Factor x^2 + x - 6
(x - 2)(x + 3) = 0
Solve for x
Ask yourself; When will (x - 2)(x + 3) equal zero?
When x - 2 = 0 or x + 3 = 0
Then solve for each of the two equations above
<em>x = 2, -3</em>
<u>Answer: C. 2, -3</u>
Answer:
21. y = 75000·0.935^t
22. after 74.6 days
23. y = 27.8112·1.18832^t
24. 18.8% per month
25. 1748
Step-by-step explanation:
22. It is convenient to use the graphing calculator to solve this problem. The number of days is where the exponential curve has the value 500. It is about 74.55 days. (see the first attachment)
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23. y = 27.8112·1.18832^t (see the second attachment)
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24. The rate of change is the difference between the base of the exponential and 1, often expressed as a percentage. The time period is the units of t.
(1.18832 -1) × 100% ≈ 18.8% . . . . per month
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25. Evaluating the function for t=24 gives y ≈ 1748.30425259 ≈ 1748.
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<em>Comment on graphing calculator</em>
A graphing calculator can make very short work of problems like these. It is worthwhile to get to know how to use one well.
Answer:
67 mm
Step-by-step explanation:
use area of a trap formula:
b1+b2 /2*h
b1=base
b2=base
h=height
in our case it was, 8.2+5.2/2*10
67
Answer:
The sample would double in 9 hours
Step-by-step explanation
The number of hours it will take for the sample to double can be found using the 72 rule.
The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:
number of hours =72/8=9 hours
The number of hours it would take the sample to double is 9 hours as computed above.