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Fittoniya [83]
3 years ago
7

Let f(x)=3x+4 and g(x)= 5-x. Find (g o f)(6)

Mathematics
1 answer:
Bond [772]3 years ago
5 0

1. Substitute the function f(x) into x in g(x)

2. Simply your results in 1. now you have (g o f)(x)

3. Now substitute 6 into your results in 2 to get (g o f)(6)

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Please help!! will mark branliest
Mashcka [7]

Answer:

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'

b. After 8 bounces we can apply the previous formula with n = 8 to get

h(8)=(\frac{17}{20})^8\times 72' = 19.62'

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous h(n)increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

1>(\frac{17}{20})^n\times 72 Let's first isolate the fraction by dividing by 72.

(\frac{17}{20})^n  Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

-(0.16)n < - 4.27 \rightarrow n>26.31 Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

7 0
2 years ago
Sally stuffed her backpack full of bird seeds her backpack weighed 7200 g is how many kilograms did her bag weight
miv72 [106K]
The answer 7.2 grams
5 0
3 years ago
Indicate the method you would use to prove the twoA's *. If no method applies, enter "none".
mixas84 [53]
It would be AAS I believe cause angle angle side
8 0
3 years ago
Please help! Will give brainliest to correct answer
saveliy_v [14]

Answer:

Correct option is (C).

Step-by-step explanation:

Because in figure,

°.°point B is fixed at plane.

.°.Center is B.

& °.° Image is enlargement.

.°. scale factor will be greater than 1

Now,

scale factor = A'B'/AB

= 24/6

= 3

So correct option is (C).

#$# HOPE YOU UNDERSTAND #$#

#$¥ THANK YOU ¥$#

❤ ☺ ☺ ☺ ☺ ☺ ☺ ❤

5 0
3 years ago
What is the solution of the equation? -6 = 2/3x<br> a. = -9<br> b. = -6<br> c. = 4<br> d. = -4
erastovalidia [21]
-6 = 2/3 x
x = -6*3 /2
x = -18/2
x = -9

Answer is Option A

Hope this helps!
8 0
4 years ago
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