The vertical asymptotes can be simply found by equating the denominator of a function to zero and solving for x, but the vertical asymptotes requires consideration of the highest degrees of x in numerator and denominator.
What is veritcal asymptote?A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. Because it appears at an x-value outside of the function's scope, the graph can never cross it. There may be several vertical asymptotes for a given function.
What is horizontal asymptote?A graph's horizontal asymptote is a horizontal line with the equation y = b, where the graph moves closer to the line as the inputs go closer to 0 or -1.
Find the x values where the function is undef for the purpose of determining a function's vertical asymptotes. Consider the degree of the numerator and the degree of the denominator while looking for a function's horizontal asymptotes. The horizontal asymptote is y = 0 if the degree of the numerator is smaller than the degree of the denominator. There is no horizontal asymptote if the degree of the numerator is higher than the degree of the denominator. The horizontal asymptote is y = the coefficient of the highest-degree term in the numerator divided by the coefficient of the highest-degree term in the denominator if the degree of the numerator and denominator are equal.
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4.What is the equation in point-slope form of the line passing through (3, 6) and (−2, 1)? (5 points)
a
y + 6 = 1(x + 3)
b
y + 1 = −1(x + 2)
c
y − 6 = −1(x + 3)
d
y − 6 = 1(x − 3)
Answer:
d
Step-by-step explanation:
im doing fast calculation
2
A swimming pool is in the shape of a rectangular prism with a horizontal cross-section 10 feet by 20 feet. The pool is 5 feet deep and filled to
capacity. Water has a density of approximately 60 pounds per cubic foot, or 8 pounds per gallon.
What is the approximate weight of water in the pool?
Answer:
The weight of the water in the pool is approximately 60,000 lb·f
Step-by-step explanation:
The details of the swimming pool are;
The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet
The depth of the pool = 5 feet
The density of the water in the pool = 60 pounds per cubic foot
From the question, we have;
The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g
The volume of water in the pool = Cross-sectional area × Depth
∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³
Acceleration due to gravity, g ≈ 32.09 ft./s²
∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N
266,196.089 N ≈ 60,000 lb·f
The weight of the water in the pool ≈ 60,000 lb·f
What is the distance between (8, -3) and (4, -7)?
Choose 1 answer
Answer:
Option C √32 is correct
Step-by-step explanation:
Here,
x₁ = 8
x₂ = 4
y₁ = (-3)
y₂ = (-7)
Now,
By Using Distance Formula
D = √(x₂ - x₁)² + (y₂ - y₁)²
= √(4 - 8)² + [(-7) - (-3)]²
= √(-4)² + [(-7) + 3]²
= √16 + (-4)²
= √16 + 16
D = √32
Thus, The distance between (8, -3) and (4, -7) is √32
-TheUnknownScientist
Answer:
under root 32 is the right answer
Solve: x - 2 = x-8
{11}
{6, 11}
{}
Answer:
11
Step-by-step explanation:
Equation is
[tex] \sqrt{x - 2)} = x - 8[/tex]
solve by
Someone plz help me giving brainliest T^T plz select (2)
Answer:
F.
Step-by-step explanation:
there are 36 tiles overall from where 4 are purple so
[tex]\frac{4}{36} =\frac{1}{9} =\frac{1}{3} *\frac{1}{3}[/tex]
Ashley's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 62 liters. What are the possible Ashley could add water? Use t for the number of minutes. Write your answer as an inequality solved for t.
Answer:
57 liters
Step-by-step explanation:
Answer
1.0/5
0
MrRoyal
Ace
9K answers
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MISSING DETAILS
Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?
Answer:
Minutes = 8 minutes
Step-by-step explanation:
Topic: Inequality
Given:
Available Size of water = 17 liters
Increment = 5 liters/minute
Size of water needed = At least 57 liters
Putting the above together, as have
17 + 5m > 57
where m represents total minutes and > represent at least
Solving the Inequality
5m > 57 - 17
5m > 40 ------ Divide through by 5
5m/5 > 40/5
m > 8
So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.
No links please!
If f(x) =x^4+5 then what is the remainder when f(x) is divided by x+5?
Answer:
630/x+5 (remainder over divisor)
M∠E + m∠S=______° (plzzz help me )
15 tractors each working 8 hours a day take to take eight days to Plough a piece of land how many days will it take 24 tractors each working 10 hours a day to plough the same piece of land
It will take 24 tractors, each working 10 hours a day, a total of 4 days to plough the same piece of land.
To determine how many days it will take 24 tractors, each working 10 hours a day, to plough the same piece of land, we can use the concept of man-hours.
Given that 15 tractors, each working 8 hours a day, took 8 days to complete the task, we can calculate the total man-hours required to plough the land.
Total man-hours = Number of tractors * Hours per tractor * Number of days
Total man-hours = 15 tractors * 8 hours/tractor * 8 days
Total man-hours = 960
Now, let's calculate the number of days required for 24 tractors, each working 10 hours a day, to complete the task.
Number of days = Total man-hours / (Number of tractors * Hours per tractor)
Number of days = 960 / (24 tractors * 10 hours/tractor)
Number of days = 960 / (240)
Number of days = 4
As a result, ploughing the same plot of land will require 24 tractors to labour for a total of 4 days at 10 hours per day each.
for such more question on hours
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How is the graph of y = 4x^2 - 9 different from
the graph of y = 4x^2 - 8?
Answer:
the first equation is one unit to the right of te left
Step-by-step explanation:
The strength of a rectangular beam varies jointly as its width and the square of its depth. If the strength of a beam 2 inches wide by 10 inches deep is 1000 pounds per square inch, what is the strength of a beam 4 inches wide and 8 inches deep?
Answer:
yes
Step-by-step explanation:
i know this
what is a discriminant? (maths definition)
Discriminant: in mathematics, a parameter of an object or system calculated as an aid to its classification or solution.
Answer: Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2
Hope this helped!
Sending U you good luck!
Find the measure of angle STP.
Pleasee help!!
Answer:
105
Step-by-step explanation:
15x=7x+6+7x+1
15x=14x+7
x=7
15(7)=105
HELP ILL GIVE U THE BRAINLIEST
Answer:
(0, 3 )
Step-by-step explanation:
To find the y- intercept , substitute x = 0 into f(x), that is
f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]
= 3 × 1
= 3
y- intercept = (0, 3 )
priya says that 1/3 x 1/3 x 1/3 x 1/3 = 4/3. do you agree with priya? explain or show your reasoning
Logan works at a florist. He earns $300 per week plus $3 for each floral arrangement he delivers. The expression 300 + 3f gives the amount in dollars that Logan earns for delivering f floral arrangements.
How much will Logan earn if he delivers 40 floral arrangements in one week?
Answer:
420
Step-by-step explanation:
3 × 40 = 120
120 + 300 = 420
He will earn 420 in one week
Emma eats 5 bags of chips a week. How many bags of chips does she eat (on average) a day? A month? A year?
Answer:
5/7 ; 21 ; 260
Step-by-step explanation:
Given that:
Number of bag of chip eaten in a week = 5
Therefore, on average
Number of bags eaten per day will be :
Number of days per week = 7
Number of bags eaten per day= 5 /7 = 0.714 bags
Number of bags eaten per month :
Number of days in a month = 30
Number eaten or month = 5/7 * 30 = 21.42 bags = about 21 bags
Number of bags eaten per year :
Number of days in a year = 365 days
= 5/7 * 365
= 260.71
= about 260 bags per year.
CAN SOMEONE PLS HELP WITH THESE WORD PROBLEMS PLSSS IVE BEEN STUCK HELP HELP HELP
Answer:
3. 76 Balls and 27 Bats
4. you try this
5. you try this
Step-by-step explanation:
Each problem follows the same approach to solve.
Setup 2 equations, one showing the total number and the other showing the total costs.
I'll work out problem 3 and you should be able to do the other two
L=the number of balls
T=the number of bats
equation 1:
L+T=100
equation 2:
L(4.50) + T(20.00) = 822
solve for T in equation 1:
T= 100-L
now substitute T in equation 2:
L(4.5) + 20(100-L) = 822.0
solve for L:
L= -1178/-15.5=76
T=100-76=24
I'll let you know if problems 4 and 5 are correct
When asked to rewrite the expression (x3 + 2x? – x)-(-x3 + 2x2 + 6), Denise made a mistake. She did not get the correct answer, 2x3 -x-6. Identify where she
made her made her mistake.
Your answer
She started with the original problem: (x3 + 2x2 - x)-(-x3 + 2x2 + 6)
o She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6
She rearranged the terms to put the like terms together: x3+ x3 + 2x2 – 2x2-x+6
She combined like terms to get a simplified answer: 2x3 - x + 6
Answer:
She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6
Step-by-step explanation:
It looks like she didn't fully distribute the -
(x3 + 2x2 - x)-(-x3 + 2x2 + 6) :Original
x3+ 2x2 - x + x3 – 2x2 +6 :Changed
~
(x3 + 2x2 - x)-(-x3 + 2x2 + 6)
x3 + 2x2 - x + x3 - 2x2 - 6
x3 + x3 + 2x2 - 2x2 -x - 6
2x3-x-6
I hope this helps ^-^
PLS HELP. INSANELY URGENT. QUESTION IN PICTURE
Answer:
Difference of 15,180,495 feet³
Step-by-step explanation:
Red pyramid volume: 59300000 feet³
Pyramid of Khafre volume: 74400000 feet³
Subtract to get difference
74400000-59300000= 15100000
Nearest in answer choice is 15,180,495 so therefore it is the third choice.
Find the value of x please and fast!!
Answer:
B) 5
Step-by-step explanation:
Does the mean or median best describe a typical value in the data set shown?19, 18, 19, 18, 19, 19, 1, 19, 18, 19, 18
Answer:
Probably mean.
Step-by-step explanation:
The median is the middle number (in this case, 19) and the mean is the average of all the numbers
Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair.
Answer:
[tex]D = (7,3)[/tex]
Step-by-step explanation:
Given
[tex]D = (3,7)[/tex]
See attachment for graph
Required
Identify and correct the error
From the attached graph, the coordinate of D is at:
[tex]x = 7[/tex]
[tex]y = 3[/tex]
So:
Allie's mistake is that, she identifies x as y coordinate and y as the x coordinate.
So, the right coordinate is:
[tex]D = (7,3)[/tex]
Position 3 Value of Term 8 20 Com
What expression is equal to (5^4)²
Answer:
5^8
Step-by-step explanation:
multiply the exponents = 4x2 = 8
Please help me NO LINKS
✌︎('ω'✌︎ )
Answer:
Use the Substitution method
The answer to the problem is x = 10, y = -1
if comlementary angles are adjacent they form a :
i will give 34 points
fast fast
Answer:
they would make a staright line or straight angle, which would be 180 degrees.
Brainliest?
Step-by-step explanation:
Which expression is equivalent to
-32 3/5?
O -8
O -3√32^5
O 1/3√32^5
O 1/8
Answer:
-8 is the final answer
Step-by-step explanation:
-(2⁵)^3/5
-2³
-8
Plzz help will give Brainiest. Need it now plzz
Step-by-step explanation:
The solution in the photo above, I know it is not very clear sorry for that :)
I hope that is useful for you :)
Divide: 1213 ÷ 9 = A)
134 R7
B)
134 R8
C)
135 R7. D)
135 R8