Which of the function rules below would result in the following graph? On a coordinate plane, a line goes through (2, 2) and (6, 4).
a.
y = 0.5 x + 1
c.
y = 2 x + 1
b.
y = 0.5 x minus 1
d.
y = two-thirds x + 1

To find out, plug x=2 into each equation and see if the y-value works out to be 2:

a: y = 0.5(2) + 1 = 2  check

b. y = 2(2) + 1 = 5  no

c. y = 0.5(2) - 1 = 0  no

d. y= (2/3) (2) +1 = 7/3 no.

The only one that checks is a, but let's make sure (6,4) also check:

a. y= 0.5(6) + 1 = 4  check.

The answer must be A.

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