If f(x)=x^3 and g(x) = (x + 4)^3, which description represents the graph of function g?
A. a horizontal transformation of function f4 units right
B. a vertical transformation of function f4 units down
C.a vertical transformation of function f4 units up
D. a horizontal transformation of function f4 units left
Answers
Answer:
D. 4 units to the left
The transformation of the function will be 4 units to the left. The correct option is D.
What is translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.
Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.
When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).
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Related Questions
36^x-2=6 solve for x
Answers
Answer:
x = [tex]\frac{in (8)}{in (36)}[/tex] if you consider doing decimal form x = 0.58027921. . .
Step-by-step explanation:
Take logarithm of both sides of the equation to remove the variable from the exponent.
Consider the following system of equations.
3x + 5y = 18
6x − 5y = 20
Decide which procedures eliminate the x variable and which eliminate the y variable. Drag and drop each procedure that will eliminate one of the variables into the appropriate category.
Subtract the second equation from the first equation.
Add the first and second equations. Multiply the first equation by −2; then add the two equations.
Divide the second equation by −2; then add the two equations. Subtract the first equation from the second equation.
Multiply the first equation by 2 then add the two equations.
Eliminate x Eliminate y
Answers
Answer:
Option B
On adding the first and second equations y can be eliminated
Step-by-step explanation:
The two equations are as follows
3x + 5y = 18 -- Eq (1)
6x − 5y = 20 -- Eq (2)
Adding equation 1 and 2, we get -
3x + 6x + 5y -5y = 18
9x = 18
x = 2
y = (18-3*2)/5
y = 12/5 = 2.4
Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 1 or a 6, nothing otherwise. What is your expected value?
A. $5.00
B. –$1.33
C. $3.00
D. –$3.00
Answers
Answer:
I would say D
Step-by-step explanation:
I say D because there is only a 2/6 chance of getting the 5 bucks so it's more likely to get no money back and lose the 3 bucks
Identify the terms and coefficients of each expression.
7 + 8p - 2^r g^2- 14h + 10
terms: terms:
coefficients : coefficient:
Answers
Help please will give brainiest!
Write the equation of the line in Slope-Intercept form.
Answers
Answer:
Y=-2/3+4
Step-by-step explanation:
The slope of the equation can be solved with
2-4/3-0 y2-y1 divide by x2-x1 which gives 3/2 and the y intercept the point at which the slope hits the y intercept which is 4. Also the slope is negative as it’s pointed downwards.
Getting the slope:
m=[tex](y_1 - y_2 )/(x_1 - x_2)[/tex]
Using this formula, the slope is calculated to be -2/3
To find intercept, plug in a point value into equation and solve.
Intercept = 4
Total equation: y=-2/3x + 4
NEED HELP ASAP!The maker of a cell phone screen protector would like to estimate the proportion of customers who file a warranty claim. To do so, they select a random sample of 200 customers and determine that the 96% confidence interval for the true proportion of customers who file a warranty claim to be 0.15 to 0.28. Which of the following can be accounted for by the margin of error of this interval?
response bias
nonresponse bias
sampling variation
undercoverage bias
Answers
Answer: sampling variation
Step-by-step explanation: took the quiz
The margin of error is given by the sampling variation of the proportion of customers
What is simple random sampling ( SRS )?The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.
This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.
Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.
Given data ,
Let the margin of error be represented as A
where the value of A is
The confident interval is = 96 %
And , the value of sample is of 200 customers
where the warranty claims from 0.15 to 0.28
So , the cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim
Therefore , it is a sampling variation
Hence , the situation is a sample variation
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Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answers
Question 2: Answer D - IV, I, II, III
Help due in 10 minutes
Answers
Answer:
II and III are right
Step-by-step explanation:
The reason I is wrong is the zeros are (-2, 0) and (4, 0)
On Tuesday the train journey took 7 hours and 20 minutes and began at 13 53. (i) At what time did the train journey end? [1] (ii) Tuesday's time of 7 hours 20 minutes was 10% more than Monday's journey time. How many minutes longer was Tuesday's journey?
Answers
i)It ended at 21:13
ii) 440*10/100
44 mins longer
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
110% = 440 minutes (Tuesday journey)
100% = 100/110 x 440
100% = 400 minutes (Monday journey)
Tuesday's journey took 40 minutes longer than Monday's journey.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
On Tuesday the train journey took 7 hours and 20 minutes and began at
13:53.
The time train journey ended.
= 13:53 + 7 hours + 20 minutes
= 13 hours + 53 minutes + 7 hours + 20 minutes
= 20 hours + 73 minutes
= 20 hours + 60 minutes + 13 minutes
= 20 hours + 1 hour + 13 minutes
= 21 hours + 13 minutes
This means,
= 21:13
The train ended the journey at 21:13
Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.
This means,
Converting into minutes.
7 hours 20 minutes
= 60 x 7 + 20 minutes
= 420 minutes + 20 minutes
= 440 minutes
Monday's journey time.
110% = 440 minutes:
100% = 100/110 x 440
100% = 400 minutes
Thus,
Tuesday's journey took 40 minutes longer than Monday's journey.
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2 CDs and 9 DVDs cost £69. 2 CDs and 6 DVDs cost £48. i. Form a pair of simultaneous equations to represent these two sentences ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Answers
Answer:
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
Step-by-step explanation:
Let us represent:
Cost of 1 CD = x
Cost of 1 DVD = y
i. Form a pair of simultaneous equations to represent these two sentences
2 CDs and 9 DVDs cost £69.
2x + 9y = 69.... Equation 1
2 CDs and 6 DVDs cost £48.
2x + 6y = 48..... Equation 2
ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Combining both equations together:
2x + 9y = 69.... Equation 1
2x + 6y = 48..... Equation 2
We substract Equation 2 from Equation 1
3y = 21
y = £7
Solving for x using Equation 1
2x + 9y = 69.... Equation 1
2x + 9 × 7 = 69
2x + 63 = 69
Collect like terms
2x = 69 - 63
2x = 6
x = 6/2
x = £3
Therefore,
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
A total of 200 people attended a carnival. Children tickets to the carnival cost $2.00. Adult tickets to the carnival cost $4.00. In all, the carnival made
$702 from the tickets sold. Show your work.
Write a system of equations to model the above situation. Define your variables.
- Solve the above system. Show your work or explain how you got your answer in the space provided.
-How many adult tickets were sold? How many children tickets were sold?
Answers
Answer:
$15.02
Step-by-step explanation:
add the money then add the 200. to what u get when u add the money
large bag of popcorn costs $ 4. A small bag costs $ 3. The theater sold 59 bags of popcorn and made $ 200. How many of each size was sold?
Answers
Answer:
36 units of small size popcorn
23 Units of Large popcorn
Step-by-step explanation:
Data:-
Cost of large bag of popcorn = $4/-
Cost of Small bag of popcorn = $3/-
Unit Sold = 59 Bags
Sale = $200.
Required:-
No of unit each size sold = ?
Solution:-
After applying direct formula to computation is below mentioned:
= (36 x 3)+(23x4)
=$200
Which algebraic expression is a polynomial?
4x2 – 3x + StartFraction 2 Over x EndFraction
–6x3 + x2 – StartRoot 5 EndRoot
8x2 + StartRoot x EndRoot
–2x4 + StartRoot 3 Over 2 x EndRoot
Answers
Answer:
Option B.) –6x3 + x2 – √5
Step-by-step explanation:
A is wrong because, polynomial expressions cannot have a variable as a denominator.
C is wrong because there is no constant.
D is wrong because, polynomial expressions cannot have a variable as a denominator.
Hope that helps! :-)
The algebraic expressions which is a polynomial is; Choice B: –6x3 + x2 –√5
What is a polynomial?An algebraic expression, put simply is an expression made up of integer constants, variables, and the algebraic operators. For example, 5x² − 7xz + c is an algebraic expression.
A polynomial is all of the above and in addition, non-negative integer exponentiation of variables
Only choice B; satisfies this condition as to term in the expression is divided by a variable.
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Can anybody tell the answer to this please!?
Answers
Answer:
the height when it was planted
Step-by-step explanation:
it started at 13 and grew 2.5 inches a week
Help me pls TwT I’m really suck at school
Answers
Answer:
The answer is A.
Step-by-step explanation:
PLEASE HURRY TIMED BRAINLIEST
Which transformations are needed to change the parent cosine function to the cosine function below?
Answers
Answer:
Answer is D
Step-by-step explanation:
Did it on Edge
The transformations are needed to change the parent cosine function to the cosine function is
Vertical stretch of 2 and horizontal compression to a period π/2 and phase shift to π unit left and vertical shift of 1 unit down.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2.
and, after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3
So, vertical stretch of 2 and horizontal compression to a period π/2.
Now, the phase shift to π unit left and vertical shift of 1 unit down.
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The difference between 25 and a number is at least 13.
Answers
Answer:
x ≤ 12
Step-by-step explanation:
The problem can be represented by the equation:
25 - x = y and y ≥ 13
So, we find that 25 - 12 = 13, which means that any number greater than 12 would result in a difference lower than 13. This sets 12 as the maximum.
A bookcase contains these books. 36 cookbooks 17 autobiographies
39 novels 22 reference books One book is selected at random from the bookcase. Based on the information, which statement is true?
A The book is twice as likely to be a cookbook as a reference book.
B The book is just as likely to be a novel as it is to be an autobiography or a reference book.
C. The book is more likely to be a cookbook than a novel.
D. The item is half as likely to be a reference book as a novel.
Answers
Answer:
A
Step-by-step explanation:
Your classmate says that the solutions to the given inequality are x > -2. Look carefully at the work. Should your friend have reversed the inequality symbol? Explain. Then solve the inequality correctly.
Please don't send those annoying files, I'm not trying to get a virus on my laptop. Please, if you can, just write out the steps/answer(s).
Answers
Answer:
x < -2 (No, he shouldn't have reversed the inequality symbol).
Step-by-step explanation:
Given the algebraic expression;
19 - 2(1 - x) < 13
Opening up the bracket, we have;
19 + (-2*1) + (-2*-x) < 13
19 + (-2) + (2x) < 13
19 - 2 + 2x < 13
17 + 2x < 13
Rearranging the equation, we have;
2x < 13 - 17
2x < -4
Dividing both sides by 2, we have;
x < -2
Hence, your friend shouldn't have reversed the inequality symbol (sign).
Note: you should only flip the inequality symbol (sign) when you're dividing by a negative number such as -2.
For example, if we had re-arranged the equation as;
17 - 13 < -2x
4 < -2x
Dividing both sides by -2, we have;
4 > x
Find the perimeter of the figure.
Answers
Answer:
56 meters or 56 m
Step-by-step explanation:
We first want to find the small square at the top it has 3 sides of the same length so it must be a square
5+5+5 is = to 15.
Then to find the bottom rectangle we so 7+7+11+11+5 and we get 14+22+5 and then 36+5 to end up getting 41
Then 41+15=56
I need help on my math someone help me
Answers
Answer and Step-by-step explanation:
Definitions:
Obtuse - Angles that are greater than 90 degrees, but shorter than 180 degrees.
Acute - Angles that are less than 90 degrees but greater than 0 degrees.
Right - Angles that are exactly 90 degrees.
1. Obtuse
2. Right
3. Acute
4. Right
5. Obtuse
6. Acute
7. Obtuse
8. Acute
9. Right
#teamtrees #PAW (Plant And Water)
the terminal side on an angle in standard position is ____
a. drawn with one end at the origin and the other at some angle to the initial side
b. connected to both ends of the initial side
c. always to the left of the initial side
d. rotated clockwise from the initial side as the angle increased
Answers
Have a good day!
Aye hello THIS IS FOR 30 POINT AND BRAINLIEST .
Help me on this question please
Possible: impossible:: ______ is to uncertain
Pls help me :c
Answers
If possible is to impossible then certain is to uncertain..
Answer:
its easy answer is certain
Where is the blue dot on the number line?
Answers
Answer:
-11.3
Step-by-step explanation:
You start off at -11 and count down and it ends up at -11.3
At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor,
membership is $90 per month, and personal training sessions are $35 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms
Answers
Answer:
6 sessions
Step-by-step explanation:
s= session
silver gym: 30 + 45s
session 1: 75
session 2: 120
session 3: 165
session 4: 210
session 5: 255
session 6: 300
fit factor: 90+ 35s
session 1: 125
session 2 : 160
session 3: 195
session 4: 230
session 5: 265
session 6: 300
A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning
Answers
The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.
Answer:
1 inch = 8.333 feets
Step-by-step explanation:
Initial dimension of rectangle :
100 feets by 10 feets
Fractional decrease in garden = 2/3
New Dimension of garden :
2/3(100 feets) by 2/3(10 feets)
66.667 feets by 6.6667 feets
Hence
From the picture attached :
8 inch = 66.667
1 inch = 8.333
The new scale of the drawing = 1 inch = 8.333 feets
Maria deposits $1,950 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Maria’s account earned after 4 years?
Answers
Answer:
x = .06418
Step-by-step explanation:
2 + (9.2)−8x = 2.32
(9.2)−8x = 2.32 − 2
log (9.2)−8x = log .32
−8x log 9.2 = log .32
−8x log 9.2
−8 log 9.2
=
log .32
−8 log 9.2
x = .06418
Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and
surrounded by packaging material. The total weight of the refrigerator, box, and packaging
material was 205 pounds.
What is the weight of the box and packaging material?
Enter your answer in the box.
pounds
Answers
Answer:
13 pounds
Step-by-step explanation:
We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:
205 - 192 = 13 pounds
That means that the box and the packaging is 13 pounds. Hope this helps!
Find the value of x and classify the triangle plzzz
Answers
Answer:
x=24°
The triangle is an obtuse isosceles triangle
Step-by-step explanation:
This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.
The interior angles of a triangle add up to 180, so let's make an equation.
132+2x=180
Then solve for x
subtract 132 from both sides
2x=48
Divide by 2 on both sides
x=24
help me please
:)
i really need it
Answers
Answer:
3.5 qt or 3 qt and 2c
Step-by-step explanation:
4 cups makes 1 quart
14/4 = 3.5
