2 points on the line are (10,5) and (2,-3)
slope between is 1
point slope is. y-5=(x-10) or y = x-5
We want to find word problems that gives rise to the following systems of algebraic equations.
a)
x+y=13
x-y=1.
Answer: The sum of the ages of two students is 13. The difference between their ages is 1. Find the ages of the two students.
b)
3x-30y=15
2x+10y=40
Answer:
The difference between 3 times Dan's age and 30 times Mark's age is 15. If the sum of 2 times Dan's age and 10 times Mark's age is 40. Find the ages of Dan and Mark.
c)
8x+3y=37
8x-3y=50
Answer:
The sum of 8 times an eagle's distance above sea level in feet and a herring's distance below sea level is 37 feet. The difference between 8 times an eagle's distance in feet above sea level and 3 times the herring's distance below sea level is 50. Find the distance of the eagle and the herring relative to the surface of the sea.
d) x-5y=4
3x+5y=32
The difference between a pig's age and 5 times the age of a piglet is 4 years. If the sum of 3 times pigs and 5 times the piglet's age is 32 years, find the ages of the pig and its piglet.
Answer:
1.6 hrs remaining, or 3.12 km/h
Step-by-step explanation:
-3 ≤ 6x - 6 < 39 (seperate into two inequalities)
6x - 9 ≥ -3
6x - 9 < 39 (solve the inequalities)
x ≥ 1
x < 8 (find the intersection)
x ∈ { 1 , 8 }
Answer:
There are 3 zeros, which are:
Step-by-step explanation:
Given the function
To get the zeros of 
, set 
or 
so
as
so
Using the zero factor principle:
so
solving
Therefore, there are 3 zeros, which are:
