Answer:
A
Step-by-step explanation:
The first answer is correct because we have a decay factor.
The sample is losing mass, so the number that is being multiplied by a power of x must be less than 1.
If the second answer were used, then the sample would be gaining mass.
Answer:
82
Step-by-step explanation:
because 63% of 130 is 81.9
and since the question is asking approximately which means rounding, so you round 81.9 to get 82.
You can graph them on Desmos, then use this attachment to find out the classification.
In the first system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.
In the second system, they're parallel lines with no solution, therefore the answer is inconsistent.
In the third system, they intersect and they have one solution, therefore the answer is consistent, independent.
In the fourth system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1