2.5 / 18 = 6.4 / x
cross multiply
(2.5)(x) = (18)(6.4)
2.5x = 115.2
x = 115.2 / 2.5
x = 46.08 inches
Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 24x + 16
Set equal to zero to find the x intercepts
0 = −16x^2 + 24x + 16
Factor out -8
0 = -8(2x^2 -3x-2)
Factor
0 = -8(2x +1) (x-2)
Using the zero product property
2x+1 =0 x-2 =0
x = -1/2 x=2
The x intercepts are -1/2 ,2
Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum
The x value of the maximum is 1/2 way between the zeros
(-1/2+2) /2 = 1.5/2 =.75
To find the y value substitute into the function
f(.75) = -8(2x +1) (x-2)
=-8(2*.75+1) (.75-2)
= -8(2.5)(-1.25)
=25
The vertex is at (.75, 25)
We have the zeros, and the vertex. We know the graph is symmetrical about the vertex
You espect wint the 40% of 60:
40% of 60=(40/100)*60=(40*60)/100=24
Answer: you expect win 24 times.
4 cups of white paint since there was 4 cups of red paint
396 out of 2800 shirts are defected.
396/2800 * 100 = 14.1% of the shirts were defected