Let me express the equation clearly:
lim x→-9 (x²-81)/(x+9)
Initially, we solve this by substituting x=-9 to the equation.
((-9)²-81)/(-9+9) = 0/0
The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.
(2x-0)/(1+0) = 2x = 2(-9) = -18
The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999
((-8.999)²-81)/(-8.999+9) = -18
Answer:
y=1/2x+5
Step-by-step explanation:
Plug it into the formula for a point and a slope.
(y-(y(subscript 1)))=(m)(x-(x(subscript 1)))
Y-8=1/2(x-6)
Then multiply the 1/2 to the x and -6. After you do that, move everything so that it has y by itself on the left. Your ending should be y=1/2x+5.
Answer:
Step-by-step explanation:
The rate of change, slope, m is
m=(y2-y1)/(x2-x1), we have points (4,5) and (21,39) so
m=(39-5)/(21-4)
m=34/17
m=2
So the rate of change is 2
Fifty , 50 20+30=50, not sure if its asking much else
Answer:
14201.63
Step-by-step explanation:
14187.63
+ 14.50
=14201.63
