which of the following graphs could depict the function f(x)=m(x+d)^1/5 if both m and d are positive numbers?
Answers
Explanation:
The x+d portion indicates we'll have either a left or right shift of d units. Since d is positive, we shift d units to the left. The value of d would have to be negative to have a right shift of d units.
This means that the junction point or turning point must be in the negative x territory. The parent function y = x^(1/5) has its turning point at the origin. So y = (x+d)^(1/5) will have its turning point at (-d,0) for some positive number d.
The exponent 1/5 is in the form 1/n with n = 5 being odd. The odd number tells us we have something like a cube root where it forms an S shape of sorts. Each branch extends on forever to the left and right. Therefore, the domain is the set of all real numbers. We don't have to worry about negative values because we aren't dealing with square roots, fourth roots, sixth roots, etc.
All of these facts point to graph C being the answer.
Answer:
c
Step-by-step explanation:
i think
Related Questions
can somewon help me plz
Answers
Answer: s=36
Step-by-step explanation:
To solve for s, we can use our algebraic properties to solve.
[tex]\frac{1}{3}s+14=26[/tex] [subtract both sides by 14]
[tex]\frac{1}{3}s=12[/tex] [multiply both sides by 3]
[tex]s=36[/tex]
Answer:
The answer is s=36
Step-by-step explanation:
what is the midpoint of the line segment with endpoints (-4 -3) and (-7 5) A. (1.5, -4) B. (-4,1.5) C. (1, -3.5) D. (-3.5, 1)
Answers
Answer:
given,
the points are(-4,-3) and (-7,5)
now, midpoint=
[tex] \frac{x1 + x2}{2} , \frac{y1 + y2}{2} [/tex]
or, midpoint =
[tex] \frac{ - 4 - 7}{2} ,\frac{ - 3 + 5}{2} [/tex]
therefore the midpoint is (-11/2,1)... ans
hope it helps..
Q1: What are rational exponents, and how are they related to integer exponents? Q2: How can the average rate of change be identified for a function? Q3: How do linear and exponential functions compare as the domain increases?
Answers
2) The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
3) Linear functions are straight lines while exponential functions are curved lines. ... If the same number is being added to y, then the function has a constant change and is linear. If the y value is increasing or decreasing by a certain percent, then the function is exponential.
Hope this helps you
Please mark as brilliant answer
Calculate the area and the perimeter of the figure
Answers
Answer:
Area: 5 cm squared
Perimeter: 12 cm
Step-by-step explanation:
The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.
Please Help! The figure is composed of a regular pentagon and a rectangle. What is the measure of each of the angles identified as x?
Answers
Answer:
[tex]x=36^{\circ}[/tex] is the required answer.
Step-by-step explanation:
The angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. The Sum of adjacent angles is [tex]180^{\circ}[/tex]
[tex]x+108^{\circ}+x=180^{\circ}\\\\\Rightarrow x=36^{\circ}[/tex]
[tex]108^{\circ}[/tex] represents the internal angle of a pentagon.
Best Regards!
The value of x is,
⇒ x = 36
Since, We have to given that,
The figure is composed of a regular pentagon and a rectangle.
We know that,
Since, Sum of all the angles of a regular pentagon is, 540 degree
Hence, Each angle of a pentagon is,
⇒ 540 / 5
⇒ 108 degree
So, By given figure we get;
⇒ x + 108 + x = 180
(By linear pair angles)
⇒ 2x + 108 = 180
·⇒ 2x = 180 - 108
⇒ 2x = 72
⇒ x = 36
Learn more about the pentagon visit:
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Two random samples were taken to determine how often people in a community listen to the local radio station each month. The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20. The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12. Which statements are true? Check all that apply. The second sample is random. The second sample is likely to be more representative of the population. The first sample is likely to be more representative of the population. The second sample will give a better representation because is it larger. The first sample will give a better representation because it is smaller. Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
Answers
Answer:
The answers to this question are 1,2,4,6. Hope this helps you
Step-by-step explanation:
Statements A, B, E, and F are true. The second sample was taken at random using a fair sampling technique.
What is the probability?Probability is synonymous with possibility. It is concerned with the occurrence of a random event.
Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.
The correct statement is as follows;
A) The second sample is random.
B) The second sample is likely to be more representative of the population.
D) The second sample will give a better representation because is it larger.
F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
The second sample was taken at random using a fair sampling technique.
Because the research using the larger data size is accepted rather than that of the smaller data, community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours.
A research's sample size is a crucial consideration. Additionally, the second sample is probably a better indicator of the broader population.
Hence statements A, B, E, and F are true.
To learn more about probability, refer to the link: https://brainly.com/question/795909.
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Find two numbers whose sum equals 6 and whose product equals 4.
Answers
Answer:
You've described a system of equations:
x+y=6
x*y=4
The easiest way to solve is with substitution. If you rearrange the first equation, you'll find that y = 6-x. Substitute this into the second to get x(6-x) = 10
This is a quadratic equation that you should be able to solve with the quadratic formula. Be aware that the answers are complex.
Step-by-step explanation:
If I have 2 circles, circle A has a radius of 2, and circle B has a radius of 3. What is the ratio of the radius of circle A to circle B? For some reason I am drawing a blank. I know this is super simple. I am wanting to say 1:1.5 but that doesn't sound right.
Answers
Explanation:
I think it’s best not to have decimal in ratio
What are the domain and the range of this function?
Answers
Answer:
domain: -5≤x<1
range: -4≤y<7
Step-by-step explanation:
The domain of the line segment will be [-5, 1) and the range of the line segment will be [-4, 7).
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
The domain means all the possible values of x and the range means all the possible values of y.
From the graph, the domain of the line segment will be [-5, 1) and the range of the line segment will be [-4, 7).
More about the linear equation link is given below.
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pls help me with number 10
Answers
Answer:
D
Step-by-step explanation:
Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent
KM = LM = 5
Δ MJK is isosceles ( base angles are congruent ), thus
MJ = KM = 5 , substitute value
x + 1 = 5 ( subtract 1 from both sides )
x = 4 → D
x=4
Step-by-step explanation:
all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4
Help!!!!! I need help fast.
Answers
Answer:
[tex](x + 3)^2 + (y- 2)^2 = 4[/tex]
Step-by-step explanation:
A circle which has center at point(a,b) on coordinate plane and its radius is r, then its equation is represented by
(x-a)^2 + (y-b)^2 = r^2
______________________________________
In the problem
we have
center as (-3,2) while radius is 2 units.
Thus, it equation can be written based on above discussion as
a = -3, b = 2 r =2
[tex](x-a)^2 + (y-b)^2 = r^2 \\(x-(-3))^2 + (y- 2)^2 = 2^2\\(x + 3)^2 + (y- 2)^2 = 4[/tex]
thus, correct choice is option third.
The population of Peru is 10904 the population of Franklin is 25248. The population of Franklin is percent more than the population of Peru
Answers
Answer:
132%
Step-by-step explanation:
The population of Peru = 10904
The population of Franklin = 25248.
Difference = 25248-10904=14,344
Expressing as a percentage of the population of Peru
[tex]\dfrac{14344}{10904} X 100[/tex]
=132%
Therefore, the population of Franklin is 132% more than the population of Peru.
It takes 6 apples to make a cake. How many whole cakes can I make if I have 57 apples?
Answers
Answer:
9.5 cakes
Step-by-step explanation:
Answer: You can only make 9 whole cakes
Step-by-step explanation:
You have 57 apples and you use 6 apples to make a cake .
To figure out the number of cakes you need to divide 57 by 6
You get 9 whole cakes with 3 apples left
Find the perimeter Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. How much fencing material does Jose need to enclose the garden? Question 2 options: a) 257.4 feet b) 1287 feet c) 144 feet d) 72 feet
Answers
Answer:
144
Step-by-step explanation:
2(39+33)
2(72)
144
=144
-402 + br – 11 = 0
Determine a possible value of b so that the quadratic has two complex solutions.
1)
12
2)
-14
3)
-16
4)
14
Answers
Answer:
2
Step-by-step explanation:
Solve this quadratic equation by completing the square.
x2 + 4x = 15
A. X=-2 19
B. X=-4 + 15
C. X = -4 + 19
D. X = -2 + 15
SUB
Answers
Answer:
-2+√19 or x=-2-√19
Step-by-step explanation:
completing the square it results :
x=-2+√19 or x=-2-√19
14. Which graph shows the solution to the following system?
1
-x-2
y -
4
7
y = -x + 4
Answers
Answer:
Option (B)
Step-by-step explanation:
Equations of the lines shown in the graph are,
[tex]y=\frac{1}{4}x-2[/tex] and [tex]y=\frac{7}{4}x+4[/tex]
For equation (1),
[tex]y=\frac{1}{4}x-2[/tex]
Slope of the line = [tex]\frac{1}{4}[/tex]
And y-intercept of the line = -2
For equation (2),
[tex]y=\frac{7}{4}x+4[/tex]
Slope of this line = [tex]\frac{7}{4}[/tex]
And y-intercept of the line = 4
From the given graphs in the options,
Graph (B) shows the lines which show the y-intercepts as y = 4 and y = -2
Therefore, Option (B) will be the answer.
Triangle STV has vertices S (-3, -2) , T (-4, 3) and V (-2, 3). If (x, y) arrow (x+2, y-3), what are the vertices of its image?
Answers
Answer:
see below
Step-by-step explanation:
The mapping tells you how to find the vertices of the image:
(x, y) ⇒ (x +2, y -3)
S(-3,-2) ⇒ S'(-3 +2, -2 -3) = S'(-1, -5) . . . . . matches choice D
T(-4, 3) ⇒ T'(-4 +2, 3 -3) = T'(-2, 0)
V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)
Answer:
D
Step-by-step explanation:
Plz help me 2/3(6-9x)+15
Answers
Answer:
19-6x
Step-by-step explanation:
2/3(6-9x)+15
=4-6x+15
=19-6x
Answer:
19-6xSolution,
[tex] \frac{2}{3} (6 - 9x) + 15 \\ = \frac{2}{3} \times 6 - \frac{2}{3} \times 9x + 15 \\ = 4 - 6x + 15 \\ = 4 + 15 - 6x \\ = 19 - 6x[/tex]
Hope this helps...
Good luck on your assignment..
58.30
The slope of the graph of the equation y2x-2 is 2. What is the y-intercept?
y-intercept =
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Answers
Answer:
the slope is 2 and the y intercept is -2
Step-by-step explanation:
y=2x-2
This is in the form y = mx+b where m is the slope and b is the y intercept
the slope is 2 and the y intercept is -2
Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7) slope = - slope = - slope = slope =
Answers
Answer:
slope = [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)
m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]
Answer:
7/5
Step-by-step explanation:
m=y2-y1/x2-x1
7-0=7
2-(-3)=5
7/5
The factors for x^2 + 5x + 6 are x + 2 and x + 3. True or false?
Answers
X+2 and x+3 are factors
Answer:
Step-by-step explanation:
x2+5x+6
=x2+3x+2x+6
=x(x+3)+2(x+3)
=(x+2)( x+3)
hence true...
Will mark as Brainlist!
the pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.
y= 1/4x - 16
y = 4x − 16
y=1/4x + 16
y = 4x + 16
Answers
Answer:
y=1/4x + 16
Step-by-step explanation:
Answer:
cccccccccccccccccccccccccccc
C!
The average American drink about eight servings of hydrated beverages every day. Each member of a household of four members drink the same amount of hydrator beverage each day as the average American. How many servings of hydrated beverages (w) with the members of the household consume in a week?
Answers
Answer:
Step-by-step explanation
Write an equation to represent the total servings of hydrated beverages consumed w by m household members during a period of d days.
I thinks 8M times D because the average American drinks 8 servings so that 8M and then you multiply it by however many people are in the house so
8 times members times days
A popular dance club allows 30 customers to enter per hour. The club has to keep their occupancy below 400 at any time during the day. Currently, the club has 130 customers. If none of the customers leave, how many more hours, x, can the club continue to accept new customers? Select the number line that includes the largest number of hours the club can continue to accept new customers without exceeding their occupancy
Answers
Answer:
largest # of hours is 9
Step-by-step explanation:
To graph f(x) = 2x ^2+ 1, what would
you do to the graph of f(x) = x??
Answers
Answer:
Well you make a parabola 2 times more narrow.
move it up 1
1. fill in the blanks below and write and evaluate an example of a function part1: Ashley earns 17 per hour. define the variables and state which quantity is a function of the other. part 2: using the variables defined in part 1, write a function using notation that represents Ashley's income Part 3: Ashley's hours for the last two weeks were 35 hours and 29 hours. Using the function you wrote in Part II, determine her income for each of the two weeks. Show your work. (4 points) 37 Week 1: Ashley worked 35 hours. She earned __________. Week 2: Ashley worked 29 hours. She earned __________.
Answers
Answer:
See below
Step-by-step explanation:
Part 1 -
x: number of hours worked
y: total income
This is written as → y = f(x)
Part 2 -
y = 15*x
Part 3 -
f (35) = 15 × 35 = $525
f (29) 15 × 29 = $435
Week 1 - Ashley worked 35 hours with a total income of $525.
Week 2 - Ashley worked 29 hours with a total income of $435.
Marcus is saving up his money to buy a television that costs $395.50. Right now he has $85.00, and can save $29.00 each week. How many weeks will it take for Marcus to have enough money to buy the television?
Answers
Answer:
11 weeks
Step-by-step explanation:
He has 85 and can save 29 each week. This must be greater than the cost of the tv
85 + 29 w > 395.50
Subtract 85 from each side
85 -85 + 29 w > 395.50-85
29w >310.50
Divide by 29
29w/29 > 310.5/29
w >10.70689655
The number of weeks must be greater than 10.7 so rounding up
He must save for at least 11 weeks
Find the missing segment
Answers
Answer:
? = 9.
Step-by-step explanation:
According to the AA Theorem, the two triangles are similar.
[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]
30 (? + 54) = 54 * 35
30? + 1620 = 1890
3? + 162 = 189
3? = 27
? = 9
Hope this helps!
You are a young entrepreneur who ventures into selling milk tea. On the soft opening day, you sold all 50 glasses of classic and flavored milk tea, and bought in P4700. You need to determine how many glasses of classic milk tea and how many glasses of flavored milk tea were sold on that day if a glass of classic milk tea costs P100 and a glass of flavored milk tea is P80.
Answers
Answer:
35 glasses of classic milk tea
15 glasses of flavored milk tea
Step-by-step explanation:
You sold 50 glasses of classic and flavored milk tea.
c + f = 50
You made 4700 when classic tea costs 100 and flavored tea costs 80.
100c + 80f = 4700
Use this system of equation to solve. Use substitution. Rearrange the first equation so that it is equal to c. Then, plug the c-value into the second equation.
c + f = 50
c = 50 - f
100c + 80f = 4700
100(50 - f) + 80f = 4700
5000 - 100f + 80f = 4700
5000 - 20f = 4700
-20f = -300
f = 15
Plug the f-value into one of the equations and solve for c.
c + f = 50
c + 15 = 50
c = 35
35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.