Answer:
solo me qeda
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
First, let us simplify the expression on the left
8(4+3) - 21 = 8(7) - 21 = 8(7) - 3(7) = 7(8-3)
Divide this by 7 and you'll get 8-3 = 5
Answer:
Vertical asymptote: x=2
Horizontal asymptote: y=5
Step-by-step explanation:
Hi there!
The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
First, we want to perform long division on 5x/x-2. Please check the image attached.
The result is
.
Here are the transformations of a rational function:

a = vertical stretch
b = horizontal stretch
h = horizontal translation
k = vertical translation
Stretches don't change the location of the asymptotes, only the translations do.
According to
, we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.
I hope this helps!
Answer:
length is 14.4ft and the width is 12.4ft
Step-by-step explanation:
Volume of the aquarium = length * width * height
Given
Volume = 300ft^3
Height = 3feet
l = w+4
Substitute
300 = 3w(w+4)
100 = w(w+4)
100 = w^2+4w
w^2+4w-100 = 0
w = 4±√16+400/2
w =4±√416/2
w = 4±20.4/2
w = 24.4/2
w = 12.2feet
Since l = w+4
l = 12.2+4
l = 16.4ft
hence the length is 14.4ft and the width is 12.4ft