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
<span>y=<span><span>x−5</span><span>−−−−</span>√3
</span></span>
<span><span>x=<span><span>y−5</span><span>−−−−</span>√3
</span></span></span>
Step-by-step explanation:
A and B works because both are 8x+4y
hope it helped
So to do that, find the point of S then transform
in (x,y) form
we see that the point 'S' is 1 unit to the right and 2 units up therefor
the point is (1,2)
so we jsut apply the thingy translation to is
x=1
y=2
x+2=1+2=3
y-1=2-1=1
the new point is (3,1)
Answer:
-6
Step-by-step explanation:
Some nasty order of operations coming up.
Firstly, deal with that squared:
-12 / 3 * (-8 + 16 - 6) + 2
Simplify the bracket:
-12 / 3 * 2 + 2
Simplify -12 / 3:
-4 * 2 + 2
Simplify -4 * 2:
-8 + 2
Simplify:
-6
