Given:
The system of equations is
To find:
The graph of the given system of equations and its solution.
Solution:
The table of values for is
x y
-4 7
-2 2
0 -3
Plot these points and connect them by a straight line.
The table of values for is
x y
-4 0
-2 2
0 4
Plot these points and connect them by a straight line.
From the below graph it is clear that the lines intersect each other at point (-2,2).
Therefore, the solution of given system of equation is (-2,2).
For this case we have that by definition, the volume of a cylinder is given by:
Where:
A: It's the radio
h: It's the height
We have according to the data:
Substituting:
Thus, the volume of the paint can is 753.6 cubic inches.
Answer:
Answer: yes, because it is useful to describe changes in the behavior of the thing we are describing.
Step-by-step explanation:
A piecewise function f(x) is a function that is "different" depending on the range of the values of x, this is for example:
y = x -----> if x < 0
y = x^2 ----- if x ≥ 0
This is used to represent changes in the behavior of the thing we are describing.
For example, suppose an object that is moving with constant velocity, the velocity graph will be a constant line.
Now, the object suddenly, at a time t = t0 accelerates to a constant acceleration A, now the graph of the velocity is a linear graph with slope equal to A.
So this situation can be represent this with a piecewise function:
V(t) = c -----> if t < t0
V(t) = c + A*t -----> if t ≥ t0
So the answer is yes, we can.
Answer:
4 x 10^12
Step-by-step explanation:
Just subtracte the power since it is division
8- (-4)=12
4x-5=31
Add 5 to both sides
4x=36
Divide both sides by 4
x=9
Final answer: 9
