Question 1:
For this case, the first thing we must do is define variables.
We have then:
x: number of nickels
y: number of dimes
We write the system of equations that adapts to the problem.
We have then:
0.05x + 0.10y = 6.10
x + y = 67
Solving the system we have:
x = 12
y = 55
Answer:
there are 12 nickels
Question 2:
For this case, the first thing we must do is define variables.
We have then:
x: Allan's score
y: Dave's score
We write the system of equations that adapts to the problem.
We have then:
x + y = 375
x = 2y-60
Solving the system we have:
x = 230
y = 145
Answer:
Dave: 145 Allan: 230
An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. <u>Instead, the numbers in the decimal would go on forever, without repeating. Ex) .7583947262......... It doesn't repeat and goes on forever</u>
<span>-1<0
so use 2x+1
2(-1)+1=-2+1=-1
-
</span><span>F(-1) means "Evaluate F(x) when x=-1"
Since -1 is less than 0, this means that F(x) = 2x+1. This is because F(x) = 2x+1 when x < 0</span>