Answer: A
<u>Step-by-step explanation:</u>
The vertical asymptote is the restriction on the x-value. Since the denominator cannot be equal to zero, then x + 1 ≠ 0 → x ≠ -1. So, the vertical asymptote is: x = -1
The horizontal asymptote is the restriction on the y-value. Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. However, there is a vertical shift of 2 units up so the horizontal asymptote is: y = 2
The only graph that displays these asymptotes is the first graph, <em>which I call graph A.</em>
Answer:
$63.36
Step-by-step explanation:
First we need to determine how many pencils are needed
8 pencils times 96 students
8*96 =768 pencils
A dozen is 12 pencils
Divide the number of pencils needed by 12 to determine how many dozen pencils are needed
768/12 =64
We need 64 dozen pencils
They cost .99 per dozen
64*.99 =63.36
It will cost $63.36 for the pencils
This is a right triangle equation
so a^2 + b^2 = c^2
c^2 is the hypotenuse and the 15 feet
a^2 + 9^2 = 15^2
a^2 + 81 = 225
a^2 = 144
the square root of 144 is 12
the tree is 12 feet tall
A² + 4a + 3
(a+3)(a+1) This is the length and the width of the rectangle.
Perimeter = length + length + width + width
P = (a+3) + (a+3) + (a+1) + (a+1)
P = a + a + a + a + 3 + 3 + 1 + 1
P = 4a + 6 + 2
P = 4a + 8
B) 4a + 8