Answer:
b.the system of the equations has exactly one solution at(-4.3).
Answer:
A. Function 1
Step-by-step explanation:
The slope of Function 2 can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-8 -(-2))/(3 -0) = -6/3
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The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:
y = mx + b . . . . . . equation with slope m and y-intercept b
The slope of Function 1 is -7/3.
-7/3 is more negative than -6/3, so Function 1 has the more negative slope.
Answer:
<u>-53</u>, f(n) = -6(n-1) + 13
Step-by-step explanation:
given the equation to this linear/arithmetic sequence for the nth term: f(n) = -6(n-1) + 13
f(12) = -6(12-1) + 13
f(12) = -6(11) + 13
f(12) = -66 + 13
f(12) = -53
*substitute and simplify*
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f(n) = f(1) + d(n-1)
given f(1) = 13, f(2) = 7, and f(3) = 1
7-13 = 1-7 = <u>-6</u> = d
= f(1) + d(n-1)
f(1) = <u>13</u> so
the equation must be f(n) = <u>13</u> <u>-</u><u> </u><u>6</u>(n-1) or -6(n-1) + 13
This problem can be done using the Pythagorean theorem(a^2 +b^2=c^2) or by using Trig (Sine, Cosine, Tangent) which do you prefer to be shown?
