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
So I would first find out when they are equal then do one more than that. 21x=18x+45, 3x=45, x=15 so the answer would be 16 jerseys
Answer:
y-27=8·(x-3)
Step-by-step explanation:
Given sides are 4x10x7. A rectangular prism with have 4 sides and 2 ends...we know area is length x height.. so the first side is 10x7 = 70mm. There are 4 sides so 70 x 4 = 280mm, then the end is 4x7 = 28. There are 2 ends so 28x2= 56mm. Combine 280+56 = 336mm. Hope that helps.
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Answer:
The host can only prepare 7 plates
Step-by-step explanation:
7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)
