1+3+3+4+6+9+9 is 35
7 numbers so divide by 7
35/7 = 5
Mean is 5
Answer:
Step-by-step explanation:
To move the graph 6 units to the right, subtract 6 in the absolute value.
y=|x+5-6|
To move it up, add 2 outside the absolute value.
y=|x+5-6|+2
Now remove the absolute values since x>1.
y=x+5-6+2
y=x+1
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:
Each bag originally had 35 pieces of candy
Step-by-step explanation:
Since the bags are identical, Let them Number of candies in each bag sue had be x. Thus, she had 5x candies. Since she lost 25 pieces, then she now has;
5x - 25 candies left.
We are told that Ted had 4 bags with the same number of candies like Sue had. Thus, he has 4x candies.
He mysteriously found 10 additional pieces. Total Ted now has is;. 4x + 10
Finally, we are told that Sue and Ted now have an equal number of candies.
Thus;
5x - 25 = 4x + 10
Rearranging, we have;
5x - 4x = 25 + 10
x = 35
Thus, each bag originally had 35 pieces of candy
