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
Figure is missing, so i have attached it.
Answer:
it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Step-by-step explanation:
The standard form of equation of an ellipse is;
x²/a² + y²/b² = 1
From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft
While the value of b = 13 ft
Thus;
x²/26² + y²/13² = 1
x²/676 + y²/169 = 1
We want to find the height of the archway of the bridge 5 feet from the center.
Thus, we will plug in 5 for x to get;
5²/676 + y²/169 = 1
(25/676) + (y²/169) = 1
Multiply through by 676 to get;
25 + 4y² = 676
4y² = 676 - 25
y² = 651/4
y² = 162.75
y = 12.76 ft
Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Answer:
50.29 cubic inches.
Step-by-step explanation:
Volume = 50.28571428571424
Answer:
y=1/2x+5
Step-by-step explanation:
Plug it into the formula for a point and a slope.
(y-(y(subscript 1)))=(m)(x-(x(subscript 1)))
Y-8=1/2(x-6)
Then multiply the 1/2 to the x and -6. After you do that, move everything so that it has y by itself on the left. Your ending should be y=1/2x+5.
1.69 is 1.3 to the second power
