X= 4/7 because it would be
4/35x=16/245
which would be 28x=16
simplified it would be 4/7
Answer:
g(-4) = -1
g(-1) = -1
g(1) = 3
Explanation:
If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.
For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.
Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.
As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.
It is a coincidence that g(-1) = -1.
Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.
We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3
Since there are three variables and three constants you add like terms.
3(x+15) = 3x + 40
Answer:
<h2>0.75(3/4) part of the room</h2>
Step-by-step explanation:
Step one:
given data
we can express the given data mathematically as
John can paint 0.5room in 2/3 hours
let the part of the room he can paint in an hour be x
so
if he takes 2/3 hours to paint 0.5 room
then he will take 1 hour to paint x
cross multiply we have
x= 0.5/2/3
x=0.5*3/2
x= 1.5/2
x=0.75 part of the room
75/100= 15/20=3/4 part
Answer:
after what.................. ???
