The limit is x---->4-
The negative show that x approaches from the left
Now
As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.
Let's pick a Number
Say 3.99
Substitute this... You have
3.99/3.99-4
3.99/-0.01
If we choose x to be 3.999
we will have
3.999/-0.001
Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY
Why?
As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result
In our case... The denominator is negative... So it Will Approach a very Huge Negative Number
Hence
Answer.. X WILL APPROACH NEGATIVE INFINITY.
Vertical asymptotes are the zeroes of the denominator of a function
The denom. is x-4
Equate to zero to get the asymptote
x-4=0
x=4
Hence... There will be a vertical asymptote at x=4.
Have a great day!
Answer: -3
Step-by-step explanation: x divided by x = 1 and 1 - 4 = -3
Find the m∠r and m∠y
r = 88.5
y = 3/4
Step-by-step explanation:
From the lower triangle,
97 - 2x = 4x -2
Collecting all similar terms, we get
6x = 99 or x = 16.5
From the upper triangle, we can see that
5x + 6 = r ---> 5(16.5) + 6 = r or r = 88.5
Since the sum of all the interior angles of a triangle is equal to 180, we can write
4y + (5x + 6) + r = 180 ---> 4y + 5(16.5) + 6 + 88.5 = 180
4y = 3 or y = 3/4
pls help I need help on this!!
Answer:
where are the angles or image
What does it mean to use the cosine value of an inverse of tan θ?
I attached the question I'm just confused.
Will it be 60°?
Answer:
[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]
Step-by-step explanation:
we are given a inverse trig
we want to figure out the value of [tex]\theta[/tex]
in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°
therefore,
the value of theta is 120°
likewise by unit circle the value of sine is
[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]
In the expression 34% of 60, what
operation does the word "of" mean?
Answer:
Means to Multiply
Step-by-step explanation:
34% times 60
HELP PLEASE!!!
The circumference of a circular field is 276 yards. What is the diameter of the field?
Round your answer to the nearest hundredth.
find the mean,median and mode for x,2x,3x,4x,5x
Answer:
Mean: 3x
Median: 3x
Mode: None
Step-by-step explanation:
The mean is the sum of all the numbers divided by how many there are.
x + 2x + 3x + 4x + 5x = 15x and 15x/5 = 3x. So the mean is 3x.
The median is the number in the middle when the values are in order from least to greatest. The median is 3x.
The mode is the number that appears most often in the data set. In this case, the mode is none because no number appears more than the other numbers.
which of the following is the solution set of the equation below:
Answer:
D
Step-by-step explanation:
i think you know this already but it's D!
Question is in the photo below
Answer:
A
Step-by-step explanation:
mark me brainliest pls
Answer:
A. 24
Step-by-step explanation:
The angle formed by two secants intersecting outside of a circle is equal to half of the difference of the intercepted arcs.
In other words, ∠1 is 104 minus 56, divided by 2.
[tex]\frac{104-56}{2} =\frac{48}{2}= 24[/tex]
Does anyone know c & d please
Answer:
c = 100 or 10^2
d = 3125 or 5^5
Step-by-step explanation:
c. the answer for C is 10^2 because you just subtract the exponents same goes for d.
Which additional statements are required to prove△ABC ~=△MNO using SAS postulate, if C~= O?
Step-by-step explanation:
To prove that two triangles are congruent by SAS, two sides and the INCLUDED angle in the first triangle must be congruent to the corresponding two sides and INCLUDED angle in the second one.
Which answer choice correctly identifies the extraneous information in the problem?
Anna babysat 2 children on Saturday night. She charges $8 an hour to babysit. She wants to save the money she earns babysitting to buy a stereo system that cost $225. If Nina babysat for 5 hours, how much money did she earn?
A. She charges $8 an hour and babysat for 5 hours.
B. She babysat 2 children on Saturday night and she wants to buy a stereo system that costs $225.
C. She babysat 2 children on Saturday night and she charges $8 an hour to babysit.
D. She wants to save the money she earns babysitting to buy a stereo system that costs $225 and she babysat for 5 hours.
Answer: B
explanation: I took the test ^w^
If Nina babysat for 5 hours, then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Anna babysat 2 children on Saturday night.
She charges $8 an hour to babysit
She wants to save the money she earns babysitting to buy a stereo system that cost $225
If Nina babysat for 5 hours, then we need to find how much money money did she earn.
8/225=5/x
Apply cross multiplication
8x=225(5)
8x=1125
x=1125/8
x=140.6=141
Hence, If Nina babysat for 5 hours, then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem
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What is the most specific name that can be given to a figure with the following coordinates?
(-10, 8), (-7, 13), (3, 7), and (0, 2)
A. rectangle
B. square
C. trapezoid
D. parallelogram.
Answer:
a. rectangle
Step-by-step explanation:
i just used desmos so i have no idea how to explain it
factor 8x^2+ 30x - 4x + 15
Answer:
(2x+5)x(4x+3)
Step-by-step explanation:
have a nice day
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer: 12 km\h north
Step-by-step explanation:
I actually have good guesses
Velocity = 12 km/h
-
Velocity can be defined as the division between distance traveled and the time it took for that distance to be traveled:
Velocity = Distance / Time
With the above information in mind, we can calculate the velocity of the bicycle:
Velocity = 18 km / 1.5 h
Velocity = 12 km/h
Thus the velocity of the bicycle is 12 kilometers per hour.
HELP!!!! if you answer you get 20 points.
Answer:
Very last choice is the answer.
Step-by-step explanation:
Remark
The thing that is most important is that the horizontal line connect h and the radius is parallel to the cut of the sphere if it was placed right in the middle. That line swings around as though the center was a pivot.
Solution
So what you have is a circle when that line goes around that part of the sphere. To find the length of that line, use the Pythagorean Theorem. Call the line r1.r1 ^2 = r^2 - h^2So the area is pi * r1^2Area = pi (r^2 - h^2)The very last one is the answer.Homework please help
Answer:
c. infinitely many solutions
Step-by-step explanation:
hope this helps :)
Given the data set 3,4,1,12,8,3,9,5,what is the median?
Answer:
4.5
Step-by-step explanation:
Put numbers in order, 1,3,3,4,5,8,9,12
Divide by 2 because there are 2 numbers
Because 4.5 is in the middle of 4 and 5 that is your median
What is (4x-3)(7x+6)?
Answer:
28x^2+3x-18
Step-by-step explanation:
Formula: (a+b)(a+b) = a^2 + a*b + a*b + b*b
Following this: 28x^2 -21x +24x -18
Then you combine like terms: 28^2 +3x-18
hope this helped!! :)
Answer:
[tex]28x^{2} + 3x - 18[/tex]
Is this a right triangle?
Answer:
Yes.
Step-by-step explanation:
A right triangle, by definition, must have at a 90° angle, typically denoted by a square. In the given picture, there is a square within the triangle where an angle is, denoting that it is a right angle. ∴ by definition given above, this is a right triangle.
~
Ten out of every 32 people
surveyed play Among Us.
What percent of people
surveyed play Among Us?
Answer:
5%
Step-by-step explanation:
There are 7 students participating in a spelling bee. In how many ways can the students who go first¸ second¸ third¸ and fourth be chosen?
Answer:
840
Step-by-step explanation:
7 * 6 * 5 * 4 = 840
The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.
What is Permutation?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth = ⁷P₄ = 840
Hence, The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.
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Combine like terms
1.5x + 3y + 5 + 4x + 3y + y + 8
Answer:
9x+7y+13
Step-by-step explanation:
add all the x's, y's, and no exponents together
help me plssssss it’s due tonight!!
Answer:
B. 3x+1
Step-by-step explanation:
(3x+3)+(2x+1)+(4x+2)=9x+6
(12x+7)-(9x+6)=3x+1
Please enter the missing number: 4, 8, 14, 22, ?
A. 26
B. 28
C. 32
D. 36
E. 40
Answer:
C) 32
Explanation:
it's adding by 4, 6, 8, and then 10; 22 + 10 = 32, so C will be the answer.
Hope this helps!
PLEASE HELP !! WILL MARK BRAINLIEST
Answer:
(8,-2)
Step-by-step explanation:
160 m of fencing to enclose a quadrilateral shape pen (3 sided) for a children's play area. Determine the shape of the children's play area that gives the maximum area.
Answer:
A square of side length 40 m will give the maximum area of the play area
Step-by-step explanation:
Mathematically, it has been established that a square gives the maximum area of a quadrilateral
Hence, for us to have a maximum area of the given perimeter, we have to divide the perimeter by 4 to get the side length of the square
From what we have, we know that the perimeter of the fencing is 160 m
To get the side length, we divide the perimeter by 4
Side length of the shape would be 160/4 = 40 m
iready which expression is equivalent to the expression shown
Answer:
7^12
Step-by-step explanation:
When dividing two exponents by the same base, it is the same as subtracting the power (14-2).
Please help me due in 1 hour, i'll give 5 stars and lots of points.
this table shows how many males and females attended two different movies.
Answer:
B
Step-by-step explanation:
Find the break - even points for company X, which sells all it produces, if the variable cost per unit is $3, fixed costs are $2 and YT R = 5√q, where q is the number of thousands of units of output produced.
Given:
The variable cost per unit is $3, fixed costs are $2.
The revenue function is:
[tex]Y_{TR}=5\sqrt{q}[/tex]
where q is the number of thousands of units of output produced.
To find:
The break - even points for company X.
Solution:
The variable cost per unit is $3, fixed costs are $2.
So, the cost function is:
Total cost = Fixed cost + Variable cost × Quantity
[tex]Y_{TC}=2+3q[/tex]
The revenue function is:
[tex]Y_{TR}=5\sqrt{q}[/tex]
At break - even points the profit is zero. It means the cost and revenue are equal.
[tex]Y_{TC}=Y_{TR}[/tex]
[tex]2+3q=5\sqrt{q}[/tex]
Squaring both sides, we get
[tex](2+3q)^2=(5\sqrt{q})^2[/tex]
[tex]2^2+2(2)(3q)+(3q)^2=25q[/tex]
[tex]4+12q+9q^2-25q=0[/tex]
[tex]4-13q+9q^2=0[/tex]
Splitting the middle term, we get
[tex]4-4q-9q+9q^2=0[/tex]
[tex]4(1-q)-9q(1+q)=0[/tex]
[tex](4-9q)(1-q)=0[/tex]
Using zero product property, we get
[tex]4-9q=0[/tex] and [tex]1-q=0[/tex]
[tex]q=\dfrac{4}{9}[/tex] and [tex]q=1[/tex]
[tex]q\approx 0.444[/tex] and [tex]q=1[/tex]
Therefore, the break even points are 0.444 and 1.
What is the measure of angle P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠P= °
The measurement of angle P in the diagram given in the question is 61.93 °
Trigonometric ratiosThe trigonometric ratios which has been proven as regarding right angle triangles are given below:
Sine θ = Opposite / Hypothenus
Cos θ = Adjacent / Hypothenus
Tan θ = Opposite / Adjacent
With above information in mind, we can easily determine the value of angle P in the question. This is illustrated below:
How to determine the value of angle PFrom the question given above, the following data were obtained:
Hypothenus = 17 cmOpposite = 15 cmAdjacent = 8 cmAngle P =?Sine θ = Opposite / Hypothenus
Sine P = 15 / 17
Sine P = 0.8824
Take the inverse of sine
P = Sine⁻¹ 0.8824
P = 61.93 °
Thus, the value of angle P in the diagram is 61.93 °
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