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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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
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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.
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Answer:
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Step-by-step explanation:
f(x)=-3x^2 find f(-2)
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Answer:
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Step-by-step explanation:
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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.
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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
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The Guiness Book of World Records holder for Fastest Rapper is a guy
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Answer:
Write a ratio.
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x : 1
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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]
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
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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)
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[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]
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[tex]f(x)=89x+0\\f(x)=89x[/tex]
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?
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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:
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
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(b) Determine the y-intercepts of f (x)
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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)
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
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b = 92
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
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Answer:
4200
hope helpful <3 !!!!!!!!!!!!!
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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
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Write an equation you can solve to answer each problem.
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Step-by-step explanation:
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Answer:
Step 2 you should subtract 5 (aka D)
Step-by-step explanation:
Simple, its 2+ step equations.
Step 1 Look at the problem
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Step 3 answer
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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
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I hope this helps! :)
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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)
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subtract 75 on both sides to get 7x = 105
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Substitute 15 for every x you see so 5(15) - 15 and 2(15)
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2(15) = 30
Hope this works!!! :)
Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8
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What is the value of x in (2/3)x=4/9?
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Answer:
The value of x would be 2/3
Answer:
the answer for x is 2
Step-by-step explanation:
2. If triangle ABC is congruent to triangle DEF by SAS, AB=DE,
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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
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.
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!