<h3>Given</h3>
Two positive numbers x and y such that xy = 192
<h3>Find</h3>
The values that minimize x + 3y
<h3>Solution</h3>
y = 192/x . . . . . solve for y
f(x) = x + 3y
f(x) = x + 3(192/x) . . . . . the function we want to minimize
We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.
... f'(x) = 1 - 576/x² = 0
... 576 = x² . . . . . . . . . . . . multiply by x², add 576
... √576 = x = 24 . . . . . . . take the square root
... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y
The first number is 24.
The second number is 8.
In 4 hours they will be 400 miles apart 4 times 55 is 220 and 4 time 45 is 180 since there going in opposer directions add the miles together and it equals 400 so it takes 4 hours
We knownthe equation of a line is y = mx + b. where m is slope and b is y intercept.
the point slope equation of a line is y - y1 = m (x - x1)
plug in x1 and y1 and m
y- (5) = (3)(x - (-1))
y - 5 = 3x + 3
y = 3x + 8
Answer:
A) 12.
Step-by-step explanation:
Plug in 12 for x in the given equation:
x/4 + 9 = x
(12)/4 + 9 = 12
Simplify. Remember to follow PEMDAS. First, divide, then add:
(12/4) + 9 = 12
(3) + 9 = 12
12 = 12 (True).
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HELP PLZZZZ BRAINLIEST! Which stem-and-leaf plot represents the data 10, 70, 37, 65, 88, 86, 70, 10, 15, 15, 15?
Nikitich [7]
Answer:
The correct answer is C.
Step-by-step explanation:
For stem leaf plot, the only thing you do is put the number on the tens place under "stem" and the number on the ones place under "leaf".