Select the correct answer.
if the function 5x + y=1 has the domain (-2, 1, 6), then what is the corresponding range?
a. {-9,6,31}
b. {9, -6, -31)
c. {-11, 4, 29}
d. (11,-4,-29)

answer is D

Step-by-step explanation:

5(-2) + y = 1      5(1) + y = 1   5(6) + y = 1  

-10 + y = 1          5 + y = 1      30 + y = 1

y - 10 = 1            y + 5 = 1       y + 30 = 1

y = 11                 y = -4            y= -29

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

1. perpendicular

2. parallel

3. perpendicular