Answer:
Not sure exactly which equivalent expression you are looking for but my goal would be to write it without the negative exponent.
Step-by-step explanation:
They have the same exponent and it is multiplication.
There is a law of exponent that says .
So we have equals
.
Let's simplify (4*7)^(-2).
Since 4*7=28, we can say .
Some people really hate that negative exponent. All that - in the exponent means is reciprocal. So .
Answer:
(d) -- see attached
Step-by-step explanation:
A graph that shows exponential decay is one that tends toward a horizontal asymptote as x gets large.
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A basic (parent) exponential decay curve is concave upward and tends toward zero as x gets large. The fractional change in any interval is the same as for any other interval of equal size. The curve attached decreases by a factor of 2 when x increases by 1.
Answer: (-2, 5) and (2, -3)
<u>Step-by-step explanation:</u>
Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:
y - intercept = (0, 1) 2nd point = ( -1, 1).
Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):
vertex = (1, -4) 2nd point (y-intercept) = (0, -3)
<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)
