Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
Answer:
Convert to find the equivalent rate. 972 cups minute = quarts minute
if there is 4 cups in a quart the answer would be:
972 / 4 = 243
Step-by-step explanation:
<span>The base in the question you provided is the variable x,
hope this helps.
~BlurryFace</span>
The formula for the area of a triangle is 1/2*b*h=a.
1/2*b*14=56
b*14=112
b=8
