Given:
The parent function is:
[tex]f(x)=x^2[/tex]
The graphs of f(x) and g(x) are given.
The graph of g(x) passes through the point (3,3).
To find:
The function g(x).
Solution:
From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,
[tex]g(x)=kf(x)[/tex]
Where, k is the stretch factor.
It can be written as:
[tex]g(x)=kx^2[/tex] ...(i)
The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get
[tex]3=k(3)^2[/tex]
[tex]3=k(9)[/tex]
[tex]\dfrac{3}{9}=k[/tex]
[tex]\dfrac{1}{3}=k[/tex]
Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get
[tex]g(x)=\dfrac{1}{3}x^2[/tex]
Therefore, the correct option is D.
please answer fast pls .................
Answer:
A
Step-by-step explanation:
Kunal Sagar
12 10 -6 years before is 6:5
18 16 -Now
22 20 - 4 years in the future at 11:10
So it all works out :)
Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.
Answer:
y = 5x - 2
Step-by-step explanation:
can somebody please help me like neowwwww!!!!
--Answer--
The second one, fourth, and fifth.
--Explanation--
1. - 6.283...
2. 7.142...
3. 6.928...
4. 7.483...
5. 7.874...
The product of 5 and y is equal to 45.
need help
Answer:
y is -4.55
Step-by-step explanation:
Answer:
9 would be the correct solution to this question?
Construct a 135° Angle
Now, provide the step - by - step instructions that you devised to create your own construction.
*WILL GIVE BRAINLIEST*
Answer: This would be how I would do it, so the answer might vary from what the teacher wants.
A 135 degree angle is a 90 degree plus 45 degree. So I would first draw a straight line, then divide the line into two 90 degree angles with a perpendicular bisector. Then I would draw a line dividing one of those 90 degree angles into two 45 degree angles. Now I would erase the middle line and now you have a 135 degree angle hint 90 + 45.
Step-by-step explanation:
Answer:
Step-by-step explanation:
90 ° + 45° = 135°
HELP PLEASE!! HURRY!!!! NO SPAM!!!!!! Identify the solution set of the inequality 4|f + 6| ≤ −16 and the graph that represents it.
Answer: f=3
Step-by-step explanation:
The intervals means that angle f is between the quadrant 1.
where x+y=90
Need help with this ASAP! THANKS
what are the steps to this problem?
please help me out here. I know the answer but I don't know what the radical is
Answer:
9
Step-by-step explanation:
There is no radical it's just 9
PLEASE HELP
Write an equation of a line that passes through (3, -1) and is parallel and perpendicular to y = 6x - 4
the first person to get this will get all 60 points and brainliest
Answer:
x + 6y = -3
Step-by-step explanation:
Explained in the paper.
Help please I keep missing the middle one
Answer:
4 + (1/3)w + w = 24
subtract 4 from both sides
(1/3)w + w = 20
multiply both sides by 3 to clear the fraction
w + 3w = 60
4w = 60
Divide both sides by 4
w = 15
The mean absolute deviations for two sets of data are shown. The data points in Set 1 are more the mean than the points in Set 2 because the mean absolute deviation is .
Answer:
The data points in Set 1 are more spread out than the points in Set 2 because the mean absolute deviation of set 1 is larger.
Step-by-step explanation:
Given
Mean absolute deviations of set 1 and 2
Required
Complete the gap
From the complete question, we have that:
set 1 has a larger mean absolute deviation than set 2
This means that:
The dataset of set 1 is more spread out than that of set 2
The reason for this is that:
set 1 has a larger mean absolute deviation
state what region A represents.
Answer:
Region A represents the solution to the system of inequalities.
Mrs. Jeffers bought 3 ¼kg of caramels and 2½ of chocolate. How many kilograms of candy did she buy altogether?
Which sequence is arithmetic? A- 2,6,18,54... B- 3,6,12,24... C- 11,14,17,20... D- 7,11,13,18
I think B. 3,6,12,24 is the answer
Answer:
C
Step-by-step explanation:
the pattern is add 3
11 + 3 = 14
14 + 3 = 17
17 + 3 = 20
A scientist is growing two species of bacteria. She defines a variable t that represents the number of days after the growth begins. The number of bacteria after t days is defined by: Species A: y=1000∙2^(t/3)
Species B: y=1000∙2^3t
(a) how many bacteria does each species start out with?
Number of bacteria each species start out with for the given exponential growth function is equals to 1000.
What is exponential growth function?
" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."
Formula defined
Exponential model
[tex]y =y_{0} e^{kt}[/tex]
[tex]y =[/tex]growth in the quantity
[tex]y_{0}[/tex] = initial quantity
[tex]k=[/tex] exponential growth
[tex]t=[/tex] time taken to grow
According to the question,
Given exponential function,
For Species A : [tex]y=1000 (2^{\frac{t}{3} } )[/tex]
For Species B : [tex]y=1000 (2^{3t} )[/tex]
't' represents the number of days after the growth begins
a. For the given condition of the exponential growth function ,
t = 0 when species start out with
For species A
[tex]y=1000 (2^{\frac{0}{3} } )[/tex]
⇒ [tex]y=1000[/tex]
For species B
[tex]y=1000 (2^{3(0) } )[/tex]
⇒ [tex]y=1000[/tex]
Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.
Learn more about exponential growth function here
https://brainly.com/question/11487261
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Help me which one is correct?
Answer:
here is the answer bae. Feel free to ask for more
Answer: -m3+m2
Step-by-step explanation: 2m2-[m2(7m-)]6m2
2m2-7m2-m3+6m2
-m3+m2
PLEASE HELP: Click on the graph to choose the correct answer to the equation.
y > 2
(Choose one of the graphs from the image as the answer)
Answer:
The 8th graph.
Step-by-step explanation:
It has a horizontal line over two which indicates that the y axis is known and over 2.
The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been the given inequality y > 2
Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).
It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.
Therefore, the required graph of the given inequality y > 2 is shown in the attached file.
Hence, the correct answer would be option (H).
Learn more about inequalities here:
brainly.com/question/20383699
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Please help me with this question please!!!
A = x * x = x^2
B = 6 * x = 6x
C = 8 * x = 8x
D = 6 * 8 = 48
So the area of the whole shape is each side added up then multiplied to give (x+6)(x+8) =
x^2 + 14x + 48
need help with this Q&A
Answer:
the second option
y = (-1/2)x + 11
Step-by-step explanation:
x = 2
y = (-1/2)×2 + 11 = -1 + 11 = 10
the same as the table.
x = 4
y = (-1/2)×4 + 11 = -2 + 11 = 9
the same as the table.
x = 6
y = -3 + 11 = 8
the same as the table.
x = 8
y = -4 + 11 = 7
the same as the table.
Is [tex]18x^6+5y^6[/tex] prime polynomial why or why not
No files
Answer:
yes
Step-by-step explanation:
[tex]18x^6 + 5y^6 \ cannot\ be \ factorized \ further. \\\\So \ it \ is \ a \ prime\ polynomial.[/tex]
20x + 8y= 500 solve for x and y
pls help i will give brainliest
Answer:
XOC = 60
Step-by-step explanation:
AOC = DOB because they are vertical angles
AOX+XOC = 25+45
10+XOC = 70
XOC = 70-10
XOC = 60
Determine the value of c that makes the function f(x y) = c/x-y/ a joint discrete probability density function for x=2,0,2 and y=-2,3
Given: The given function is
[tex]f(x,y)=c(x-y)[/tex]
To find: Here we need to find the value of c for which f(x,y) will be a joint
discrete probability density function.
Solution:
Now, to find c we have,
[tex]\int\limits^3_{-2} \,\int\limits^2_0 {f(x,y)} \, dx dy\\=\int\limits^3_{-2} \,\int\limits^2_0 {c(x-y)} \, dx dy\\\\=\int\limits^3_{-2} \,[2c-2cy]dy\\=10c-5c\\=5c\\The integral should be1.\\So, 5c=1\\[/tex]
∴[tex]c=\frac{1}{5}[/tex]
Therefore, the required value of c is 1/5.
if a = 8 + 3 root 7 and b = 1/a find a^2+b^2
Answer:
317.49508~317.50
Step-by-step explanation:
a=15.937253933193771
b=7.9686269665968858
a²+b²=(15.937253933193771)²+(7.9686269665968858)²
=(253.99606)+(63.49902)
=317.49508
use the diagram to find the value of x
Answer:
4
Step-by-step explanation:
18x = 12(x+2)
18x = 12x+24
18x-12x = 24
6x = 24
x = 4
Which ones are parallel?
Answer:
a║b
Step-by-step explanation:
Who wants to help me
Answer:
Step-by-step explanation:
The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.
On a coordinate plane, a cube root function goes through (0, 1), has an inflection point at (1, 0), and goes through (2, negative 1).
Which equation represents g(x)?
g (x) = RootIndex 3 StartRoot x + 1 EndRoot
g (x) = RootIndex 3 StartRoot x minus 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x + 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot
Transformation involves changing the form of a function.
The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]
Function f(x) is given as:
[tex]f(x) =\sqrt[3]{x}[/tex]
First f(x) is reflected across the x-axis.The rule of this transformation (i.e. reflection) is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f'(x) = -f(x)[/tex]
This gives
[tex]f'(x) =-\sqrt[3]{x}[/tex]
Next, f'(x) is translated 1 unit leftThe rule of this transformation (i.e. translation) is:
[tex](x,y) \to (x+1,y)[/tex]
So, we have:
[tex]g(x) = f'(x+1)[/tex]
This gives
[tex]g(x) =-\sqrt[3]{x+1}[/tex]
Hence, the equation that represents g(x) is (c)
Read more about transformation at:
https://brainly.com/question/12619643
Answer:
Its D
Step-by-step explanation:
just did the quiz
please help me out in this account question I have exams tomorrow I have linked the question here
Answer: 70,900 Rs
Step-by-step explanation:
8400
8000
2000
10000
40000
3000
+ 500
71900
- 1000
70900
= 70,900 Rs