![Suppose F(x) = [tex] {x}^{2} [/tex]. What Is The Graph Of G(x)=1/2f(x)?](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/K6O6kqkgyu41bNfHOkPuH02l1cwVh6im.jpeg)
Answers
Answer:
It's D.
Step-by-step explanation:
The 1/2 stretches the graph horizontally of x^2 by a factor 1/2.
Option-D will represent the required graph of the function [tex]g(x) = \frac{1}{2}f(x)[/tex].
What is a function?"A function is defined as a relation between a set of inputs having one output each."
The given function:
[tex]f(x) = x^{2}[/tex]
Therefore the required function is:
[tex]g(x)\\= \frac{1}{2}f(x)\\= \frac{1}{2}x^{2}[/tex]
By putting the values of 'x' as -2, -1, 0, 1, 2 etc. we get:
[tex]g(-2) = (-2)^{2} = 4\\ g(-1) = (-1)^{2} = 1\\ g(0) = (0)^{2} = 0\\ g(1) = (1)^{2} = 1\\ g(2) = (2)^{2} = 4[/tex]
By plotting this value, we get option-D is the graph that represents the function g(x).
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![Suppose F(x) = [tex] {x}^{2} [/tex]. What Is The Graph Of G(x)=1/2f(x)?](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/oZrwam4CVUBNG7IHBuBc4TAa5dHQWwCN.png)
Related Questions
Find the volume of the rectangular prism
A) 19 in3
B) 57 in3
C) 144 in3
D) 288 in3
Answers
Answer:
C) 144 in3
Step-by-step explanation:
Area of rectangular prism = lwh
8*9*2 = 144
52.5 ft
25 ft
22 ft
18.18 ft
for the picture below
Answers
Answer:
18.1818181 Feet
Step-by-step explanation:
Divide 27.5 by 20 to establish a ratio between the length and width of the house, then multiply your new ratio by 25. Units do not matter, as long as it's not like 27.5 mm high by .05 ft wide.
What is the distance between points A(1,9) and B(4, -2)?
Answers
Suppose f(x) = x2. What is the graph of g(x)= 1/3f(x)
Answers
Answer:
Step-by-step explanation:
The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).
The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.
The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)
What is the graph of a function?"The graph of a function f is the set of all points in the plane of the form (x, f(x))."
For given example,
f(x) = x²
The graph of a function f(x) would be a parabola with vertex at origin (0, 0).
And g(x) = 1/3 f(x)
⇒ g(x) = 1/3 (x²)
We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.
Since for a parabola g(x) the quadratic coefficient is 1/3.
This means the parabola g(x) is wider than the parabola f(x)
So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.
The graph of g(x) is parabola (as shown in following figure)
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Lines AB and CD are parallel. If 2 measures (3x - 33)°, and 4 measures 147°, what is the value of x?
Answers
Step by step:
189-147=33
33+33=66
66/3=22
please help:)))))))))))))
Answers
Answer: The area is 103.5
Step-by-step explanation: The question becomes very simple once you know how to split this object into objects that you most likely know how to solve the area of. In truth, if you split the shapes in triangles and rectangles, you would find 4 rectangles and a triangles. Once you have solved the area of all of them, you would just have to add. How I solved it goes like this. I added 22.5 as the triangle, 35 as a rectangle, 2 as another rectangle, 18 as another rectangle, and 26 as the final rectangle.(take note that these numbers are the areas of the split shapes) If you added correctly, you would get 103.5
When using an equivalent fraction to find the percent , why do u write 100 as the denominator?
Answers
Answer:
This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.
Step-by-step explanation:
325,310,289,288,285,285,285,280,273. the mean of the set is 290 pounds what is the mean absolute deviation of the data set,to the nearest whole number
Answers
Answer:
276
Step-by-step explanation:
In the diagram shown, 4 24, and 22 = 23. The sum of the measures of the four
angles is 120°. The measure of 22 is 10° less than the measure of 4. What is the
combined measure of angles 1, 2 and 3?
A. 85°
B. 95°
C. 105
D. 115°
Answers
Ms. Augustine is playing a game with her class. When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results.
What would the number be when the student says 8?
A. 58
B. 56
C. 54
D. 50
Answers
Answer:
When a student tells her a number, she uses a rule to determ
Step-by-step explanation:
Get the answers ... When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results. What would the number be when the student says 8? A. 58. B. 56. C. 54
Answer:
58
Step-by-step explanation:
What is the value of x?
A.2
B.3
C.6
D.7
Answers
Answer:
A
Step-by-step explanation:
Given 2 secants from a point outside the circle.
Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)
(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides
x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides
4x + 12 = 20 ( subtract 12 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → A
What’s this answer?
Answers
Answer:
x=2, y=1
Step-by-step explanation:
The left and right sides are equal
7x-2 = 5x+2
Subtract 5x from each side
7x -5x-2 = 5x-5x+2
2x-2 = 2
Add 2 to each side
2x -2+2 = 2+2
2x = 4
Divide by 2
2x/2 = 4/2
x =2
The top and the bottom are the same length
6x+y = 7x-1
6(2) +y = 7(2)-1
12 +y = 14-1
Subtract 12 from each side
12 +y-12 = 13-12
y = 1
Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment. Each
group of students needs 3/8 pint of vinegar. Trey draws the number line model and writes the
equation below to help Ms. Nellies figure out how many 3/8-pint servings of vinegar she has.
Are Trey's number line model and equation correct?
Answers
Answer:
Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.
Answer:
incorrect
wrong equation 2 1/2 / 3/4
correct equation 2 1/2 / 3/8 = 6 2/3
6 groups of students.
Step-by-step explanation:
help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: Matt is correct
Step-by-step explanation: length x width x height so it's D
7. For a period of time, an island's population of rabbits grows at a rate proportional to its population. If the
population doubles every 17 years and the current population is 196, what will the population be 45 years from
now?
can someone help me with this? i’m desperate
Answers
Answer:
The answer is 784
Step-by-step explanation:
You divide 17 from 45 it will equal 2.647 years technically 2 year that the population has doubled.
You multiply 196 by 2 and do that a second time to get 784.
please help asap, will mark brainlest. Thanks
Answers
Answer:
2.
4x^2 + 4 - 5x + x - 2x^2 + 8
= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)
= 2x^2 - 4x + 12
=> D is correct
3.
2x^2 + 6x - 7x + 8 - 3x^2 + 1
= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)
= -x^2 - x + 9
=> C is correct
4.
B is correct (4 and 3)
Hope this helps!
:)
Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 25
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?
Answers
Answer:
If the function is
A(n) = 4n -25
and we wish to get the inverse function N(a)
We let
A(n) = a
n = N(a)
Plugging in the values
a = 4 N(a) - 25
Arranging the equation:
4 N(a) = a + 25
N(a) = (a + 25) /4
The answer is
N(a) = (a + 25) /4
Step-by-step explanation:
The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.
What is an inverse function?An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever
y = f(x) then x = g(y).
We have:
a(n) = 3n - 15
Rewrite the above equation as
a = 3n - 15
Add 15 to both sides of the equation
3n = 15 + a
Divide through by 3, we get
n = 5 + a/3
Express as function then, we get
n(a) = 5 + a/3
Hence, the inverse function is n(a) = 5 + a/3.
To learn more about inverse function
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Which binomial is a factor of the quadratic trinomial x2 − 7x + 12? A. (x + 2) B. (x − 6) C. (x + 3) D. (x − 4)
Answers
Answer:
D
Step-by-step explanation:
To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.
what is the first step in solving for “b”?
Answers
Answer:
c
Step-by-step explanation:
Answer:
c)
Step-by-step explanation:
Megan has a bag containing 5 pink marbles, 3 orange marbles, 6 green marbles, and 2 yellow marbles.
Megan started to develop a probability model. Here is the sample space.
S = {P, P, P, P, P, O, O, O, G, G, G, G, G, G, Y, Y}
Part A
put in order where it would go on the table 2/16, 3/16, 5/16, 6/16
Help Megan complete the model by assigning probabilities to the four listed events. Drag each fraction to the correct probability.
Part B
Suppose Megan drew a marble 80 times. Estimate how many times she should expect to draw an orange marble. Megan would draw an orange marble ____
times.
Answers
Step-by-step explanation:
To find the probability
Total marbles = 5 + 3 + 6 + 2 = 16
P pink = 5/ 16
P orange = 3/16
P green = 6/ 16 = 3/8
P yellow = 2/16 = 1/8
Part B when we divide 80 by 16 = 5
So she drew every marble 5 times
So 3 x 5 = 15
She drew the orange marble 15 times
Find the value of x. Will mark brainliest.
Answers
Answer:
15
Step-by-step explanation:
Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!
Step-by-step explanation:
I think its 5 for x if you do 15/3=5 I think
Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
O A. The graph of g(x) is the graph of f(x) shifted 5 units up.
O B. The graph of g(x) is the graph of f(x) shifted 5 units to the right.
O C. The graph of g(x) is the graph of f(x) shifted 5 units down.
O D. The graph of g(x) is the graph of f(x) shifted 5 units to the left.
Answers
Since y = f(x), and we are adding 5 to this, we can say that g(x) is basically f(x) but has been shifted 5 units up.
Example: f(x) = x^2 and g(x) = f(x)+5 = x^2+5. Compare those two graphs and you should see that every point on f(x) has been moved up 5 units.
The statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the value of function g(x) is given, therefore, the function of g(x) will be 5 units upwards from the function f(x).
An example of this is been attached below.
Therefore, the statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".
Learn more about Function:
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HELP ME PLEASE!!!
I don't understand....
If possible, please explain!
Answers
Answer:
<B = 107
Step-by-step explanation:
This two triangles are congruent by SSS
So angleB = angleD
We can find angle D by the sum of the angles of a triangle
A+C+D = 180
32+41+D = 180
73+D = 180
D =180-73
D =107
C = B = 107
A batter hits a fly ball. a scout in the stands makes the following observations. TIME (SECONDS) .75 1.5 2 2.75 3.25 4.75 HEIGHT (FEET) 77 133 160 187 194 169 What type of function that best models this data. use a graphing calculator to perform the regression for the best fit equation. write the resulting equation below, rounding to the nearest hundredth. determine the initial velocity of the baseball and the height of the ball when hit. round to the nearest hundredth. calculate how many seconds an outfielder has to position himself for the catch if he intends to catch the ball 6 feet above the ground. show your work and round to the nearest hundredth.
Answers
Answer:
y = -15.9x² + 110.48x + 3.02
initial velocity: 110.48 ft/s
initial height: 3.02 ft
time to cath the ball at 6 ft: 6.92
Step-by-step explanation:
In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)
The initial velocity is the second coefficient.
The initial height is the third coefficient.
Replacing y = 6 into the equation and solving with the quadratic formula:
6 = -15.9x² + 110.48x + 3.02
0 = -15.9x² + 110.48x + 3.02 - 6
0 = -15.9x² + 110.48x - 2.98
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]
[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]
[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]
[tex]x_1 = 0.03[/tex]
[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]
[tex]x_2 = 6.92[/tex]
In the context of the problem, only x2 has sense.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
(4n^2 + -5n + -1) (3n^2)
Answers
Answer:
[tex]12n^4-15n^3-3n^2[/tex]
Step-by-step explanation:
The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:
[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]
[tex]12n^4-15n^3-3n^2[/tex]
will give 100 pts again.
Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 40. Her work is shown below. Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 84 + 40 = 2(42 + 20) What statement best describes Sari’s error?
Answers
Answer: She did not use the factors in correct order therefore she is inncorrects
Step-by-step explanation: I got it right on edge
Answer:
Sari did not use the greatest common factor in the equation.
Step-by-step explanation:
As of 2008 the worlds population was about 6.7 billion people. The population of the United States in 2008 was 305 million. In 2008 what percent of the world’s population was the US population?
Answers
Answer:
In 2008 the US population was 4.55% of the world population.
Step-by-step explanation:
In order to calculate the percent of the world population that represents the US population, we can apply a rule of three in such a way that the world population is related to 100% in the same proportion that the US population is related to x%. We then solve for x. This is shown below:
6.7*10^9 -> 100%
305*10^6 -> x%
6.7*10^9 / 305*10 ^6 = 100 / x
6.7*10^3 / 305 = 100 / x
(6.7*10^3)*x = 305*100
x = 30500 / (6.7*10^3)
x = 4,55 %
In 2008 the US population was 4.55% of the world population.
Answer: 6.76 109
Step-by-step explanation:
Put these numbers in order, smallest to largest.
0.59 0.509 0.5 0.9 5.9
Answers
Answer:0.5<0.509<0.59<0.9<5.9
Step-by-step explanation:
Maths
Answer:
0.5,0.509,0.59,0.9,5.9
Step-by-step explanation:
what is 1/3c-7=1
show your works
Answers
Answer:
c=24
Step-by-step explanation:
Step 1: Add 7 to both sides.
1/3c−7+7=1+7
1/3c=8
Step 2: Multiply both sides by 3.
3*(1/3c)=(3)*(8)
c=24
hope i helped
-lvr
Daryl performs an experiment where he rolls a number cube 25 times and records the results. Three of the trials
resorted in a 1 being rolled. What can be said about the experimental and theoretical probability of rolling a one?
A. The experimental probability is greater than the theoretical probability.
B. The theoretical probability is greater than the experimental probability.
C The theoretical probability is equal to the experimental probability.
D. Nothing can be said to relate the two, because the number of trials was too small
Answers
Answer: it’s B
Step-by-step explanation:
I just took the test
