Answer:
- (g/d, initial, factor, rate)
- (g, 45, 1.05, 5%)
- (d, 50, 0.70, -30%)
- (g, 90, 1.42, 42%)
- (d, 120, 0.45, -55%)
Step-by-step explanation:
Exponential functions all have the form ...
f(x) = (initial value)(growth factor)^x
where (growth factor) is defined as ...
(growth factor) = (1 + growth rate) ⇒ growth rate = growth factor - 1
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If the growth rate is negative (growth factor is less than 1), then it is decay, rather than growth. Growth rate is often expressed as a percentage. A growth rate of a negative amount may be reported as a decay rate of a positive amount. (Above, we have kept the decay rates negative to reinforce the fact that they are decay. <em>Your grader may expect these values to be positive</em>.)
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So, to fill in the table, compare the given functions to the form above. The results are listed in the answer section above.
If your teacher wants you to factor, then use the difference of squares rule
9x^2 - 4
(3x)^2 - 2^2
(3x-2)(3x+2)
Use the slope-intercept formula
y = mx + b
Answer:
24, 64
Step-by-step explanation:
If I add 1 to a multiple of 8 I get a multiple of 5, what multiples of 8
meet the condition? (Mention at least 2 of them)
3 x 8 + 1 = 25
8 x 8 + 1 = 65
Answer:
14x +11
Step-by-step explanation:
4(2x-1)+3(2x+5) = 8x-4+6x+15
=8x+6x-4+15(collecting the like terms)
=14x +11