Answer:
Pairs (2,4), (4,8) and (5,10) makes the equation y=2x true
Step-by-step explanation:
By using the equation y=2x, eval the following points (gathered from the attached picture)
1. (2,4) which leaves us 4=2*2
2. (4,8) which leaves us 8=4*2
3. (5,10) which leaves us 10=5*2
All points from this graph satisfies the equation y=2x
8 is (7+4)/(7+4+5+9) = 11/25 = 0.44
9 is 5/(5+7) = 5/12 = 0.417 so I'm sorry I can't help with that one
Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
Answer:
A ∩ B = {12}
Step-by-step explanation:
What are the possible even outcomes?
Assuming the number cubes are 1-6,
our possible outcomes run from 2-12, but we are looking for even rolls, so A={2,4,6,8,10,12}.
How many of those are divisible by 3? B={12}.
We are looking for what is in common between these, so
A ∩ B= {12}
Answer:
120 pears
Step-by-step explanation:
Let the number of pears produced by Type B be x
Number of pears produced by type A=144
According to question
Type A produce 20% more pears than B
x+ x ×20%= 144
x+x×
= 144
= 144
=144
x= 144×
x=120 pears
Hence, Number of pears produced by B= 120 pears
Hence, the correct answer is 120 pears
