<h2>
Question:</h2>
1) It's February and you go to the store to buy some food for your pets. You have a Great
Dane and a Savannah cat. The Dane eats 3 times as much as your cat so his food
cost $60 for the big bag and he eats that in one week. The Savannah cats food cost
$15 a bag and it lasts him one week as well. You are there to buy food for the month
and have no more than $300 total to spend. Can you afford a month's worth of food?
a) If you bought the cat 6 weeks worth of food, how many weeks worth can you
buy your Great Dane?
<h2>
Answer: Yes you can afford </h2><h3>
</h3>
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
4.5 to 6.5 i think not really shure
3x-15=51
3x=36
X= 12
Thus the number is 12
You need to say the dimensions of the trapezoid
