PLEASE HELP
Create a cubic function that is not the parent function.
Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.
Answers
[tex]y = x^{3} + 2[/tex]
[tex]y = g(x) + c[/tex]
Here, [tex]g(x) = x^{3}[/tex] and [tex]c = 2[/tex], the parent function is [tex]g(x)[/tex]. Because [tex]c > 0[/tex], the graph undergoes a vertical shift 2 units up along the y-axis.
1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].
2) The transformation from parent function to function is vertical stretch.
A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points.
The general form of the cubic function is [tex]ax^3+bx^2+cx+d=0[/tex], where a, b, c and d are real numbers.
Let the cubic function be [tex]x^3+1[/tex] and the parent function be [tex]x^3[/tex].
To find the transformation, compare the function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical strech.
Horizontal shift: None
Vertical shift: Up 1 units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None
Therefore,
1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].
2) The transformation from parent function to function is vertical stretch.
To learn more about the cubic function visit:
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Related Questions
How do I do this man
Answers
Answer:
D
Step-by-step explanation:
g(x)=[tex]-\sqrt[3]{x-1}[/tex]
SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of 4
Answers
answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.
answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.
the absolute value of 1 is 1
so it is 1 unit above sea level
|_._._._._._._._._._._._|
-5,-4,-3,-2,-1,0,1,2,3,4,5
Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. a. How many business owners in the survey plan to provide a holiday gift to their employees this year
Answers
The business owners that would provide a holiday gift to their employees this year is 21.
Percentage are a measure of frequency. It is the fraction of an amount that is usually expressed as a number out of hundred.
In order to determine the business owners that would provide a holiday gift to their employees this year, multiply the percentage of business owners that indicated they plan to give gifts by the total number of people surveyed.
35% x 60
0.35 x 60 = 21 people
To learn more about percentages, please check: https://brainly.com/question/92258
Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $128,000.
Answers
9514 1404 393
Answer:
8,500 units
Step-by-step explanation:
The contribution margin from each unit is ...
$185 -121 = $64
To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...
($416,000 +128,000)/($64/unit) = 8,500 units
A recipe for pasta dough says, “Use 150 grams of flour per large egg.”
How much flour is needed if 6 large eggs are used?
How many eggs are needed if 450 grams of flour are used?
Answers
Answer:
1. 900 grams
2. 3 eggs
Step-by-step explanation:
1. 150 x 6 = 900
2. 450 / 150 = 3
Answer:
900 grams of flour are needed if six eggs are used. 3 eggs are needed if 450 grams of flour are used.
Step-by-step explanation:
First, multiply the number of large eggs by grams per large egg: 150×6=900
Next, divide the number of grams of flour by grams per large egg: 450/150=3
(1 point)
8. The ordered pairs (1, 2), (2, 4), (3, 8), (4,16), and (5,32) represent a function. What is a rule
that represents this function?
O y=x^2
O y=2x
O y=2^x
O y=x+2
Answers
9514 1404 393
Answer:
(c) y=2^x
Step-by-step explanation:
You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.
5^2 ≠ 32
2×5 ≠ 32
2^5 = 32 . . . . . a good candidate
5 +2 ≠ 32
Only the third choice matches the given ordered pairs.
__
If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).
Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).
Can someone write the equation of the line that passes through the points ( -3, 2) and ( -1, 6)? I suck at math and need help.
Answers
Answer:
Y=2x+8
Step-by-step explanation:
Plot points on graph and connect with line. Find slope and y intercept
By the way this is not my work
Answers
Answer:
Use unit converter.
Step-by-step explanation:
Reduce 45/36 fraction into the
lowest terms.
Answers
Answer:
[tex] \frac{5}{4} [/tex]
Hello there! :)
45/36
Let's look for common factors:
45 is divisible by 3, 9 (I list the common factors here)
36 is divisible by 3, 9
Now, the greatest common factor (9) is the one we will use.
Divide 45 by 9:
5
36 by 9:
4
So the answer is 5/4.
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
Answers
[tex] \rightarrow [/tex] 12.5%
=================================================
Explanation/Solution:To solve, use the formula:
[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]
Solve.
[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2
[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.
[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.
[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.
[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.
[tex] \rightarrow [/tex]x = 12.5
Therefore, the percentage of increase in the item is 12.5%.
What is the answer to 14÷22 ?
Answers
Answer:
0.63636363636363636
Step-by-step explanation:
14/22
Answer:
7/11 or 0.6363636363... and so on in that pattern.
Step-by-step explanation:
Well 14/22 is an irrational decimal which is 0.6363636363... and it goes on forever, so to put it in simple terms you can write it as a fraction as 7/11. (Sorry for being vague).
I hope this answer helped you if it is wrong please let me know. Thank you!
write this number in expanded form three hundred thirty nine thousand six
Answers
Answer:
339,006
Step-by-step explanation: i think
Answer:
300,000 + 30,000 + 9,000 + 6
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
What is 10 1/2 divided by 2 1/4
Answers
Answer:
14/3 or 4 2/3
Step-by-step explanation:
10 1/2 => 21/2
2 1/4 => 9/4
21/2 divided by 9/4
(Keep, Change, Flip)
21/2 * 9/4
Cross Simplify = 21 becomes 7 and 9 becomes 3. 2 becomes 1 and 4 becomes 2.
7/1 *2/3 = 14/3 = 4 2/3
Please help, geometry hw
Answers
Step-by-step explanation:
use SOHCAHTOA as shown above in the picture
left parenthesis negative 2 minus 4 right parenthesis plus left parenthesis 5 minus 10 right parenthesis minus 6 left parenthesis 3 right parenthesis
Answers
Answer:-29
Step-by-step explanation:
(-2-4)+(5-10)-6(3)
-6+-5-18
A study was conducted that measured the total brain volume (TBV) (in) of patients that had
schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal
patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009." 2013). Is
there enough evidence to show that the patients with schizophrenia have less TBV on average than a
patient that is considered normal? Test at the 10% level.
Table #9.3.5: Total Brain Volume (in ) of Normal Patients
1663407 1583940 1299470 1535137 1431890 1578698
1453510 1650348 1288971 1366346 1326402 1503005
1474790 1317156 1441045 1463498 1650207 1523045
1441636 1432033 1420416 1480171
1360810 1410213
1574808 1502702 1203344 1319737 1688990 1292641
1512571 1635918
Table #9.3.6: Total Brain Volume (in) of Schizophrenia Patients
1331777 1487886 1066075 1297327 1499983 1861991
1368378 1476891 1443775 1337827 1658258 1588132
1690182 1569413 1177002 1387893 1483763 1688950
1563593 1317885 1420249 1363859 1238979 1286638
1325525 1588573 1476254 1648209 1354054 1354649
Answers
Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a patient that is considered normal, that is, the subtraction is not negative, hence:
[tex]H_0: \mu_S - \mu_N \geq 0[/tex]
At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:
[tex]H_1: \mu_S - \mu_N < 0[/tex]
Regarding each sample, the mean and standard deviation are found using a calculator.
[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]
[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]
We have the standard deviation for each sample, hence, the t-distribution will be used.
The standard errors are given by:
[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]
[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]
The distribution of the difference has mean and standard error given by:
[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]
[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
In which [tex]\mu[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]
[tex]t = -0.47[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]
Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
A similar problem is given at https://brainly.com/question/13873630
which function is equivalent to f(n)=(n+2)^2+n^2-4
Answers
i hope this helps .
What is 11% of 96 students
Answers
Answer:
8.7
Step-by-step explanation:
8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7
pls pls help i’ll mark brainliest quickly!!!
Part A: The number of cubic feet of water, y, in a pool 2 hours after the water starts flowing into the pool is a linear function. The points (40,3000) and (60,4000) lie on the line of the function. Calculate the slope of the line.
Part B: What does the slope of the line represent in Part A? Explain in your own words and use compete sentence.
Part C: Explain how the slope formula is related to the definition of slope. Use complete sentences.
Answers
Answer:
m=50
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDAS
Algebra I
Slope Formula:
Step-by-step explanation:
Step 1: Define
Point (40, 3000)
Point (60, 4000)
Step 2: Find slope m
75% of what equals 30
Answers
Answer:
30 is 75% of 40
Step-by-step explanation:
We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75, x = 40.
And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.
Hey there!
75% of ? = 30
75% of x = 30
75/100 * x = 30
75 ÷ 25 / 100 ÷ 25 * x = 30
3/4 * x = 30
MULTIPLY 4/3 to BOTH SIDES
4/3 * 3/4x = 4/3 * 30
CANCEL out: 4/3 * 3/4 because that gives you 1
KEEP: 4/3 * 30 because it helps solve for your answer
x = 4/3 * 30
SIMPLIFY IT
x = 40
Therefore, 75% of [40] = 30
Answer: 40
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What does x= in the equation, 7(x-5=x+13
Answers
Answer:
X equals 8.
Step-by-step explanation:
Firstly, you remove the parentheses
Secondly, you move the terms
Then you collect like terms and add the numbers
Lastly, you divide both sides which gives you 6 x = 48,
so your answer is 8.
Hope this helped.
Answer:
x = 8
Step-by-step explanation:
Calculating purely on the assumption the question is equal to 7(x - 5) = x + 13
7(x - 5) = x + 13
7x - 35 = x + 13 ⇒ expand brackets
7x - 35 + 35 = x + 13 + 35 ⇒ add 35 to both sides
7x = x + 48
7x - x = x + 48 - x ⇒ subtract x from both sides
6x = 48
[tex]\frac{6x}{6} = \frac{48}{6}[/tex] ⇒ divide both sides by 6
x = 8
Hope this helps!
A truck has a bed 6 ft long, 5 ft wide, and
3 ft deep. If it was filled /4 of the way with
dirt. What is the volume of dirt in the bed
of the truck?
Answers
Answer:
6*5=30
30*3=90
so if its filled 1/4 forth full
90*1/4=22.5
So the volume of the dirt is 22.5^2 feet of dirt
Hope This Helps!!!
Fiill in the table using this function rule. Y=-3x+3
Answers
Answer:
3(x+1)
Step-by-step explanation:
Marks brother is five years older than mark. Their combined ages add up to 23. How old is mark?
Answers
Answer:Mark would be 11
Step-by-step explanation: If we divide 23 and 2 because there's two people we would get 11.5. Now subtract 11.5 by 5 which is 11. Mark is 11 years old. Good luck!
=
A student earns $11 per hour for tutoring and $9 per hour as a teacher's aid. Let x = the number of hours each week spent tutoring and y = the number of hours each
week spent as a teacher's aid.
Complete parts (a) through (e)
a. Write the objective function that describes total weekly earnings
Answers
Answer:
Total weekly earning = 11x + 9y
Step-by-step explanation:
(a) 11x + 9y = Total weekly earning
The required objective function is 11x + 9y which describes the total weekly earnings.
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
We have been given that a tutor makes $11 per hour while a teacher's aide receives $9 per hour.
Let's assume that x represents the number of hours each week spent tutoring and
y represents the number of hours each week spent as a teacher's aide.
According to the given information, we can write the linear function would be as:
⇒ 11x + 9y
Therefore, the required objective function is 11x + 9y which describes the total weekly earnings.
Learn more about the Linear functions here:
https://brainly.com/question/13738061
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What is the inverse of this function? f(x)=x−7
Answers
Answer:
f^−1(x) = x + 7Step-by-step explanation:
Replace f(x) with y. y = x − 7
Interchange the variables. x = y − 7
Solve for y. y = x + 7
Solve for y and replace with f^−1 (x). f^−1(x) = x + 7
I hope this helps have a great day :)
I don’t know the answer for this
Answers
Answer:
I think it is probably -12
Step-by-step explanation:
Write 34% as a fraction in simplest form
Answers
Answer:
The answer is that the simplest fraction form of 34% is 17/50
Step-by-step explanation:
Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.
34% = 17/50
Have an awesome day! :D
Answer:
[tex]\frac{17}{50}[/tex]
Step-by-step explanation:
To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as [tex]\frac{34}{100}[/tex].
Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.
[tex]\frac{34}{100}[/tex] = [tex]\frac{17*2}{50*2}[/tex]= [tex]\frac{17}{50}[/tex]
There are integers that are not rational
numbers, true or false?
Answers
Answer:
integers are always rational. They don't include decimals
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
All integers are rational numbers, since they can be expressed as a ratio (fraction) with a denominator of 1.
Simplify as far as possible without using a calculator.