Pls. see attachment. I created that table for easy monitoring and understanding.
Yellow cells are sums that are even.
Orange cell are sums that are multiples of 3.
Yellow cells w/ orange texts are sums that are both even and multiples of 3.
Answer:
c 2:1
Step-by-step explanation:
8/4=2
4/4=1
8:4 simplified is 2:1
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
#SPJ1
The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
Answer:
9(n + 22) ≤ -15
Step-by-step explanation:
9 times the sum of a number and 22 is at most −15
Let n = number
Times = multiplication
Sum = Addition
9 * n + 22
We must add parenthesis on the end on 22 and before n
We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22
We would have 9(n + 22)
9(n + 22) is at most -15
At most meaning that -15 is the highest number that 9(n + 22) can equal
Because it says at most 9(n + 22) can equal -15 or anything less than -15
So at most can be replaced with ≤
9(n + 22) ≤ -15
Based on the information given, it should be noted that the least number of marbles that can be in the bag will be 10 marbles.
<h2>
Solution to the probability.</h2>
If the bag contains 60 marbles, the number of red marbles will be:
= 1/5 × 60
= 12 marbles.
The number of white marbles will be:
= 3/10 × 60
= 18 marbles.
The number of blue marbles will be:
= 60 - (12 + 18)
= 60 - 30
= 30 marbles.
Furthermore, when the bag has 4 red marbles and 6 white marbles, there'll be 10 blue marbles.
Lastly, to find the probability of choosing a blue marble, we've to multiply 1/2 by the number given.
Learn more about probability on:
brainly.com/question/25870256
