Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.
Graph shows a radical function plotted on a coordinate plane. A curve enters quadrant 3 at (minus 10, minus 3.2), goes through (minus 4, minus 3), (0, minus 2.5), data point (3, minus 1), (5, 0), and exits quadrant 1.
Replace the values of h and k to create the equation of the transformed function.
Answers
Replacing the values of h and k to create the equation of the transformed function gives us; y = [∛(x - 4)] - k
What function does the graph represent?The graph represents a transformation of the parent cube root function.
The parent cube root function is; y = ∛x
In this parent function, we see that the value of h and k are equal to 0. Where;
h = 0, k = 0 in parent function
Then the graph changes direction at the coordinate (0,0) in parent function.
From the given graph, we can see that it changes direction at the coordinate (4,-1)
This tells us that the graph is shifted by 4 units to the right and then by 1 unit downwards.
Thus, it means that the value of h = 4 and the value of k = 1.
Thus, the equation of the transformed function will be written as;
y = [∛(x - 4)] - k
Read more about graph function at; https://brainly.com/question/17089414
#SPJ1
Related Questions
A large container of breath mints has a mass of 50 g. A small container has a mass of 32 g. What is the percent decrease from the mass of the large container to the mass of the small container?
Answers
Answer:
The percent decrease is 36%.
Step-by-step explanation:
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If f(x)=2x−x2+1/3x3.⋯………. converges for all x, then f′′′(0)=2.
Answers
The statement given is false. The reason for this is that the convergence of a function does not necessarily imply anything about the value of its derivative. To disprove the statement, we can consider the function f(x) = x^2, which converges for all x, but its third derivative f'''(x) = 0, which means that f'''(0) is also equal to 0. Hence, f′′′(0) is not equal to 2.
In general, it is important to note that the convergence of a function does not provide any information about the behavior of its derivatives. Moreover, a function may converge at some points and diverge at others, and this can be determined by analyzing the behavior of its terms or by using convergence tests. In this case, it is necessary to compute f′′′(0) directly using the definition of the derivative or by applying differentiation rules.
To know more about statement visit:
https://brainly.com/question/32267897
#SPJ11
I'm taking a class in FLVS I finished segment 1 and I need to add another course for segment 2 and I don't know how to do that? Please help
Answers
Answer:
You could simply go to your course selection book (if there is one) and see if it's there. If not, then ask your guidance counselor for help or if you can automatically advance.
Step-by-step explanation:
A 15-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of x.
Answers
The expressions x and 15-x add back up to 15.
An example: Let x = 7 which means the remaining piece is 15-x = 15-7 = 8 feet long.
Answer: 5-x
Step-by-step explanation:
What is the value of the expression 6 + 5 · (8 ÷ 2) 2 ?
Answers
Answer:
88
Step-by-step explanation:
6+5=11
8/2=4
11x(4)2
The value of the expression 6 + 5 . (8 ÷ 2) 2 is 46.
What is BODMAS rule?BODMAS rule is a rule of calculating expressions which include more than one different mathematical operations.
BODMAS is an abbreviation for Brackets, Orders, Division, Multiplication, Addition and Subtraction.
So while calculating expressions including different operations, we should follow this order.
Here, the given expression is 6 + 5 . (8 ÷ 2) 2.
By BODMAS rule, we should calculate the expression in the bracket first.
8 ÷ 2 = 4
So, the expression becomes 6 + 5 × 4 × 2.
There are two operations, multiplication and addition here.
We should go for multiplication first.
5 × 4 × 2 = 40
The expression becomes 6 + 40 = 46.
Hence we got the value of the expression 6 + 5 . (8 ÷ 2) 2 as 46.
To learn more about BODMAS rule, click on the link given below:
https://brainly.com/question/29626866
#SPJ2
plz help! (will make brainliest!)
Answers
Answer:
B
Step-by-step explanation:
Spirit has a fixed fee of 20 dollars and it charges 0.05 per minute so that would be 0.05x. The other one only charges 0.15 per minute so 0.15x.
75% of 164 is _____________
Answers
Answer: 123 IS
Step-by-step explanation:
Answer: 123
Step-by-step explanation:
Don’t know how to do it with out a calculator, but you press 75 the the green 2nd button a then the number 2. Then multiply by 164.
The midpoint of AB is M (4, 4). If the coordinates of A are (2, 1), what are the
coordinates
of B?
Answers
Answer:
(6,7)
Step-by-step explanation:
Let B(x,y).
By the midpoint formula,
4 is the average of 2 and x, so x = 6.Similarly, y = 7.So, the coordinates of B are (6,7).
HELP Please
I really need the answer
Answers
Step-by-step explanation:
a full circle has 360°.
so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.
labour = 360 - 136 - 34 - 54 - 14 = 122°
the fraction 122/360 represents the 183 votes for labour.
122/360 = 183
the fraction 1/1 = 1 then represents the total number of votes in the whole system.
61/180 = 183
1/180 = 3
1 = 3×180 = 540
540 pupils voted altogether.
Students in 7th grade took a standardized math test that they also took in 5th grade. The results are shown on the dot plot, with the most recent data shown first.
Find and compare the medians.
7th-grade median:
5th-grade median:
What is the relationship between the medians?
Answers
Using the median concept, it is found that:
The 5th-grade median is of 13.The 7th-grade median is of 17.The relationship is that 7th grade students have a higher median than 5th grade students.What is the median of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
Researching the problem on the internet, we have that there are 21 5th grade students. It is an odd number, hence the median is the 11th element, as (21 + 1)/2 = 11. Looking at the dot plot, the median is of 13.
There are 23 5th grade students. It is an odd number, hence the median is the 12th element, as (23 + 1)/2 = 12. Looking at the dot plot, the median is of 17.
The relationship is that 7th grade students have a higher median than 5th grade students.
More can be learned about the median of a data-set at https://brainly.com/question/17110151
#SPJ1
an experiment consists of tossing 4 unbiased coins simultaneously. the number of simple events in this experiment is question 20answer a. 10 b. 8 c. 16 d. 25
Answers
The number of simple events in this experiment is 16.
The correct answer to the given question is option c.
The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.
The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.
Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.
Therefore, the number of simple events in this experiment is 16, which is option (c).
For more such questions on simple events, click on:
https://brainly.com/question/10346457
#SPJ8
HELP!!Jake rewrites the expression 36x4−1 as a difference of squares so he can factor it. Which answer choice shows how Jake could rewrite the expression?
Question 7 options:
(6x)4−12
(6x)2−12
(6x)4−14
(6x2)2−12
Answers
Answer:
Answer choice 3
Step-by-step explanation:
ken makes 75 cookies. He gives 3/5 of them to his classmates and 1/3 of them to his teachers. He brings the rest home. Ken brings home _______ cookies.
Answers
Answer:
5 cookies
Step-by-step explanation:
3/5 = 9/15 1/3=5/15
5/15+9/15=14/15.
75 ÷ 15 = 5
Ken will bring home 5 cookies
the midpoint of (3 x, -2) and (-4, 5y) is (1,4). find x, -y
Answers
Answer:
(x,-y): (2,-2)
Step-by-step explanation:
M=(x+x)/2,(y+y)/2
Given (1,4)=
\( \frac{3x - 4}{2} \)
This implies:
\(1 = \frac{3x - 4}{2} \)
\(3x - 4 = 2 \\ 3x = 2 + 4 \\ \frac{3x }{3} = \frac{6}{3} \\ x = 2\)
In a similar way,
\(4 = \frac{ - 2 + 5y}{2} \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2\)
The question demanded (x,-y)
Hence(2,-2) is the answer
What is the perimeter of a square with an area of 81 cm2
Answers
Answer:
36 cm
Step-by-step explanation:
Answer:
36cm
Step-by-step explanation:
A square has 4 equal sides so you can find the square root of 81 which is 9. Each side is 9cm, so just add the four sides and it gives you 36. Hope this helps^^
The figure below shows a line graph and two shaded triangles that are similar:
-NW 54
3
2
1
O
-15-12-9 -6 -3 0 3 6 9 12 15
A
OF N 3 T
-1
-2
-3
-4
5
B
➜X
Which statement about the slope of the line is true? (1 point)
Answers
The correct statement about the slope of the line is: "The slope from point O to point A is three times the slope of the line from point A to point B."
In the given figure, we can observe the line graph and the two shaded triangles. To determine the true statement about the slope of the line, we need to analyze the graph.
Looking at the line graph, we can see that it starts at point O, then moves upward towards point A, and finally continues downward towards point B. The slope of a line measures the steepness or the rate of change between two points on the line.
Comparing the slopes of different line segments:
The slope from point O to point A: The line rises from point O to point A, indicating a positive slope.
The slope from point A to point B: The line descends from point A to point B, indicating a negative slope.
Therefore, the slopes of these two line segments have opposite signs.
Now let's evaluate the given options:
It is -1 throughout the line: This statement is not true because the slope changes between the different line segments.
It is -3 throughout the line: This statement is not true because the slope changes between the different line segments.
The slope from point O to point A is one-third times the slope of the line from point A to point B: This statement is not true because the slopes have opposite signs.
The slope from O to A is positive, and the slope from A to B is negative. In this case, the absolute value of the slope from O to A is indeed three times the absolute value of the slope from A to B.
The slope from point O to point A is three times the slope of the line from point A to point B: This statement is true based on our analysis.
For more such questions on slope
https://brainly.com/question/16949303
#SPJ8
Vera wants to graph a line that passes through (0, 2) and has a slope of StartFraction 2 Over 3 EndFraction. Which points could Vera use to graph the line? Select three options.
(–3, 0)
(–2, –3)
(2, 5)
(3, 4)
(6, 6)
Answers
Answer:
First off it says select three and -3,0 is right but so is i'm pretty sure its options A D and E
Step-by-step explanation:
I hope this helps!!
Your welcome :)
It is right im taking the test rn
The equation of the line is y = (2/3)x + 2 and the point (3, 4) lies on the line.
Linear equationA linear equation is given by:
y = mx + b
Where y,x are variables, m is the slope of the line and b is the y intercept.
Given a line passes through (0, 2) and has a slope 2/3. The line equation is:
y - 2 = (2/3)(x - 0)
y = (2/3)x + 2
The equation of the line is y = (2/3)x + 2 and the point (3, 4) lies on the line.
Find out more on Linear equation at: https://brainly.com/question/14323743
the figure below is a net for the box to the right what is the surface area of the box
Answers
Answer: Your answer will be 24
Hope it helped :D
Good luck!
An education budget went from $800,000 to $900,000. What is the approximate percent increase? The approximate percent increase is 13%. The approximate percent increase is 89%. The approximate percent increase is 98%. The approximate percent increase is 113%.
Answers
Answer:
The answer is 13%
Step-by-step explanation:
The approximate percent increase is 13%.
What is Percentage Increase?Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude, intensity, or value. If the percentage increase is a negative value, then we can say that there is a percentage decrease of the same magnitude.
Percentage Increase FormulaFollowing the concept of percentage increase, the percentage increase formula is derived and expressed as: Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100. It should be noted that since the percentage has to be a positive quantity, we take the absolute value of the initial value. If the percentage increase is a negative value, then it is a percentage decrease. The percentage increase is the relative change in the quantity with respect to its initial value. If the percentage change is positive, then it is the percentage increase and if the percentage change is negative, it is a percentage decrease.
Given:
initial =$900,000
Final = $900,000
% increase = $900,000- $800,000/ $800,000 * 100
% increase = 100, 000/8000
% increase = 12.5 %
Learn more about percentage increase here:
https://brainly.com/question/27992848
#SPJ6
Help me please, thanks again if you do :)
Answers
Answer: B) 6
Step-by-step explanation:
First let's distribute the left side of the equation.
k - 16 + 4k = -2(2k -1) + 6k
Then let's combine like terms on the left side of the equation.
5k - 16 = -2(2k - 1) + 6k
Then let's distribute the right side of the equation.
5k - 16 = -4k + 2 + 6k
Then let's combine like terms on the right side of the equation.
5k - 16 = 2k + 2
Then let's move all the x's to one side, and all the constants to the other.
3k = 18
Then divide both sides of the equation by 3.
k = 6
Hope it helps <3
Answer:
6
Step-by-step explanation:
k - 16 + 4k = -2(2k -1) + 6k
5k - 16 = -2(2k - 1) + 6k
5k - 16 = -4k + 2 + 6k
5k - 16 = 2k + 2
3k = 18
k = 6
A line has a slope of – 1/7 and passes through the point (4,5). What is its equation in point-slope form?
Answers
Answer:
y-5=-1/7(x-4)
Step-by-step explanation:
The equation of the line in point-slope form is y-5=-1/7(x-4)
Answer:
y = -1/7 x + 39/7
Step-by-step explanation:
An equation in point slope form is
y = mx+b where m is the slope and b is the y intercept
We are given the slope
y = -1/7 x + b
Substitute in the point for x and y and solve for b
5 = -1/7(4) +b
5 = -4/7 +b
5 + 4/7 = b
5*7/7 + 4/7 = b
35/7 + 4/7 = b
39/7 = b
The equation is
y = -1/7 x + 39/7
Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot. Find the probability of this occuring.
Answers
Answer:
The probability of this occurring is 1/7
Step-by-step explanation:
Okay, here is a probability question.
From the question, we can identify the following;
Total number of socks = 2 + 4 + 2 = 8 socks
Since we are not given the order in which the socks was worn, we can assume any order.
Let’s say the right leg socks was worn first.
From the question, the socks on the right leg is a brown one.
So now let’s calculate the probability of selecting a brown socks out of the mix
That would be ;
number of brown socks/ total number of socks = 4/8 = 1/2
Now, for the left foot, we are having white sock here.
Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.
Now we need the probability of picking a white sock from the total 7. That would be ; 2/7
So the probability of both action occurring is simply the product of both probabilities and that is ;
1/2 * 2/7 = 1/7
what is the simpllified form of the expression x+x+10+2x-16
Answers
Answer:
4x-6
Step-by-step explanation:
x+x+10+2x-16
Combine like terms
x+x+2x +10-16
4x -6
4x-6
Answer:
\(4x - 6\)
Step-by-step explanation:
\(x + x + 10 + 2x - 16\)
combine like terms
\(x + x + 2x + 10 - 16 \\ 2x + 2x - 6 \\ = 4x - 6\)
hope this helps
brainliest appreciated
good luck! have a nice day!
Carlos y Paula son familiares. Sabemos que la edad de Carlos más la de Paula dan como
resultados 41 años. Además sabemos que el doble de la edad de Carlos junto con la edad de Paula
dan como resultado 70 años.
a) Escribe un sistema de ecuaciones que modele esta situación
b) ¿Qué edad tiene cada uno?
Answers
Answer:
b) ¿Qué edad tiene cada uno?
Step-by-step explanation:
The Smiths spend 5% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,300 on entertainment. What was their total budget last year?
Their total budget last year was
Answers
Answer:
$44,000 is the total budget
What is the volume of this cylinder?
Use
3.14 and round your answer to the nearest hundredth.
6 in
2 in
cubic inches
Answers
By using the volume of the cylinder, it can be calculated that
Volume of the cylinder is 75.360 cubic inches
What is volume of a cylinder?
Volume of a cylinder is the total space taken by the cylinder.
If r is the radius of the cylinder and h is the height of the cylinder, then volume of the cylinder is calculated by-
V = \(\pi r^2h\)
Here,
Height of the cylinder = 6 inches
Radius of the cylinder = 2 inches
Volume of the cylinder = \(3.14 \times 2^2 \times 6\) = 75.360 cubic inches
To learn more about volume of cylinder, refer to the link-
https://brainly.com/question/9554871
#SPJ1
Complete Question
A cylinder has a height of 6 inches and a radius of 2 inches. What is its volume? Use a 3.14 and round your answer to the nearest hundredth.
Cole jarred 8 liters of jam after 2 days. How much jam did Cole jar if he spent 5 days making jam? Assume the relationship is directly proportional.
Answers
3)If the interior angle of a regular polygon is 35" how many sida does it have?A)5. B) 8 C)6 D) 7
Answers
The number of sides the regular polygon has is: B. 8.
How to Find the Interior Angle of a Regular Polygon?A polygon with an n-side have a sum of interior angles which can be determined using the formula: (n - 2)180, where n is the number of sides of the regular polygon.
Thus, to find the measure of each interior angle of the polygon, we have: interior angle of a polygon = sum of interior angles ÷ number of sides.
Given the following information about the regular polygon:
Interior angle of the regular polygon = 135 degrees.
Plug this into the given formula for finding the interior angle of a polygon:
135 = (n - 2)180/n
Multiply n by both sides of the equation
135 × n = (n - 2)180/n × n
135n = (n - 2)180
Open the bracket
135n = 180n - 360
Subtract both sides by 180n
135n - 180n = 180n - 360 - 180n
-45n = -360
Divide both sides by -45
-45n/-45 = -360/-45
n = 8
Thus, the number of sides that the regular polygon has is: B. 8 sides.
Learn more about Interior angle of a regular polygon on:
https://brainly.com/question/1592456
#SPJ1
Find the critical value zc necessary to form a confidence interval at the level of confidence c=0.94
Answers
The critical value of Z at the level of confidence c=0.94 is z = 1.91.
According to the statement
we have given that the a confidence interval at the level of confidence c=0.94. And we have to find the critical value of the z.
So, For this purpose, we know that the
Critical value can be defined as a value that is compared to a test statistic in hypothesis testing to determine whether the null hypothesis is to be rejected or not.
So, The given confidence interval is 0.94
Then
1- 0.94 = 0.6.
So, critical value for the 0.6 according to the table is
z = NORM SINV(.06/2)= 1.9112
And we know that the
The value of z with given confidence interval is
90%
z =1.645
92%
z = 1.751
95%
z = 1.96
98%
z = 2.326
So, The critical value of Z at the level of confidence c=0.94 is z = 1.91.
Learn more about critical value of Z here
https://brainly.com/question/15728178
#SPJ4
Please help!! Picture is provided
Quad. ABCD is a trapezoid.
XY is the median
XY = 12; AB=16
Find DC
Answers
Answer:
DC = 8
Step-by-step explanation:
The median is half the sum of the parallel bases, that is
\(\frac{AB+DC}{2}\) = XY , substitute values
\(\frac{16+DC}{2}\) = 12 ( multiply both sides by 2 to clear the fraction )
16 + DC = 24 ( subtract 16 from both sides )
DC = 8
Answer:
DC = 8
Step-by-step explanation:
The median XY of the trapezoid ABCD is half or the sum of AB and DC.
XY = 1/2 ( AB + DC)
We need to find out DC so we can rewrite this equation isolating DC
XY = (1/2)(AB+DC), multiply both sides by 2
2XY = AB + DC, subtract from both sides AB
2XY - AB = DC, now substitute the given AB = 16 and XY = 12
2* 12 - 16 = DC , using the order of operations rules we multiply first
24 -16 = DC, subtract
8 = DC