Average rate of change over the interval <span><span>[a,b]</span>
</span> for <span><span>y=<span>f<span>(x)</span></span></span>
</span> is given by <span><span><span><span>f<span>(b)</span></span>−<span>f<span>(a)</span></span></span><span>b−a</span></span>
</span>
Hence, average rate of change of from <span><span>x=−2</span>
</span> to <span><span>x=6</span>
</span> i.e. over the interval <span><span>[−2,6]</span>
</span> for <span><span>y=<span>f<span>(x)</span></span>=<span>12</span><span>x2</span></span>
</span> is given<span><span> rate of change=<span><span><span>f<span>(6)</span></span>−<span>f<span>(−2)</span></span></span><span>6−<span>(−2)</span></span></span></span>
</span>
As <span><span><span>f<span>(−2)</span></span>=<span>12</span><span><span>(−2)</span>2</span>=2</span>
</span> and <span><span><span>f<span>(6)</span></span>=<span>12</span><span><span>(6)</span>2</span>=</span>
</span><span>rate of change=<span><span>18−2</span>8</span>=<span>162</span>=<span>2</span></span>
Answer:
Perimeter: 60.6cm
Area: 212.3cm
Step-by-step explanation:
When calulating the perimeter, you are adding the length of all the sides together. Since the figure is a rectangle, two two pairs of sides will be different lengths. Solving is as follows:
P= 11+11+19.3+19.3 or P=11(2)+19.3(2) =60.6
With area, you need the total amount of mass, so you would multiply two sides. In this case, the two are 11cm and 19.3cm.
A= 11(19.3)cm =212.3
Answer:
$1.98
Step-by-step explanation:
125.89 x 0.0157 = 1.97 rounded to 1.98
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Answer:
Step-by-step explanation:
As long as the two equations represent the same straight line on the coordinate plane (they overlap), there will be infinite many intersections and infinite number of solutions.
