Answer:
<u>f(g(x)) = 9x² + 15x + 2</u>
Step-by-step explanation:
- f(x) = x² + 5x + 2
- g(x) = 3x
<u>Solving f(g(x))</u>
- f(g(x))
- f(3x)
- f(3x) = (3x)² + 5(3x) + 2
- f(3x) = 9x² + 15x + 2
- <u>f(g(x)) = 9x² + 15x + 2</u>
50/50 chance of getting a yellow marble.
Explanation:
There are 10 yellow marbles in the bag, and the other half are other colors. This would create a 50/50 ratio.
I am honestly super rusty with probability but oh well...
I found two answers
1. x=-1/3
2. x=3
For this, we use the given info plus a bit of multiplying and subtraction
part 1)
we know that she's 25 y/m
so 5 minutes simply means 25 × 5

now we simply subtract this from 1000 (the original distance)

part 2)
the total time taken is even easier to find
all we have to do is divide 1000 by 25
Answer:
Angle = 135°
Supplement of the Angle = 45°
Step-by-step explanation:
The complement of an angle, say "x", would be 90 minus that angle:
90 - x
The supplement of an angle, say "y", would be 180 minus that angle:
180 - y
Since we have 1 angle, let it be "x", and that angle is 3 TIMES the SUPPLEMENT of that angle, we can write:
x = 3(180 - x)
Now, we solve for the angle x:

So, the angle is 135°
The supplement of the angle is 180 - 135 = 45°