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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Related Questions
Dana is purchasing a new car that costs $24,650. The bank is charging 4% simple interest for 6 years to finance the car. Using I = PRT, where I represents the amount of interest, P equals the amount financed, R represents the interest rate as a decimal, and T represents the number of years the car is financed, how much interest will Dana pay?
Answers
Answer:
5,916
[tex]24650 \times 0.04 \times 6 = 5916[/tex]
The interest that should be paid by Dana at the time when the new car cost should be $24,650. So it is $5,916.
Calculation of the interest:Since Dana is purchasing a new car that costs $24,650. The bank is charging 4% simple interest for 6 years to finance the car.
So here the calculation is
= $24,650 (4%)(6 year)
= $5,916
Hence, The interest that should be paid by Dana at the time when the new car cost should be $24,650. So it is $5,916.
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Study the data set shown. Then answer the questions below.
-Enter a number that could be removed from this data set that would not change the range. ANSWER=
-Enter a number that could be removed from this data set that would change the range. ANSWER=
Answers
For the first one, 70. For the second one, 100.
Answer:
83 and 85?
Step-by-step explanation:
How many servings of
cups are in 33 cups of ice cream?
Answers
Answer:
I am 99% sure its 33 servings
Step-by-step explanation:
because the question says that "how many servings of cups are in 33 cups".
(hopefully im right) and HOPEFULLY THIS HELPS. : )
How do you know when expression are equivalent
Answers
Answer:
If two things are equivalent, they are the same. Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify.
Step-by-step explanation:
Answer: Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(
Step-by-step explanation:
Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function r(s)=3 sqrt s, where s is time in seconds. The area of the spill when s=5 seconds is ___ pi square inches.
Answers
Answer:
[tex]Area=45\pi$ square inches[/tex]
Step-by-step explanation:
The radius, r of the expanding circle of oil is modeled by the function:
[tex]r(s)=3\sqrt{s}[/tex], where s is time in seconds.
When s=5
Radius, [tex]r(5)=3\sqrt{5}$ inches[/tex]Area of a circle[tex]=\pi r^2[/tex]
Therefore, area of the oil spill when s=5 seconds is:
[tex]Area=\pi (3\sqrt{5})^2\\=\pi *3^2*(\sqrt{5})^2\\=\pi *9*5\\$Area=45\pi$ square inches[/tex]
The area of the spill when s=5 seconds is 45pi square inches.
Math question down below
Answers
Answer:
48 ft.
Step-by-step explanation:
72 divided by 18 = 4
4 times 12 is 48 ft.
Answer:
48ft
Step-by-step explanation:
72/18 = 4
12 x 4 = 48
the building is 48ft tall
Find the surface area of a cube is 150 cm2. What is the length an edge of
the cube? (all of the sides are squares)
Answers
Answer:
5
Step-by-step explanation:
The formula is 6x^2
If you set it equal to 150
Answer:
5 x 5 + 5 x 5 + 5 x 5 + 5 x 5 + 5 x 5 + 5 x 5 = 25 + 25 + 25 + 25 + 25 + 25 = 50 + 50 + 50 = 150
5 would be the missing side because it fits the formula
(A x A) + (A x A) + (A x A) + (A x A) + (A x A) + (A x A) = Surface area
Step-by-step explanation:
Both perpendicular lines and parallel lines must
A
never meet.
В
meet at right angles.
C
exist on the same plane.
D
be curved in the same place.
Answers
Answer:
A.) Never meet.
Step-by-step explanation:
It’s A they never meet
Help me, I need a step by step solution ASAP
Answers
Answer:
a)
[tex]x=-1\\x=-\frac{3}{4}[/tex]
b)
[tex]x=\frac{11}{6}[/tex]
Step-by-step explanation:
[tex]Formula: x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]
[tex]a)-4x^2+7x-3=0[/tex]
a= -4
b= 7
c= -3
[tex]x=\frac{-(7)\frac{+}{}\sqrt{(7)^2-4(-4)(-3)} }{2(-4)}[/tex]
[tex]x=\frac{-7\frac{+}{}\sqrt{49-48} }{-8}[/tex]
[tex]x=\frac{-7\frac{+}{}\sqrt{1} }{-8}[/tex]
[tex]x=\frac{7\frac{+}{}1 }{-8}[/tex]
------------------------------
[tex]x=\frac{7+1 }{-8}=\frac{8}{-8}=-1[/tex]
or
[tex]x=\frac{7-1 }{-8}=\frac{6}{-8}=-\frac{3}{4}[/tex]
------------------------------
[tex]b)36x^2-132x+121=0[/tex]
a= 36
b= -132
c= 121
[tex]x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-132)\frac{+}{}\sqrt{(-132)^2-4(36)(121)} }{2(36)}[/tex]
[tex]x=\frac{132\frac{+}{}\sqrt{17424-17424} }{72}[/tex]
[tex]x=\frac{132\frac{+}{}\sqrt{0} }{72}[/tex]
[tex]x=\frac{132\frac{+}{}0 }{72}[/tex]
------------------------------------------------
[tex]x=\frac{132}{72}[/tex]
[tex]x=\frac{132/6}{72/6}=\frac{22}{12}=\frac{11}{6}[/tex]
Maya can run 18 miles in 3 hours, and she can run can bike 18 miles in 2 hours. What is maya’s running speed (in mph)
PPPLLLLLZZZZZ IM RUNNING OUT OF TIME!!!!
Answers
Answer:
6 mph
Step-by-step explanation:
Speed = Distance/Time. Distance is 18, time is 3. So 18/3, or 6.
Hope this helps!
Answer:
6 miles per hour
Step-by-step explanation:
The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits and is replaced with a person earning $8 per hour. The graph of the resulting salaries is shown in plot 2. A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 15, and the box ranges from 8.8 to 10.2. A line divides the box at 9.5. Plot 1 A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 11, and the box ranges from 8.7 to 10. A line divides the box at 9.6. Plot 2 How does the mean and median change from plot 1 to plot 2? The mean and median remain the same. The mean decreases, and the median remains the same. The mean remains the same, and the median decreases. The mean and median decrease.
Answers
Answer:
The mean decreases, and the median remains the same.Step-by-step explanation:
Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.
In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.
Now, the range of the data set decreases from 7 to 3.
On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.
Therefore, the right answer is The mean decreases, and the median remains the same.
Answer:
the awswer is b
Step-by-step explanation:
took the test
Someone please help me. Thank you :)
Answers
1. Area of a rectangle = L x W (length times the width.
2. Width is the 6inches
3. Length is the 7inches
4. Plug 6 and 7 in the equation to get the area
Answer:
42in.
Step-by-step explanation:
To solve this problem you need to multiply the L * W
Width: 7in
Length: 6in
Hope I helped you!
What is the value of y in this triangle?
980
А.
124°
В. 98°
Ос. 56°
OD. 36°
Answers
Answer:
D.36
Step-by-step explanation:
you have to subtract them to get your answer.
Question 9
.....................................................................
Answers
Answer:
your answer is D (6.72)
Step-by-step explanation:
substitute x by 4
y = 2.76(4) - 4.4
y = 11.12 - 4.4
y = 6.72
Therefore the option D (6.72) is the correct answer
- hope this helps, if it does click the thanks button to let me know :) -
- have a nice day, be safe & healthy -
a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line
Answers
Answer:
y-1=-2/3(x+9)
Step-by-step explanation:
y-1=-2/3(x-(-9))
y-1=-2/3(x+9)
To write an equation for this line, you must follow these steps:
1. M= Slope (-2/3)
2. X1= -9
3. Y1= 1
4. First, take the equation y - y1 = m(x - x1)
5. Plug the values into the equation
6. Y - 1 = -2/3(x - (-9))
7. Change the sign
8. Y - 1 = -2/3(x +9)
9. Distribute the -2/3
10. Y - 1 = -2/3x - 6
11. Add 1 to both sides
12. Y = -2/3x - 5
This gives you a final answer of y = -2/3x -5 (note that this equation is in slope intercept form)
Hope this helps!
Is this an expression or an equation ?
Answers
Answer: expression
Step-by-step explanation: An equation is a mathematical sentence that contains an equal sign. Since this problem contains no equal sign at all, it can't be an equation so it's considered an expression.
A comedy show will be held this Friday at the local theater. Tickets are $9 each. The theater has 828 seats. How much money will the theater collect if tickets sell out for all shows? What is the product of 828 and $9? $7,282 $7,290 $7,352 $7,452
Answers
Answer: $ 7452.00
Step-by-step explanation:
Answer:
Step-by-step explanation:
Money collected by the theater = 828 * 9
= $ 7452
A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver
Answers
Answer:
I believe the answer is C. Driver.
Step-by-step explanation:
The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.
The table represents the temperature of a cup of coffee over time.Which model best represents the data set? exponential, because there is a relatively consistent multiplicative rate of change exponential, because there is a relatively consistent additive rate of change linear, because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change
Answers
Answer:
A. exponential, because there is a relatively consistent multiplicative rate of change
step-by-step explanation:
edge
Answer:
This question is multiple choice and the answer would be A
Step-by-step explanation:
I just took it its correct
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Viewer's Age Group Excellent Good Average Poor Marginal Total 16–25 52 42 12 7 113 26–35 33 50 5 9 97 36–45 58 12 28 34 132 46–55 25 17 22 12 76 56+ 12 5 3 8 28 Marginal Total 180 126 70 70 446 Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie. A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor. Out of the total respondents, the percentage of respondents from the 46–55 age group who rated the film excellent is %. Write your answer up to two decimal places.
Answers
Answer:
32.89
Step-by-step explanation:
The percentage of respondents from the 46–55 age group who rated the film excellent is 25/76 * 100 = 32.89%.
i need help plz im tired and behind
Answers
2)X= 4
Explanation: first distribute what in the parenthesis, then combine like turns
Answer:
x = 5, x = 4
Step-by-step explanation:
Oh I love these!!
3x + 8 + 2x = -3(x-16)
First, distribute the -3 across the parentheses. -3(x-16)
3x + 8 + 2x = -3x + 48
Next, let's add 3x and 2x on the left side of the equation there to clean it up a bit and give us less numbers to work with. 3x + 2x
8 + 5x = -3x + 48
Let's take the opportunity to add -3x on both sides so we can get all of the algebraic expressions containing (x) on one side.
8 + 8x = 48
Subtract 8 on both sides.
8x = 40
Divide by 8 to finally isolate x!
x = 5
Second one let's go!
0.5(6x - 4) = 2x - 6x + 26
Similar to the first equation, we'll need to distribute the 0.5 across the parentheses first. 0.5(6x - 4)
3x - 2 = 2x - 6x + 26
To clean the equation up let's subtract 6x from 2x on the right side of the equation there.
3x - 2 = -4x + 26
Add 2 to both sides.
3x = -4x + 28
Isolate the algebraic expressions that hold our x variables captive. (Add -4x to both sides.)
7x = 28
Divide by 7 on both sides to isolate x.
x = 4
find the value of (27)^2/3
Answers
Answer:
9
Step-by-step explanation:
27 = 3³
27^⅔
3³^⅔
3^(3×2/3)
3²
9
help asap please tyyy
Answers
Answer:
I believe its the blue (42 u^2)
Step-by-step explanation:
It would be 42u^2.
Step-by-step explanation:This is because there are 42 squares if you count them all up.
Or you can do (9)*2 + (6)*4 to get it.
Select all correct conversions.
53 km = 5,300 m
23 cm = 2.3 mm
15 m = 1,500 cm
79 m = 0.079 km
117 mm = 0.117 m
(Which ones are correct?)
Answers
The correct conversions are:
15m=1,500cm79m=0.079km117mm=0.117mWhat is unit conversion?It is a multi-step process that involves multiplication or division by numerical factor, selection of the correct numbers of significant digits, and rounding.
Equivalent Measurements:
[tex]1km=1000m\\1cm=10mm\\1m=100cm\\1m=1000mm[/tex]According to the given question:
53km=53×1000m=53000m (1km=1000m)23cm=23×10mm=230mm (1cm=10mm)15m=15×100cm=1500cm (1m=100cm)79m=[tex]\frac{79}{1000} km[/tex][tex]=0.079km[/tex] (1m=[tex]\frac{1}{1000}m[/tex])117mm=[tex]\frac{117}{1000}m[/tex][tex]=0.117m[/tex] (1mm=[tex]\frac{1}{100} m[/tex])Hence, the correct conversions are
15m=1,500cm79m=0.079km117mm=0.117mLearn more about the unit conversion here:
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Please help!!!
Which representations display nonlinear functions? Check all that apply.
On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (2, 1).
On a coordinate plane, a parabola opens up.
A 2-column table with 4 rows. Column 1 is labeled x with entries 20, 21, 22, 23. Column 2 is labeled y with entries negative 1, negative 1.5, negative 2, negative 2.5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 12, negative 11, negative 10, negative 9. Column 2 is labeled y with entries 7, 11, 14, 17.
Answers
Answer: its b and d
Step-by-step explanation: edge 2022
The answer would be options (B) and (D)
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.
On a coordinate plane, a line with a negative slope goes through points (0, 1.5) and (2, 1)
So this is a linear function
On a coordinate plane, a parabola opens up.
Here this is a quadratic function, So this is a non-linear function
Hence, the answer would be options (B) and (D)
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Can someone help with this
Answers
Answer:
the answered is -3 like in the picture
Step-by-step explanation:
answer the question below in the image
Answers
probability to roll a 3: 11/100
What is the probability that out of 75 babies born, at least 37 will be girls?
Assume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent.
O
o
A. 50.0%
59.1%
49.3%
D. 40.9%
o
Answers
Answer:
49.3%
Step-by-step explanation:
37 / 75 = 49.3%
The answer is 49.3%.
Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
How to find that at least 7 will be girls?
Given that 75 babies are born assume that boys and girls are equally probable.
Then the probability that at least 37 will be girls is
37 / 75 = 49.3%.
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What is the surface area of the triangular prism represented by the net below?
Answers
Answer:
608 cm^2
Step-by-step explanation:
Top and bottom rectangles:
2(10*16)
= 2(160)
= 320
Middle rectangle:
(12*16)
= 192
Two triangles:
2((12*8)/2)
= 2(96/2)
= 96
Surface area of the whole prism:
320 + 192 +96
= 608
The surface area of the triangular prism is 608 cm² represented by the net.
What is the volume of a rectangular prism?The volume of the rectangular prism is the product of the base area and the height.
The triangular prism is given in the question, as shown:
As per the given figure, the surface area of the triangular prism will be:
Three rectangles ( top, bottom, and middle) + Two triangles
2(10×16) + (12×16) + 2((12×8)/2)
2(160) + 192 + 2(96/2)
320 + 192 + 96
Apply addition operation, and we get
608
Thus, the surface area of the triangular prism is 608 cm².
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What is the y-Intercept of x+3y>9?
Answers
Answer:
3
Step-by-step explanation:
