Answer:
The system is composed of these two inequalities combined
y <= -x+4
y >= (1/3)x
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Explanation:
The solid line has the boundary equation y = -x+4
This line goes through (0,4) and (4,0). Using the slope formula, we find that m = -1. Plugging m = -1 and (x,y) = (0,4) into y = mx+b leads to y = -x+4
The shading is below the solid line so we change the equal sign to a "less than or equal to" sign, which leads us to y <= -x+4
That takes care of the first inequality. We must use "or equal to" as part of the inequality to ensure the boundary is solid
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The second inequality is y > (1/3)x as the boundary line is y = (1/3)x. This line goes through (0,0) and (3,1). The slope is 1/3 and y intercept is 0
The boundary is a dashed line. This means we don't have "or equal to" as part of the inequality
<h3>Initial amount = 1</h3><h3>Rate of growth = 80 %</h3><h3>The value is 18.9 when t = 5</h3>
<em><u>Solution:</u></em>
<em><u>The given exponential function is:</u></em>
<em><u>The exponential function is given as:</u></em>
Where,
y is the future value
a is the initial value
r is the growth rate
t is the number of years
<em><u>Compare both the functions,</u></em>
a = 1
Thus growth rate is:
<em><u></u></em>
<em><u>Evaluate the function when t = 5</u></em>
Substitute t = 5 in given
Thus the value is 18.9 when t = 5
Answer:
baseball 55
soccer 110
football 83
basketball 67
Step-by-step explanation:
