Solve the problem.A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $37 per pair of shoes. The shoes will sell for $104 for each pair. How many pairs of shoes will have to be sold for the company to break even on this new line of shoes?
A. 67 pairs
B. 359 pairs
C. 231 pairs
D. 649 pairs
Answer: B
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Find the focus and the directrix of the parabola.y = x2 + 14x + 50
A. Focus: 
; directrix: y = 1
B. Focus: 
; directrix: y = 
C. Focus: 
; directrix: x = 1
D. Focus: (-7, 2); directrix: y = 0
If you have the following function, f ( x ) = -9| x | + 5, compute f (4), f (-2), f (9), f (-7)
A. f (4) = –31, f (-2) = -13, f (9) = –76, f (-7) = -58 B. f (4) = –30, f (-2) = -14, f (9) = –75, f (-7) = -59 C. f (4) = –30, f (-2) = -11, f (9) = –77, f (-7) = -56 D. f (4) = –28, f (-2) = -15, f (9) = –73, f (-7) = -60 E. f (4) = 31, f (-2) = 13, f (9) = 76, f (-7) = 58
A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.An environmental group believes that the health of the residents of Castletown is adversely affected by the oil refinery in their town. It believes that in Castletown, the proportion of children who suffer from asthma is higher than the nationwide proportion of 9.1%.The hypotheses are as follows:Null hypothesis: proportion of Castletown children with asthma = 9.1% Alternative hypothesis: proportion of Castletown children with asthma > 9.1%
A. Rejecting the null hypothesis means there is insufficient evidence that the proportion of Castletown children with asthma is equal to 9.1% Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than 9.1% B. Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than 9.1% Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to 9.1% C. Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is not equal to 9.1% Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to 9.1% D. Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than 9.1% Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than 9.1%
Simplify.(3x + 6) + (6x + 5)
A. 9x2 + 11 B. 9x + 11 C. 20x D. 9x