Answer:
Step-by-step explanation:
4
Take out a 2 to begin with.
2(25x^2 - 36) This is the difference of squares (inside the brackets). Factor.
2*(5x - 6)(5x + 6)
Let x = the amount of grapes that can be bought for 0.40.
Note: By 90 I assume you mean 90 cents. The same for 40.
12/x = 0.90/0.40
0.90x = 12(0.40)
0.90x = 4.80
x = 4.80 ÷ 0.90
x = 5.33333
We can round the decimal to the ones place to get 5 grapes.
<h3>
Answer: Choice H) 2</h3>
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Explanation:
Recall that the pythagorean trig identity is 
If we were to isolate sine, then,

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.
Through similar calculations,
Cosine is also positive in this quadrant.
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So,

Therefore,

is an identity as long as 0 < x < pi/2
Answer: Carolynn is faster.
Step-by-step explanation: Clarke makes 6.75 favors/hour, while Carolynn makes 7 favors/hour. (7 > 6.75)