The two non negative real numbers with a sum of 64 that have the largest possible product are; 32 and 32.
<h3>How do we solve the nonnegative real numbers?</h3>
Let the two numbers be x and y.
Thus, if their sum is 64, then we have;
x + y = 64
y = 64 - x
Their product will be;
P = xy
Putting (64 - x) for y in the product equation we have;
P = (64 - x)x
P = 64x - x²
Since the product is maximum, let us find the derivative;
P'(x) = 64 - 2x
At P'(x) = 0, we have;
64 - 2x = 0
2x = 64
x = 64/2
x = 32
Thus; y = 64 - 32
y = 32
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Answer:
21
Solution:
90 degrees + 15 degrees = 105 degrees. This angle is complementary to 5x. Therefore 105=5x. Solving for x we get 21
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Answer:
the cost of one hot chocolate is $2.
Step-by-step explanation:
Let x be the hot chocolate cost and y be the newspaper cost.
Given:
A newspaper and three hot chocolates cost $7
So, the equation is
--------(1)
Two newspapers and two hot chocolates cost $6
So, the second equation is.
---------(2)
Find one hot chocolate cost?
Solve equation 1 for y.
Put y value in equation 2
negative sign is cancelled both side.
Therefore, the cost of one hot chocolate is $2.
Answer: A) 0.1
Explanation:
<span>Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs.Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14)<span>This means that the probability of getting a sum of 23 is 2/20 = 1/10</span></span>
