Answer:
B. vertical asymptote: x = 1
horizontal asymptote: y = 0
Step-by-step explanation:
1) Vertical asymptotes of a function are determined by what input of x makes the denominator equal 0. So, let's set the denominator, [tex]x^3-1[/tex], equal to 0 and solve for x:
[tex]x^3-1= 0\\x^3 = 1\\\sqrt[3]{x^3} = \sqrt[3]{1} \\x = 1[/tex]
Thus, the vertical asymptote is x = 1.
2) If the degree of the polynomial in the denominator is greater than the one on the top, the horizontal asymptote is automatically y = 0. Thus, the horizontal asymptote is y = 0.
Answer:
B. x=1, y=0
Step-by-step explanation:
Vertical asymptote: denominator approximate 0
(x²+x-6)/(x³-1) ---> ±∞ as x ---> 1
x³-1 = 0
x³ = 1
x = ∛1 = 1
Horizontal asymptote: If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is always the x axis, i.e. the line y = 0
degree of the numerator: 2
degree of the denominator: 3
2<3
Horizontal asymptote: y = 0
What is the median of this group of numbers?
40, 40, 50, 50, 60, 80, 80, 80
Answer:
65
Step-by-step explanation:
Answer:
Step-by-step explanation:
given:
40, 40, 50, 50, 60, 80, 80, 80
There are 8 numbers in the data set. To split this data set down the middle, that is between 50 and 60:
40, 40, 50, 50 || 60, 80, 80, 80
So now to get the median you have to do the following/
(50+60)/2 which equals 55.
Median is 55.
The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides. 20
Answer:
Internal angle = [tex]160^\circ[/tex]
Number of sides = 18
Step-by-step explanation:
Given that:
We have a regular polygon with number of sides unknown.
Measure of an exterior angle of the polygon = [tex]20^\circ[/tex]
To find:
Measure of an interior angle and the number of sides of the polygon?
Solution:
Let us have a look at the relation of sum of external angles.
Sum of one internal angle and its corresponding external angle = [tex]180^\circ[/tex]
Internal angle + external angle = [tex]180^\circ[/tex]
Internal angle = [tex]180^\circ[/tex] - [tex]20^\circ[/tex] = [tex]160^\circ[/tex]
Sum of all the external of a regular polygon = [tex]360^\circ[/tex]
All the external angles will be equal because it is a regular polygon.
Let the number of sides = [tex]n[/tex]
Therefore,
[tex]n \times 20^\circ = 360^\circ\\\Rightarrow n = 18[/tex]
Therefore, the answers are:
Internal angle = [tex]160^\circ[/tex]
Number of sides = 18
i got work due in 6 mins pls help me ill give brainliest 5 stars and thank you
Answer: ↓↓↓
Step-by-step explanation:
a. 8 + x + 2
Combine like terms
x + 10 or 10 + x
b. 14 + y - 6
Combine like terms
8 + y or y + 8
c. 7 - n + 10
Combine like terms
17 - n or -n + 17
Un comerciante compro un lote de 15 calculadoras a 40 dolares cada una .Vendio 5 de ellas ,a orecio de promoción por100 dolares .Calcula el precio de venta de cada una de las restantes calculadoras para que gane 150 en la operación
The selling price of each of the remaining calculators should be $65 so that the merchant makes a profit of $150 in the entire operation.
The merchant bought a batch of 15 calculators at $40 each, so the total cost of the batch is:
Cost price = 15 calculators × $40/calculator
= $600
The merchant sold 5 calculators at a promotional price of $100 each.
So, the revenue from selling these 5 calculators is:
Revenue = 5 calculators × $100/calculator
= $500
Now, we need to calculate the profit made from the sale of these 5 calculators:
Profit = Revenue - Cost price
Profit = $500 - $600
= -$100 (Negative because the merchant incurred a loss on these 5 calculators)
The merchant wants to make a profit of $150 in the entire operation. So, adding the profit from selling the first 5 calculators:
Desired profit = $150
Current profit = -$100
Additional profit needed = Desired profit - Current profit
Additional profit needed = $150 - (-$100)
= $250
The merchant has 15 - 5 = 10 calculators left to sell.
We need to distribute the additional profit of $250 among the remaining 10 calculators:
Additional profit per calculator = Additional profit needed / Number of remaining calculators
Additional profit per calculator = $250 / 10 calculators
= $25
Now, let's calculate the selling price of each of the remaining calculators:
Selling price = Cost price + Additional profit per calculator
Selling price = $40 + $25 = $65
So, the selling price of each of the remaining calculators should be $65.
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Complete question:
A merchant bought a batch of 15 calculators at 40 dollars each. He sold 5 of them at a promotional price of 100 dollars each. Calculate the selling price of each of the remaining calculators so that he makes a profit of 150 dollars in the operation
3+p=8 what’s does p equal
Answer:
p=5
Step-by-step explanation:
1/2 (3x – 7) = 2(x - 3)
Graph the line that passes through the points (6, 8) and (2, -2)and determine the equation of the line.
Answer:
y = 2.5x – 7
or
5/2x- -7
In a right triangle, the measure of one angle is twenty more than four times a number. The other angle is three times a number. What is the measure of the angles in degrees?
Ehich of thr following expressions has a Simplified value of 3A -2?
Two identical sets of data are shown below.
Data Set 1: 58, 59, 62, 64, 67, 67
Data Set 1: 58, 59, 62, 64, 67, 67
An outlier is added to Data Set 2. Which of the following statistics must be greater in Data Set 2 when compared to Data Set 1 now that the outlier has been added? Select TWO that apply
mean
standard deviation
mode
median
range
Answer:
Standard deviation RangeStep-by-step explanation:
Two identical sets of data are:
Data Set 1: 58, 59, 62, 64, 67, 67 Data Set 2: 58, 59, 62, 64, 67, 67An outlier is added to Data Set 2. This is the number that is either smaller than 58 or greater than 67.
Mean
No, it could be greater or smallerStandard deviation
Yes, it will increase with an outlier added because the difference between the added number and the mean will be the greatest.Mode
No, it could be greater or smallerMedian
No, it could be greater or smallerRange
Yes, it will increase as either lower or the higher value will be added to the data set.PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
A repair technician replaces cracked screens on phones. He can replace 5 screens in 3 hours. ( Let s represent the screens and h represent the time)
1. Write an equation you can use to represent the above situation.
2. Use your equations to determine how long it would take to replace 34 screens.
Answer: 1. s*h 2. 20.4 hours
Step-by-step explanation: 1. s*h
2. 20.4 hours hope this helps.
Consider angle θ in Quadrant I, where cosθ = 513 . What is the value of sinθ?
Answer:
12/13
Step-by-step explanation:
According to SOH CAH TOA;
cos theta = adjacent/hyp = 5/13
adj = 5
hyp = 13
Get the opposite
opp = √13²-5²
opp = √169-25
opp = √144
opp = 12
Get sin theta
sin theta = opposite/hyp
sin theta = 12/13
Hence the value of sin theta is 12/13
find the zeros of the function by factoring.
3x^2+10x=8
Answer:
x = -4, 2/3
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0FactoringStep-by-step explanation:
Step 1: Define
3x² + 10x = 8
Step 2: Find Zeros
Rewrite in SF: 3x² + 10x - 8 = 0Factor: (x + 4)(3x - 2) = 0Solve for x: x = -4, 2/3momom pur $550 into a savings account for one year. The
rate of interest on the account mos 61% How much was
doilers and cents (Round to the
The nearest cent)
Step-by-step explanation:
you have to divide first then you round
40% of the sandwiches on a lunch platter are ham. If there are 8 ham sandwiches, how
many sandwiches are on the lunch platter in all?
Answer:
20 sandwiches is the total
Step-by-step explanation:
20 x 0.40 = 8
Jeffrey is making cookies to sell at the school fair. For one dozen cookies, he needs 2 ¼ cups of flour. if he has 33 ¾ cups of flour, how many dozen cookies can he make? How many total cookies can he make?
Please help me with this math problem
Answer
Pretty sure he can make 15 dozens. Which means he can make 180 cookies.
Step-by-step explanation:
First, you would need to find how many times 2 1/4 cups can go into 33 3/4 cups. This would let you know how many dozens he can make. You would get an answer of 15 dozens. Then, you would multiply 15 times 12. You would multiply by 12 because a dozen is 12. You would then get an answer of 180. This means that he can make 180 cookies.
Hope I helped! :) Sorry if it's wrong :(
What best describes the pair of angles below?
Answer:
i want to see the choices
Match each algebraic expression to the correct simplified expression.
x
X
10n- 3m
(11n - 3m) - n
X
8x + 5y
3m - (3n + 10m)
3x - 7y - (-2x) - Y
-7m - 31
[10y - (-9x)] - (5y + x)
X
5x - 8y
Plss help
Answer:
!
Step-by-step explanation:
please please please help
Answer:
Equation 1: 15+7h
Equation 2: 10h
Sorry can't graph for you
Step-by-step explanation:
A web designer is placing images on a website using polar coordinates along the lines shown in the diagram. Assume that the intersection of the lines is the pole and the right horizontal segment is the polar axis.
Which equations represent the lines on which the designer places the images? Check all that apply.
Answer: 1st, 3rd, and 5th
Step-by-step explanation: Big trust
Answer:
1st, 3rd, 5th
Step-by-step explanation:
just did it on edge and got it right
PLEASE MARK ME BRAINLIEST
You scred a 95% on your math quiz. The quiz was out of 60 points. How many points did you get?
Answer: You got 57 points out of 60.
Step-by-step explanation: Hope this helps :)
Anyone know???????????
Answer:
I cant help I wish I could but its a test
Step-by-step explanation:
ILL GIVE BRAINLIEST.
The number of students participating in this year's fundraiser is 6 more than
times the
number of students who participated last year. If x represents the number of students who
participated last year, which expression represents the number of students participating in
this year's fundraiser?
Answer:Simplifying
(5x + -6)(5x + -3) = 0
Reorder the terms:
(-6 + 5x)(5x + -3) = 0
Reorder the terms:
(-6 + 5x)(-3 + 5x) = 0
Multiply (-6 + 5x) * (-3 + 5x)
(-6(-3 + 5x) + 5x * (-3 + 5x)) = 0
((-3 * -6 + 5x * -6) + 5x * (-3 + 5x)) = 0
((18 + -30x) + 5x * (-3 + 5x)) = 0
(18 + -30x + (-3 * 5x + 5x * 5x)) = 0
(18 + -30x + (-15x + 25x2)) = 0
Combine like terms: -30x + -15x = -45x
(18 + -45x + 25x2) = 0
Solving
18 + -45x + 25x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(3 + -5x)(6 + -5x) = 0
Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:
Simplifying
3 + -5x = 0
Solving
3 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3
Combine like terms: 0 + -3 = -3
-5x = -3
Divide each side by '-5'.
x = 0.6
Simplifying
x = 0.6
Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:
Simplifying
6 + -5x = 0
Solving
6 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6
Combine like terms: 0 + -6 = -6
-5x = -6
Divide each side by '-5'.
x = 1.2
Simplifying
x = 1.2
Solution
x = {0.6, 1.2}
Step-by-step explanation:
please brainliest this is as good as i could get to an answer to your question
Answer:
5x/3+6
Step-by-step explanation:
The length of a rectangle is 5 yd less than twice the width, and the area of the rectangle is 52 yd^2. Find the dimensions of the rectangle.
Answer:
the length is 8 and the width is 6.5
Step-by-step explanation:
6.5 x 2 = 13 - 5 = 8 x 6 = 52
The Calculator can confirm.
can someone help me plz
Answer:
y = 2x - 10
Step-by-step explanation:
The slope is 4 + 4 / 7 - 3 = 8 / 4 = 2
y = 2x + b
-4 = 6 + b
b = -10
Thank, 5 star, braniliest if helpful
2) Write down the slope of the line.
a) Joining P(1,1) Q(2,3).
b) parallel to the line joining A(-1,5) & B(-6,-7).
c) perpendicular to the line joining B(2,-3) & S(-4,1)
Answer:
(a) m =(y2-y1)/(x2-x1)
m=(3-1)/(2-1)
m=2
is this function linear or exponential?
Answer:
This function is not linear.
Four siblings buy a gift for their father on his birthday. Each sibling contributes (pays) the same amount of money towards the gift.
The gift ends up coming to $63 and after paying for the gift, there is some money left over which the siblings equally split.
Write an expression to represent the amount of money each sibling will get back after the gift is paid for. Use x to represent the amount of money paid by each sibling.
If each sibling contributed $18 towards the gift, how much money did each sibling get back?
tip: they have paid a total of 40 dollars, so subtract what they bought, which should be 3 times each of the items added together.
Answer:
63÷4=$15.75(each sibling gave which made it up to $63)
63-40=$23(amount added together-amount paid)
$23÷4=$5.75(each sibling got back)
63-5.75x
if each contributed $18:
18×4=$72(each contribute 18 dollars so multiply by 4 because 4 siblings)
72-40=32(minus 40 from amount they contributed)
32÷4=$8(divide by 4 to see what each sibling got)
Each sibling got back $8
Answer:
23.75
Step-by-step explanation:
its c 4.75x5
help pls..............
Can somebody help me with the last 2. Will mark brainliest.