Answer:

Step-by-step explanation:
From the question we are told that
February Heat
February Gas 
April Heat
April Gas 
Generally equation for heating degree-days X is mathematically given by



Generally the equation for gas bill Y is mathematically represented by

The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is

Total number of possible results of rolling 2 dice = 6 x 6 = 36
Total number of ways they can both show the same face = 6
Probability of showing the same face = 6/36 = <u>1/6</u> = 16 and 2/3 percent.
Answer:95
Step-by-step explanation:2x19=38
5x19=95
Answer:
y = (1/3)x + 4
Step-by-step explanation:
Two points on this line are (0, 4) and (3, 5).
As we move from the first point to the second, x increases by 3 and y increases by 1. Thus, the slope, m, of the line is m = rise / run = 1/3.
Use the slope-intercept equation: y = mx + b.
If we use the data from the point (0, 4), we get:
4 = (1/3)(0) + b, so that b = 4. The desired equation is y = (1/3)x + 4.
9514 1404 393
Answer:
a. (-1/2, 5)
Step-by-step explanation:
The coefficients of x have opposite signs, so the x-terms can be eliminated by adding the two equations.
(2y -12x) +(3y +12x) = (16) +(9)
5y = 25 . . . . . . simplify
y = 5 . . . . . . . . .divide by 5
This matches only answer choice A.
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<em>Check</em>
The other part of answer choice A is x = -1/2. We can test this to make sure it works:
2(5) -12(-1/2) = 16
10 + 6 = 16 . . . . . . true, the selected answer works OK