Given
To obtain the minimum value of y, we first take the derivative of y
The derivative of y is:
Equating
gives the minimum value we require.
Doing that, we have:
So that
Therefore, the minimum value is x = 3
Im taking stats right now i might be able to help.
Answer:
-3, 7
Step-by-step explanation:
because you take how much from the first coordinate to the second and add it too the second
Answer:
<em>Option C; 3x - y = -27 and x + 2y = 16</em>
Step-by-step explanation:
1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.
2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.
3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ <em>Answer: Option C</em>
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Answer:
3.75 quarts, rounded to 3.8 quarts
Step-by-step explanation:
3 quarts of solution is 10% antifreeze, so 0.3 quarts are already antifreeze, and 2.7 quarts are not.
a(the antifreeze we already have)+x(what we're going to add)= 1.5*2.7
Let me explain. If we have 60% antifreeze, 40% is not. 60/40=1.5
Substitute a for 0.3
0.3+x=4.05 Subtract 0.3 from both sides
x=3.75
