (THE SECOND ONE)
Step-by-step explanation:
simplify the radical by breaking it up into known factors, assuming positive real numbers.
hope this helps :D
Triangles ABC and DEF are
A. Similar triangles
B. Not similar triangles
Answers
Answer:
A. Similar triangles
Step-by-step explanation:
Triangle ABC
35° + 90° + x = 180°
125° + x = 180°
x = 180° - 125°
x = 55°
They are similar due to the occurrence in angles
Solve for kkk.
8(10-k)=2k8(10−k)=2k
Answers
Answer:
k = 8
Step-by-step explanation:
We know that 8(10-k) = 2k so:
8(10−k)=2k
Simplify both sides of the equation:
8(10−k)=2k
(8)(10)+(8)(−k)=2k
80+−8k=2k
−8k+80=2k
Subtract 2k from both sides:
−8k+80−2k=2k−2k
−10k+80=0
Subtract 80 from both sides:
−10k+80−80=0−80
−10k=−80
Divide both sides by -10:
[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]
k = 8
Find a root of the Equation, x2 − 4x −10 = 0 using bisection method.
Answers
Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
What is the Bisection Method?The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.
Given the equation:
x² - 4x - 10 = 0.
Applying the bisection method, we would have the following:
x² - 4x + (2²) - (2²) - 10 = 0
(x - 2)² - 14 = 0
Add 14 to both sides
(x - 2)² = 14
Take the square root of both sides
x - 2 = ±√14
x = 2 ± √14
x = 2 - √14 = -1.74
or x = 2 + √14 = 5.74
Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
Learn more about bisection method on:
https://brainly.com/question/13314803
To solve application problems using proportions
The ratio of weight on the moon to weight on Earth is 1:6. How much would a 174-pound person weigh on the moon?
Please show work and help please thank you
Answers
Step-by-step explanation:
[tex] \frac{1}{6} = \frac{x}{174} [/tex]
x = 174/6
= 29 pound person weight on the moon.
The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament
Stem
4
5
6
7
8
9
Leaf
11 3 3 5
0 2 3 4
2 3 3 7
5
7
Key: 50 = 50 digs
13
سية
Find the mean, median, mode, range, and interquartile range of the data. Round your answers to the nearest tenth, if necessary
The mean is
The median is
The modes from least to greatest are and
The range is
The interquartile range is
Answers
Answer:
The mean is 56.6, the median is 53, modes are 41, 43, and 63, the range is 56, and the IQR is 20.
Step-by-step explanation:
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 849 / 15
= 56.6
I WILL GIVE BRAINLEST
find the area of the composite figure (round to the nearest hundredth) A) 35.26. B) 41.70. C) 41.86. D) 48.46
Answers
Answer:
41.86 is the right answer
Step-by-step explanation:
If the wages of workers for a given company are normally distributed with a mean of $15 per hour, then the proportion of the workers earning more than $13 per hour:
Answers
The proportion of the workers earning more than $13 per hour is greater than the proportion earning less than $13 per hour.
What is a normal distribution?A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.
To learn more about a normal distribution, please check: https://brainly.com/question/25846196
find the equation of the circle which passes through points
(3,-1), (3,9) and (-2,4)
Answers
OR if you are looking for point slope:
y+1=-1(x-3)
Write an equation of the line with a slope of 0 and y -intercept of 5 .
y=
Answers
Answer:
y=-5
Step-by-step explanation:
A
seventy-eight and nineteen hundredths
B
seven hundred eighty and nineteen hundredths
C
seventy-eight point zero one nine
D
seventy-eight and nineteen thousandths
Answers
Yes I wanted to know what is the answer
Answers
Answer:
14 flats
5 plants
Step-by-step explanation:
First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14
The 14 times 6 would get you 84
Then subtract 84 from 89 and you get 5 plants left over ^^
please help
Q10)In a box of 25 switches, 13 are round and the rest are squared. What is the probability of randomly selecting a switch that is squared?
Q11) Oak trees shade 30% of the Fitzgerald’s’ backyard. What is the probability that someone standing at a random point in the backyard will NOT be in the shade?
Marble drawing experiment
Color Times Drawn
Pink 12
Green 10
Blue 16
Yellow 12
Q12. A marble is drawn from a bag and then its color is recorded in the table
a) Find the experimental probability of drawing a blue marble
b) Find the experimental probability of drawing a pink or a yellow marble
c) Find the experimental probability of drawing not a green marble
Q13) Two 1–6 number cubes are rolled—one is black and one is white. Find the following probabilities.
a) Rolling an odd number and then the number 5.
b) The black cube shows a multiple 3 and the product of the rolls is less than or equal to 6.
c) The white cube shows an even number, and the sum is 8.
Q14). A bag contains 10 blue cubes, 15 red cubes, and 25 green cubes. Find each probability.
a) A green cube and then a blue cube are chosen at random with replacement.
b) A red cube and then a blue cube are chosen at random without replacement
c) Two cubes of the same color without replacement
Answers
Please answer .....
there are 5 blue, 4 red, 1 yellow and 2 green bead in a bag.
A) Find the probability that a bead chosen at random from the bag is blue?
B) Find the probability that a bead chosen at random from the bag is red or yellow?
C) Find the probability that a bead chosen at random from the bag is white?
D) Find the probability that a bead chosen at random from the bag is NOT yellow?
Q4) A fruit bowl contains 4 apples, 3 oranges, and 8 bananas, find the probability of
a) Randomly selected orange
b) Randomly selected apples
c) Randomly selected apple or banana
d) Randomly selected orange ,replace it then select banana
Q5) a number cube labeled by the numbers (3,3,3,3,5,5),what is the probability of
a) The number cube shows a 5
b) The number cube shows a 3
c) Having 5 and then 5 when the number cube rolled twice
d) Having 5 and then 3 when the number cube rolled twice
Answers
Answer:
A) 5/12
B) 5/12
C) 0/12
D) 11/12
-------------
Q4.
A) 3/15
B) 4/15
C) 12/15
D) 8/15
-----------------
Q5.
A) 2/6 or 1/3
B) 4/6 or 2/3
C)
D)
Step-by-step explanation:
A.
If you wrote the first letter of your name
(in upper-case) on a graph, would it be a
function? (yes/no)
Give the letter you are using to answer
the question.
(THE LETTER I WOULD BE USING IS J)
Answers
Answer:
Yes
J
Step-by-step explanation: