Answer:
1. 1*9^(10-1) = 387,420,489
2.2*4^(10-1) = 524,288
Step-by-step explanation:
The explicit formula for a geometric sequence is a1 * r^n-1
Where a1 is your first term, r is your ratio, and n is the amount of terms you want in the sequence
To solve for the 10th number in the sequence, we simply plug 10 in for n.
Hope this helps
It will change from having a value of 7,000 to having a value of 70
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
