Using the vertical asymptote concept, it is found that there is not a vertical asymptote at x = 8 because [tex]\lim_{x \rightarrow 8^-} f(x)[/tex] and [tex]\lim_{x \rightarrow 8^+} f(x)[/tex]are not opposites.
----------------------------------
A vertical asymptote of a function happens at a point outside the function domain.
----------------------------------
In this question, the function is:
[tex]f(x) = \frac{8(x - 8)^2}{(x - 8)^2}[/tex]
In a fraction, the denominator cannot be 0, which could lead to a vertical asymptote at x = 8. However, the term with (x - 8) in the denominator can be factored out of the expression, and thus, an equivalent function is:
[tex]f(x) = 8[/tex]
And the limit at x = 8 will be:
[tex]\lim_{x \rightarrow 8^-} f(x) = \lim_{x \rightarrow 8^+} f(x) = 8[/tex]
Not opposite, so the correct option is:
There is not a vertical asymptote at x = 8 because [tex]\lim_{x \rightarrow 8^-} f(x)[/tex] and [tex]\lim_{x \rightarrow 8^+} f(x)[/tex]are not opposites.
A similar question is given at https://brainly.com/question/23535769
Answer:
C
Step-by-step explanation:
Choose the number that makes the comparison true.
85.04 >
85.9
85.006
85.72
85.051
85.08
Answer:
85.006
hope this helps
have a good day :)
Step-by-step explanation:
As shown in the figure below, Mary is looking at a tree that is leaning at an angle of 84º with respect to the ground. The angle
of elevation from where Mary is standing to the top of the tree is 49º. The length of the tree is 55 feet. Find the distance, x,
from Mary to the base of the tree. Round your answer to the nearest tenth of a foot.
55 ft
I feet
Х
?
84
49°
Х.
Answer:
r his
Step-by-step explanation:rfrfrefeffrefeferfeferfe
How does this geometry look before I email it to my teacher ??
Answer:
it looks pretty nice
Step-by-step explanation:
Which statement about the number 726,483.19 is true?
Answer:
It is a number with 6 whole numbers and 2 decimals, Its a Hundred thousand number
Step-by-step explanation:
Find X using the image.
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.
(x +4)² = (2x -1)(2x -1 +9)
0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)
0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)
This has solutions x = -4 and x = 2. Only the latter works in this geometry.
x = 2
4x - 6 + x + 3
ASAP BRAINLIEST
Answer:
5x - 3
Step-by-step explanation:
Add like terms: (4x + x) + (-6 + 3) = 5x - 3
Answer:
3x-3
Step-by-step explanation:
combine like terms, 4x-x=3x and -6+3=-3
JUAN DECIDE PINTAR LAS PAREDES DE SU CASA UN TOTAL DE 200 METROS LOS DOS PRIMEROS DIAS PINTO 33 METROS CADA DIA AL TERCER DIA COMO TENIA PRACTICA PINTO 96 METROS CUANTOS METROS LE QUEDAN PARA PINTAR
Answer:
38 metros
Step-by-step explanation:
Número total de metros que Juan quiere pintar su casa = 200 m
Durante los primeros 2 días, pintó = 33 m todos los días
Por lo tanto, el número total de metros que pintó = 33 m × 2 = 66 m
Al tercer día, practica la pintura = 96 m
El número de metros que quedan por pintar se calcula como:
200m - (66m + 96m)
Los 200m - 162m
= 38m
so confused on thisss
Answer:
2rootover5
Step-by-step explanation:
just use pythagoraus theorem
Answer:
x ≈ 4.5
Step-by-step explanation:
First, use the Pythagorean theorem to find the missing variable with side 8 and hypotenuse 10.
a² + b² = c²
a² + 8² = 10²
Square the variables
a² + 64 = 100
Subtract 64 from both sides.
a² = 36
Take the square root of both sides.
a = 6.
Now we can find the other triangle and we now know that one side is 4 and the hypotenuse is 6.
a² + b² = c²
x² + 4² = 6²
Square the variables.
x² + 16 = 36
Subtract 16 from both sides.
x² = 20
Square root. (refresh if you don't see this part.)
[tex]x=\sqrt{20}\\\text{Factor out a 2.}\\x=2\sqrt{5}[/tex]
Converted to decimal to the nearest tenth, the answer is
x = 4.5.
Now let's prove it.
[tex]a^2+b^2=c^2\\\text{Substitute variables.}\\(2\sqrt{5})^2+4^2=6^2\\\text{Factor the 2 in.}\\(\sqrt{20})^2+4^2=6^2\\\text{Square the variables.}\\20+16=36\\\text{Add.}\\36=36[/tex]
Find the area of a square with a length of 3.5 centimeter
Answer:
12.25 cm²
Step-by-step explanation:
(3.5 cm)² = 12.25 cm²
PLEASE HELP!!! I don't understand what I'm supposed to do...
Answer:
The scale for the line plot should be 0 to 1, with tick marks every [tex]\frac{1}{8}[/tex]
Hope that this helps!
What is the sum of 1 1/2 + 4 1/2+ 3 1/2?
Answer:
[tex]9\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{2} +4\frac{1}{2} +3\frac{1}{2}[/tex]
[tex]\frac{3}{2} +4\frac{1}{2} +3\frac{1}{2}[/tex]
[tex]\frac{3}{2} +\frac{9}{2} +3\frac{1}{2}[/tex]
[tex]6+3\frac{1}{2}[/tex]
[tex]6+\frac{7}{2}[/tex]
[tex]\frac{19}{2}[/tex]
[tex]9\frac{1}{2}[/tex]
Answer:
[tex]9\frac{1}{2}[/tex] or 9.5
Step-by-step explanation:
1.5 + 4.5 + 3.5 = 9.5
[tex]\frac{3}{2} + \frac{9}{2} + \frac{7}{2} = 9\frac{1}{2}[/tex]
[tex]\huge\boxed{Mark as Brainliest\hookedleftarrow}[/tex]
Find the exact volume of the cylinder. 8mm. 8mm
Answer:
V≈2.14×106
Step-by-step explanation:
i looked up volume of a cylinder, do the same.
A pet store has 52 freshwater fish. Of all the fish in the store, 80% are freshwater fish. How many fish does the store have in all
Unit 2: Sequences
Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
7, 11, 15, 19, ...
Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
3, 12, 48, 192, ...
Recursive Rule:
Recursive Rule:
Explicit Rule:
Explicit Rule:
15th term
15th term:
Answer:
steps below
Step-by-step explanation:
7, 11, 15, 19 ...
common difference (d) = 11-7 = 4
Recursive rule: A(n) = A(n-1) + d = A(n-1) + 4
Explicit rule: A(n) = A(1) + d * (n-1) = A(1) + 4 *(n-1) = 7 + 4 * (n-1) = 4n + 3
15th term: A(15) = 4 * 15 + 3 = 63
Question 20 *
The principal of a school will distribute money from the school's budget to three sports:
cricket, track and field, and netball in the ratio 4:3:2. If the total budget for the three
sports is $1.800.000, how much money will go to netball?
$200,000
B. $400.000
C. $600,000
D. $900.000
А
B
C
Answer:
B
Step-by-step explanation:
2/9th of the money does to netball
2/9 of 1800 is 400
Answer:b
Step-by-step explanation:
Find the area of the given triangle.
A triangle has a height of 15 feet and a base of 10 feet. Another side is 25 feet.
The base (b) of the triangle is
feet.
The height (h) of the triangle is
feet.
The area of the triangle is
square feet.
Answer:
75 squared feet
Step-by-step explanation:
Area=1/2×base ×height
Answer:
The base of the triangle is 10 ft
the height of the triangle is 15 ft
the area of the triangle is 75 square feet
Step-by-step explanation:
Glenn has a garden that is shaped like a rectangle.
The perimeter of his garden is 70 1/2 feet.
The length of the garden is 24 3/4 feet.
What is the width of the garden?
21 ft o 11ft o 10 ½ ft o 45 ¾ ft
Answer:
Solution given:
The length of the garden[l] = 24 3/4 =99/4feet.
breadth or width [b]=b
perimeter of his garden = 70 1/2=141/2 feet.
2[l+b]=141/2ft
99/4+b=141/4
b=141/4-99/4
b=21/2
b=10 ½ft
So the width of the garden is 10 ½ft.
Find the area of each figure below. Round to the nearest hundredth when necessary. 9.6 25.4 m 12 m 10 m
What is the numerator called in a percent problem? What is the denominator called in a percent problem ?
PLEASE I NEED HELP NOW!!!
Answer:
A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.
Step-by-step explanation:
Find the length of the missing side b
Answer:
20 use Pythagorean theorem
Step-by-step explanation:
Rocco has a garden and an oak tree. The oak tree is 11 times as old as the garden. The sum of their ages is 108 years. How old is each the garden and tree?
Answer:
Step-by-step explanation: 19
2. Which of the following is a quadratic function?
O f(x) = 2x + 5
O f(x) = 22
O f() = 0x2 + 3x – 6
Of(x) = 3 - 422
Find the measure of the arc or angle indicated.
GEOMETRY
Thank you!
Answer:
89°
Step-by-step explanation:
By inscribed angle theorem:
[tex]m\angle ZXY =\frac{1}{2} \times 178\degree \\ \\ m\angle ZXY =89\degree [/tex]
Determine the center and radius of the following circle equation:
x2 + y2 – 10x + 8y + 40 = 0
Answer:
The center of this circle is (5, -4) and the radius is 1.
Step-by-step explanation:
First regroup these terms according to x and y :
x^2 - 10x + y^2 + 8y = -40
Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.
and the same for y^2 + 8y: y^2 + 8y + 16 - 16
Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:
x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.
Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:
Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:
(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:
(x - 5)^2 + (y + 4)^2 = 1
This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.
The center of this circle is (5, -4) and the radius is 1.
Answer:
Center (5,-4) Radius = 1
Step-by-step explanation:
Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.
(x-5)^2+y(-(-4))^2 = 1^2
Hence, center (5, -4) and radius 1.
Which of the following are possible values for x in the equation x^2=90? Choose the TWO correct answers. Options: 30, -9√10, -3√10, 45, √90
Answer: x=3√10 or x=−3√10
Step-by-step explanation:
Let's solve your equation step-by-step.
x2=90
Step 1: Take square root.
x=±√90
x=3√10 or x=−3√10
What is the slope of the line that passes through the points (5, 1) and (2, -7)?
Answer:
8/3
Step-by-step explanation:
We need to find the slope of the line that passes through points , (5,1) and (2,-7) . We can find the slope as ,
=> m = y₁ - y₂/ x ₁ - x ₂
=> m = -7 - 1 / 2 - 5
=> m = -8/-3
=> m = 8/3
Hence the slope of the line is 8/3 .PLS HELP I DONT KNOW IT
Answer:
D
Step-by-step explanation:
Since the side length of the square is (2x+5), and squares have equal sides, then you have to do (2x+5)(2x+5). You would get 4x^2+20x+25. That means the answer is D.
Hope this helped!! :D
A telephone call costs c cents for the first 3 minutes and m cents for each additional minute. Which expression represents the cost, in cents, of a 6-minute call?
Answer: [tex]c+3m[/tex]
Step-by-step explanation:
Given
A telephone call costs c cents for first 3 minutes and m cents for each additional minute.
Any call beyond 3 minutes costs
[tex]\Rightarrow c+mt[/tex]
where t is the minutes spent beyond 3 minutes
For 6 minutes , t is 3
thus, it can be written
[tex]\Rightarrow c+3m[/tex]
A linear relationship is shown in the graph.
Which equation best represents the relationship between x and y?
will give brainly
Which sentence contains an error in the use of a restrictive clause?
How could you correct this error?
PLEASE HELP!!! VERY EASY MATH EXPLINATION NEEDED!!!
Answer:
18
Step-by-step explanation:
So lets go voer what we know:
There are 6 pieces of ribbon.
Each piece of ribbon is 1 yard long.
We need 1/3 of each ribbon(1/3 yard).
To find this, lets take our 6 pieces of ribbbon, and break them into 3 seperate pieces.
This is because we need ribbons that are 1/3 of a yard. 3 ribbons would make up a single yard.
So:
The 6 yards of ribbon x 3 ribbons that make up 1 yard
6*3
=
18
I hope this makes more sense, and helps you understand better. I can try to explain in a different way if this still doesn't make sense.
I hope this helps! :)