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:
B. The vectors v and w are orthogonal because their dot product is <u> 0 </u>
Step-by-step explanation:
Given that :
v= - i - j
w= - i + j
Therefore;
vw = ( - i - j ) ( - i + j )
Taking each set of integer of the vector into consideration:
vw = ( -1 × - 1) ( -1 × 1)
vw = 1 - 1
vw = 0
Hence, we can conclude that :
The vectors v and w are orthogonal because their dot product is <u> 0 </u>
Answer:
y is also doubled.
Step-by-step explanation:
Direct proportionality between 
and 
means that
or
,
which indicates a linear relationship between and because they are related by a constant.
Therefore, if x is doubled, then the new value of is 
The new value of is 2 times the previous; therefore, is doubled as is doubled.
100 centigrams in a gram
43.9 * 100 = 4390
Well, easy . all u need 2 do is add one pitcher (6/6) with the remains of the other pitcher (2/6) = 8/6 which turns into 1 and 2/6 which is 1 and 1/3
