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:
1 True
2 c>−4
3 x< 3/2
Step-by-step explanation:
7a=49
a=49/7
a=7
-6=2x
x=-6/2
x=-3
-32=-4b
B=-32/-4
B=8
u/6=9
u=9*6
u=54
-8=C/-10
c=-8*-10
C=80
54=-9d
D=54/-9
D=-6
-12y=60
y=60/-12
y=-5
r/20=-2
r=-2*20
r=-40
g/10=-9
g=-9*10
g=-90
cost of the camera =$300
her weekly savings=$15
15x=300
x=300/15
x=20
in 20 weeks she will have enough money to buy the camera
speed of a race car= 205mph
distance travelled in three hours = x
r=D/t
d=r*t
speed = distance/time
distance = speed * time
x=205*3
x=615miles
<span> In a </span>regular polygon <span>all </span>sides have the same<span> length, therefore:
x</span>² + 8x - 52 = x² - 2x + 8
x² - x² + 8x + 2x = 8 + 52
10x = 60
x = 60/10
x = 6
Answer:
x = 3, -5
Step-by-step explanation:
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