Given:
The system of inequalities is:
To find:
The graph of the given system of inequalities.
Solution:
We have,
The related equations are:
Table of values for the given equations is:
0 1 -3
3 0 3
Plot (0,1) and (3,0) and connect them by a straight line to get the graph of .
Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of .
The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.
Therefore, the graph of the given system of inequalities is shown below.
Answer:
Rate of change of the diameter is equal to 0.053cm/min
Step-by-step explanation:
A snowball is of the shape of a sphere
Surface area of Sphere (S)= 
Rate of change of surface area
dS/dt = -4
the negative sign indicates the surface area is decreasing.
Radius = d/2 where d represents diameter
using this is the surface area equation
S = 
= 
dS/dt = 2*pi*d*d(d)/dt
4 = 2*pi*d*(d)/dt
d(d)/dt = 2/12*pi= 
cm/min
so the rate of change of the diameter is equal to 0.053cm/min
Answer:
$11
Step-by-step explanation:
first you subtract 16 from 82 to get 66. then you divide 66 by 6( the number of sweatshirts and hoodies) and you get $11
Equations and Inequalities - Multiplication equations - First Glance. To solve a multiplication equation, use the inverse operation of division. Divide both sides by the same non-zero number. Click the equation to see how to solve it.
Answer:
6
Step-by-step explanation:
since 
, and 
,
.
