Given:
Table of values.
The train travels at a constant speed.
To find:
The speed of train in miles per hour.
Solution:
From the given table consider any two points, i.e., (0.5,22.5) and (1,45).
The train travels at a constant speed. It means, there is a linear relationship between time and distance.
The average rate of change (Slope) of a linear relationship is





So, average rate of change in distance with respect to time is 45.
Therefore, the speed of the train is 45 miles per hour.
Answer:
1) binomial
2) monomial
Step-by-step explanation:
mono-think one
bi-think two
tri-think thee
poly-1 or more
So 1 goes with binomial
and 2 goes with monomial
See if you can figure out 3 and 4
I can check them.
Answer:
x = -7 or x = 1
Step-by-step explanation:
Given expression:
(x + 3)² = -16
Problem;
Solve for x;
Solution:
To solve for x; we use the factorization method;
Take -16 to the left of the equation;
(x + 3)² = -16
(x + 3)² + 16 = 0
(x+ 3)² + 4² = 0
if x² + y² = (x + y)(x - y)
So;
(x + 3 + 4) (x + 3 - 4) = 0
(x + 7)(x - 1) = 0
x + 7 = 0 or x - 1 = 0
x = -7 or x = 1