MATHEMATICS HIGH SCHOOL

F(x)=|1/3x| translation 2 units to the left

Answers

Answer 1
Answer:

Answer:

f(x)=(1)/(3)|(x+2)|

Step-by-step explanation:

We have been given a function f(x)=|(1)/(3)x|. We are asked to translate the function to 2 units to the left.

We know that an absolute function is form y=a|x-h|+k, where, (h,k) is vertex.

Let us recall translation rules.

f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}  

f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}

f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}  

f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}

Absolute value of 1/3 will be 1/3.

f(x)=(1)/(3)|x|

Therefore, our required function would be f(x)=(1)/(3)|x+2|.
Answer 2
Answer: f(x)=\left|(1)/(3)x\right|\xrightarrow{T_{\vec{a}= <-2;\ 0 >}}g(x)=f(x+2)=\left|(1)/(3)(x+2)\right|=\left|(1)/(3)x+(2)/(3)\right|

Look at the picture.

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Marco is driving to the grand canyon. his distance from the grand canyon decreases 150 miles every 3 hrs. After 4 hrs, his distance from the Grand Canyon is 200 miles. Marco's distance from the Grand Canyon in miles, y, is a function of the number of hours he drives, x. Find the initial value.
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A coin is loaded so that the probability of getting heads is 3/4. If the coin is flipped twice, what is the probability of getting heads twice?

Answers

The probability would be 9/16.
HOPE THIS HELPS! ^_^
the probability of the coin getting heads twice is 2/4

a spherical fountain il has a radius of 1.5 feet. find the volume of the fountain to the nearest tenth of a cubic foot

Answers

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.

Substituting the given value of r = 1.5 feet, we get:

V = (4/3)π(1.5)^3

V ≈ 14.1 cubic feet (rounded to the nearest tenth)

Therefore, the volume of the spherical fountain is approximately 14.1 cubic feet.

Kyle rides his bicycle 15 mph for 2 hours how far does he travel

Answers

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▹ Answer

30 miles

▹ Step-by-Step Explanation

Multiply mph by hours:

15 mph * 2 hrs = 30 miles

Hope this helps!

CloutAnswers ❁

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What is the standard deviation of the following data? If necessary, round your answer to two decimal places.10, 12, 15, 18, 11, 13, 14, 16, 19, 20

Answers

total numbers=10
mean(average)=14.8
standard deviation=3.4254
variance_standard deviation)=11.73333
population standard deviation=3.24962
variance(population standard deviation)=10.56

What is the slope of the line?
A. -4
B. -1/4
C. 1/4
D. 4

Answers

Answer:

Step-by-step explanation:

The equation of a line is given by:

y = mx + b

where m is the slope of the line and b is the y-intercept. To find the slope of the line, we need to look at the coefficient of x in the equation. In this case, the coefficient of x is 1, so the slope of the line is:

m = 1

Therefore, the slope of the line is 1.
-1/4 is the slope of the line/the answer

Rita has deposited $1000 in a bank account. At the end of each year, the bank posts interest to her account in the amount of 5% of the balance, but then takes out a $10 annual fee.

Answers

$1,040 is how much you would have remaining at the end if that's what you are looking for.
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