Answer:
4x + 3y = 12
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
6-3x=4-x-3-2x
Combine like terms
6-3x =1 -3x
Add 3x to each side
6 -3x+3x = 1-3x+3x
6 =1
This is not true so there are no solutions
Answer:
6 root 6
Step-by-step explanation:
Answer:
n -8.2 = 2.3(t -1)
Step-by-step explanation:
You are given definitions for the variables t and n, along with two data points:
(t, n) = (1, 8.2) and (5, 17.4)
The slope of the line between these points is ...
m = (y2 -y1)/(x2 -x1)
m = (17.4 -8.2)/(5 -1) = 9.2/4 = 2.3
The equation can be written in point-slope form as ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
n -8.2 = 2.3(t -1) . . . . a linear model describing the data
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<em>Additional comment</em>
If we eliminate the parentheses and add 8.2, we get the point-slope equation ...
n = 2.3t +5.9
If we plug in d = 0 (to indicate no desserts are ordered), then we'll get
t = 1.4*d + 9.1
t = 1.4*0 + 9.1
t = 9.1
indicating that, on average, the server expects to get $9.10 in tips if no desserts are ordered
This is why the answer is choice D)
