Answer:
10
Step-by-step explanation:
z−2(x+5)=
Use the distributive property to multiply −2 by x+5.
z−2x−10
Answer: A. f(g(x)) =x and g(f(x))=x and f and g are inverses.
Step-by-step explanation:
A function <em>g</em> is the inverse of function <em>f</em> if
<em>f(g(x)) = g(f(x))=x</em>
Given: f(x)= x+4 , g(x) = x-4
f(g(x)) = f(x+4) = (x-4)+4
= x-4+4 = x
i.e. f(g(x)) =x
g(f(x))= g(x-4) = (x-4)+4 =x
i.e. g(f(x))=x
Hence, f(g(x)) =x and g(f(x))=x and f and g are inverses.
Answer:
a) Not parallel to y-axis
b) Not parallel to y-axis
c) Parallel to y-axis
Step-by-step explanation:
The best way to check whether a line passing through two points is parlle to y-axis is by plotting them on graph.
The equation of line: 
a) The line joining the points (4,12) and ( 6,12) is not parallel to y-axis.
It is parallel to x-axis. Another two points that can lie on this line are : (5,12) and (
,12).
b) The line joining the points 
is not parallel to y-axis.
Equation of line: 
Another points that could be lie on this line are (0.6,2) and (0.25,1.475)
c) The line joining the points 
is parallel to y-axis because points have the same x-coordinate.
Another points that could be lie on this line are (0.8,2) and (0.8,2.1)
Answer:
Without math, how would we know how to count seconds minutes, etc.?
Math is extremely important for knowing how to do simple things like cooking, you need to know for how much time to put something in the oven or microwave or stove. Those are just the basics. There is a lot more stuff out there that math is used for.
Answer:
Since the square root of 25 = 5 and the square root of 36 is 6 it is known that the square root of 33 is between 5 and 6.
Step-by-step explanation:
The key to this is to think about perfect squares, specifically the ones closest to 33. These are 25 and 36, which have square roots of 5 and 6 respectively. Because 33 is between these numbers, you know for certain that its square root is between <em>their</em> square roots too.
Let me know if you need a more in-depth explanation!
