Answer:
equation: y = 500x + 3,000
Step-by-step explanation:
The slope is 500 because it is gaining 500 gallons of water every hour. The y-intercept is 3,000 because the pool started off with 3,000 gallons in it.
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
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<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
squaring something multiplies it by itself. -4^2 = -4*-4 = 16
Answer:
8
Step-by-step explanation:
4(5) - 6 = 14
14 is not larger than 22, so 5 is not the solution.
4(8) - 6 = 26
26 is larger than 22, so 8 is the solution
