Average rate of change over interval [a,b]: r=[f(b)-f(a)]/(b-a)
In this case the interval is [0,2], then a=0, b=2
r=[f(2)-f(0)]/(2-0)
r=[f(2)-f(0)]/2
1) First function: h(x)
r=[h(2)-h(0)]/2
x=2→h(2)=(2)^2+2(2)-6
h(2)=4+4-6
h(2)=2
x=0→h(0)=(0)^2+2(0)-6
h(0)=0+0-6
h(0)=-6
r=[h(2)-h(0)]/2
r=[2-(-6)]/2
r=(2+6)/2
r=(8)/2
r=4
2) Second function: f(x)
A function, f, has an
x-intercept at (2,0)→x=2, f(2)=0
and a y-intercept at (0,-10)→x=0, f(0)=-10
r=[f(2)-f(0)]/2
r=[0-(-10)]/2
r=(0+10)/2
r=(10)/2
r=5
3) Third function: g(x)
r=[g(2)-g(0)]/2
From the graph:
g(2)=6
g(0)=2
r=(6-2)/2
r=(4)/2
r=2
4) Fourth function: j(x)
r=[j(2)-j(0)]/2
From the table:
x=2→j(2)=-8
x=0→j(0)=4
r=(-8-4)/2
r=(-12)/2
r=-6
Answer:
Pairs
1) h(x) 4
2) f(x) 5
3) g(x) 2
4) j(x) -6
Answer: Depends on what you come up with . /:
Step-by-step explanation:
3x-11+x+9= if u no the form for this... -x with 3x and -9 -11 should to a division problem so u divide from both sides leaving x = your sum.
A = P(1 + rt)
1565 = 625(1 + (0.047)(t))
2.504 = 1 + 0.047t
1.504 = 0.047t
t = 32
I hope this is correct! (Sorry I haven't done simple interest in a while.)
Answer:
2
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.
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<h3>units conversion</h3>
The conversion factor between minutes and seconds is ...
1 minute = 60 seconds
Multiplying this equation by 3 gives ...
3 minutes = 180 seconds
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<h3>ratio of interest</h3>
Then the desired ratio is ...
(72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180
= (36×2)/(36×5)
= 2/5
The ratio in its simplest form is 2/5.
