Step-by-step explanation:
(3x+3)(x+2)=
3x^2+6x+3x+6
=3x^2+9x+6
we get quadratic equation
find discriminant:
D=b^2-4ac=81-72=9
x=(-b±√D)/2a
x1=-6/6=-1
x2=-12/6=-2
one of the x values should be correct.
but why when I try to put values I get zero
The general form of the quadratic equation is :
The discriminant is :
And the general solution is :
![x=\frac{-b\pm\sqrt[]{D}}{2\cdot a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7BD%7D%7D%7B2%5Ccdot%20a%7D)
So, there are 3 situations for D
1. D = 0
So, the roots of a quadratic equation are two similar roots
2. D > 0
so, roots of a quadratic equation are two different roots
3. D < 0
so, roots of a quadratic equation are not real, two comlex roots
Answer:
The preceding chapter explored implications of research on learning for general issues relevant to the design of effective learning environments. We now move to a more detailed exploration of teaching and learning in three disciplines: history, mathematics, and science. We chose these three areas in order to focus on the similarities and differences of disciplines that use different methods of inquiry and analysis. A major goal of our discussion is to explore the knowledge required to teach effectively in a diversity of disciplines.
Step-by-step explanation:
The preceding chapter explored implications of research on learning for general issues relevant to the design of effective learning environments. We now move to a more detailed exploration of teaching and learning in three disciplines: history, mathematics, and science. We chose these three areas in order to focus on the similarities and differences of disciplines that use different methods of inquiry and analysis. A major goal of our discussion is to explore the knowledge required to teach effectively in a diversity of disciplines.
16 2/3
you just need to multiply 4 1/6 by 4
Answer:
The difference between the vehicles is 0,009 gallons per mile.
Step-by-step explanation:
To know the difference between the vehicles in gallons per mile we need to obtain this information for each car:
-Sam´s van
Gallons per mile: 9 gallons/208.8 miles
Gallons per mile: 0.0431
-Hasan´s small car:
Gallons per mile: 8 gallons/234.4 miles
Gallons per mile: 0.0341
The difference between the vehicles is:
0.0431-0.0341= 0,009 gallons per mile
