We have a three unknown, 4 equation homogeneous system. These always have at least (0,0,0) as a solution. Let's write the equations, one column at a time.
1a + 0b + 0c = 0
-1a + 1b +0c = 0
0a - 1b + c = 0
0a + 0b + -1 c = 0
We could do row reduction but these are easy enough not to bother.
Equation 1 says
a = 0
Equation 4 says
c = 0
Substituting in the two remaining,
-1(0) + 1b + 0c = 0
b = 0
0(0) - 1b + 0 = 0
b = 0
The only 3-tuple satisfying the vector equation is (a,b,c)=(0,0,0)
You can perform the horizontal line test on the original to see if the inverse will be a function. You will not perform the horizontal line test on the inverse.
1. It is important to go through each of the words given in the question to get through to the actual answer. The function will be:
y= (4 * x) - 5
= 4x - 5
2. The function of this statement will be
(h/3) + 2.5 = w
1. Let us assume the price of a pizza = p
From the first part we can write
p = $6.95
On adding the price of each topping "t" we get
p = $6.95 + ($0.95) * t
= <span>$6.95 + $0.95t</span>
I hope it helps you.
10, 20, 30, 40, 50, 60, 70, 80, 90, 100
