(5k-5)(4k-5) foil and distributive
1 answer:
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Answer:
1.98
Step-by-step explanation:
In this problem, we are:
Given: ∠D = 26°, Hypotenuse (DF) = 4.5
To solve: EF
Now through the given, we are to focus on point D to solve for EF.
We need to find the relationship of point D to DF and EF.
The relationship here is sine.
Reason:
Through point D, DF is the hypotenuse and EF is the opposite side.
So let's solve this simply through algebra,
sin =
sin(26°) =
0.44 =
0.44 × 4.5 = EF
1.98 = EF
A) The slope at (1, 8) is 4.
The slope at (2, 9) is -4.
These values are computed numerically by the graphing calculator and shown in the column f'(x) in the graphic.
The derivative is y' = 10x -6x². At x=1, y' = 10-6 = 4; at x=2, y' = 20-24 = -4.
b) In point-slope form, the equations of the tangent lines are shown in the graphic.
The slope at (2, 9) is -4.
These values are computed numerically by the graphing calculator and shown in the column f'(x) in the graphic.
The derivative is y' = 10x -6x². At x=1, y' = 10-6 = 4; at x=2, y' = 20-24 = -4.
b) In point-slope form, the equations of the tangent lines are shown in the graphic.
so... he sold 400 items, that means, whatever those quantities of c,b,p are, they add up to 400, thus
c+b+p = 400
now, the "c" sold for $10
the "b" sold for $8
and the "p" sold for $7
so, the amount of revenue on the "c" is 10 * c, or 10c
the revenue on "b" is 8*b or 8b
and the revenue on "p" is 7*p or 7p
whatever those amounts are, they ended up in $3,272
thus
10c + 8b + 7p = 3,272
now, he sold more lightly buttered, or "p", than just buttered corn or "b"
he actually sold twice as much, so whatever "b" is, "p" is twice that much
or
p = 2b
thus
solve for "b", to see how many buttered microwave popcorn Mike sold
how many lightly buttered? well, p = 2b
how many caramel ones? well c = 400 - 3b