3 years ago

A pattern follows the rule "Starting with two, every consecutive line has a number one more than the previous line."

Mathematics

2 answers:

ZanzabumX [31]3 years ago

8 0

it will be 6 marbles

kow [346]3 years ago

7 0

There will be six marbles on 5th Line

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F(x) = 3x-1 , (f of g)(x) = x^2 , Find g(x)

fomenos

Answer:

$g(x)=\dfrac{x^2+1}{3}$

Step-by-step explanation:

Given functions:

$\begin{cases}f(x)=3x-1\\(f \circ g)(x)=x^2\end{cases}$

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function (f o g)(x) means to substitute function g(x) in place of the x in function f(x).

$\begin{aligned}(f \circ g)(x) & = x^2\\f(g(x)) & = x^2\\\implies 3(g(x))-1 & = x^2\\3(g(x))-1+1 & = x^2+1\\3(g(x))&=x^2+1\\\dfrac{3(g(x))}{3}&=\dfrac{x^2+1}{3}\\\implies g(x)&=\dfrac{x^2+1}{3}\end{aligned}$

Therefore:

$\boxed{g(x)=\dfrac{x^2+1}{3}}$

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7 months ago

Leonard earned $100 from a bonus plus $15 per day (d) at his job this week. wich of the following expressions best represents Le

zvonat [6]

Y= 15x + 100

Y: Leonard's total earnings
X: days worked

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3 years ago

For breakfast, Ron can choose from cereal, pancakes, or scrambled eggs. he will also choose form bacon or sausage. Then he will

stiv31 [10]

24 times the number of things.

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3 years ago

Hannah just put a 36-foot long

VARVARA [1.3K]

Answer:

perimeter=sum of all sides

p=2(L+W)

36=2(L+12)

36-24=2L

12=2L

L=6

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2 years ago

Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. Include the averag

Serhud [2]

Answer:

147

Step-by-step explanation:

Average rate of change is given by the total rise over total run.

$f(x) = 3x^3+2\\f(3)=3*3^3+2=83\\f(5)=3*5^3+2 = 377$

So,

total rise = 377 - 83 = 294

total run = 2

average rate of change = $\dfrac{294}{2} = 147$

8 0

2 years ago