F<span> + </span>g)(x<span>) = </span>f(x<span>) + </span>g(x); (f<span> - </span>g)(x<span>) = </span>f(x<span>) - </span>g(x): (f<span> · </span>g)(x<span>) = </span>f(x<span>) · </span>g(x<span>) ..., let </span>f(x) = 5x+2<span> and </span>g(x<span>) = </span><span>x2</span>-1. <span>4. </span>f(4)=5(4)+2<span>=22 and </span>g(4)=42-1=15 ... (fog)(x<span>) = </span>f<span> [ </span>g(x<span>) ] = </span>f<span> [ 4x2 ] = sqrt( </span><span>4.2</span><span> ) = </span>2<span> | </span>x<span> |; (</span>gof)(x<span>) = </span>g<span> [</span>f(x<span>) ] = </span>g [ s
Answer:
he used it as a vehicle to express his political beliefs and take comfort in imagining bad ends for his enemies. However, the poem's main purpose is, to quote Milton, to "justify the ways of G0d to Men."
Step-by-step explanation:
Answer:
31.4 inches
Step-by-step explanation:
If a circle is inscribed in a square then diameter of circle inscribed is same as side as of square.
In the given problem it is given that side of square is 10 inches.
So diameter of circle inscribed is 10 inches
we know radius of circle is half of diameter of circle
Thus, radius of circle inscribed = diameter of circle/2 = 10/2 = 5inches.
Expression to calculate circumference of circle is given by 
where r is the radius of circle.
Thus circumference of circle inscribed is

Thus, circumference of circle inscribed is 31.4 inches
Answer:
25
Step-by-step explanation:
We need to set up a system of equations, then solve for the number of board markers.
Let r represent red pens, let b represent board markers.
She has 41 items, so our first equation is r+b=41.
The total cost is $46.30, so our second equation is .55r+1.5b=46.3.
r+b=41
.55r+1.5b=46.3
Let's use substitution.
r+b=41
r=41-b
.55r+1.5b=46.3
.55(41-b)+1.5b=46.3
22.55-.55b+1.5b=46.3
22.55+.95b=46.3
.95b=23.75
b=25
He bought 25 board markers.