Answer:
A. Yes, (0,0) satisfies both inequalities.
Step-by-step explanation:
The given inequalities are;
and
For (0,0) to be a solution to the given system of inequalities then it must satisfy both inequalities.
We substitute (0,0) into the system of inequalities to obtain;
This implies that; 
; True
and
This implies that; 
: True
Since (0,0) satisfies the two systems, it is a solution.
The correct choice is A.
Answer:
The area of the triangle enclosed by the three points
A(1,1), B(1,4) and C(-3,4) in this question will be given by
|Ax ( By − Cy)+ Bx(Cy−Ay)+ Cx(Ay− By) |/2
=|1(4-4)+1(4-1)+-3(1-4)|/2=10/5= 5 sq. units
We know the y intercept is -6 and we know the slope is positive 4 (rise over run) so the equation is y=4x-6 if we plug in a shaded point (I would choose 0,0 for convenience reasons) 0=-6 since -6 is less than 0, the expression would be y≥4x-6
Answer:
Step-by-step explanation:
The given equation is
We take logarithm of both sides to base 10.
We expand the brackets to get;
Group similar terms;
To the nearest hundredth.
