Answer:
<u><em>F(x)= 5*[
+ (a*b)*
+ a*b*x + C.</em></u>
Step-by-step explanation:
<u><em>First step we aplicate distributive property to the function.</em></u>
<u><em>5*(x+a)*(x+b)= 5*[
+x*b+a*x+a*b]</em></u>
<u><em>5*[+x*(b+a)+a*b]= f(x), where a, b are constant and a≠b</em></u>
<u><em>integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant</em></u>
<u><em>∫^5*[+x*(a+b)+a*b]*dx, apply integral´s property</em></u>
<u><em>5*[∫dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals </em></u>
<u><em>5*[ + (a*b)* + a*b*x</em></u>
<u><em>Finally we can write the function F(x)</em></u>
<u><em>F(x)= 5*[ + (a*b)* + a*b*x ]+ C.</em></u>
Let us say that S is the total food sales therefore we can
create the following equation:
0.20 S = 625 + 0.10 S
Solving for S:
0.10 S = 625
S = 6250
<span>Therefore the food sales should amount to $6,250</span>
I think the answer it’s 2/3 I hope it helps
