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kramer
1 year ago
5

a snowball is rolled down a giant hill. the radius of the snowball grows. every second the radius increases by 0.36 inches. four

seconds after it started rolling down hill it’s radius was 3.1 inches. find the linear function
Mathematics
1 answer:
Bad White [126]1 year ago
3 0

Based on the fact that the radius of the snowball increases by 0.36 inches every second, the linear function can be found to be y = 0.36x + 1.66

<h3>How to find the linear function?</h3>

The linear function is the function that shows how to change in the rate of the independent variable would affect the rate of change in the dependent variable.

The linear function takes the form:

y = mx + b

y = dependent variable

m = slope or change in radius of snowball

x = seconds

b = y-intercept

Solving for the y-intercept gives:

3.1 = 0.36(4) + b

b = 3.1 - 1.44

= 1.66

The linear function is therefore:

y = 0.36x + 1.66

Find out more on linear functions at brainly.com/question/28029655

#SPJ1

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  • Combine Like Terms

=6x + −5 + 4 x 2 + 2x + −2

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=4 x 2 +8x + −7

Answer - 4 x 2 + 8x + −7

7 0
3 years ago
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What is the inverse of the function below?<br><br> f(x) = 2^x + 6
Helen [10]

The inverse of this function would be f(x) = \frac{Log(x - 6)}{Log2}.



You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.



f(x) = 2^{x} - 6 ----> Switch f(x) and x



x = 2^{f(x)} - 6 ----> Add 6 to both sides



x + 6 = 2^{f(x)} -----> Take the logarithm of both sides in order to get the f(x) out of the exponent



Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2



\frac{Log(x + 6)}{Log2} = f(x) ----> And switch the order for formatting purposes.



f(x) = \frac{Log(x + 6)}{Log2}



And that would be your new inverse function.

6 0
3 years ago
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An artist mixes yellow an blue paint to make the perfect shade of green. she uses 2 ounces of blue paint for every 7 ounces of y
Julli [10]

Answer:

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Step-by-step explanation:

The ratio of blue to yellow is 2:7

To solve this problem we can make a proportion:

2/7=x/49

the numerator represents the blue paint, the denominator represents the yellow paint

To solve the proportion you have to cross multiply:

2*49=7*x

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She needs to add 14 oz of blue paint

I hope this helps :)

6 0
3 years ago
To wash a window that is 12 feet off the ground, Wayne leans a 13-foot ladder against the
AlladinOne [14]

Answer:

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Step-by-step explanation:

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c = √( a² + b² )

c² = a² + b²

b² = c² - a²

b = √ ( c² - a² )

b = √ ( 13² - 12² )

b = 5 meters

Correct me if I'm wrong. I hope it helps.

3 0
3 years ago
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solong [7]

Answer:

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liters to milliliters need to × 1000

milliliters to liters need to ÷ 1000

4000 ÷ 1000 = 4 liters

4 0
2 years ago
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