Answer:
f(x) = 1/2(4 - x)(x - 1)(x - 2)
Step-by-step explanation:
Considering zero's and a coefficient, the function is:
f(x) = a(x - 4)(x - 1)(x - 2)
Considering y-intercept:
f(0) = a(0 - 4)(0 - 1)(0 - 2)
4 = a(-4)(-1)(-2)
4 = -8a
a = -1/2
So the function is:
f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)
5/32 is the answer
Hope this helped!
Answer:
x=2
Step-by-step explanation:
18-2x+10=12x
-2x+18+10=12x
-2x+28=12x
subtract 28 from both sides= -2x=12x-28
subtract 12x from both sides= -14x=-28
divide both sides by -14= x=2
x=2 is your final answer
Let
x--------> <span>the rectangle's length
y-------> </span><span>the rectangle's width
we now that
Area of rectangle=x*y
Area=256 cm</span>²
<span>256=x*y-------> equation 1
y=4x-48------> y=4x-48------> equation 2
substitute equation 2 in equation 1
256=x*[4x-48]-----> 256=4x</span>²-48x
4x²-48x-256=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm
is a square
the answer is</span>
the rectangle's length is 16 cm
Answer:
2√41 ≈ 12.81 units
Step-by-step explanation:
The distance between two points is conveniently found using the distance formula:
d = √((x2 -x2)^2 +(y2 -y1)^2)
d = √((-3-5)^2 +(8-(-2))^2) = √(64 +100) = 2√41 ≈ 12.81 . . . units