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>
All good and for number 6 you should draw an acute angle
Answer:
2x club member ticket = 1x non-club member ticket
Answer:
Yes, both shampoo and water will be enough
Given that:
Number of long and short hair member who can wash their hair ; with amount of water less than 5600 litres
To check if bathroom has enough water and shampoo for 8 long haired and 7 short haired members.
L = long-haired ; S = short-haired
70L+ 60S < 5600
Check the constraint for amount of water :
70L+ 60S < 5600
L = 8 ; S = 7
70(8) + 60(7) < 5600
560 + 420 < 5600
980 < 5600
Constraint satisfied
Number of long and short hair member who can wash their hair with shampoo not more than 2.5 litres
0.02L + 0.01S ≤ 2.5
L = 8 ; S = 7
0.02(8) + 0.01(7) ≤ 2.5
0.16 + 0.07 ≤ 2.5
0.23 ≤ 2.5 (constraint satisfied).
You have 6 bags of candy and they contain 24 pieces of candy in each bag. You divide your candy evenly between your 2 friends and yourself. How many pieces for candy does everyone get?
