What is 18 tonnes decreased by 30%
1 answer:
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Answer:
(4, 0) and (6, 0)
Step-by-step explanation:
The function that we have is:
This is the function of a <u>parabola.</u>
to find the points where the function crosses the x-axis, we need to find the values of x for which g(x) (which is the value of the y-axis) is equal to zero.
so we need for the function to be crossing the x-axis.
Thus our equation becomes:
and we can solve this equation with the quadratic formula or by factoring.
I will sove by factoring:
To factor this type of equations we need to find 2 number that satisfy the following:
- when multiplied result in +24 (the independent number of the equation)
- and when added or substracted result in -10 (the coefficient of the x in the equation)
In this case those 2 number are: -6 and -4 because:
(-6)(-4)=+24
-6 - 4 = -10
Thus we arrange our factored equation as follows:
from through factoring we get:
and because of the <u>zero factor property</u> (if two things when multiplied result in zero one of them or both must be zero), thus our x values are:
and
thus, our points are those with and y coordinate of 0 and an x coordinate of 6 and 4:
(4,0) and (6,0)