Answer:
x = 125 ft and y = 250/3 ft
Step-by-step explanation:
Let assume that,
x be the length of the northern part of the fence (parallel to the north wall)
y be the length of the western and eastern pieces of the fence
As well as farmer has $4000 to spend hence we can write,
8x + 8y + 4y = 4000
8x + 12y = 4000
Hence we can say that,
from the above equation we can write
We know that area
A=xy.
we can write
equating it 0 we get
Also,
which is less than zero.
we can see that A''(x) is always less than 0 hence using second derivative test we can say that x = 125 is a maximum point.
now, solving for y we get
Hence we can say that dimensions for the plot that would enclose the most area is,
x = 125 ft and y = 250/3 ft
Answer:
30
Step-by-step explanation:
You bring over the five under the six and you times because it divideing
B True because both graphs approaches x=0 but never touches it
E True if you just graph it out you can see that graph of g is going down and the graph of x is going up
A false because neither of the equations have a y intercept they have asymptote of x=0
C false because it is also a reflection across the x axis
D incorrect is because they both have domain {0<x<♾}
Hope this helped!
Answer:
<em>Null Hypothesis : </em> P = 0.73
Alternative Hypothesis : P≠ 0.73
Step-by-step explanation:
<u><em>Explanation</em></u>:-
According to a recent survey, 73% of college students did not use student loans to pay for college
Let p be the proportion of college students who did not use student loans to pay for college
Population proportion P = 73% or 0.73
<u><em>Null Hypothesis :</em></u> P = 0.73
Alternative Hypothesis : P≠ 0.73
Answer:
1. 13 or -13
2. -5 < y < -3
3. 6 or -6
4. 1/8 or -1/8
Step-by-step explanation:
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x|
For the Negative case we'll use -(x)
For the Positive case we'll use (x)
Step 3 :
Solve the Negative Case
-(x) = 13
Multiply
-x = 13
Multiply both sides by (-1)
x = -13
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(x) = 13
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-13
x=13
But for the case of question (2) its a different pattern..
Since this is a "less than" absolute-value inequality, my first step is to clear the absolute value according to the "less than" pattern. Then I'll solve the linear inequality.
| y + 4 | < 1
–1 < y + 4 < 1
This is the pattern for "less than". Continuing, I'll subtract 3 from all three "sides" of the inequality:
–1 – 4 < y + 4 - 4 < 1 – 4
–5 < y < -3
The solution to the original absolute-value inequality, | y + 4 | < 1 , is the interval: