1) At a store, 40% of all the refrigerators are silver. There are 50 silver
1 answer:
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Answer:
Step-by-step explanation:
Let
Subbing in:
a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:
Group together in groups of 2:
Now factor out what's common within each set of parenthesis:
We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:
Remember that
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.
The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and
You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.
Answer:
The number of tickets must be sold is 2500
Step-by-step explanation:
The charge for each ticket = $ 5
The concessions amount = $ 1400
The amount paid to players = $ 2000
The amount paid to workers = $ 1600
The cost of each bag given to each fan = $ 3 per bag
Let The number of tickets sold = x
Now, number of ticket sold = number of fans = x
So, According to question
( charge per ticket × number of fans - cost of each bag × number of fan - concession amount ) = amount paid to players + amount paid to workers
Or, $5 x - $3 x - $1400 = $2000 + $1600
Or, $2 x = $3600 + $1400
Or, $2 x = $5000
∴ x = = 2500
Hence Answer