Answer:
There are 10 orange marbles
Step-by-step explanation:
There are 25 marbles in the bag
40% are orange
To determine the number of orange marbles, we multiply the total number of marbles by the percent that are orange
25 *40% = number of orange marbles
25*.40
10
There are 10 orange marbles
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
<h3>Inverse of functions</h3>
In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Learn more on inverse of a function here: brainly.com/question/19859934
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Answer:
Yes
Step-by-step explanation:
That number is irrational because it does not repeat and rational number repeats
X=length
x+4=width
It means that length will be equal 10 and width 14 :)
so dimensions of this rectangle is 10x14 :)
Answer:
5X²+16X+8=0
Step-by-step explanation:
5(X+2) (X+2)=4(X+3)
5(X²+2X+2X+4)=4(X+3)
5(X²+4X+4)=4(X+3)
5X²+20X+20=4X+12
5X²+20X-4X+20-12=0
5X²+16X+8=0
