Which description compares the vertical asymptote(s) of Function A and Function B correctly?
Function A: f(x)= 1/ x+4
Function B
Both functions have a vertical asymptote at x=−4 .
Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x = 3.
Function A has a vertical asymptote at x = 4.
Function B has a vertical asymptote at x = 2.
Function A has a vertical asymptote at x=−4x=−4 .
Function B has a vertical asymptote at x = 2.
Answers
Function A has a vertical asymptote at x = -4.
The graph B has vertical asymptote is 2.
We have given function
A : f(x)=1/(x+4)
Since the rational function has the vertical asymptote at x=-4 then the denominator of function f(x) contains the term (x+4)
Function B :
What is the vertical asymptote?
A vertical asymptote is is a vertical line that guides the graph of function but is not part of it.
So from the graph we can see that the graph does not pass from the point at x=2
Therefore, the vertical asymptote is 2.
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Related Questions
Jasmine and Carlotta are sisters and each have their own savings together they borrowed $28 from their brother to go to the movies.Each girl has to pay back an equal amount.Carlotta also owes her brother $6,which expression represents the change in Carlotta’s savings after she repays her brother
Answers
hopes this helps :)
The expression which shows the change in Carlotta's savings is x-8 if her she owes her brother $6.
What is expression?An expression is a combination of numbers, symbols and variables but not in equal to form.
How to form an expression?In the problem Jasmine and Carlotta borrowed $28 from their brother. Since both need to pay back equally so Carlotta needs to pay back $14 but she owes 6 from her brother so she now has to pay only 8.
Let the savings be x
in this way only $8 needs to be subtracted from savings.
The expression will be = x-8.
Hence the expression which shows the change in savings is x-8.
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a cylinder shaped paint can has a diameter of 10 cm and a height of 30. what is the volume of the paint can when it is 30% full? use 3.14 to approximate pi
WILL pick brainliest if correct!!!
Answers
.. = 3.14*(5 cm)^2*(0.30*30 cm)
.. = 706.5 cm^3
Isabella spends $4.87 on paintbrushes and paint. How many of each item does she buy? Explain how you found your answer. Paint brush=$0.95Paint=$0.75
Answers
Let
x-----------------> number of paintbrushes----------- > $0.95 each
y---------------- > number of jar of paint-------------- > $0.99 each
we know that
0.95x+0.99y = $4.87
using a graph tool
the solution will be a pair of coordinates that are whole numbers -- > see the attached figure
the solution is the point (2,3)
x=2---------------------- > number of paintbrushes
y=3---------------------- > number of jar of paint
the answer is
number of paintbrushes=2
number of jar of paint=3
Is this statement true? Why?
Answers
Let's find the inverse function:
We apply arctan to both sides:
arctan (y) = arctan (tan (x- (pi / 2)))
arctan (y) = (x- (pi / 2)
Then, we clear x:
x = arctan (y) + (pi / 2)
Finally we make the change y = x
y = arctan (x) + (pi / 2)
Answer:
False, y = tan ^ -1 (x + (pi / 2)) is not the inverse of y = tan (x- (pi / 2)).
The inverse is:
y= arctan (x) + (pi / 2)
These data show the ring sizes for a sample of 8 men. 12 10 11.5 11.5 12 9 9 11 What is the best approximation of the standard deviation for the ring size data?
Answers
The mean (average) = (12 +10+ 11.5 +11.5 +12 +9 +9 +11)/8
= 10.75
Standard deviation is the square root of variance, it is one of the measures of central dispersion, that is a measure of by how much the values in the data set are likely to differ from the mean.
In this case, Standard deviation, s= √(∑(x-m)²)/(n-1)
= 1.172
Thus, best approximation of the standard deviation is 1.17
Answer:
The answer should be 1.10
Step-by-step explanation:
The reason being is that I took the test. I hope you do well iA
What is the product? (2x-1)(x+4)
Answers
Answer:
[tex]2x^{2}+7x-4[/tex]
Step-by-step explanation:
We are given to find the product of (2x-1) and (x+4).
So, we have,
[tex](2x-1)(x+4)[/tex] = [tex]2x^{2}+8x-x-4[/tex] = [tex]2x^{2}+7x-4[/tex].
Thus, the product of (2x-1) and (x+4) is [tex]2x^{2}+7x-4[/tex].
i.e. [tex](2x-1)(x+4)[/tex] = [tex]2x^{2}+7x-4[/tex].
my sister needs help on this! right answer ill choose as an "brainliest" person:)
Answers
[tex]\sf V=lwh[/tex]
[tex]\sf V=(12)(6)(8)[/tex]
[tex]\sf V=576in^3[/tex]
Now the gap:
[tex]\sf V=lwh[/tex]
[tex]\sf V=(2)(6)(6)[/tex]
[tex]\sf V=72in^3[/tex]
Subtract the two volumes to find the volume of the entire figure:
[tex]\sf 576-72=\boxed{\sf 504in^3}[/tex]
hhhhhhheeeeeeeeellllllllllpppppppppppp
Answers
sine (60) = (z) / (a + b)
Clearing z we have:
z = (a + b) * sine (60)
Substituting:
z = (15) * sine (60)
z = 15 * (root (3) / (2))
Answer:
z = 15 * (root (3) / (2))
Given the form D =ABC, what is the formula for C?
Answers
D = ABC
D/AB = ABC/AB
C = D/AB
C = D/AB is your answer
hope this helps
D
C = --------- Because you have to get C all by itself in order to set up a correct
AB formula, and you can only do so by dividing C by A and B. A and B are canceled out on the right side, but until you have numerical values for D, A, and B, you can't divide them into a number, so this equation is the result and the correct answer.
Part 1.] The attached picture
Part 2.] What is the probability of getting 4 heads when tossing a coin 6 times (rounded to the nearest tenth).
Part 3.] A.) Describe the connection of the pattern of outcomes to Pascal’s triangle.
B.) Look at the increase in values. What is the pattern in the number of total possible outcomes?
Part 4.] Complete the table for powers of 11.
11^0=____
11^1=____
11^2=____
11^3=____
Using the pattern, what is the value of 11^4? _____
Calculate 11^5? _____
Calculate 11^6? _____
Part 5.] Can you use the values in Pascal’s triangle to find the powers of 11? Explain.
Answers
HTH, THH, HHT
TTH, THT, HTT
We consider the same for four tosses (answer provided in order with respect to the supplied given in the number of outcomes):
HHHH
THHH, HTHH, HHTH, HHHT
HHTT, HTHT, THHT, TTHH, THTH, HTTH
HTTT, THTT, TTHT, TTTH
TTTT
For the total possible outcomes we just add the number of outcomes in the third column. For three tosses we'll have a total of 8 possible outcomes and for four tosses we'll have 16 possible outcomes.
Part 2. From the answers in part 1 we can determine a pattern for the total possible outcomes based on the number of tosses. It's [tex] 2^{x} [/tex] where x is the number of tosses. So for 6 tosses we'll have 64 possible outcomes.
To find how many outcomes would have exactly 4 heads, we determine the number of outcomes with HHHHTT. This will be a simple permutation problem with the equation: [tex] \frac{6!}{4!2!} =15[/tex]. Therefore, there will be 15 outcomes with exactly 4 heads.
We just divide the number of outcomes with exactly 4 heads over all possible outcomes to determine the probability.
[tex] \frac{15}{64}=0.2 [/tex]
ANSWER: The probability would be 0.2.
Part 3-a. A Pascal's triangle is a triangle of numbers where the first and last numbers in every row are 1 and the rows at the middle are determined by getting the sum of the two nearest rows above it. Attached here is an image of the triangle.
We can observe that the pattern of outcomes is exactly like the numbers appearing in the rows of the Pascal's triangle (with the exception of the first row of the triangle)!
Part 3-b. As mentioned earlier, the pattern for the total possible number of outcomes is just [tex] 2^{x} [/tex] where x is the number of tosses. We know this because we are familiar with the fact that the answers supplied in the table in Part 1 are powers of 2.
Part 4. We first use the calculator to determine these powers:
[tex] 11^{0}=1 [/tex]
[tex] 11^{1}=11 [/tex]
[tex] 11^{2}=121 [/tex]
[tex] 11^{3}=1331 [/tex]
[tex] 11^{4}=14641 [/tex]
[tex] 11^{5}=161051 [/tex]
[tex] 11^{6}=1771561 [/tex]
We just used the calculator to find these values easily but we can actually use a pattern to find the values. The pattern is evident for the first 5 exponents (0-4). We can see that the first 5 answers all look like the Pascal's triangle values!
Part 5. Yes, you can find the values for the powers of 11 using Pascal's triangle. As stated earlier, the first 5 powers (including 1) are evidently following the pattern. For exponent 5 and up, this is still actually following the triangle but the double digit answers are just carried over to the next digit.
For example, 1 5 10 10 5 1 became 161,051 since the two 10s in the middle had to be carried over.
This pattern will hold true for any powers of 11.
HELP ASAP!!! ill mark brainliest! Which of the following graphs represents the function ƒ(x) = 2x?
Answers
A graph that correctly represents the exponential function [tex]f(x) = 2^x[/tex] include the following; B. graph B.
How to write and graph an exponential function?In Mathematics and Euclidean Geometry, an exponential function can be modeled by using this mathematical equation:
[tex]f(x)=a(b)^x[/tex]
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, we would select the following exponential function to plot on a set of axes or cartesian coordinate;
[tex]f(x) = 2^x[/tex]
where:
The rate of change (b) is 2 and it represents an exponential growth.
The y-intercept (a) is 1 and it means the graph of this function would cross the y-axis at point (0, 1).
In conclusion, we can logically deduce that only graph B correctly represent an exponential function with these key features.
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Missing information:
Which of the following graphs represents the function [tex]f(x) = 2^x[/tex]?
please help idk this one !!Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.
(–2, 0)
(–2, 0) and (2, 0)
(–2, 0) and (3, 5)
no solutions
Answers
y+4=x² Equation 1
y-x=2 Equation 2
Isolate y from equation 2.
y=x+2 Substitute value of y in equation 1.
x+2+4=x²
x+6=x²
x²-x-6=0
Solve for x.
x²-3x+2x-6=0
x(x-3)+2(x-3)=0
(x-3)(x+2)=0
x-3=0 or x=3
and
x+2=0 or x=-2
Substitute value of x in y=x+2
y=-2+2=0
and
y=3+2=5
So solutions are (-2,0) and (3,5)
Answer: (-2,0) and (3,5)
Answer:
[tex](-2,0)[/tex] and [tex](3,5)[/tex]
Step-by-step explanation:
we have
[tex]y+4=x^{2}[/tex] -----> equation A
Is a vertical parabola open upward
[tex]y-x=2[/tex] ----> equation B
Is the equation of a line
we know that
The solution of the system of equations is the intersection point both graphs
Using a graphing tool
The intersection points are [tex](-2,0)[/tex] and [tex](3,5)[/tex]
see the attached figure
If rectangle WXYZ is slid three units to the right what will be the coordinates of point W?
A) (0, 2)
B) (3, -1)
C) (3, 5)
D) (6, 2)
Answers
The correct answer is (D) (6, 2).
To find the new coordinates of point W after sliding the rectangle three units to the right, you need to add 3 to the x-coordinate of point W.
Given the initial coordinates of rectangle WXYZ, if the point W is at (x, y), then after sliding three units to the right, the new coordinates of W will be (x + 3, y).
Therefore, the correct answer is (D) (6, 2).
PLEASE someone help me on this!!
BRAINLIEST AVAILABLE
Answers
Paul, Colin and Brian are waiters. One night the restaurant earns tips totalling £71.10. They share the tips in the ratio 2:3:4. How much more does Colin get over Paul?
Answers
the total money to be shared is £ 71.10
Altogether the money could be divided into (2 + 3 + 4) 9 portions
1 portion comes to £ 71.10 / 9 = £ 7.9
Paul receives 2 portions, which equals to 7.9 * 2 = 15.8
Colin receives 3 portions , this equals to 7.9 * 3 = 23.7
Therefore the difference between the 2 portions is 23.7 - 15.8 = 7.9
hence, Colin receives £7.9 over Paul
The amount that Colin will get more than Paul is $7.90.
From the information given, Paul's share will be:
= 2/9 × $71.10
= $15.80
The share of Colin will be:
= 3/9 × $71.10
= $23.70
The difference between Colin's share and Paul's share will be:
= $23.70 - $15.80
= $7.90
Therefore, the amount that Colin will get more than Paul is $7.90.
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PLEASE HELP STEP BY STEP
Answers
[tex]= \frac{z^{2}-6}{z-5} \times \frac{z^{2}+z-18}{z+2}[/tex]
[tex]= \frac{(z^{2}-6)(z^{2}+z-18)}{(z-5)(z+2)}[/tex]
Ordinarily, with a problem of this sort, there would be factors that would cancel, making the result simpler than what you get by multiplying things out. Here, there are no common factors and the numerator factors are all irrational. Of course, the denominator cannot be zero, so the restrictions are
.. z ≠ -2 or +5
[tex]= \frac{z^{4}+z^{3}-24z^{2}-6z+108}{z^{2}-3z-10}[/tex]
Karen is buying pens and pencils for the new school year. She wants to have no more than 25 writing utensils in all. She also wants the number of pencils to be greater than or equal to the square of 3 less than the number of pens. Create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.
Answers
Karen's situation can be modeled by the following system of inequalities:
Total number of utensils: p + n ≤ 25 (p = number of pens, n = number of pencils)
Pencils vs. pens: n ≥ (3 - p)^2 (pencils must be at least the square of 3 less than the number of pens)
Viable solutions: All solutions within this system are viable.
Explanation:First inequality: This ensures that the total number of writing utensils (pens + pencils) doesn't exceed 25, Karen's desired maximum.
Second inequality: This accounts for Karen's preference for having at least as many pencils as the square of 3 less than the number of pens. It avoids solutions with fewer pencils than the squared difference.
Viable solutions: Since both inequalities are valid and independent, any solution that satisfies both is acceptable. This leaves a broad range of viable combinations of pens and pencils, allowing Karen flexibility within her limits.
Therefore, all solutions within the system of inequalities are valid possibilities for Karen's purchase. She can choose any combination of pens and pencils as long as their total is 25 or less and the number of pencils is greater than or equal to the square of 3 less than the number of pens.
The base of a triangle is 9 inches more than 3 times the height. if the area of the triangle is 105 square inches, find the base and height.
Answers
If x = −4 is a zero of the polynomial function f(x) = 2x3 + 13x2 + 23x + 12, which of the following is another zero of f(x)
A. X=4
B. X=-1
C. X= 1
D. X=12
Answers
A “zero” is the number x has to be for the equation to equal 0. So, looking at the equation, x HAS to be negative, because the whole equation has +’s, which will never amount to 0 unless X is a negative number.
You can also plug -1 in for X as so:
2(-1)3 + 13(-1)2 + 23(-1) + 12
Which simplifies:
-2 +13 - 23 + 12
Which equals 0
I hope this Helps!
Find the surface area of a sphere with a radius of 8cm.
(use 3.14 for pi and round to the nearest tenth)
A. 267.9 cm^2
B. 803.8 cm^2
C. 2143.6 cm^2
D. 201.0 cm^2
Answers
By definition, the surface area of a sphere is given by:
[tex] A = 4 * \pi * r ^ 2
[/tex]
Where,
r: sphere radius
Substituting values in the given equation we have:
[tex] A = 4 * 3.14 * 8 ^ 2
[/tex]
Doing the calculations we have:
[tex] A = 803.84
[/tex]
Rounding to the nearest tenth:
[tex] A = 803.8 cm ^ 2
[/tex]
Answer:
The surface area of a sphere with a radius of 8cm is:
B. 803.8 cm ^ 2
what is perimeter is that you count the out side of a shape
Answers
What are debit cards?
Answers
So if you are much more richer, and do not want to pay interest rates, you might want to get a debit card
hope this helps
If the area of an equilateral triangle is 9√3 sq ft, how long is a side?
6 ft.
9 ft.
18 ft.
Answers
[tex]Area= \frac{ \sqrt{3} }{4}s^2 \ \ \ \ \ \text{[s= length of a side] } \\ \\ \\ \frac{ \sqrt{3} }{4}s^2=9 \sqrt{3} \\ \\ s^2=9 \sqrt{3}: \frac{ \sqrt{3} }{4}= 9 \sqrt{3} \cdot \frac{ 4 }{ \sqrt{3} }=36 \\ \\ s= \sqrt{36}=6 \ \text{ft } [/tex]
The answer is 6 ft.
Answer:
6ft.
Step-by-step explanation:
Algebra 1 B Exponents and Exponential Functions Unit Portfolio?
Task 1?
Task 2?
Task 3?
Need an
Exponents and Exponential Functions Table?
Would be nice if you could help with all of it though. After all it is (30)points!!!
Answers
y=$500(in billions)
x= the number of years that have passed since 2009
percentage of decrease: 1 - % =
so your formula will look like this: y(1 - %)^x
Exponents multiply a number by itself, while exponential functions contain variables in the exponent. Algebra 1B tasks involving these could include simplifying exponents, solving problems with exponential functions, and creating or interpreting an Exponential Functions Table. Studying, understanding rules, and practicing problems will aid success.
Explanation:It seems like you need help with understanding Exponents and Exponential Functions. Exponents are a way of multiplying a number by itself. For example, 2^3 means 2 is multiplied by itself twice (2 * 2 * 2).
On the other hand, exponential functions are a special type of functions where the variable is in the exponent. For instance, the function f(x) = 2^x is an exponential function.
For your Algebra 1B tasks, here's a sample process: for Task 1, you might be required to simplify numbers or expressions using exponents. Task 2 may require you to solve problems using exponential functions. And Task 3 could involve creating or interpreting an Exponential Functions Table, which is a table showing the values of an exponential function for different x-values.
Remember to follow your study guides, textbooks, and your teacher's instructions for each task. Practicing problems and understanding the rules of exponents and exponential functions will help you earn those 30 points!
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Three cubes of edge 12 cm are joined together (end to end).Find the volume of the resultng cuboid
Answers
Determine whether the given measures can be the lengths of the sides of a triangle. write yes or no. explain. 9.2, 14.5, 17.1
Answers
h²=a²+b²
h=√(a²+b²)
h: It is the hypotenuse (The opposite side of the right angle and the longest side of the triangle).
a and b: They are the legs (The sides that form the right angle).
The result of h=√(a²+b²), should be 17.1 (The longest side given in the problem). So, let's substitute the values of the legs into the Pythagorean equation:
h=√(a²+b²)
h=√((9.2)²+(14.5)²)
h=17.1
Therefore, the answer is:
Yes, the given measures can be the lengths of the sides of a triangle.
Answer with explanation:
If the length of three segments are, 9.2, 14.5 and 17.1 ,it can be sides of triangle if , Sum of two segments is greater than the third segment.
1.→ 9.2 +14.5=23.7 >17.1
2.→ 14.5 +17.1=41.6 > 9.2
3.→17.1 +9.2=26.3 >14.5
As, sum of any two segment is greater than third segment, so the following measurements can be the the lengths of the sides of a triangle.
what set of transformations could be applied to rectangle ABCD to create A’B’C’D’?
A)Reflected over the x-axis and rotated 180 degrees
B)Reflected over the y-axis and rotated 180 degrees
C)Reflected over the x-axis and rotated 90 degrees counterclockwise
D)Reflected over the y-axis and rotated 90 degrees counterclockwise
Answers
Answer:
C)Reflected over the x-axis and rotated 90 degrees counterclockwise
Step-by-step explanation:
Reflection over the x-axis move point C from (-1, 1) to (-1, -1), point D from (-1, 2) to (-1, -2), point A from (-4, 2) to (-4, -2) and point B from (-4, 1) to (-4, -1). As can be seen, y-coordinate changes sign, so that, the distance between the original point and its reflection respect x-axis remains the same.
Rotation 90 degrees counterclockwise around origin means that x-coordinate and y-coordinate switches and x-coordinate is multiplied by -1. So, point (-1, -1) transforms into (1, -1) - point C' -, (-1, -2) transforms into (2, -1) - point D' -, point (-4, -2) transforms into (2, -4) - point A' - and point (-4, -1) transforms into (1, -4) - point B'.
Trucks are delivering gravel to a construction site each truck hold 7.5 cubic yards of gravel. The weight of 1 cubic yard of gravel is 1.48 tons. The gravel will be placed in containers that each hold 3.7 tons of gravel. how many contaoners of this size are needed to hold all the gravel from one truck
Answers
If the weight of 1 yard³ is 1.48 tons, then the weight of 7.5 yards³ is:
w=7.5x1.48 tons
w=11.1 tons
The problem says that the gravel will be placed in containers that each hold 3.7 tons of gravel,so, If they need 1 cotainer to place 3.7 tons, how many containers they need to place 11.1 tons?
1 container-------3.7 tons of gravel
x-------11.1 tons of gravel
x=(11.1x1)/3.7
x=11.1/3.7
x=3 containers
How many containers of this size are needed to hold all the gravel from one truck?
The answer is: 3 containers.
Why do you switch the inequality sign when multiplying or dividing by a negative?
Answers
write an equation that is parallel to y = -4x - 1 and passes through (-2 , 4)
Answers
In order for a function to be parallel to another, they must have the same slope but different intercepts (or else they'd be the same line).
This equation has the same slope and the same intercept, so it is parallel.
Hope this helps!