Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>
Answer:
3 to 4
Step-by-step explanation:
Here, we want to know the ratio of blueberries to strawberries
To know this, we simply will compare the fractions of both
That will be;1/2 to 2/3
Multiply through by 6
3 to 4
Answer:
4/7
Step-by-step explanation:
The first time, the probability is 5/8. Then you remove one marble that is red (if you get a red one), so the probability is 4/7.
Answer:
There would be 190 red marbles and 10 black marbles.
Step-by-step explanation:
You have to 19x10=190+10=200
