Excited about the success of celebrity stamps, post office officials were rumored to have put forth a plan to institute two new types of thermometers. on these new scales, degrees°e represents degrees elvis and degrees°m represents degrees madonna. if it is known that 30degrees°eequals=25degrees°m, 310degrees°eequals=125degrees°m, and degrees elvis is linearly related to degrees madonna, write an equation expressing e in terms of m.

E=2.8 m-40

Step-by-step explanation:

We konw that  30°E=25°M and 310°E=125°M

so if we want to write an ecuation that linearly relates E with M, we can use the formula of the line that crosses two points:

Y-y1= (y2-y1)/(x2-x1)*(X-x1)

In thts case:

so

E-E1= (E2-E1)/(M2-M1)* (M-M1)

E-30 = (310-30)/(125-25)*(M-25)

E-30 =280/100 *(M-25)

E-30 =2.8 M- 280*25/100

E-30 =2.8 M-70

E= 2.8 M-70+30

E=2.8 M-40

Good luck!

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

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