3C + 5A = 115
C + A = 33
A = 33 - C
3C + 5(33-C) = 115
3C + 165 - 5C = 115
-2C = -50
C=25
25+A=33
A=8
C=25, A=8
Answer:
0(0,2)
Step-by-step explanation:
0(0,2)
0(0,-6)
0(2,0)
0(-6,0)
Answer:
The dimensions of the wall are 100 ft x 100 ft
Step-by-step explanation:
we know that
The perimeter of a rectangular wall is

where
x is the length
y is the width
we have

so

simplify
----> equation A
The area of a rectangular wall is equal to
----> equation B
substitute equation A in equation B

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
Convert the quadratic equation in vertex form

Factor -1

Complete the square


Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (100,10,000)
The x-coordinate of the vertex represent the length of the wall for a maximum area
so

Find the value of y
equation A

therefore
The dimensions of the wall are 100 ft x 100 ft
D is correct:
because of doing the correct steps:
step1: put the point of your compass on the left endpoint of the segment, A.
Open the compass to be more than half the length of the segment. Then leave a half-circle mark.
step2: do the same thing on the other point B. and find the middle point.


the graph of the parabola is above the x-axis, so the derivative is always positive and therefore the initial function is increasing in its whole domain.

The function is decreasing when its first derivative is negative. The first derivative of this function is negative for

so for

the function is decreasing.

The function is increasing when its first derivative is positive. The first derivative of this function is always negative therefore this function is never increasing.