The graph of F(x) shown below resembles the graph of G(x)=x^3, but it has been changed somewhat. Which of the following could be the equation of F(x)?
Answers
Answer && Step-by-step explanation:
We know f(x) transcribes towards -x axis. thus ruling out b and d (remember signs opposite of what they mean on the board, you would think +# =towards x axis and vice versa also note if multiplied by a negative on the outside, flips signs inside)
choosing A.
plug in values of -x to see if you can get ~= to graph so -5 to -1
x: -5, -4, -3, -2, -1
y: -2, -.25, 0, .25, 2
checks out., A is your answer
The equation for f(x) is F(x) = 1/4(x+3)²
Given is a graph, showing the function g(x) = x³, we need to find the equation for the function f(x) in the graph,
We know f(x) transformed towards x-axis.
We see that, there is a left shift of 3 units, so the function will be (x+3)³
Also, the graph is spread out 4 units, so the function can be 1/4(x+3)³
Hence, the equation for f(x) is F(x) = 1/4(x+3)²
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Related Questions
Here is a system of equations: 7x-4y=-11
7x+4y=-59 would you rather use addition or subtraction to solve this system. Explain your reasoning.
Answers
Answer:
Addition
Step-by-step explanation:
Better to use addition since you already have a -4y and +4y. So if you add them together it will cancel out!
x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
We have a system of equations -
7x - 4y = - 11
7x + 4y = - 59
We have to investigate on the process of solving these equations.
What do you mean by System of Linear equations?A system of linear equations is a collection of one or more linear equations involving the same variables.
According to the question, we have -
7x - 4y = - 11
7x + 4y = - 59
We would subtract second equation from first as follows -
7x - 4y - (7x + 4y) = - 11 - (- 59)
7x - 4y - 7x - 4y = -11 + 59
-8y = 48
y = - 6
therefore -
7x - 4y = - 11
7x - 4(- 6) = -11
7x + 24 = -11
7x = -11 - 24
7x = - 35
x = -5
Hence, x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
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A sample of employees of Worldwide Enterprises is to be surveyed about a new health
care plan. The employees are classified as follows:
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
(a) What is the probability that the first person selected is:
(i) either in maintenance or a secretary?
(ii) not in management?
(c) Are the events in part (a)(i) complementary or mutually exclusive or both
Answers
Using the probability concept, it is found that:
a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.
b) The events are neither complementary nor mutually exclusive.
A probability is the number of desired outcomes divided by the number of total outcomes.
Item a:
In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.
Of those, 50 + 68 = 118 are either in maintenance or a secretary, hence:[tex]p = \frac{118}{2000} = 0.059[/tex]
There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
Item ii:
2000 - 302 = 1698 people are not in management, hence:
[tex]p = \frac{1698}{2000} = 0.849[/tex]
There is a 0.849 = 84.9% probability that the first person selected is not in management.
Item b:
If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.
To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717
Following are the solution to the given points:
For point a:
i)
[tex]\to P(B \cup E) = P(B) + P(E) - P( B\cap E)[/tex]
Where [tex]P(B \cap E) = 0[/tex] because they are both separate occasions It is impossible to be a member of both departments.
[tex]\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\[/tex]
[tex]=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\[/tex]
ii)
[tex]\to P(D^c) = 1 - P(D)[/tex]
[tex]=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\[/tex]
For point b:
Please find the attached file.
For point c:
Events in a. I are mutually incompatible since [tex]P(B \cap E) = 0[/tex]. One would be a part of the both departments.
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How to estimate the sums and differences
Answers
What is the square root of 144444444453?
Answers
Answer:
380058.475044
Answer:
Step-by-step explanation:
380058.475044
for factoring zero how do i solve? 3x^2-12x=0
Answers
How many solutions exist for the given equation? 3x+13 3(x + 6)+1
zero
one
two
infintely many
Answers
Answer:
Two solutions.
hope that will help you
Answer:
A. zero
Step-by-step explanation:
3x + 13 = 3(x + 6) + 1
step 1. distribute 3 through the parantheses:
3x + 13 = 3(x + 6) + 1
step 2. cancel equal terms on both sides of the equation:
3x + 13 = 3x + 18 + 1
13 = 18 + 1
step 3. add the numbers:
13 = 18 + 1
13 = 19
13 ≠ 19, so there is no solution.
may i please have brainliest?
How do you do this question?
Answers
Answer:
convergent
Step-by-step explanation:
the function increases or decreases or as the number of terms of the series increases.
Answer:
Divergent
Step-by-step explanation:
The series can be written as:
∑ 1 / (4n − 1)
We can compare this to 1 / (5n). 1 / (5n) is smaller and diverges (p-series test). Therefore, the larger function also diverges.
2/3x + 2/3 + 1/5x = 2/3x
Does it have one solution, no solution, or infinity many solutions?
Answers
Answer:
One solution
Step-by-step explanation
7x + 4y
if x = 5 and y = -3
Answers
Answer: 23
Step-by-step explanation: Plug in your values:
7(5) + 4(-3)
35 + (-12)
35 - 12
23
Hope this helps!
If 4 − 7x is 5 less than 23, what is the value of 3x ?
Answers
4 - 7x = 18
-4 = -4
-7x = 14
/-7 = /-7
X = -2
3x = -6
If the equation were 6x + 2 = 5x + 17, would there be one unique solution? What is it, and what would it mean in terms of the situation?
Answers
Answer:
15
Step-by-step explanation:
6x +2 =5x +17
6x - 5x =17 - 2
x =15
unique solution
multiple and divide signed numbers
Answers
Answer:
Step-by-step explanation:
Multiply answer = - 106
Divide answer = 1.25
What is 0.22778 as a percentage
Answers
Answer:
22.778%
Step-by-step explanation:
0.22778/1*100/100=22.778/100
A dice is rolled twice.
What is the probability of getting a 2 AND a 5?
Answers
Find the quotient.
−54÷−6
Answers
Answer:
9
Step-by-step explanation:
University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science)=0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts)=0.6 . The study also shows that the probability a student gets no degree is P(no)=0.2 .
A - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.3.
b) 0.6.
c) 0.1.
d) 0.2.
B - The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is:
a) 0.9.
b) 0.3.
c) 0.6.
d) 0.8.
C - The probability a student gets only a Bachelor of Arts degree is:
a) 0.1.
b) 0.5.
c) 0.3.
d) 0.6.
D - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.5.
b) 0.1.
c) 0.3.
d) 0.2.
E - If getting a Bachelor of Science degree is independent of getting a Bachelor of Arts degree, the probability of getting a Bachelor of Arts and Science degree is:
a) None of the answer options are correct.
b) 0.18.
c) 0.1.
d) 0.2.
Answers
Answer:
(A) c) 0.1
(B) a) 0.9
(C) b) 0.5
(D) b) 0.1
(E) b) 0.18
Step-by-step explanation:
Given;
P(science) = 0.3
P(Arts) = 0.6
P(no degree) = 0.2
(A) The probability a student gets a Bachelor of Arts and Science degree;
= 1 - [P(science) + P(Arts)]
= 1 - (0.6 + 0.3)
= 1 - 0.9
= 0.1
(B) The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is
= P(Science) + P(Arts)
= 0.3 + 0.6
= 0.9
(C) The probability a student gets only a Bachelor of Arts degree is
= P(Arts ) - P(Science and Arts)
= 0.6 - 0.1
= 0.5
(D) The probability a student gets a Bachelor of Arts and Science degree is:
1 - [P(science) + P(Arts)]
= 1 - (0.6 + 0.3)
= 1 - 0.9
= 0.1
(E) Independent case
= P(Science) and P(Arts)
= 0.3 x 0.6
= 0.18
Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Answers
Answer:
The perimeter of the figure is : 22.4 cm
The area of the figure is : 30.2 cm²
Step-by-step explanation:
From the diagram, the figure is a rectangle.
Use the coordinate points to find the lengths of each side.
Side length AD = side length BC
Apply the Pythagoras relationship to find length BC as;
a² + b²= c² where a=2 cm and b = 4 cm and c =BC
2² + 4² = c²
4+16 = c²
20 = c²
c= √20 = 4.4721
Length BC = Length AD = 4.5 cm
Side length AB = Side length DC
Apply the Pythagoras relationship to find length DC as;
a² + b²= c² where a=6 cm and b = 3 cm and c =DC
6² + 3² =c²
36 + 9 = c²
45 = c²
√45 = c
c= 6.7082
c = DC = 6.7 cm
Now you have measurements of the rectangle as;
Length = 6.7 cm and width = 4.5 cm
The perimeter will be ;
P= 2{l +w} --------- where l is length and w is width and P is perimeter of the rectangle
P=2{6.7 + 4.5}
P=2{11.2}
P= 22.4 cm
The area will be ;
A= l*w
A= 6.7 * 4.5 = 30.15 = 30.2 cm²
The perimeter of the figure is : 22.4 cm
The area of the figure is : 30.2 cm²
Answer:
its wrong
Step-by-step explanation:
A washer and a dryer cost $796 combined. The washer cost $54 less than the dryer. What is the cost of the dryer?
Answers
Answer:
The cost of the dryer would be 425$
Step-by-step explanation:
796 - 54 = 742
742 ÷ 2 = 371
371 = washer cost
371 + 54 = 425
425 = dryer price
======================================================
Explanation:
w = cost of washer
d = cost of dryer
costs are in dollars
w+d = 796 since the two costs combine to get a total cost of $796
w = d-54 because the washer is $54 cheaper
-------------------------
Let's start with the first equation and plug in the second equation
w+d = 796
(w) + d = 796
(d-54)+d = 796 ... replace w with d-54
d-54+d = 796
2d-54 = 796
2d = 796+54 ... adding 54 to both sides
2d = 850
d = 850/2 ... dividing both sides by 2
d = 425
The dryer costs $425
We can stop here.
-------------
If you want to find the cost of the washer, then,
w = d-54
w = 425-54 .... plug in d = 425
w = 371
The washer costs $371
Note that
w+d = 371+425 = 796
which matches with the total cost we were given. This confirms our answer.
The body of 150lb person contains 2.3x10-4 lbs of copper. How much copper is contaned
Answers
A school is purchasing new athletic uniforms for the basketball team. Each uniform costs the school $50.00. The school pays a $80.00 flat shipping fee. If the school spends $830.00 on the order, how many uniforms, did they purchase? a. Write the equation to solve the problem. b. Find the solution
Answers
Answer:
15 uniforms.
Step-by-step explanation:
830-80=750/50=15 : )
Anybody Know This. ?
Answers
You have 12 balloons to blow up for a party. You blow up 13 of them, and your friend blows up 5 of them. What fraction of the balloons still need blowing up?
Answers
Answer:
None
Step-by-step explanation:
First of all you have 12 balloonas, and you blow up 13 of them and your friend blows up 5 of them but you only have 12. So you can’t find the right amoun.
Answer:
The Awnser is 1/4
Step-by-step explanation:
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours?
Answers
Answer:
13 inches of snow
Step-by-step explanation:
Which equation has no solution? plsss helpppp
Answers
Answer:
Step-by-step explanation:
b
giving 70 points please help I only have 20 minutes to get It.......
Answers
Answer: 8
Step-by-step explanation:
Question One
There are 7 linomen, 2 running backs, 1 fullback, and 1 quarterback on an American football team. What is the ratio, in simplest form,
of the number of linemen to the total number of players on the team?
A
1:2
B.
2:7
С
7:11
11:2
Question Two
Answers
Answer:
7:11
Step-by-step explanation:
No of linemen = 7
No of running backs = 2
No of fullback = 1
No of quarterback =1
The total no of players on the team = 7+2+1+1 = 11
We need to find the ratio of the number of linemen to the total number of players on the team.
R = 7/11
or
R = 7:11
Hence, the required ratio is 7:11.
A = 2772 +2nrh
The surface area, A, of a cylinder of radius, r, and height, h, can be found with the equation
above. Which of the following correctly
shows the cylinder's height in terms of its radius and
surface area?
A
hr
27
А
h-
r
2πY
h=r-
+
А
h=
Answers
Answer:
A÷2πr=h
Step-by-step explanation:
Area=2πrh
making h the subject = A÷2πr=h
The last awnser is 1/21 btw pls help me thank u if you do and u get brainles
Answers
Answer:
2/121, 1/121
Step-by-step explanation:
Problem 1:
We have the following letters in the bag:
P R O B A B I L I T Y
There is a total of 11 letters.
If we select B, we have a 2/11 chance to get it. If we then replace it and select A, we have a 1/11 chance to select it.
Thus we have a (2/11) * (1/11) chance to get that combination,
Which is 2/121.
---------------------------------------------------------------------------------
Problem 2
We have the following letters in the bag:
P R O B A B I L I T Y
There is a total of 11 letters. If we select P, we have a 1/11 chance to get it. If we then replace it and select L, we have a 1/11 chance to select that.
Thus we have a (1/11) * (1/11) chance to get that combination,
Which is 1/121.
The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 960 feet of fencing available, what is the maximum possible area of the pasture?
Answers
Answer:
Step-by-step explanation:
960/3. that's 320 a side. They said maximum, I'm guessing they just wanted you to use base times height as if it was a square, since I'm not seeing any other information. the maximum possible area would be, if the sides were 320 each would be 102,400 square feet. Maximum
The given table values represents a liner equation. What is the slope?
A. 2
B. 3
C. 1
D. 4
Answers
Answer:
A. 2
Step-by-step explanation:
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use any two points given in the table of values. Let's use (1, 5), (3, 9)
Let,
[tex] (1, 5) = (x_1, y_1) [/tex]
[tex] (3, 9) = (x_2, y_2) [/tex]
Plug these values into the slope formula:
[tex] slope (m) = \frac{9 - 5}{3 - 1} [/tex]
[tex] slope (m) = \frac{4}{2} [/tex]
[tex] slope (m) = 2 [/tex]