Find the asymptotes of the following functions
Answer:
a) y = -6/x has a vertical asymptote at x = 0
b) y = 1/(2·x) - 1 has two asymptotes;
1) A vertical asymptote at x = 0
2) A horizontal asymptote at y = -1
Step-by-step explanation:
The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity
a) The given equation is y = -6/x
Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0
b) The given equation is y = 1/(2·x) - 1
∴ y = (1 - 2·x)/(2·x)
The function has a vertical asymptote at x = 0
The function has an horizontal asymptote at y = -2/2 = -1
Whoever answers this question gets brainly
The instructions on a bottle of cough medicine state
that the dose for an adult is 20 milliliters. Tom’s
measuring device is marked in teaspoons. How many
teaspoons will Tom take for 2 doses during the day?
(Hint: 1 tsp ≈ 5 mL)
A 4 tsp
B 8 tsp
C 10 tsp
D 40 ts
Answer:
40
Step-by-step explanation:
Answer:
4.05768272
Step-by-step explanation:
BRAINLIEST!URGENT! Please help if you can. If you know the answer, please leave an explanation and I will mark you brainliest!
Nina is selling three types of energy bars at a market stall. She bought 50 Enerbars at 30p per bar and 150 Grainbars at 50p per bar from her normal supplier. She was also given 50 Amazebars as a promotion from a new supplier. Nina sells the bars for £2.20 and manages to sell all the Enerbars and Grainbars but only some Amazebars. She makes a profit of £402.80. How many Amazebars did she sell?
Answer:
24
Step-by-step explanation:
Given that:
Cost of each Enerbar = 30p
Number of Enerbars = 50
Cost of each grain bar = 50p
Number of grain bars = 150
Number of Amazebars = 50
Cost of each Amazebar = 0p (Because it was given as promotion)
Sales price of each bar = £2.20
Total profit earned = £402.80
All other bars were sold but Amazebars.
To find:
How many Amazebars were sold?
Solution:
First of all, let us have a look at the profit earned by selling each type of bar.
Profit is nothing but the difference between sales price and cost price.
Profit at selling each Enerbar = £2.20 - 30p = £1.90
Profit at selling 50 Enerbars = £1.90 [tex]\times[/tex] 50 = £95
Profit at selling each grain bar = £2.20 - 50p = £1.70
Profit at selling 50 grain bars = £1.70 [tex]\times[/tex] 150 = £255
Profit by selling Enerbars and grain bars = £95 + £255 = £350
Profit by Amazebars = £402.80 - £350 = £52.8
Number of Amazebars sold = Profit by Amazebars divided by Profit by selling one Amazebar
[tex]\Rightarrow \dfrac{\£52.80}{\£2.2}\\\Rightarrow \bold{24}[/tex]
An equiangular triangle has one angle of measure 2x+8. What is x?
Answer:
[tex]x=26\\[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:
[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].
Answer: x=10
Step-by-step explanation:
BRIDGE Arturo is designing a bridge for science class using parallel supports for the top and bottom beam. Find m angle2 if m angle1=60^
Answer:
Believe it or not, it would be 60 degrees.
Step-by-step explanation:
Here, we are working with ALTERNATE INTERIOR ANGLES. Since we know the beam supports for the top and bottom are parallel, 1&2 will be the same angle measurement.
Here is a diagram of an example of alternate interior angles, where m1=m2.
Answer:
Step-by-step explanation:
The volume of a cylinder is 176 cm and its height is 11 cm,
What is the length of the cylinder's radius?
Answer:
4cm
Step-by-step explanation:
The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,
V = πr²h
where V is volume, r is the radius, and h is the height.
Substituting the known values from the given,
176π cm³ = πr²(11 cm)
Find 80% of 14,236.
Enter the correct answer in the box.
Answer:
11388.8
Step-by-step explanation:
Answer:
11,388.8
Step-by-step explanation:
if 14,236 = 100℅
X. = 80℅
14,236*80℅ divided by 100℅
X= 11,388.8
Nick and eddie are both thinking of a number. Eddies number is 3/7 of nicks number. There is a difference of 52 between their two numbers. What are the two numbers
Answer:
nick's number = 91
eddie's number = 39
Step-by-step explanation:
n = nick's number
[tex]\frac{3}{7}[/tex]n = eddie's number
[tex]\frac{7}{7}[/tex]n - [tex]\frac{3}{7}[/tex]n = 52
[tex]\frac{4}{7}[/tex]n = 52
cross-multiply: 4n = 52(7)
4n = 364
n = 364/4 = 91
eddie's number: [tex]\frac{3}{7}[/tex] · 91 = 273/7 = 39
Nick's number is 91
Eddie's number is 39
What is expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given,
Eddie's number is 3/7 of Nick's number
Let Nick's number be x
Then Eddie's number = 3x/7
Difference of the numbers is 52
x - 3x/7 = 52
(7x - 3x)/7 = 52
4x/7 = 52
4x = 52×7
x = 364/4
x = 91
Another number = 3x/7
= 3(91)/7
= 3 × 13
= 39
Hence, 91 is Nick's number and 39 is Eddie's number.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ5
Myra gets paid at home for doing extra chores. Last week, she did 5 loads of laundry and 8 loads of dishes, and her parents paid her $18. The week before, she finished 4 loads of laundry and 6 loads of dishes, earning a total of $14. How much does Myra earn for completing each type of chore?
Answer: Laundry = $2
Dishes= $1
Step-by-step explanation:
Let the amount paid for doing laundry be x
Let the amount paid for doing dishes be y.
Based on the information in the question, this can be formed in an equation as:
5x + 8y = 18 ..... i
4x + 6y = 14 ...... ii
Multiply equation i by 4
Multiply equation ii by 5
20x + 32y = 72 ...... iii
20x + 30y = 70 ...... iv
Subtract iv from iii
2y = 2
y = 2/2 = 1
Dishes cost $1
Since 5x + 8y = 18
5x + 8(1) = 18
5x = 18 - 8
5x = 10
x = 2
Laundry cost $2
 tell me how to answer this please I WILL MARK BRAINLIEST
Answer:
It equals 3
Step-by-step explanation:
To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.
Please help!
And explain the answers too!
Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?
Answer:
31 1/2 yards
Step-by-step explanation:
In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.
2.25 * 14 = 31.5 or 31 1/2 yards
The average blink last one-tenth of a second. If you blink 14,000 times per day, for how many seconds are your eyes closed while you’re awake? Divide this number by 60 to determine the number of minutes per day your eyes are closed while awake. (2 pts.)
Answer:
14?
Step-by-step explanation:
The distance that an object covered in time was measured and recorded in the table below.True/False: The distance covered is directly proportional to the time.
True
False
ASAP
Answer:
true
Step-by-step explanation:
did the test
Answer: false
Step-by-step explanation:
Find each function value f(-7) if f(x) = 3x + 6
Answer:
-15
Step-by-step explanation:
3*-7=-21+6=-15
Answer:
Step-by-step explanation:
first multiply -7 and 3 since -7 is the element of the function (x)
then you should get (-21)
now add 6 and you answer should be (-15)
A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle
For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?
Answer:
The average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Step-by-step explanation:
at x₁ = 7, f(x₁) = 8
at x₂ = 60, f(x₂) = 27
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [27 - 8] / [60-7]
= 19 / 53
= 0.36
Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.
For the equation 2x + 7 =30, x = 3
O True
O False
Answer: False
=============================================================
Explanation:
To see if the x value is a solution or not, we plug it into the equation given
2x+7 = 30 .... original equation
2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3
6 + 7 = 30 .... multiply 2 and 3 to get 6
13 = 30 ...... add 6 and 7 to get 13
We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.
That's why the overall claim is false.
Select the correct answer. What is the solution of
[tex] \frac{5}{2}x - 7 = \frac{3}{4}x + 14[/tex]
A. x = -6
B. x = 6
C. x = 8
D. x = 12
Answer:
Option D
Step-by-step explanation:
[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]
[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]
[tex] = > \frac{7x}{4} = 21[/tex]
[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]
find the values of z and y plssss
Answer:
z is 23 and i dont see a y
Step-by-step explanation:
Alan buys a basket of apples on sale for $7 before tax. The sales tax is 12.5%. What is the
total cost for the basket of apples?
Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Here, we want to set up equations
There are 29 problems, so adding up the number of individual problem types will give 29
x + y = 29 ••••••(i)
Let us work with points now;
x is worth 5 points, y is worth 2 points
Thus, mathematically;
5x + 2y = 100 ••••••••••(ii)
Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .
Answer:
between one and 6
Step-by-step explanation:
musrbe the answer
Answer:
Just plot one point on (0, 5) and the other one on (6, 8)
Step-by-step explanation:
You just plot (0, 5) then you go 1 up and 8 to the right and plot another point there.
Hope it helps!
what is the value halp me
Answer- This is a fairly simple calculation, I got a -1/5,
Step-by-step explanation:
This is the way solved it, just substitute the x value for 1, and just solve. Hope it helps.
These three points are collinear. (3, 6), (-2, -9), (0, -4)
True False
Answer:
False
Step-by-step explanation:
to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear
between (-2, -9) and (0, -4):
m=(y2-y1)/(x2-x1)
=(-4-(-9))/(0-(-2))
=5/2
between (0, -4) and (3,6):
m=(y2-y1)/(x2-x1)
=(6-(-4))/(3-0)
=10/3
because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)
4.An online music service charges a $12.00
registration fee plus $1.50 for each song
downloaded. If Mary Beth has a gift card with
$60.00, then how many songs can she
download?
e pay for
Answer:
60 - 12 = 48
48/1.5= 32
32 songs
Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a
total of 28 candles. How many of each candle did she sell? Use x for the small candles and y for the large
candles.
A rational number, by definition, is any number that can be written as a
or two integers.
O quotient
O difference
sum
product
Answer:
Two Integers
Step-by-step explanation:
Find the coordinates of the point where y-4x=1 crosses the y axis
Answer:
The coordinate is (0,1) .
Step-by-step explanation:
A linear equation is given to us and we need to find the point at which it will cut y axis . The given eqution is y - 4x = 1. We know that at y axis x coordinate is 0. So on substituting x = 0 , we have ;
Put x = 0 :-
⇒ y - 4x = 1
⇒ y - 4*0 = 1
⇒ y - 0 = 1 .
⇒ y = 1 .
Hence the required co ordinate is ( 0 , 4 ).