Select the correct answer.
if g(x) = f(1/3x) which statement is true?
OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.
ОВ. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.
oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.
Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g.
Answers
Answer:
D
Step-by-step explanation:
It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.
The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Let us take the function g(x) as f(1/3 x).
This means that g(x) takes the value of f at 1/3 of x's value.
If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.
When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.
This is because every point on the graph of f now has 1/3 of its original x-coordinate.
The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).
The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.
Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
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Related Questions
help me on this please
Answers
Answer:
1: AOB is 180 degrees 2: AOF + FOG = 180 degrees 3: 60 + 90 + 30 + 180 4: x = 15
Step-by-step explanation:
x = 15
Add up 5x - 15 + 90 + 2x = 180 degrees
FOG = 90 degrees (right angle)
Combine like terms to get 7x + 75 = 180
subtract 75 on both sides to get 7x = 105
Divide both sides by 7 to isolate x to get x = 15
Substitute 15 for every x you see so 5(15) - 15 and 2(15)
5(15) - 15 = 60
2(15) = 30
Hope this works!!! :)
A store has 120 customers in 6 hours. what is the unit rate in cumstomers per hour?
Answers
The Guiness Book of World Records holder for Fastest Rapper is a guy
from Seattle named NoClue. He can rap 70 syllables in just 5 seconds. (He
actually did 723 in 51.27 seconds). What is his speed in syllables per
second?
Answers
Answer:
Write a ratio.
70 : 5
x : 1
To solve for x, cross multiply.
70 : 5x
Divide both sides by 5.
14 = x
So, NoClue can rap 14 syllables per second.
:)
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
Consider the function f (x) = 3x^3 + 10x^2 - 13x - 20
(a) Determine the x-intercepts of f (x)
(b) Determine the y-intercepts of f (x)
(c) Identify a point in between each of the x-intercepts of f(x)
(d) Determine the end behavior of f (x)
(e) Use the points and end behavior from parts (a) - (d) to graph f (x)
Label the scale of each axis.
All help is greatly appreciated!
Answers
B) (0, -20)
C) In between (-4, 0) and (-1, 0) is (-3, 0) and in between (-1, 0) and (1.667, 0) is (0, 0)
D) in the right end of the x-axis, x approaches +∞. And in the left end of the x-axis, x approaches −∞.
E) (Is shown in the image)
What is the value of x in (2/3)x=4/9?
Answers
Answer:
The value of x would be 2/3
Answer:
the answer for x is 2
Step-by-step explanation:
35,000 is invested at 5% compound interest.What is the interest at the end of three years
Answers
Answer:
$40,516.86
Step-by-step explanation:
start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.
Khaled is preparing to paint his room. If it would take three workers 8 hours to apply two coats of
paint, how long would it take four workers to apply one coat of paint?
Answers
Answer:
20 minutes
Step-by-step explanation:
hope it helps u
plzz plzz plzz mark as brainliest
Answer: 3 hours
Step-by-step explanation:
To solve this problem, utilize something called the unit rate.
Because it takes three workers(x) 8 hours to apply two coats of paint, simply write: x/3 = 8 ÷ 2.
x/3 = 4
x = 4 * 3
x = 12
Thus, it takes one worker 12 hours, or 720 minutes to apply one coat of paint. Thus, because the number of workers is multiplied by 4, divide the time spent by 4, to get 3 hours, or 180 minutes.
Hope it helps :) and let me know if you want me to elaborate.
N.B. This is an inverse relationship, as when the number of workers increases, the amount of time decreases.
Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8
Answers
Guve 2 example of measurement length
Answers
Answer:
There are inches, feet, miles, centimeters, meters, kilometers
Step-by-step explanation:
The Smiths spend 6% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,880 on entertainment. What was their total budget last year?
Answers
Answer:
Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...
Step-by-step explanation:
Given: ΔАВС, m∠ACB = 90° CD ⊥ AB , m∠ACD = 60° BC = 6 cm, find the length of AD
Answers
im not sure sorryyyyyyyyyyyyyyy
Can someone help me plzzzzz
Answers
60
Compare
a 15% of 17 and 17% of 15
b
1.2% of 48 and 12% of 480
с
147% of 621 and 125% of 549
80% of a and 40% of 2a
f
36% of 2.5b and 1.5% of 80b
Answers
Answer:
a=2.55
b=0.576
c=912.87
f=2.295
Step-by-step explanation:
=15/100*17
=2.55
=17/100*15
=2.55
=1.2/100*48
=0.576
=12/100*480
=57.6
=147/100*621
=912.87
=125/100*549
=686.25
=80/100*2.55
=2.04
=40/100*2a
=40/100*(2*2.55)
=0.4*(5.1)
=2.04
=36/100*2.5(2.55)
=0.36*6.375
=2.295
=1.5/100*80(2.55)
=0.015*(204)
=3.06
A car moving at a constant speed passed a timing device at t = 0. After 6 seconds, the car has traveled 534 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answers
Answer:
d = 89t
Step-by-step explanation:
d = distance --- t = timing device --- x = speed or feet per x
d = tx
linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x
linear equation --> d = 89t
Answer:
[tex]f(x)=89x[/tex]
Step-by-step explanation:
With the given information, you have 2 points.
1. (0, 0)
2. (6, 534)
With 2 points, you can calculate the slope of the linear function.
[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89[/tex]
Finally, you can write a function:
[tex]f(x)=mx+b[/tex]
No need to calculate the y-intercept as thats already given in point (0, 0).
[tex]f(x)=89x+0\\f(x)=89x[/tex]
This is a math question from highschool (LOOK AT PICTURE)
Answers
Answer: The answer is 12q-1/2
Step-by-step explanation:
can someone help me solve this 11
Answers
[tex]\dfrac{\sin \alpha}{\cos \alpha + \sin \alpha} - \dfrac{\cos \alpha}{\cos \alpha - \sin \alpha}\\\\\\=\dfrac{\sin \alpha(\cos \alpha - \sin \alpha) - \cos \alpha(\cos \alpha + \sin \alpha)}{(\cos \alpha + \sin \alpha)(\cos \alpha -\sin \alpha)}\\\\\\=\dfrac{\sin \alpha \cos \alpha - \sin^2 \alpha - \cos^2 \alpha - \cos \alpha \sin \alpha}{\cos^2 \alpha - \sin^2 \alpha}\\\\\\=\dfrac{-(\sin^2 \alpha + \cos^2 \alpha)}{\cos 2 \alpha}\\\\\\=-\dfrac{1}{\cos 2 \alpha}\\[/tex]
[tex]=-\left(\dfrac{1}{\tfrac{1- \tan^2 \alpha}{1 + \tan^2 \alpha}} \right)~~~~~~~~~~~~~~~~~~; \left[\cos 2\theta = \dfrac{1 - \tan^2 \theta}{1+ \tan^2 \theta} \right]\\\\\\\ = -\left(\dfrac{1+ \tan^2 \alpha}{1- \tan^2 \alpha}\right)\\\\\\= \dfrac{1+\tan^2 \alpha}{\tan^2 \alpha -1}[/tex]
A truck rental is $25 plus $.30/mi. Find out how many miles Ken traveled if his bill was $50.20.
Answers
Lets start by finding the equation.
25 is the constant, .3 is the slope, and 50.2 is the final.
This means that our equation is:
50.2 = .3x + 25
50.2 - 25 = .3x
25.2 = .3x
25.2 / .3 = x
84 = x
This means that Ken travelled 84 miles if his bill was $50.2.
I hope this helps! :)
plz help look at the pic below
Answers
Answer:
You can use the exponential rule where
[tex](n^x)^y=n^{xy}[/tex]
Therefore,
[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]
[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]
(a^m)^n=a^mn[tex]\\ \rm\leadsto a^{-6}[/tex]
[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]
6.
Write an equation you can solve to answer each problem.
Solve each equation.
a) Ruby has 27 pages of stamps in her collection.
Zachary has 8 fewer pages than Ruby.
How many pages of stamps does Zachary have?
b) Nemo has 3 times as many DVDs as Ashley.
Ashley has 16 DVDs.
How many DVDs does Nemo have?
c) Adrian walked 19 km less than Sheba.
Sheba walked 35 km.
How far did Adrian walk?
Answers
Answer:
a) 27 - 8= 19 pages of stamps
b) 16 × 3 = 48 DVDs
c) 35km - 19km = 16km
2b - 37 = 152 - 5
Know how to do it but keep getting the wrong answer work this out for me
Answers
2b - 37 = 152 - 5
2b - 37 = 147
2b = 147 + 37
2b = 184
b = 92
Can someone figure this out for me plsss
Answers
Answer:
Step 2 you should subtract 5 (aka D)
Step-by-step explanation:
Simple, its 2+ step equations.
Step 1 Look at the problem
Step 2 Subtract the second normal number by the rest (5- -12 and 19)
Step 3 answer
f(x)=-3x^2 find f(-2)
Answers
Answer:
12
Step-by-step explanation:
f(-2)=3(-2)^2
f(-2)=3(4)
f(-2)=12
What is the value of x?
Answers
Answer:
x = 7
Step-by-step explanation:
The right angle is composed of the 2 given angles, so sum to 90°
4x + 40 + 6x - 20 = 90
10x + 20 = 90 ( subtract 20 from both sides )
10x = 70 ( divide both sides by 10 )
x = 7
pls help it’s timed c:
Answers
Answer:
A
Step-by-step explanation:
z1 = 4 - i
z2 = -3 - 2i
z1 - z2 = 4 - i - (-3 - 2i) = 4 + 3 - i + 2i = 7 + i
Answer: A
A rhombus is a special parallelogram. Which are true about a rhombus that is not true about all parallelograms? Pick up to 3 answers. A. Diagonals create a right angle where they interesect B. All sides are congruent C. Diagonals bisect vertex angles D. Diagonals are congruent E. Opposite angles are congruent
Answers
The statement that is true about a rhombus that is not true about all parallelograms are as follows;
Diagonals create a right angle where they intersect All sides are congruent Diagonals bisect vertex anglesDiagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.
This is not true for parallelograms. The diagonal only bisects each other.
All sides are congruent for a rhombus .
This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.
The diagonal bisect the vertex angles of the rhombus.
This is not true for a parallelogram.
read more: https://brainly.com/question/4165249?referrer=searchResults
round 4,204 to the nearest hundred
Answers
Answer:
4200
hope helpful <3 !!!!!!!!!!!!!
2x+5+2x+3x in One sloution, and no solution.
Answers
- BRAINLIEST answerer
Can someone please help me solve this please
Answers
Step-by-step explanation:
j(x) = 2x + 9
=> 2x + 9 = j(x)
=> 2x = j(x) - 9
=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29
2. If triangle ABC is congruent to triangle DEF by SAS, AB=DE,
Answers
Answer:
I can't Respond since I have no picture to help you or me
Step-by-step explanation:
Without the Picture I can't determine if the triangle ABC is congruent to triangle DEF by SAS, AB=DE
PLEASE HELP!
Your class hopes to collect at least 325 of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.
Part 1: Write an equation that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.
Part 2: How many cans are needed to meet or surpass the goal?
Answers
Answer:
Part 1. 325 - (135 + 89) = c
Part 2. ≤ 101
Step-by-step explanation:
Brainliest Please!