a) Plot the graph of y = 2^x+2 for-4 ≤ x ≤ 4
b) Draw the asymptote.
c) Write the equation of the asymptote.
I need help with question c only
Answers
Answer:
y = 2
Step-by-step explanation:
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches ±∞.
Mathematically we write this as
[tex]f(x) \rightarrow a \text{ as } x \rightarrow \infty \text{ or } x \rightarrow -\infty[/tex]
A vertical asymptote at some constant a is where the function approaches ±∞.
Mathematically
[tex]f(x) \rightarrow \infty \text { or } f(x) \rightarrow -\infty \text{ as } x \rightarrow a[/tex]
The given function y = 2ˣ + 2 is an exponential function and exponential functions do not have a vertical asymptote
The horizontal asymptote can be found by determining what the function limit is as [tex]x \rightarrow \pm \infty[/tex]
As [tex]x \rightarrow +\infty[/tex] the function [tex]\rightarrow \infty[/tex]
As [tex]x \rightarrow -\infty[/tex] , [tex]2^x \rightarrow 0\\\\\\2^x + 2 \rightarrow 2\\\\[/tex]
So the equation for the horizontal asymptote is y = 2
The graph shows that at y = 2, the function is parallel to the line but does not touch the line
Related Questions
Other than the spots reserved for drivers with a disability, there are 285 parkingspots for monthly rentals and the rest are for hourly parking. How many spots arethere for hourly parking?
Answers
Given:
Total parking =1327
NO of spots for reserved for disabilities:
[tex]=12\times6[/tex][tex]=72[/tex][tex]No\text{ of spots for hourly parking=}1327-72-285[/tex][tex]No\text{ of spots for hourly parking=}970[/tex]The mass of a car is 2276kg rounded to the nearest kilogram.
The mass of a person is 60.6kg rounded to 1 decimal place.
Write the error interval for the combined mass, m, of the car and the person in the form _______
Answers
The error interval for car and person are:
2275 ≤ 2276 < 2276.5 and 60.55 ≤ 60.6 < 60.65 respectively.
Given, the mass of a car is 2276 kg.
we are asked to determine the nearest kilogram.
the car: rounded to the nearest kilogram
so 2275 ≤ 2276 < 2276.5
therefore, a = 2275.5
and b = 2276.5
The mass of a person is 60.6 kg.
we need to round it to 1 decimal place.
the person: rounded to 1 decimal place,
so, 60.55 ≤ 60.6 < 60.65
therefore, a = 60.55
and b = 60.65
Hence the error interval for the combined mass, m, of the car and the person is 2275 ≤ 2276 < 2276.5 and 60.55 ≤ 60.6 < 60.65 respectively.
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Questions in picture
Answers
A:
For the first graph the equation would be y=25x with y being the cost and x being the number of yards. Then put 40 for x so it is y=25(40) and solve.
The answer for graph is 1000
For the second table it costs 490 dollars to move 20 yards and 40 is double of 20 so double the cost.
The answer for table is 980
B:
The rate of change for graph is y=25x and that means for every yard shipped you pay 25 dollars
The rate of change for table is whatever the cost divided by the number of yards is i can't see the numbers
C:
In the first question the graph is 1000$ and the table is 980$ so the table would be cheaper
Solve
y (y- 8) = - 15
Answers
Answer:
y=5,3
Step-by-step explanation:
Whats the slope and y intercept of 21x+45y=-6
Answers
The line's equation is:
[tex]21x+45y=-6[/tex]To get slope and y-intercept, we have to re arrange this into slope intercept form, that is:
y = mx + b
Where
m is the slope
b is the y-intercept
Let's do this:
[tex]\begin{gathered} 21x+45y=-6 \\ 45y=-21x-6 \\ y=-\frac{21x}{45}-\frac{6}{45} \\ y=-\frac{21}{45}x-\frac{6}{45} \end{gathered}[/tex]So,
The slope is -21/45
y intercept is -6/45
Find the value of x.
20°
x = [?]°
(2x-8)°
Answers
Answer:
14
Step-by-step explanation:
the angle of 20° and the angle where it says (2x-8)° are the same.
Then find the number that substituted for x, multiplied by 2 and subtracted 8, gives 20°.
And it's 14.
Indeed:
([2×14]-8)° = 20°
Jessica owns a sword, a set of wooden nunchucks, a giant wooden club, and a deadly pair of fists. She also owns a wooden shield and a set of medieval knight's armor. If she can only take one weapon and one piece of defensive equipment, what is the probability she will choose something made of metal?
Answers
The probability of choosing something made of metal is 0.5.
Let the wooden shield and set of medieval knight's armor be a combination 1.
And the sword, a set of wooden nunchucks, a giant wooden club, and a deadly pair of fists be a combination 2.
Al the wooden piece of combination 2 will come under one category and the metal piece be in another category.
Similarly, in combination 1 wooden piece is in one category, and the metal piece is in another category.
Therefore, the probability of the combination of metal from combination 1 and combination 2 of the metal category would be,
(1 ÷ 2) × ((2 ÷ 4) + (1÷2)) = 0.5
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write an equation of the line with the given slope, m, and y intercept (0,b)
Answers
Given Data:
[tex]\begin{gathered} m=\frac{1}{4} \\ b=0 \end{gathered}[/tex]The general equation of a line passing through a point of cordinates (x, y) can be written as,
[tex]y=mx+b[/tex]Therefore substituting for m and b, we can write, the line equation as,
[tex]y=\frac{1}{4}x+0[/tex]Thus the equation is, y = (1/4)x.
Answer:
y = 1/4x
hope this helps
which equation represents the line that passes through the points -3 7 and 9 -1
Answers
EXPLANATION
Given ordered pairs: (-3,7) and (9,-1)
(x1,y1) (x2,y2)
The equation that represents the line that passes through the points will be given as:
y = mx + b
First, we need to calculate the slope:
[tex]\text{Slope = }\frac{(y2-y1)}{(x2-x1)}=\frac{(-1-7)}{(9-(-3))}=\frac{(-8)}{(12)}=-\frac{2}{3}[/tex]Now, taking either one pair, we can calculate the value of b in this way:
[tex]7=-\frac{2}{3}(-3)\text{ + b}[/tex][tex]7=\frac{6}{3}+b[/tex]Simplifying:
[tex]7\text{ = }2\text{ + b}[/tex]Clearing b:
[tex]7-2=5=b[/tex]Finally, the equation will be:
[tex]y=-\frac{3}{2}x+5[/tex]
LOLLL HELO HELP PLS PLS PLS
Answers
Answer: C
2 1/6 x 1 1/3 = 26/9 which = 2 8/9
Is it possible to draw a triangle with a 6 mm side an 8 mm side in a 90° angle between them
Answers
Given:
Is it possible to draw a triangle with a 6 mm side an 8 mm side and a 90° angle between them?
The sides of 6 mm and 8 mm and 90° angle between them, so, the sides will be the legs of a right-angle triangle
the hypotenuse of the triangle will be calculated using the Pythagorean theorem as follows:
[tex]h=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]So, the answer will be Yes, it is possible.
HELP ASAP BRAINLEST + 100 POINTS PLEASE I AM DESPERATE EASY 7TH GRADE
A TV show had 5.6 x 10^5 viewers in the first week and 4.1 x 10^5 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation.
9.7 x 10^10
9.7 x 10^5
4.85 x 10^10
4.85 x 10^5
Answers
Answer:
4.85 x 10^5
Step-by-step explanation:
First you want to find 5.6 x 10^5 into simplified form, which is 560000.
Then, you want to find 4.1 x 10^5 into simplified form, which is 410000.
Then you can add these numbers together to get 970000.
970000 into scientific notation is 9.7 x 10^5.
CORRECTION:
Answer should be based off of the AVERAGE viewers, not total.
Average viewers is 485000
485000 in scientific notation is 4.85 x 10^5
The average number of viewers over the two weeks are 4.85 x 10^5
A tv show had 5.6 x 10^5 viewers in the first week
and 4.1 x 10^5 viewers in the second week.
What is an average number:
This is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers.
To find the average number of viewers over the two weeks
Remove the decimal point.
5.6 x 10^5 write like this 560000
Similarly, 4.1 x 10^5 write like this 410000
Now, Solving the question
Therefore, the average will be
560000 + 410000
= 970000/2
=485000
=4.85 X 10^5
and 4.85 x 10^5
Thus , the average number of viewers over the two week 4.85 x 10^5
Can someone help me on this geometry assignment
Answers
Based on the triangle sum theorem, the measure of <RSP is: B. 49°
How to Apply the Triangle Sum Theorem?According to the triangle sum theorem, every triangle has a sum of 180 degrees when all its interior angles are added together.
Since lines PS and QR are parallel lines, therefore:
5y + 14 = 8y - 13 [alternate angles are congruent]
Solve for the value of y
5y - 8y = -14 - 13
-3y = -27
-3y/-3 = -27/-3
y = 9
(8y - 13) + 3x + (2x + 1) = 180 [triangle sum theorem]
8y - 13 + 3x + 2x + 1 = 180
8y - 12 + 5x = 180
Plug in the value of y
8(9) - 12 + 5x = 180
72 - 12 + 5x = 180
60 + 5x = 180
5x = 180 - 60
5x = 120
x = 120/5
x = 24
Measure of <RSP = 2x + 1 = 2(24) + 1
Measure of <RSP = 49°
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21 cookies are shared equally among 3 girls. How many
cookies does each girl receive?
Answers
Answer:7
Step-by-step explanation: you divide the amount of cookies by the amount of girls
21/3=7
The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c)....Question content area top rightPart 1September April
Answers
ANSWER :
EXPLANATION :
Find the perimeter of a rectangle with width 20.0 inches and length 21.8 inches. Round your answer to the nearest tenth.
Answers
Given:
Length of the rectangle is 21.8 inches.
Width of the rectangle is 20.0 inches.
To find the perimeter of a rectangle:
Using the formula, we get
[tex]\begin{gathered} P=2(l+w) \\ =2(21.8+20.0) \\ =2(41.8) \\ =83.6\text{ inches} \end{gathered}[/tex]Hence, the perimeter of the rectangle is 83.6 inches.
Companies also gather data on customer web use and preferences often without
their consent.
True
False
Answers
This is true, Companies also gather data on customer web use and preferences often without their consent.
What is data?
A set of discrete values called data is a collection of information that can describe amount, quality, fact, statistics, or just a series of symbols that can be further understood. A datum is a distinct state inside a collection of data. Typically, data is arranged into structures like tables that provide it additional context and meaning and can also be used as their own form of data in bigger structures. It's possible to use data as variables in a computation. Data can reflect both actual measures and abstract concepts. Data is employed often in practically every aspect of human organizational activity, including business and science. Stock prices, crime rates, unemployment rates, literacy rates, and census statistics are a few examples of data sets.
Companies sometimes gather data on customer web usage and preferences often without their consent. The main reason behind this dat collection is to suggest the best product or to show best advertisement based on the web usage and preferences.
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What is standard form of the parabola y - 4 = -(x - 1)^2
Answers
Answer:
Given that,
The equation of the parabola is,
[tex]y-4=-(x-1)^2[/tex]To find the standard form of the parabola.
Explanation:
Given equation is,
[tex]y-4=-(x-1)^2[/tex]From the definition we know that, standard form of the parabola is of the form,
[tex]y=a(x-h)^2+k[/tex]The standard form of the parabola is,
[tex]y=-(x-1)^2+4[/tex]Answer is: option B
[tex]y=-(x-1)^2+4[/tex]1/3 (2x - 1) = z for x
Answers
We need to solve the equation shown below for x:
[tex]\frac{1}{3}(2x-1)=z[/tex]Using distributive propery, a(b - c) = ab - ac , we can simplify the left hand side:
[tex]\begin{gathered} \frac{1}{3}(2x)-\frac{1}{3}(1)=z \\ \frac{2}{3}x-\frac{1}{3}=z \end{gathered}[/tex]We isolate the term with x and then divide the other side by 2/3 to get x = something...
[tex]\begin{gathered} \frac{2}{3}x-\frac{1}{3}=z \\ \frac{2}{3}x=z+\frac{1}{3} \\ x=\frac{z+\frac{1}{3}}{\frac{2}{3}} \end{gathered}[/tex]To simplify it (reduce), we can divide both terms by (2/3) and simplify. Shown below:
[tex]\begin{gathered} x=\frac{z}{\frac{2}{3}}+\frac{\frac{1}{3}}{\frac{2}{3}} \\ x=z\times\frac{3}{2}+\frac{1}{3}\times\frac{3}{2} \\ x=\frac{3z}{2}+\frac{1}{2} \\ x=\frac{3z+1}{2} \end{gathered}[/tex]The final answer:
[tex]x=\frac{3z+1}{2}[/tex]You are a math tutor at your school.
On the last day of school, you bring in a bag of 48 pieces of candy for your students.
You want to share the candy equally with your 6 students.
How many pieces of candy will each student get?
CLEAR CHECK
54 pieces per student
42 pieces per student
8 pieces per student
0.13 piece per student
Answers
Reduce the current rate of 48 pieces per 6 students to 8 pieces per one student. Divide 48 pieces by 6 students to get 8 pieces per student.
What is called in probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty. Probability and possibility are synonymous. It is a branch of mathematics that deals with the occurrence of a random event. The value ranges from 0 to 1. In mathematics, probability has been introduced to predict the likelihood of events occurring.The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
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If there is 1/3 of quantity A for every 4/9 of quantity B, how much of quantity A is there for 2/5 of quantity B?
Answers
Answer:
3/10 ths of A
Step-by-step explanation:
Find out how many 4/9 ths there are
2/5 / 4/9 = 2/5 * 9/4 = 18/20
Now multiply the number of 4/9ths ( which is 18/20) by 1/3
1/3 * 18/20 = 6/20 = 3/10ths of A
write the coordinate notation for the following:
Answers
rotation in the direction of 90°: (x,y) becomes (y,-x) rotation of (x,y) at 90 degrees counterclockwise results in (-y,x) Rotating (x, y) 180 degrees both clockwise and counterclockwise results in (-x,-y) Rotating (x,y) in a 270° clockwise direction (-y,x).Upon 360-degree rotation, a point with the coordinates (x, y) is produced.
How is rotation calculated?
The number of central angles multiplied by the size of each central angle gives the angle of rotation between the two points or vertices: rotational angle =m = m
The term "order of rotation" refers to how many times a figure appears the same after a full 360-degree rotation. The angle of rotation can also be used to compute the order of rotation. A figure's rotational order can be determined using the angle of rotation (360°). A line segment rotates at a 180° angle.
Precession, nutation, and intrinsic rotation are the names of these rotations.
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Find the average of the following set offractions (do not use decimals).{ 42, 1/8, 44, 5/8, 3/4 }
Answers
SOLUTION
The average of the 5 numbers become
[tex]\begin{gathered} \text{Average =}(\frac{42}{1}+\frac{1}{8}+\frac{44}{1}+\frac{5}{8}+\frac{3}{4})\text{ divided by 5} \\ \\ \text{Average = }\frac{336+1+352+5+6}{8}\text{ divided by 5} \\ \\ \text{Average = }\frac{700}{8}\text{ divided by 5} \\ \\ \text{Average =}\frac{700}{8}\times\frac{1}{5} \\ \frac{700}{40} \\ \\ \frac{70}{4} \\ \\ \frac{35}{2} \\ \\ \text{Average = 17}\frac{1}{2} \end{gathered}[/tex]Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points) Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed
Answers
Joe owes John 16$ he tells
his four kids to pay off the dept.
How much will each kid
pay off?
Answers
Answer: $4
Step-by-step explanation:
First, why are you making yo kids pay yo debt?
Second 16/4=4
An advertiser rents a rectangular billboard that is 44 ft wide and 20 ft tall. the rent is $15 per square foot. for a billboard twice as tall, the advertiser has to pay $26,400. is this reasonable? explain.
Answers
Yes; when the height is doubled, the area is also doubled (option D)
Explanation:width of the billboard = 44 ft
height of the billboard = 20 ft
the rent per square ft = $15
for a billboard twice as tall, the advertiser has to pay $26,400
We need to find the area of the billboard = width × height
Area = 44 × 20
Area of the billboard = 880 ft²
The rent for the whole area of the billboard = $15 × 880
The rent for the whole area of the billboard = $13,200
when the height is doubled = 2(height)
new height = 2(20) = 40 ft
The new area = 44 × 40 = 1760 ft²
The rent for the new area of the billboard = $15 × 1760
The rent for the new area of the billboard = $26400
The result in our calculation is the same as the amount the advertiser payed.
new height = 2(old height)
new area = 2(old area)
26400 = 2(13200)
We can conclude: it is reasonable
Yes; when the height is doubled, the area is also doubled (option D)
select functions f and g such that the ratio of function f to function g is equal to the function h.
Answers
What is required is that our choice should satisfy the equation:
[tex]f(x)\text{ = g(x) }\times\text{ h(x)}[/tex]By observation and trial, we obtain :
[tex]\begin{gathered} g(x)=x^2\text{ - x -2} \\ h(x)\text{ = x - 4} \end{gathered}[/tex]When we multiply, we have:
[tex]\begin{gathered} (x^2\text{ - x - 2) (x -4)} \\ =x^3-4x^2-x^2\text{ + 4x - 2x + 8} \\ =x^3-5x^2\text{ + 2x + 8} \end{gathered}[/tex]Hence,
[tex]f(x)=x^3-5x^2\text{ + 2x + 8}[/tex]In summary,
[tex]\begin{gathered} f(x)=x^3-5x^2\text{ + 2x + 8} \\ h(x)\text{ = x - 4} \\ g(x)=x^2\text{ - x -2} \end{gathered}[/tex]ANSWER PLS QUESTION ATTACHED
Answers
Answer:
40+80=a(exterior angle of a triangle is equal to the sum of two opposite interior angle)
c+95=a(same as above)
180-95=85(being straight angle)
b+40+85=180(sum of interior angles of triangle)
or,b=180-125
or,b=55
Answer:
a=120 b=60 c=25
Step-by-step explanation:
the following frequency data shows the number of States including the District of Columbia that favorite each party in the presidential popular vote in 1976 and 2012. Drag and drop the correct equations and inequalities into the boxes to complete the explanation
Answers
The conditional relative frequency that a state was won by the Democrat in 2012, given that a Democrat won the state in 1976 is: 12 (won by the Democrat in 2012 and also in 1976)/24(Total won by the Democrat in 1976)= 50 %
The conditional relative frequency that a state was won by the Republican in 2012, given that a Republican won the state in 1976 is: 12 (won by the Republican in 2012 and also in 1976)/27(Total won by the Republican in 1976)= 44.4 %
Since 44.4 % < 50%, the 2012 Republican candidate was slightly less likely to win a state that had voted for the party's candidate in 1976 than the Democratic candidate.
helpppppppppppppppppp
Answers
Answer:
33
Step-by-step explanation:
3! karma :)
