Answer:
The values of x that makes f(x) have a valid asymptote are 1 and 8
Step-by-step explanation:
Given
[tex]f(x) = \frac{9}{(x-1)(x-8)}[/tex]
Required
At what value does f(x) has a vertical asymptote
To solve this, we simply equate the denominator of f(x) to 0;
This is done as follows
[tex]{(x-1)(x-8)} = 0[/tex]
This can be split to
[tex]{(x-1) = 0 \ or\ (x-8)} = 0[/tex]
Remove brackets
[tex]x-1 = 0 \ or\ x-8 = 0[/tex]
Make x the subject of formula in both cases
[tex]x-1+1 = 0+1 \ or\ x-8+8 = 0+8[/tex]
[tex]x= 0+1 \ or\ x = 0+8[/tex]
[tex]x= 1 \ or\ x = 8[/tex]
The values of x that makes f(x) have a valid asymptote are 1 and 8
Answer:
The correct answer is 1 and 8
Step-by-step explanation:
4t+ 3.5 = 2.25 solve the equation
Answer:
-0.3125
Step-by-step explanation:
Subtract 3.5 from both sides
4t = -1.25
Divide both sides by 4
t =. -0.3125
Answer:
1.3335
Step-by-step explanation:
if f(x) = -3x - 5 and g(x)= 4x - 2, find (f-g) (x).
Answer:
[tex]-7x-3[/tex]
Step-by-step explanation:
[tex](f-g)(x)[/tex] just means [tex]f(x)-g(x)[/tex].
So
[tex]-3x-5-(4x-2)\\-3x-5-4x+2\\-7x-3[/tex]
Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals StartFraction one-half EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)?
f(x) = f(x) equals StartFraction one-half EndFraction x plus 4.x + 4
f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.x + 6
f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.x – 10
f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.x – 12
B: f(x) 1/2x + 6 IS THE RIGHT ANSWER .
I ONLY POST THE RIGHT ANSWERS TO THESE Qs PEOPLE !!
Answer:
f(x) = (1/2)*x + 6
Step-by-step explanation:
We have the following equation:
y - 8 = (1/2)*(x - 4)
Applying distributive property:
y - 8 = (1/2)*x - (1/2)*4
y - 8 = (1/2)*x - 2
Isolating y:
y = (1/2)*x - 2 + 8
y = (1/2)*x + 6
When we talk about functions, y and f(x) refers to the same. So, we can rewrite the last equations as:
f(x) = (1/2)*x + 6
Which of these values represents the largest distance?
A. 5,000 inches
B. 0.5 miles
C. 5,000 feet
D. 500 yards
Answer:C 5000 feet
Step-by-step explanation:It’s slightly less then a mile.
Answer:
C. 5,000 feetStep-by-step explanation:
First of all, you would want to convert all of the distances into the same units.
Let's convert the distances to miles.
5,000 inches = about 0.08 miles
0.5 miles = 0.5 miles
5,000 feet = about 0.9 miles
500 yards = about 0.3 miles
Now, we compare the values.
We can easily place 5,000 inches last, because when converted to miles it's 0.08.
0.08<0.3<0.5<0.9
5,000 inches<500 yards<0.5 miles<5,000 feet
Hence, the answer is C.
need help please ! parallelogram
Answer:
11). m∠W = 70°
12). m∠M = 95°
13). m∠Q = 135°
14). m∠Q = 55°
15). m∠X = 110°
Step-by-step explanation:
11). m∠W + m∠X = 180° [Consecutive interior angles]
(24x - 2) + (36x + 2) = 180°
60x = 180°
x = [tex]\frac{180}{60}[/tex]
x = 3
Therefore, m∠W = (24x - 2)°
m∠W = (24×3 - 2)
= 72 - 2
= 70°
Since opposite angles of a parallelogram are equal in measure.
m∠Y = m∠W = 70°
12). m∠J + m∠K = 180° [Consecutive interior angles]
(6x + 19) + (8x + 7) = 180°
14x + 26 = 180
14x = 180 - 26
14x = 154
x = [tex]\frac{154}{14}[/tex]
x = 11
m∠K = (8x + 7)
m∠K = 8×11 + 7
m∠K = 95°
Since m∠M = m∠K
Therefore, m∠M = 95°
13). m∠Q = m∠S [Opposite angles of a parallelogram]
x + 135 = 2x + 135
2x - x = 0
x = 0
Therefore, m∠Q = 135°
14). m∠Q = m∠S [Opposite angles of a parallelogram]
14x - 1 = 13x + 3
14x - 13x = 3 + 1
x = 4
m∠Q = (13x + 3)
= 13×4 + 3
= 52 + 3
m∠Q = 55°
15). m∠Z = m∠X
(19x - 4) = (17x + 8)
19x - 17x = 12
2x = 12
x = 6
m∠X = (17x + 8)°
m∠X = 17×6 + 8
m∠X = 110°
c) Ali had x packets of nasi lemak and shared
them equally among 5 persons. Each
person received 3 packets.
Answer:15
Step-by-step explanation:
If each person gets 3 packets and there are 5 people you take 5*3 and get 15
A shepkeeper bought a bottle of cooking oil at $ 4.54 He then sold it for $7.49. inclusive of GST. The GST of 7% of the selling pnce is to be paid to the government.
(A) Find the GST he had to pay (B) Find the profit in selling one bottle of cooking oil.
Answer:
GST = $0.32
PROFIT = $2.63
Step-by-step explanation:
GST = 7% of $4.54 = 0.32
Profit = 7.49 - ( 4.54 + 0.32)
= 7.49 - 4.86
= 2.63
Fill in the blank:
2 4 6=20
Answer:
2*(4+6)
Step-by-step explanation:
2 multiplied by the sum of 4 and 6 is 2 times 10, which equal 20. Hope this helps :)
Answer:
2x(4+6)
The factors of 20 are 1,20||| 2,10 |||4,5||||
We need to somehow get both of those numbers
We have 4 but there is no way to get 5 so only 1,20 and 2,10 are left
We have 2 and we can add 4 + 6 = 10 and 10 x 2 = 20 so that's our answer
Hope this heps
Step-by-step explanation:
The length of the hypotenuse of a 30-60-90 triangle is 4. find the perimeter
Answer:
Answer is B
Step-by-step explanation:
The hypotenuse of a triangle is always twice the length of the shorter side in a 30 60 90 triangle. So if the hypotenuse is 4 the shortest side must be 2. Meaning the sum will be 6. The medium side is the shortest side times the square root of 3. So we have 2[tex]\sqrt{3}[/tex]. Our final equation is 6+ 2[tex]\sqrt{3}[/tex].
What is the value of m in the equation zman=16, when n=8?
20
32
44
48
Answer:
32
Step-by-step explanation:
thats what i think, im 99.9% im correct
My parents met on January 1st 1998, my mother was born on May 18th, 1975, my father was born on February 14th 1974.
At what date has my mom known my father for longer than she lived before meeting him.
At what date has my dad known my mother for longer than he lived before meeting her.
Thank yall for the help!
Answer:
Father: 23 years
Mom: 24 years
Use the information to estimate the number of swimmers on the team.
A swim team is divided into age groups: Guppies Stingrays and Sharks. There are 20 swimmers in
the Stingray group. If we randomly select 10 swimmers and 4 are Stingrays. How many swimmers can
we estimate are on the team?
We can estimate that there are___Swimmers on the team
Need help
Answer:
50 Swimmers
Step-by-step explanation:
If 4/10 swimmers are stingrays, that means that roughly 40% of the swimmers are stingrays. If there are 20 Stingrays and that is 40% of 100% swimmers it means that stingrays make up 2/5 of the swim team members. You can use this equation to cross multiply:
20/x = 40/100
20/x = 4/10
20/x = 2/5
x = 50.
This shows that there are 50 people on the team.
2/5 +2/3 is equal to
Answer: 16/15
Step-by-step explanation:
2/5 + 2/3
(3/3)2/5 + (5/5)2/3
6/15 + 10/15 = 16/15
Answer:
1 1/15
Step-by-step explanation:
To solve this, you must find a common denominator.
The common denominator that comes to my mind is 15.
2/5 = 2*3/5*3
2/5= 6/15
2/3= 2*5/3*5
2/3= 10/15
6/15 + 10/15 = 16/15
16/15= 1 1/15
Which rule describes the translation KLMN - K’L’M’N
can someone help :((
Answer:
58.9 ft²
Step-by-step explanation:
The horse is constrained to 3/4 of a circle that has a 5 ft radius. Then the area is ...
A = (3/4)πr²
A = (3/4)π(5 ft)² = 75π/4 ft²
A ≈ 58.9 ft²
The horse has a maximum grazing area of 58.9 ft².
_____
In the real world, a 5 ft rope is awfully short. The grazing area would depend on how high on the barn it is tied, and where on the horse it is tied.
Please help :)))))))!!!
Answer:
i think its the option one, not sure
The first term in a sequence is 4. Each of the next terms in the sequence is 3 more than 2 times the term before. What are the third and fourth terms in the sequence?
Answer:
4 is the first term of the sequence
The second term would be 2x4+3 = 11
the third term would be 2×11+3 = 25
the forth term would be 2×25+3 = 53
Your sequence is 4,11,25,53
Use the following picture to answer the questions.
Step-by-step explanation:
We know that measure of all right angles = 90 degrees
m<TPS = 45 degrees
m<QPV = 45 degrees
A microscope dilates the image of an organism 4 times its original dimensions. If the radius of a circular organism seen by the microscope is 8 cm, find the radius of the actual organism. Question 17 options: A) 4 cm B) 8 cm C) 2 cm D) 32 cm
Answer: 2cm
Step-by-step explanation:
From the question, we are informed that a microscope dilates the image of an organism 4 times its original dimensions and that the radius of a circular organism has seen by a microscope is 8 cm.
Since the microscope makes the objects 4 times bigger, then the original radius will be:
= 8cm/4
= 2cm
The radius of the actual organism is 2cm.
Answer:
32cm
Step-by-step explanation:
I PROMISE YOU, FIRST PERSON TO ANSWER IT 'CORRECTLY' GETS BRAINLY. Monica found a pair of skis that cost $122 more than the times the cost of the sled. The cost of the pair of skis was $197. What was the cost of the sled?
Answer:
$75 for the sled. (I don't understand "more than the times the cost of the sled")
Step-by-step explanation:
I don't understand "more than the times the cost of the sled" but if you were trying to figure out the cost of the sled, then it would be:
197-122=
75
you purchased six baseball caps for the following amounts : $19.99, $4.99, $14.99, $29.99, $24.99 and $49.99, respectively. what was the average amount you paid for the six caps
Answer:
Approximately $24.16
which choice is equivalent to the quotient below?
What is 11 Over 12 divided by one-third?
Answer:
11/4
Step-by-step explanation:
I did 11/12 divided by 1/3. I hope this is correct if not I'm very sorry.
Answer:
2 3/4 or 11/4
PLZ HELP I NEED HELP PLZ
Answer:
ok I will help
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
105 is a perfect square. Question 1 options: True False
Answer:
False
Step-by-step explanation:
105 is not a perfect square
close ones 100 and 121
The list below shows all of the possible outcomes for flipping four coins. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT What is the probability of at least two coins landing on heads? StartFraction 5 over 16 EndFraction StartFraction 3 over 8 EndFraction One-half StartFraction 11 over 16 EndFraction
Answer:
d
Step-by-step explanation:
The solution is Option D.
The probability of at least two coins landing on heads is given by the equation P = 11/16
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability of at least two coins landing on heads be P
Now , the equation will be
Let the coin landing on its head be represented as = H
Let the coin landing on its tail be represented as = T
The possible outcomes of flipping a coin be represented by set A
Set A = { HHHH , HHHT , HHTH , HHTT , HTHH , HTHT , HTTH , HTTT , THHH , THHT , THTH , THTT , TTHH , TTHT , TTTH , TTTT }
So ,
The total number of outcomes = 16 outcomes
The number of outcomes where at least 2 coins land on their heads is given by set B
Set B = { HHHH , HHHT , HHTH , HHTT , HTHH , HTHT , HTTH , THHH , THHT , THTH , TTHH }
The number of outcomes of set B = 11
So , the probability of at least two coins landing on heads be P = number of outcomes of set B / total number of outcomes
Substituting the values in the equation , we get
Probability of at least two coins landing on heads be P = 11/16
Therefore , the value of P is 11/16
Hence , the probability is 11/16
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ5
Suppose that a company claims that its chocolate bars weigh 2.8 oz on average. It took many large samples, and each time the mean weight of the sample was within the 95% confidence interval. Which of the following would be a reasonable conclusion.
A) The bars do not weigh 2.8oz on average.
B) The bars weigh fewer than 2.8oz on average.
C) The bars weigh 2.8oz on average.
D) The bars weigh more than 2.8oz on average.
Answer:
C) The bars weigh 2.8oz on average.
Step-by-step explanation:
The fact that each sample's mean weight was within the 95% confidence interval suggests that the true mean weight of the chocolate bars is likely to be around 2.8 oz. The 95% confidence interval means that, in theory, if we repeated this sampling process many times, we would expect the true mean weight of the chocolate bars to fall within this interval 95% of the time. Since each sample's mean weight falls within this interval, it is reasonable to conclude that the company's claim that the bars weigh 2.8 oz on average is likely to be true.
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is, where I
represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of
the rectangle?
E:
7 in.
8 in.
09 in.
10 in.
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
If the slant height of a right cone is 5 inches, and the radius of its base is 3 inches, what is the lateral area of the cone?
π square inches
Answer:
The laterals area is 15 [tex]\pi[/tex] square inches
Step-by-step explanation:
recall that the formula for the lateral area of a cone of radius R, when the slant height (hs) is given is defined by the formula:
[tex]lateral\,\,area=\pi \,R\,h_s[/tex]
Therefore, in this case, we have:
[tex]lateral\,\,area=\pi \,R\,h_s\\lateral\,\,area=\pi \,3\,*\,5\\lateral\,\,area=15 \, \pi[/tex]
That is 15 [tex]\pi[/tex] square inches
Answer:
15 pi square inches
Step-by-step explanation:
I just did it
Brainliest pls
A football is kicked from the ground and follows the graph of the function y = –t2 + 3t, where y represents height and t represents seconds. At the same time, a drone is launched from a height of 4 feet and follows the straight path of y = –t + 4. At what time are the football and the drone at the same height?
Options:
A. 2 seconds
B. 3 seconds
C. 1 second
D. 5 seconds
Answer:
The height of the objects are the same after 2 seconds.
Step-by-step explanation:
In order to calculate at which time both objects have the same height we need to find the value of t that makes both equations equal. Therefore:
[tex]-t^2 + 3t = -t + 4\\t^2 - 3t - t + 4 = 0\\t^2 - 4t + 4 = 0\\t_{1,2} = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*4}}{2*1} = \frac{4 \pm \sqrt{16 - 16}}{2}\\t_{1,2} = \frac{4}{2} = 2[/tex]
The height of the objects are the same after 2 seconds.
