Consider the behavior of the function when x approaches the value of the vertical asymptote from the left and from the right in order to locate the vertical asymptotes of a function using limits. Consider the behavior of the function when x grows very big in order to determine the horizontal asymptotes of a function using limits (in either the positive or negative direction).Similary, To find the horizontal asymptotes of a function using limits, consider the behavior of the function as x becomes very large (in either the positive or negative direction). If the y-values of the function approach a fixed value as x becomes very large, then that value is the horizontal asymptote of the function.
what is an Asymptote?An asymtote is a line being approached by a curve but never touching the curve at any finite distance.It is a line that the graph approaches as either x or y in positive or negative infinity.
What is vertical asymptote?A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. 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.
Consider the behavior of the function when x approaches the value of the vertical asymptote from the left and from the right in order to identify the vertical asymptotes of a function using limits. The vertical asymptote is at that value of x if the function approaches positive infinity as x approaches the asymptote from the left and negative infinity as x approaches the asymptote from the right. Consider the function f(x) = 1/x as an illustration. We may take into account how the function behaves as x approaches 0 from the left and from the right in order to determine the vertical asymptotes of this function using limits.The y-values of the function become closer to negative infinity as x moves toward 0 from the left (negative x-values). The y-values of the function get closer to positive infinity as x gets closer to 0 from the right (positive x-values). As a result, we may infer that the function's vertical asymptote lies at x = 0.
Similary, Consider the behavior of the function when x grows very big in order to determine the horizontal asymptotes of a function using limits (in either the positive or negative direction). The horizontal asymptote of the function is the point at which the y-values of the function begin to approach a fixed value when x increases significantly.
To learn more about asymptotes visit:
https://brainly.com/question/4084552
#SPJ4
Five less than the quotient of a number and 3 is 13. What is the number? Let n be the unknown number.
[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]Answer: n=54
Step-by-step explanation:
[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]
Answer: n/3 - 3 = 13
so its 48 your welcome
Step-by-step explanation:
Prove: The diagonals of a square are perpendicular.
Answer:
Step-by-step explanation:
Slope of AC= (a-0)/(a-0) = 1
Slope of BD = (0-a)/(a-0) = (-a)/a =-1
Slope of AC x Slope of BD =1 x -1 = -1
Therefore AC perpendicular to BD
What is the answer to 10.50 X 8.5 pls help :\
Answer:
89.25
Step-by-step explanation:
If you do 10.50
x 8.5 you get 89.25.
Answer:
89.25
Step-by-step explanation:
10.5 x 8.5 on a calculator.
(3a+1)^{2} -4a^{2} +4a-1
can someone factorize this while explaining how please:)
Answer:
5a(a + 2)
Step-by-step explanation:
Given
(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL
= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms
= 5a² + 10a ← factor out 5a from each term
= 5a(a + 2)
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer: Function 1 has a greater rate of change than function two.
twins Denise and Deandre always flip a coin to describe who gets to ride in the front seat to school. during a 6-week period (30 school days), how many times does Denise likely get the front seat ?
Find the area of this triangle.
Round to the nearest tenth.
Answer:
42.4 m²
Step-by-step explanation:
The formula for the Area of this triangle = 1/2 absinθ
a = 8m
b = 12m
θ = 62°
The area of the triangle =
1/2 × 8m × 12m × sin 62
= 42.38 m²
Approximately = 42.4 m²
Sammy uses 7.6 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
8 pints
Step-by-step explanation:
What is the solution to 4|0.5x – 2.5| = 0?
x = 1.25
x = 5
x = –1.25 or x = 1.25
x = –5 or x = 5
Answer:
B. X=5Step-by-step explanation:
To solve this problem, first, you have to isolate the value of x from one side of the equation.
[tex]\sf{4|0.5x-2.5|=0}[/tex]
First, divide by 4 from both sides of an equation.
[tex]\sf{\dfrac{4|0.5x-2.5|}{4}}=\dfrac{0}{4}[/tex]
Solve.
|0.5x-2.5|=0
0.5x-2.5=0
x=5
Therefore the correct answer is x=5.
Answer:x=5 nice day
Step-by-step explanation:I now did this
Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 inches, determine the measure of
Answer:
look at the box did you see it
Answer:
I hope you are wanting the measure of QM
QM = 12.08 in
Step-by-step explanation:
Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:
QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146
QM = √146 = 12.08 in
A statement is shown. "The square root of x is a number that is non-terminating and non-repeating." Select all of the values of x that make the statement true. A:x=1 B: x=8 C: x=25 D: x=81 E: x=125
Answer:
The values of 'x' they make the statement true are;
B; x = 8
E; x = 125
Step-by-step explanation:
The given criteria for 'x' = "The square root of x is a number that is non-terminating and non-repeating"
The terms non-terminating and non-repeating numbers are used to describe the characteristics of the decimal part of numbers
A non-terminating number is a form of decimal number that has an infinite number of digits out of which no part is endlessly repeating. This type of decimals are part of irrational numbers that cannot be presented in a fraction format
From the options, we have;
A: x = 1, √x = √1 = 1 No fraction, 1 ∉ x
B: x = 8, √x = √8 = 2·√2 Is non-repeating, non-terminating, 8 ∈ x
C: x = 25, √x = √25 = 5 No fraction, 25 ∉ x
D; x = 81, √x = √(81) = 9 ∉ x
E; x = 125, √125 = 5·√5 Is non-repeating, non-terminating, 125 ∈ x.
HELP ME PLEASE! I NEED TO PAST THIS TEST!!!
The data from a survey on the academic degrees earned by students in the United States in 2009 is shown below.
Degree Male
(in thousands) Female
(in thousands) Marginal
Totals
(in thousands)
Associate 298 489 787
Bachelor 685 916 1,601
Master 260 397 657
Professional 47 45 92
Doctorate 32 35 67
Marginal
Totals
(in thousands) 1,322 1,882 3,204
About how many students were awarded a bachelor’s degree in 2009?
A.
916,000
B.
685,000
C.
1,601,000
D.
1,322,000
Answer:
C
Step-by-step explanation:
Answer:
Answer is C
Step-by-step explanation:
I just took the test and I think you might not need this but to anybody else who needs the answer its C for sure 1,601,000.
Find the measure of Arc MP
Answer:
Arc MP = 118 degrees
Step-by-step explanation:
From what we have;
Arc MP = PN - MN
for PN, we can see that we have a right triangle; that means the arc measure is 180 degrees
So PN is 180
Now, for MN, we are going to use angle-arc relationship
From what we have;
MN = 2 * 31 = 62 degrees
So we have the measure of MP as;
180 -62 = 118 degrees
use decimals to write the decimal number eight and four hundreths
Answer: 8.040328
I don't know but hope it helps
The coordinates of ADEF are D(3,3), E(8,3), and F(6,9). If you translate ADEF 3 units right and 2 units down, what are the coordinates of D'?
The coordinates of D'are (Type an ordered pair.)
PLEASE HELP I WILL MADK BRAINLIEST
Answer:
D(6,1) E(11,1) F(9,8)
Step-by-step explanation:
Just add 3 to the first number of each of the points since you're moving it right by 3 units (right is a positive value) and subtract 2 from the second number (since going down is a negative factor)
In the data set below, what is the range? 9, 4, 9, 2, 8, 2, 1
Helppp!!!!
Look at this graph what is the equation if the line in slope intercept form
Answer:
y =(2/3)x + 80
Step-by-step explanation:
to get the slope.. change in y/change in x in two points.
so use the points (0,80) and (30,100) and you get 2/3
you know the intercept, where x=0 (0,80) therefore the equation is 2/3x + 80
What is (4×-5)^2 in polynomial form
Answer:
[tex]4x^2-20x+25[/tex]
Step-by-step explanation:
We start with this expression.
[tex](4x - 5)^2[/tex]
When an expression inside parentheses are squared, we have to take two of the expression and multiply them together. To do this, we need to multiply each part of one expression and multiply it with every part in the other expression.
This means that [tex](4x - 5) (4x - 5)[/tex] would become...
[tex](4x)(4x) = 4x^2\\(-5)(4x) = -20x\\(-5) (-5) = 25[/tex]
Now, we simply need to put all of the terms into one expression.
[tex]4x^2-20x+25[/tex]
Liz's heart beat 285 times in 3 minutes. Her heart beat
times in 1 minute.
Answer:
95
Step-by-step explanation:
285 divided by 3 is 95
Martha went shopping and wants to buy the following items.
A dress for $85.00
A pair of shoes for $62.00
A shirt for $23.00
She has one coupon to use on her purchase.
20% off the total, before tax
If she uses the coupon, what will be her total before tax?
A. $170.00
B. $34.00
C. $150.00
D. $136.00
Answer:
D. 136
Step-by-step explanation:
HEEEELPPPPPPP!!!!!!!
Answer:
true
Step-by-step explanation:
if each of the left has one right its a function if b had 12 and 3 it would not be a function so its a function because b and a has 3.
Please answer with explanation
Answer:
a direct variation is a relation that is of the form y = mx
example of a direct variation: y = 2xa partial variation is is a relation that is of the form y = mx+b
example of a partial variation: y = 2x + 1a non-linear function doesn't have a constant rate of changethe graph for a non-linear relationship is curveda non-linear curve may show a positive or a negative relationship
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (3, 1) and (-9, -5).
Help plz
Answer:
y= -2x -8
Step-by-step explanation:
I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.
A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).
Let's find the gradient of the given line.
[tex]\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }[/tex]
Gradient of given line
[tex] = \frac{1 - ( - 5)}{3 - ( - 9)} [/tex]
[tex] = \frac{1 + 5}{3 + 9} [/tex]
[tex] = \frac{6}{12} [/tex]
[tex] = \frac{1}{2} [/tex]
The product of the gradients of 2 perpendicular lines is -1.
(½)(gradient of perpendicular bisector)= -1
Gradient of perpendicular bisector
= -1 ÷(½)
= -1(2)
= -2
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.
[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]
Midpoint of given line
[tex] = ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )[/tex]
[tex] = ( \frac{ - 6}{2} , \frac{ - 4}{2} )[/tex]
[tex] = ( - 3 , - 2)[/tex]
Substituting (-3, -2) into the equation:
-2= -2(-3) +c
-2= 6 +c
c= -2 -6 (-6 on both sides)
c= -8
Thus, the equation of the perpendicular bisector is y= -2x -8.
9. Which of the following fractions is equivalent to 1.68
Answer:
could you please put down the answer choices??? cant answer unless I know what fractions need to be picked
Step-by-step explanation:
Write the ratio 3 : 12 in its simplest form
Answer:
3 : 12
1 : 6
The final result is 1 : 6
What is the sum of the polynomials?
(-x2 + 9) + (-3x2 - 11x +4)
Answer:
- 4x² - 11x + 13
Step-by-step explanation:
Given
(- x² + 9) + (- 3x² - 11x + 4) ← remove parenthesis
= - x² + 9 - 3x² - 11x + 4 ← collect like terms
= - 4x² - 11x + 13
Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Part A: If the product of x and 3 is y, write an equation to represent the relationship between the two variables.
Part B: Explain your work in Part A.
Part C: Create a table of values to display five solutions to the equation. Write the solutions as ordered pairs.
Answer:
Part A: y = 3x
Part B: The relationship of y to x is y is 3 times as much as x.
Part C: (0,0), (1,3), (2,6), (3,9), (4,12)
Step-by-step explanation:
Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.
Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.
Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.
x = 0 -> y = 3(0) = 0; (0,0)
x = 1 -> y = 3(1) = 3; (1,3)
x = 2 -> y = 3(2) = 6; (2,6)
x = 3 -> y = 3(3) = 9; (3,9)
x = 4 -> y = 3(4) = 12; (4, 12)
Cheers.
Use the net to find the surface area of the rectangular prism
Answer:
52
Step-by-step explanation:
Plssss helpppp and thank you so so much
Answer:
8
Step-by-step explanation:
slope = change in y over change in x
as y goes up 8, x goes up 1
slope = 8/1 or just 8
This table represents Lola's check register. Her checking account had a balance of $1,685.25 on January 1. Use the information on the check register to determine the balance of Lola's checking account after the transaction on February 2 Enter your answer in the box
Answer:
1327.01
Step-by-step explanation: