Answer:
Step-by-step explanation:
We want to evaluate the limit:
To do so, we can divide everything by <em>x</em>². So:
Now, we can apply direct substitution:
Any constant value over infinity tends towards 0. Therefore:
Hence:
Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3<em>x</em>²<em>, </em>and in the denominator it is <em>x</em>². So:
Simplify:
The limit of a constant is simply the constant.
We acquire the same answer.
Answer:
<em>123 pens in Box A</em>
Step-by-step explanation:
To solve this we will rewrite the word problem as an equation...
5x (A)
x (B)
When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...
5x - 82 (Change in Box A - subtraction)
x + 82 (Change in Box B - addition)
The problem now states that Box A and Box B are equal...
5x - 82 = x + 82
--- subtract x from both sides ---
4x - 82 = 82
--- add 82 to both sides ---
4x = 164
--- divide both sides by 4 ---
x = 41 pens
Now, we replace the x in the expression "5x - 82" with 41...
5(41) - 82 = 205 - 82
205 - 82 = 123
123 pens in Box A
Hope this Helps!
That’s is 35 because it has 3 times 7
The answer is A because zeros of polynomial functions are found by setting each factor equal to zero and solving for x. The zeros of a function will be the opposite sign of the numbers inside each factor.
I believe it would be 18u/2n or maybe 2n:18u or 18u:2n
Hope this helped
