There are 750 toothpicks in a regular sized box. If a jumbo box is made by doubling all the dimensions of the regular sized box,
2 answers:
To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.
When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.
Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write
Similarly we can write for the jumbo box as,
which is equal to
So this is 8 times the original of . Hence the jumbo box will have 8 times 750 number of toothpicks.
ANSWER: toothpicks
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Answer:
The given functions are not same because the domain of both functions are different.
Step-by-step explanation:
The given functions are
First find the domain of both functions. Radicand can not be negative.
Domain of f(x):
This is possible if both numerator or denominator are either positive or negative.
Case 1: Both numerator or denominator are positive.
So, the function is defined for x≥1.
Case 2: Both numerator or denominator are negative.
So, the function is defined for x≤-1.
From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).
Domain of g(x):
So, the function is defined for x≥1.
So, domain of g(x) is [1,∞).
Therefore, the given functions are not same because the domain of both functions are different.