I assume the equation described is:
( x + 6 ) / ( x^2 - 64 )
You can compare the degree of the numerator and denominator in a function that takes the form of this type of rational equation.
Here are the three rules
#1 (Correct Answer): When the degree of the numerator is smaller then the denominator the horizontal asymptote is y = 0
#2 If the degree of the numerator and denominator is the same, then you take the leading coefficient of the numerator (n) and denominator (d) to create the answer y = n / d in this equations case it would be 1 / 1 since variables technically have an invisible 1 in front of them since anything multiplied by 1 is its self, 1x = x
#3 When the degree of the numerator is greater then the degree of the denominator then this means that it does not have a horizontal asymptote.
Again the final answer is that the horizontal asymptote is y = 0
Answer:
The simplest equation for a parabola is y = x^2
Answer:
Your answer is B
Step-by-step explanation:
6.14 Checkpoint: Systems of Linear Inequalities
I took the test.
Answer: see below
<u>Step-by-step explanation:</u>
42) 11 < 3y + 2 < 20
<u> -2 </u> <u> -2 </u> <u> -2 </u>
9 < 3y < 18
<u> ÷3 </u> <u>÷3 </u> <u> ÷3 </u>
3 < y < 6
Graph: o----------o
3 6
44) 36 ≥ 1 - 5z > -21
<u> -1 </u> <u> -1 </u> <u> -1 </u>
35 ≥ -5z > -22
<u> ÷ -5 </u> ↓ <u> ÷ -5 </u> ↓ <u>÷ -5 </u>
7 ≤ z < 4.4
Graph: o------------ ·
4.4 7
46) 6b + 3 < 15 or 4b - 2 > 18
<u> -3 </u> <u> -3 </u> <u> +2 </u> <u>+2 </u>
6b < 12 4b > 20
<u> ÷6 </u> <u>÷6 </u> <u> ÷4 </u> <u>÷4 </u>
b < 2 or b > 5
Graph: ←--------o o---------→
2 5
48) 8d < -64 and 5d > 25
÷8 ÷8 ÷5 ÷5
d < -8 and d > 5
there is no number that is both less than - 8 and greater than 5
No Solution
Graph: (empty)
50) 15x > 30 and 18x < -36
<u> ÷15 </u> <u> ÷15 </u> <u>÷18 </u> <u>÷18 </u>
x > 2 and x < -2
there is no number that is both less than - 2 and greater than 2
No Solution
Graph: (empty)
Answer:
10x+10
Step-by-step explanation:
distrubute 4(x+10)-30+6
subctract 4x+40-30+6
combine 10x+10