Well... One way you can do this is by testing a set of arrays and see the trend. If I chose to find what y1 is in (100, y1) and what y2 is in (101, y2), I would find the difference between y2 and y1. If y2 - y1 is positive, this means there is a positive relationship and y is also approaching POSITIVE infinity. A negative relation means that it is approaching NEGATIVE infinity. However, it could be approaching a single number like "4" for instance, and you just need to plug in the right number of data sets to make that educated guess.
Formula Example:
5 + 1 / (x + 1) will always approach 5 because "1 / (x + 1) will approach 0".
Hope this helps.
To algebraically find limit of a function as "x" approaches infinity, identify highest degree term, divide by "x", and evaluate the resulting expression.
To algebraically find the limit of a function as x approaches infinity, we can follow the below steps :
(i) Identify the highest degree term: Determine the term with the highest power of x in the function.
(ii) Ignore lower degree terms: If the highest degree term is dominant, ignore lower degree terms and constants.
(iii) Divide by x: Divide every term in the function by x raised to the power of the highest degree.
(iv) Evaluate the limit: Examine the resulting expression as x approaches infinity. If the expression tends to a finite value, that is the limit. If the expression diverges (goes to infinity or negative infinity), then the limit does not exist.
By simplifying the function and observing the behavior of the resulting expression, we can algebraically determine the limit of the function as x approaches infinity.
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In a 45-45-90 triangle, the length if the hypotenuse is 11. Find the length of one of the legs
Answer:
[tex] \frac{11\sqrt{2}}{2}[/tex]
Step-by-step explanation:
In a 45-45-90 triangle, the length if the hypotenuse is 11
WE use the common ratio of 45-45-90 degree triangle
common ration is x: x: x sqrt(2)
x sqrt(2) is the length of the hypotenuse
[tex]x\sqrt{2} = 11[/tex]
Divide by sqrt(2) on both sides
[tex]x= \frac{11}{\sqrt{2}}[/tex]
To rationalize the denominator, multiply by sqrt(2) at the top and bottom
sqrt(2) * sqrt(2) = 2
[tex]x= \frac{11\sqrt{2}}{2}[/tex]
Emily is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 14 km/h. After nine hours, the velocity of the cyclist is 4 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equations obtained in Part A for the first 10 hours? (5 points)
200 gallon tank fills at 3 gallons/minute and loses 2 gallons/minute how long does it take to fill up
it fills at 3 gallons per minute, but loses 2 gallons per minute
3-2 =1, so it fills at 1 gallon per minute
200 gallons at 1 gallon per minute = 200 minutes,
200/60 = 3 hours and 20 minutes
Find the measure of an angle whose supplement is 9 times the measure of its complement
The equation is 180 - x = 9 (90 - x).Then the measure of the angle will be 78.75 degrees.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
Let 'x' be the angle. Then the equation is given as,
180 - x = 9 (90 - x)
180 - x = 810 - 9x
8x = 630
x = 78.75 degrees
The measure of the angle will be 78.75 degrees.
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uhhhh how do i make a line parallel to AB through point C
For the polynomial below, what is the coefficient of the term with the power of 3?
x^3+1/3x^4+6x+5
A. 6
B. 5
C. 0
D. 1
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
[tex]x^3+\frac{1}{3}x^4+6x+5[/tex]
Coefficient of the terms are as follows:
Coefficient of x³ is 1
Coefficient of x⁴ is [tex]\frac{1}{3}[/tex]
Coefficient of x is 6
Constant term is 5
Hence, coefficient of the term with the power of 3 is 1.
Therefore, Option 'D' is correct.
How many values of θ will satisfy tan-1 0 = θ when 0º<θ<90º?
The sum of three interior angles of a convex Pentagon is 420°.if the remaining angles are equal how much does each angle measure?
Each one of the remaining angles measures 60°.
How much does each angle measure?
We know that the sum of the interior angles of a closed figure of n sides is given by:
(n - 2)*180°.
A pentagon has 5 sides, so we use n = 5 and we get:
(5 - 2)*180° = 540°
Now we know that 3 angles add up to 420°.
Then the other two angles must add up to:
540° - 420° = 120°
And those two angles are equal, then each one measures:
120°/2 = 60°.
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Which of the following is an identity? A. sin2x sec2x + 1 = tan2x csc2x B. sin2x - cos2x = 1 C. (cscx + cotx)2 = 1 D. csc2x + cot2x = 1
Edit: no one answered but I figured out that the right answer is A
Answer: A is the correct answer.
Step-by-step explanation:
Just did the question, followed OP's advice since no one answered. Good luck.
To make lemonade, you used one gallon of water, four quarts of lemon juice, and 32 ounces of honey. How much lemonade did you make?
Please HELP
1-) Solve the equation using the Properties of Equality.
11 − c = −17
2-)Solve the equation using the Properties of Equality.
1/2y + 1/5=1/2
HELP
If f(x)=-6x+12, then f^-1(x)=?
what would be the measure of angle DGF, if segment DG is a bisector of angle G
30 degrees.60 degrees.90 degrees.None of the choices are correct.
Ac=3x+6 and CD=2x+14 what is the value of x
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
We have been given that [tex]AC=3x+6[/tex] and [tex]CD=2x+14[/tex].
To solve for x, we are assuming that C is the midpoint of segment AD and we will equate both expressions as:
[tex]3x+6=2x+14[/tex]
[tex]3x-2x+6=2x-2x+14[/tex]
[tex]x+6=14[/tex]
[tex]x+6-6=14-6[/tex]
[tex]x=8[/tex]
Therefore, the value of x is 8.
A polygon with 12 sides is called a/an
In geometry, a dodecagon or 12-gon is any twelve-sided polygon.
hope this helps!
A chocolate bar measures 40 mm wide, 80 mm long, and 5 and 1 over 2 mm high. Will’s Wrapping Company is making a wrapper to cover the chocolate bar. Use the correct net and determine how much paper will be needed to make the wrapper
Answer:
Will’s Wrapping Company needs 7,720 mm of paper to wrap the chocolate bar.
You roll a six sided die and toss a coin. What is the probability of rolling an odd number and then getting heads?
Describe how the graph of y=|x|-12 is like the graph of y=|x| and how it is different?
Answer:
Both functions are similar, because basically they have the same behaviour, but the difference is that they start from a different vertex. The reason of this is because [tex]y=|x|-12[/tex] is a translation of [tex]y=|x|[/tex].
Basically, the first function is similar to the second one, but translated downwards 12 units.
So, they are similar in behaviour, we could say parallel, but different on the position of the vertex, the first is at y=-12, and the second one at y=0.
The graph of each function is attached, there you can observe the similarity and different we mentioned before.
A square prism has a base length of 5 m, and a square pyramid of the same height also has a base length of 5 m. Are the volume the same?
Use the information in the figure. If m∠F = 76°, find m∠E
Answer:
m∠E=52°.
Step-by-step explanation:
The given triangle has two sides equal. In isosceles triangle two sides are equal and base angles are equal.m∠E=m∠D.
Let m∠D=m∠E= x
The sum of angles in any triangle is 180°.
Or,
x+x+76= 180
Addling like terms :
2x+76=180
Subtracting 76 both sides,
2x=104.
Dividing by 2:
x=52.
m∠E= 52°.
which of the following fractions will convert to repeating decimals?
a. 1/3
b. 1/6
c. 1/4
d. 3/8
e. 1/5
Find the value of x in the equation √ x + 5 = √ x + 45.
PLEASE HELP!!!
How can one thirdx − 2 = one fourthx + 11 be set up as a system of equations?
3y − x = −6
4y − x = 44
3y + x = −6
4y + x = 44
3y − 3x = −6
4y − 4x = 44
3y + 3x = −6
4y + 4x = 44
Answer: Hello!
we have that:
one third x − 2 = one fourth x + 11
this means:
(1/3)x - 2 = (1/4)x + 11
if this are equal numbers, we can write it as:
(1/3)x - 2 = y = (1/4)x + 11
now we have the system of equations:
(1/3)x - 2 = y
(1/4)x + 11 = y
if we "simplify" the rational therm in each equation, we get:
3*(1/3)x - 3*2 = 3y
x - 6 = 3y
and
4*(1/4)x + 4*11 = 4y
x + 44 = 4y
Then our system of equations is:
x - 6 = 3y
x + 44 = 4y
Now we can subtract x in each side of both equations:
-6 = 3y - x
44 = 4y - x
Then the right option is the first one.
3y - x = -6
4y - x = 44
Simplify the sum. (8u3 + 8u2 + 6) + (4u3 – 6u + 3)
Answer:
[tex]12u^{3}+8u^{2}-6u+9[/tex]
Step-by-step explanation:
we have
[tex](8u^{3}+8u^{2} +6)+(4u^{3}-6u+3)[/tex]
Group terms that contain the same variable
[tex](8u^{3}+4u^{3})+8u^{2}-6u+(6+3)[/tex]
Combine like terms
[tex](12u^{3})+8u^{2}-6u+(9)[/tex]
[tex]12u^{3}+8u^{2}-6u+9[/tex]
lady runs 20 miles in 4 hours. write an equation representing the direct relationship between distance and time
The perimeter of a rectangle is 42 m. the length of the rectangle is 3 m more than twice the width. find the dimensions of the rectangle.
42/2 = 21
21 = w +2w+3
21 = 3w +3
18 =3w
w = 18/3 = 6
width is 6
length = 6x2=12+3 = 15
6+6+15+15 = 42
width = 6 m
length = 15 m
Practice writing linear equations in different forms. Line AB goes through the points A (0, –4) and B (6, 2). Which equation represents line AB? y – 4 = 3x y – 2 = 3(x – 6) y + 4 = x y + 6 = x - 2
the answer is c . y + 4 = x
What is the solution set of the following equation? 3x2 - 6x = 0
A card is chosen at random from a standard deck of 52 playing cards. What is the probability that the chosen card is a jack or a queen?
0.43 is 10 times as mush as what
The number that is 10 times less than 0.43 is 0.043, found by dividing 0.43 by 10.
To find the number that 0.43 is 10 times as much as, we need to divide 0.43 by 10. This is the same as multiplying by 10 raised to the power of -1, which is a division by 10.The operation looks like this:
0.43*10^{-1} = 0.043.
Therefore, 0.43 is 10 times as much as 0.043