The point P(1,1/8) lies on the curve y=x/(7+x). (a) If Q is the point (x, x/(7+x)), find the slope of the secant line PQ correct to four decimal places for the following values of x: (1) .5 (2) .9 (3) .99 (4) .999 (5) 1.5 (6) 1.1 (7) 1.01 (8) 1.001

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Step-by-step explanation:

https://www.chegg.com/homework-help/questions-and-answers/point-p-1-1-8-lies-curve-y-x-7-x--q-point-x-x-7-x-use-scientific-calculator-find-slope-sec-q6474183

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

7/2

(decimal: 3.5)

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step-by-step explanation: