Answer:
x = -3
Step-by-step explanation:
Given expression is,
(4x - 6) - 4x² = -2x(2x - 3)
4x - 6 - 4x² = -4x² + 6x
4x - 6 = 6x
6x - 4x = -6
2x = -6
x = -3
Answer:
74 and 740
Step-by-step explanation:
Answer:
What is the question tho?
Step-by-step explanation:
The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft
<h3>How to maximize area?</h3>
Let the length of the rectangular area be x feet
Let the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 320 square feet
y = 320/x -----(1)
Cost to fence the three sides = $6 per foot
Therefore cost to fence one length and two width of the rectangular area
= 6(x + 2y)
Similarly cost to fence the fourth side = $13 per foot
So, the cost of the remaining length = 13x
Total cost to fence = 6(x + 2y) + 13x
Cost (C) = 6(x + 2y) + 13x
C = 6x + 12y + 13x
C = 19x + 12y
From equation (1),
C = 19x + 12(320/x)
C' = 19 - 3840/x²
At C' = 0, we have;
19 - 3840/x² = 0
19 = 3840/x²
19x² = 3840
x² = 3840/19
x = √(3840/19)
x = 14.22 ft
y = 320/14.22
y = 22.5 ft
Read more about Maximization of Area at; brainly.com/question/13869651
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5x+4y=16 y=3/5x-3
y=mx+b <------ slope-intercept form
5x+4y=16
-5x -5x
============
4y=-5x+16
--------------
4
============
y= -5/4+4
Slope is -5/4
y-intercept is 4
y=3/5x-3
slope is 3/5
y intercept is -3
I can't do the graph but I'm sure you can figure it out!
Hope I helped.
