Answer:
y=2/3x-1 is 3/2
y=-2/3x-1 is x=3/2
y=-3/2x-1 is x= 2/3
Step-by-step explanation:
The complete question in the attached figure
we have that
(x²<span> - 25)/ (x - 5)
we know
</span>(x² - 25)-------------> (Difference of two squares)----------> (x+5)*(x-5)
then
(x² - 25)/ (x - 5)<span>-------> (x+5)*(x-5)/(x-5)------------> (x+5)
the answer is the option B)
(x+5)</span>
Answer:
3 hot dogs and 5 drinks
Step-by-step explanation:
(3x2)+(1x5)
=(6)+(5)
=11
Let x and y be the sides of the rectangular corral. Therefore,
Area, A = x*y = xy
Additionally, let the side bordering the barn be x. Then,
Circumference, C = x+y+y = x+2y = 4000 ft => x = 4000 - 2y
Substituting for x in the area equation,
A = (4000-2y)y = 4000y - 2y^2
For maximum area, dA/dy = 0
Then,
dA/dy = 4000 - 4y = 0 => 4000 = 4y => y = 4000/4 = 1000 ft
And x = 4000 - 2y = 4000 - 2*1000 = 4000 - 2000 = 2000 ft
The dimensions of the corral are: 2000 ft by 1000 ft.
Area, A = xy = 2000*1000 = 2000,000 ft^2