<span>a. find the number of units of tacos she must sell to minimise her cost.
</span>to find a minimum we need to find the function derivative and make it equal to zero:
dc/dx = 2x - 40 = 0
2x = 40
x = 20
therefore to minimize the cost, she needs to sell 20 units of tacos
<span>b. find the minimum cost.
</span>that can be done by substituting the previous result, 20 tacos, in the original equation:
<span>C(x) = x^2 - 40x + 610
</span>C(20) = (20)^2 - 40(20) + <span>610
</span>= 400 - 800 + 610
= 210
the minimum cost will be 210 dollars
The answer would be B, because since there are four quarts in a gallon, we take 1 and 1/2 and revert that back to quarts. That gives us 6. The graph clearly shows two, being B.
Since one hour = 45 years, one minute should be 1/60th of 45 years because 60 minutes = an hour.
45/60 = 3/4
So one minute would be 3/4 of an hour, or 45 minutes.
Hope this helps!
Answer:
a = -8
Step-by-step explanation:
19 = -3a - 5
Add 5 to both sides.
24 = -3a
Divide both sides by -3.
-8 = a
Switch sides.
a = -8