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mestny [16]
3 years ago
6

A store sells pencil sets that each contain exactly 15 pencils. The store receives a shipment of 634 pencils.What is the greates

t number of pencil sets the store can sell?
Mathematics
2 answers:
DaniilM [7]3 years ago
8 0

Answer: 42

Step-by-step explanation:

stira [4]3 years ago
8 0

Answer:

42 Pencil Sets.

Step-by-step explanation:

Since each pencil set is made with exactly 15 pencils, and the shipment is comprised of 634 pencils, we have to divide 634 (total) by 15 (number of pencils in each set). In return we get 42.26 repeating, but since a set cannot contain only a fraction of pencils as a normal one, the store can only make a maximum of 42 sets (with some left over). Therefore, the greatest number of pencil sets the store can sell is 42.

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What are the coordinates of the hole in the graph of the function f(x) ?
Vinvika [58]
ANSWER

(3, \infty )

EXPLANATION

The given function is

f(x) = \frac{ {x}^{2} - 9}{x - 3}

When we plug in x=3 into this function, we obtain,

f(3) = \frac{0}{0}

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}

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To graph

f(x) = \frac{ {x}^{2} - 9}{x - 3}
we draw the graph of

f(x) = x + 3
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

(3, \infty )

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