Plzz 40pts one day, gale and hector each recorded temperatures outside their homes. function g shows temperatures, in °f, gale recorded x hours after noon. the graph shows temperatures, in °f, hector recorded x hours after noon. select from the drop-down menus to complete the statement. at noon, the temperature outside of (gale; s, hector's) home degrees ,2 , 3 , 4 degrees) warmer than the temperature outside of 's, hector's) home.

 At noon the temperature outside of Hector's home was 4 degree warmer than the temperature outside of gale's home.  

Step-by-step explanation:

Here, x represents the number of hours after noon while g(x) and f(x) represents the temperature of gale's and hector's home respectively in x hours.

Since, at noon, x = 0

And, by the table g(x=0) = -1

That is, the temperature of gale's home is -1° F at noon.

And, by the given graph, f(x=0) = 3

That is, the the temperature of hector's home is 3° F at noon.

And,  f(0)-g(0) = 3-(-1) = 4°F

That is, the difference between  the temperature of hector's home at noon and the temperature of gale's home at noon is 4°F.

At noon the temperature outside of Hector's home was 4 degree warmer than the temperature outside of gale's home.

Step-by-step explanation:

x + 4/7

step-by-step explanation:

use cymath

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .