Function ggg can be thought of as a scaled version of f(x)=x^2f(x)=x
2
f, left parenthesis, x, right parenthesis, equals, x, squared.
A parabola labeled f represents the equation y equals x squared. A parabola labeled g passes through the point negative 1, 4, through the origin, and through the point 1, 4.
Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.
Answers
Using translation concepts, it is found that the equation for function g(x) is given by:
g(x) = 4x².
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is given by:
f(x) = x².
This function passes through point (1,1). Function g(x) passes through point (1,4), that is, it is horizontally compressed by a factor of 4, hence g(x) is given by:
g(x) = 4x².
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Related Questions
Find the solution(s) to the system of equations represented in the graph. (2,0) (0,-2)
Answers
the solution to a system of equation is the point where they intersect. This occurs at (0, -2) and (2, 0).
Solve for x: 12x= 36
Please show all the steps that were given above that you must take to solve for x.
Answers
Step-by-step explanation:
x=36/12
x=2
I hope it's helpful for you12x = 36
x = 36÷12
x = 3
Hope it helps......
A packaging factory is open from Monday to Saturday.
In a particular week, 15,000 packets were packed on Monday and the factory was also closed on Tuesday.
If no less than 100,000 packets should be packed in that week, what is the minimum equal number of packets that must be packed per day for the remaining days?
packets
Answers
Answer:
A minimum of 21250 packets per day.
Step-by-step explanation:
If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.
The factory is open 6 days a week.
They need 100,000 packets.
They have 15,000 packets.
6 subtract 2 is 4.
100,000 subtract 15,000 is 85,000.
They need 85,000 packets in 4 days.
That is a minimum of 21250 packets per day.
21250 is minimum equal number of packets that must be packed per day for the remaining days
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that packaging factory is open from Monday to Saturday.
On monday 15,000 packets were packed.
On tuesday the factory is closed.
The factory has to pack in that week of 100000 packets.
As already 2 days completed by packing 15000
The remaining packets should be packed within 4 days.
The remaining packets are 100000-15000
85000
This should be done with in four days of time.
We need to find the minimum equal number of packets that must be packed per day for the remaining days.
Divide 85000 by 4
85000/4
21250
Hence, 21250 is minimum equal number of packets that must be packed per day for the remaining days
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Question 1 of 10
Which of the following statements regarding the expansion of (x + y)" are
correct?
A. The coefficients of X" and y both equal 1.
B. For any term xyl in the expansion, a + b = n
c. For any term xay in the expansion, a - b = n.
D. The coefficients of yn - 1 and yn – 1 both equal 1.
SUBMIT
Answers
The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.
How to expand?It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.
Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.
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What’s the length of QR?
Answers
Answer:
QR = 5.9
Step-by-step explanation:
QR = √(RP^2 - QP^2)
QR = √((7.6)^2 - (4.8)^2) = √(57.76 - 23.04) = √34.72 ≈ 5.9
whats the distance between the points (2, 7) and (2, 15)
Answers
Answer:
The distance between the points (2, 7) and (2, 15) is 8.
Step-by-step explanation:
What is the Distance between Two Points?
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
How to Solve:
Formula:[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]Putting Values:
[tex]=\sqrt{(2-2)^2+(15-7)^2}[/tex]
[tex]=\sqrt{(0)^2+(8)^2}[/tex]
[tex]=\sqrt{0+64}[/tex]
[tex]=\sqrt{64}[/tex]
[tex]=8[/tex]
Find the critical points of the function f(x)=45x^4/5+x^9/5
Answers
Answer:
Step-by-step explanation:
[tex]\mathrm{Critical\:Points\:of}\:45\frac{x^4}{5}+\frac{x^9}{5}:[/tex] [tex]x=-\sqrt[5]{20},\:x=0[/tex]
Critical Point Definition:
Critical points are points where the function is defined and its derivative is zero or undefined.Find where [tex]f'(x)[/tex] is equal to zero or undefined
[tex]x=-\sqrt[5]{20},\:x=0[/tex]
Identify critical points not in [tex]f(x)[/tex] domain
Domain of [tex]45\frac{x^4}{5}+ \frac{x^9}{5}: -{ \infty} < x < { \infty}[/tex]
All critical points are in domain
[tex]x=-\sqrt[5]{20},\:x=0[/tex]
Volume of prisims ssssssssssss
Answers
Answer:
x = 5
Step-by-step explanation:
Volume of Rectangular Prism: Volume = Length*Width*Height
300 = x * x * 12
300 = x^2 * 12
25 = x^2
x = 5
Use the graph below to answer the question that follows: graph of the curve that passes through the following points, 0, 3, pi over 2, 5, pi, 3, 3 pi over 2, 1, 2 pi, 3. What is the rate of change between the interval of x = 0 and x = pi over two? a two over pi b pi over two c pi over four d four over pi
Answers
Answer:A
nswer is D. four over pi
Step-by-step explanation:
x1=0, y1=3
x2=pi/2, y2=5
rate of change = (y2-y1)/(x2-x1)
=(5-3)/(pi/2-0)
=4/pi
what fraction of one day is 36 mins
Answers
Answer:
1 day = 1440min
so 36min of a day = 36/1440 = 1/40
Based on a sample of 55 people, the sample mean GPA was 3.33 with a standard deviation of 0.08
The test statistic is:
(to 2 decimals)
The p-value is: (to 2 decimals)
Answers
Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = 2.78.The p-value is of 0.01.What are the hypotheses tested?At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:
[tex]H_0: \mu = 3.3[/tex]
At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:
[tex]H_1: \mu \neq 3.3[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 3.33, \mu = 3.3, s = 0.08, n = 55[/tex]
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.33 - 3.3}{\frac{0.08}{\sqrt{55}}}[/tex]
t = 2.78.
We are testing if the mean is different of a value, hence we have a two-tailed test. Using a t-distribution calculator, with 55 - 1 = 54 df and t = 2.78, the p-value is of 0.01.
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An initial population of 415 quail increases at an annual rate of 32%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?
Answers
Answer:
Below in bold.
Step-by-step explanation:
The population P will increase by a factor of 1.32 each year.
The function is
P = 415(1.32)^t where t is the time in years.
After 5 years:
P = 415(1.32)^5 = 1663.
x + 14 = 28
Solve for ‘x’.
Answers
Step-by-Step Explanation:
=> x + 14 = 28
=> x = 28 - 14 = 14
Therefore, x = 14
[tex] \Large{\boxed{\sf x = 14}} [/tex]
[tex] \\ [/tex]
Explanation :Given equation:
[tex] \sf x + 14 = 28 [/tex]
[tex] \\ [/tex]
Subtract 14 from both sides :
[tex] \sf x + 14 - 14 = 28 - 14 \\ \\ \\ \boxed{\boxed{\sf x = 14}} [/tex]
[tex] \\ \\ [/tex]
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A small college with 1,200 total students has a student government of 40 members. From its members, the student government will elect a president, vice president, secretary, and treasurer. No single member can hold more than 1 of these 4 positions.
The permutation formula n Pr can be used to find the number of unique ways the student government can arrange its members into these positions,
What are the appropriate values of n and r?
Answers
Answer:
20 New professors
Step-by-step explanation:The current ratio is 1200%2F80 = 15.
The new ratio/proportion should be %281500%29%2Fx = 15.
From here, find x = 1500%2F15 = 100 professors.
They must hire 100-80 = 20 new professors.
Answer: N=40
r=4
Step-by-step explanation:
We use the notation
�
P
�
nPrn, start text, P, end text, r to describe permutations. This notation represents the number of unique arrangements that exist when we select
�
rr objects without replacement from a set of
�
nn distinct objects.
In this scenario, how many students are we selecting to fill positions? How many students are we selecting from?
Hint #22 / 3
The student government is electing
4
44 of its
40
4040 members to fill the positions of president, vice president, secretary, and treasurer. So
�
nn should be
40
4040 and
�
rr should be
4
44.
Hint #33 / 3
These are the appropriate values of
�
nn and
�
rr:
�
=
40
�
=
4
n
r
=40
=4
Solve Angle B please
Answers
Answer:
x = 9
Angle B = 40°
Step-by-step explanation:
Angle A = Angle B
[tex]5x-5=3x+13[/tex]
[tex]5x-3x=13+5[/tex]
[tex]2x=18[/tex]
[tex]x=18/2=9[/tex]
Angle B = 3x + 13 = 3(9) + 13 = 27 +13 = 40°
Hope this helps
Anyone? please help asap i really want to finish this
Note: please add the answer next to the number its from so I can know which question was answered
Answers
Answer:
Question 3: [tex]b \geq 2[/tex]
Question 4: [tex]r < -5[/tex]
Question 5: [tex]y \leq -6[/tex]
Step-by-step explanation:
Question 3:
[tex]b + 2 \geq 4\\b + 2 -2 \geq 4 - 2\\b \geq 2\\[/tex]
Question 4:
[tex]13 > 18 + r\\13 - 18 > 18 -18 + r\\\\-5 > r\\ r < -5[/tex]sign flips when r switches sides
Question 5:
[tex]3y \leq 2y - 6\\3y - 2y \leq 2y - 2y - 6\\\\y \leq - 6\\[/tex]
What is the approximate area of the following circle?
Answers
Answer:
[tex]38.47 {m}^{2} [/tex]
Step-by-step explanation:
The formula to find the area of a circle is
[tex] a= \pi {r}^{2} [/tex]
We know that
[tex]\pi = 3.14 \: \: \: \: \: \: r = 3.5[/tex]
Therefore the area is
[tex] a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}[/tex]
work is shown in picture :)
Can a triangle have sides with the given lengths?
9 cm, 4 cm, 11 cm
Answers
Find AC.
brainly is forcing me to make this longer but its just that
Answers
Answer:
24.49 units
Step-by-step explanation:
It si NOT a right triangle, so you'll have to use law of sines
angle C = 180 - 45-75 = 60 degrees
30 / sin60 = AC / sin 45
AC = 30 * sin 45 / sin 60 = 24.49 units
Solve the equation by completing the square. x^2 + 12x + 36 = 0 x = [?]
Answers
Answer:
x = - 6
Step-by-step explanation:
x² + 12x + 36 = 0 ( subtract 36 from both sides )
x² + 12x = - 36
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = - 36 + 36
(x + 6)² = 0 ( take square root of both sides )
x + 6 = [tex]\sqrt{0}[/tex] = 0 ( subtract 6 from both sides )
x = - 6
What is the independent variable in d= 43t ?
Answers
Answer:
t (based on the information you have given)
Step-by-step explanation:
d is dependent on the equation and 43 will probably change
Answer:
43
Step-by-step explanation:
In the expression d = 43t, two variables are visible. One represents constants and the other represents the dependent variable. X is often used to represent the independent variable which is the one that is always manipulated ( I CHANGE ). The 43 represents the variable that is always changing and being manipulated. 43 represents X as it is the representing the manipulated variable.
Solve for x, please show work!
Answers
Answer:
x = 3°
Step-by-step explanation:
The external angle where secants/tangents meet is half the difference of the intercepted arcs.
__
Here, that means ...
18x = (1/2)(194° -86°)
18x = 1/2(108°) = 54° . . . . . simplify
x = 3° . . . . . . divide by 18
In one particular suburb, there are 13 families that own a terrier. If there are a total of 20 families that own a dog in general, then what percentage of dog owners have a terrier?
153% have terriers
65% have terriers
7% have terriers
None of these answers are correct.
33% have terriers
Answers
Answer:
from what i got it is 65% have terriers
Step-by-step explanation:
13 / 20 = 0.65 meaning there is 65%
Hope This Helped
How many solutions over the complex number system does this
polynomial have?
3x6x³4x² + 3x+52=0
Answers
Answer:
For this case we have the following polynomial.
We note that the polynomial graph cuts only the vertical axis at one point.
The graph has no other cut points on the x axis
Therefore, the polynomial has:
6 complex solutions
0 real solution
Step-by-step explanation:
What is the greater common factor of 24 and 32
Answers
Answer:
8
Step-by-step explanation:
To calculate the greatest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the greatest factor that exactly divides both 24 and 32, i.e., 8.
Answer:
8
(factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32)
https://www.flocabulary.com/unit/gcf-lcm/
In a classroom of 20 kids, 3 girls are named Stephanie and 2 boys are
named John. The probability that a student picked at random is named
something other than Stephanie or John is what out of what?
Answers
Answer:
3/4 or 15/20
Step-by-step explanation:
this is because, you know there is 3 girls named the same thing and two boys named the same thing so if you know there are 20 people in the class, you do 3g + 2b = 5/20
So the fraction is either 15/20 or 3/4 for reduced fraction.
Mr. Benito just purchased 24 paint sets and a few sketch books for his art class. The total bill wūs $241. The paint sets cost a total of $105 and the sketch books $8 each. How many sketch books did he buy?
Answers
Answer:
He bought 32 sketchbooks
Step-by-step explanation:
E equals 32
Answer:
17
Step-by-step explanation:
We know:
The total bill was $241
The paint sets cost $105
Each sketchbook is $8
First, subtract the cost of the paint sets from the total bill. That leaves the entire cost of all of the sketch books.
241-105=136
Next, divide the cost of the sketch books by 8 to find the cost of one sketchbook.
136/8=17
Therefore, Mr. Benito bought 17 sketchbooks.
(d) develop a questionnaire for the based on the research under the study (5 marks) QUESTION TWO (10 MARKS) A marketing company which specializes in the sale of mobile phones has engaged you to investigate into what influences customers in the purchase of its wide range of phones. In your analysis of your administered questionnaires, you performed a regression analysis of certain features and benefits of the phones on customer purchase. Use the summary of the regression output in table 1 to answer the following questions Table I Models Unstandardized Coefficients Standardized Coefficients Sig (Significant) B Standard error Beta (Constant) 1.06 727 0.000 Shape 0.124 0.091 495 Colour 0.217 319 0.003 Sine 0.323 0.069 018 0.020 Name -0.429 0.012 4.023 0.102 Dependent Variable: Customer Purchase Required a. At 95% confidence level, interpret your data with respect to the objectives of the study (3 marks) b. From the analyzed data, what recommendation(s) will you make to the marketing company? (3 marks) c. What would be your answer if the analysis was performed at 99% confidence level (3 marks) dWhich variable makes the greatest impact or influence on customer purchase
Answers
Answer:
wait who you again have we met before wait what
Step-by-step explanation:
I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys
As a single logarithm, 2log2 6- log29+ 1/3log2 27 = log2 12.
Answers
Answer:
true
Step-by-step explanation:
2log2 6- log2 9+ 1/3log2 27 =
= log2 6² - log2 9 + log2 27^(1/3)
= log2 36 - log2 9 + log2 3
= log2 [(36 × 3)/9]
= log2 12
The statement is true.
Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.
An angler casts a fishing line into a body of water and its distance is recorded in centimeters.
, 1 of 2.
Select Choice
; , 2 of 2.
Select Choice
Answers
Based on the fact that the distance of the fishing line is the sample space being classified, we can say that it is Infinite and Continuous.
Is Distance a continuous variable?Distance is said to be a continuous variable because it can be described as an unlimited value between the objects being measured.
As a result, the distance of the fishing line in this case must be continuous which means that it is infinite by nature.
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