Y=2x+5 so order pair would be (1,7) and (2,9)
Answer:
The equation represented by the ordered pair is;
y = 2^(5-x)
Step-by-step explanation:
Here, we want to write the equation represented by the ordered pairs
From what we have in the question, we can see that while the x-values increase in arithmetic progression of 1
The y-values decrease in order of two geometrically
Thus, the equation is;
y = 2^(5-x)
Answer:
927.3 feet per hour
Step-by-step explanation:
first determine how many seconds are in one hour
there are 60 seconds in one minute and 60 minutes in one hour
so there are 60x60, or 3600 seconds in one hour
now you can create a proportion of inches/seconds = inches/seconds
let 'x' = inches per hour
34/11 = x/3600
cross-multiply to get:
11x = 3600x34
11x = 122,400
x = 122,400/11
x = 11,127.3 inches per hour
to determine how many feet per hour you must divide 11,127.3 inches by 12
this equals 927.3 feet per hour
Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
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