Ok so if a system has no solutions, that means that no value will make it true
infinite solutions means that all numbers wil make the system true
example of no solution
a simplification that gives you
3=0
that is false so no solution
example of infinite
if after simplify you get
x=x
you can put all numer for x and get right answer
the simplified form of an equation with no solution will be in the form a=b where a is not equal to b, basically it gives you an obviously false statement like 3=4
simplified form on an equation with infinity solutions would end up with variable=variable or x=x or y=y
Answer:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
Step-by-step explanation:
Let x the number of months
Cody's Gym charges a $15 fee to join and $30 per month
y₁= 15 + 30x (1)
Tyler's Gym charges a $30 fee to join and $20 per month
y₂ = 15 + 30x (2)
See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)
The point of intersection between y₁ and y₂ is ( 3/2 , 60)
After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges
So, the inequality will be:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
The next number in the sequence will be 12.
<em><u>Explanation</u></em>
The given sequence is: 8, 15, 14, 9, 1, 6, 3
If we express these numbers in words, then we can see that the words are in alphabetical order, like....
Eight, Fifteen, Fourteen, Nine, One, Six, Three
There are two numbers 10 and 12 in the options which starts with letter 'T' , but alphabetically '<u>Tw</u>elve' will be the next number after '<u>Th</u>ree'
So, the next number in the sequence will be 12.
Step-by-step explanation:
well, we just do the multiplication and simplify by combining terms with the same base :
10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30
