Assume the following:
Brad has been in the soccer team for b years.
Scot has been in the soccer team for s years.
"The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has"
means: b=5s-2
"in total,the boys have been on the soccer team for 10 years."
means: b+s=10
so we have the equations:
i) b=5s-2
ii) b+s=10
substitute b in ii) with 5s-2, as they are equal, from i
(5s-2)+s=10
5s-2+s=10
6s=12
s=2,
then , from b+s=10, b=8
Answer: Brad has been in the team for 8 years.
F(x)=x(3x+5)
or
f(x)=3x²+5x
Here the domain in general is: -∞<x<∞
But the length of the rectangle cannot be negative, therefore the domain is all real numbers greater than zero.
Option D is correct.
To illustrate the problem, refer to the following diagram, made with the ever-helpful notepad application:
|\ | \ | \h| \ | \ | \ |_____q\ x
Pretending as if that is a wonderfully-drawn triangle, we are given the distance x of the observer from the launch pad. The angle q is also stated, and is located in the diagram as shown. To look for the distance h of the tip of the rocket to the ground, we consider the following trigonometry function:
tan q = h/x
Since we are solving for h, we multiply both sides with x, giving us:
h = x * tan q
Among the choices, the correct answer is C.
1.you could put that FHG is 90 degrees and that it is a right angle.
2.you could put that FEG is half a right angle and it is 45 degree angle
*hope this helps....i try my best to answer this
