Answer:
option C
Step-by-step explanation:
f(x)=-0.08x(x^2-11x+18)
Factor the parenthesis and find out the x intercepts
(x^2-11x+18)
We find out two factors whose product is 18 and sum is -11
-9 and -2 gives us product 18
-9 -2 gives us sum -11
(x^2-11x+18) =(x-9)(x-2)
f(x)=-0.08x(x^2-11x+18)
f(x)= -0.08x(x-9)(x-2)
set f(x) =0 and solve for x
-0.08x(x-9)(x-2) =0
-0.08x =0, so x=0
x-9 = 0 , so x=9
x-2 =0 , so x=2
x intercepts are (0,0) (2,0) and (9,0)
x intercepts are not repeating
so the graph crosses x -axis at x=0, 2,9
option C is correct
The graph is attached below4
Answer:
d=10
Step-by-step explanation:
first you divide 5d by 5 to cancel it self out and make it only d.
Then divide 10 by 5.
you should then get 2
The answer:
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x = (⅔)y ;
y = 3x/2.
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Given:
x + (⅓)y + x - (2/4)<span>y - x = (3/6)y ;
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</span>
Take the: x + x - x = 1x + 1x - 1x = 2x - 1x = 1x = x ;
and rewrite:
x + (⅓)y - (2/4)y = (3/6)y ;
_______________________________
Note that: (2/4)y = (<span>½)y ;
and: (3/6)y = (</span><span>½)y ; so;
___________________________
Rewrite as:
____________________________
</span>x + (⅓)y - (½)y = (½)y ;
Add "(½)y" to EACH SIDE of the equation;
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x + (⅓)y - (½)y + (½)y = (½)y + (½)y ;
to get: x + (⅓)y = y ;
x = 1y - (⅓)y = (3/3) y - (1/3)y - [ (3-1)/3] y = (⅔)y ;
So: x = (<span>⅔)y ;
In terms of "y" ;
Given: </span>(⅔)y = x ; Multiply each side of the equation by "3" ;
3*[(⅔)y] = 3*x ;
to get: 2y = 3x ;
Now, divide EACH SIDE of the equation by "2" ; to isolate "y" on one side of the equation; and to solve for "y" (in terms of "x"):
2y / 2 = 3x / 2 ;
to get:
y = 3x/2 ;
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<span>Growth rate = (Present - Past)/Past
Plugging in what we know
Growth rate =(5600â’4420)/4420
Thus
Growth rate=.26697
Now we can plug the growth rate into our first formula which gives us
P=5600e^(.26697â‹…2)
Solve for P and we get
P
=
9551.58
however since you can not have .58 of a person we round down to 9551.
So Youngtown will have 9551 citizens in the year 2000</span>
Answer:
0
Step-by-step explanation:
m= y₂-y₁/x₂-x₁
m= 4-4/-1-3
m= 0/-4
m=0
