8/15 i think but you might want to divide it to check
The area is given by:
A = x * y = 834
The cost equation is given by:
C = 6 * (2x) + 3 * (y)
We express the equation in terms of a variable:
C (x) = 6 * (2x) + 3 * (834 / x)
Rewriting:
C (x) = 12x + 2502 / x
We derive the equation:
C '(x) = 12 - 2502 / x ^ 2
We match zero:
0 = 12 - 2502 / x ^ 2
We clear x:
x = root ((2502) / (12))
x = 14.4 feet
We look for the other dimension:
y = 834 / x
y = 834 / 14.4
y = 57.9 feet
Answer:
The dimensions of the enclosure that can be erected at minimum cost are:
x = 14.4 feet
y = 57.9 feet
Answer:
(In Interval Notation: )
Step-by-step explanation:
Given the following binomial:
You know that if this binomial is in the interval:
It must be:
Therefore, in order to find for what values of "x" the binomial belongs to the given interval, you need to solve the inequality.
Then, you get:
Now, you can write this in Interval notation.
Since it is an Open Interval, you must use parentheses. Then, this is:
Answer:
well for starters just drink some water
To find an equation of a line, you have to know the value of slope first. We can find the value of slope by using the formula below:
m-term represents the slope from y = mx+b.
We are given two coordinate points. Substitute the points in the formula.
Therefore the slope is 2/3.
Next we find the y-intercept. In the form of y = mx+b where m = slope and b = y-intercept. We have got slope, except the y-intercept. We can find the y-intercept by substituting one of gjven points in the equation of y = mx+b.
Since we know the slope - we can rewrite the equation like below:
Then choose one of two points to substitute. I will choose (0,5). Therefore substitute x = 0 and y = 5.
Thus the y-intercept is (0,5). Note that if the question gives you (0,a) point. That is the y-intercept of graph. So b = a if given (0,a).
Rewrite the equation by substituting the b-value.
Hence, the equation of a line that contains those points is y = 2x/3 + 5
Answer
Hope this helps! Let me know if you have any doubts.