Answer:
C. Both Sophie and Mike
Step-by-step explanation:
Arithmetic sequences are alike to linear functions where the common difference in arithmetic sequences plays the same role as the slope of a linear function.
A geometric sequence is very much alike to an exponential function in that you can obtain an exponential function by replacing the counting integer n in the geometric sequence with a real variable x.
Answer:
24weeks
Step-by-step explanation:
So if she spends 5$ three times a week she spends 15$ a week
She babysits once a week for 40$
That means that she saves 25$ from babystitting each week
As she already has saved 200$, she only lacks 600$ for the purchase
600$ / (25$/week) = 24 weeks
If she stops buying coffee it will instead only take her 15 weeks to buy a new laptop
Answer:
4x + 3y = -3.
Step-by-step explanation:
First substitute into the point-slope form:
y - y1 = m(x - x1):
y - 3 = (-4/3)(x - -3)
y - 3 = (-4/3)(x + 3)
y - 3 = -4/3 x - 4
y = -4/3 x - 4 + 3
y = -4/3x - 1 Multiply through be 3:
3y = -4x - 3
4x + 3y = -3 (answer).
Answer:
1.) Exponential Growth
2.) Exponential Decay
3.) Exponential Growth
4.) Exponential Decay
Step-by-step explanation:
<u>1.) </u><u><em>f (x) </em></u><u>= 0.5 (7/3)^</u><u><em>x</em></u>
↓
always increasing
<u>2.) </u><u><em>f (x) </em></u><u>= 0.9 (0.5)^</u><u><em>x</em></u>
<em> </em>↓
always decreasing
<u>3.) </u><u><em>f (x) </em></u><u>= 21 (1/6)^</u><u><em>x</em></u>
↓
always increasing
<u>4.) </u><u><em>f (x) </em></u><u>= 320 (1/6)^</u><u><em>x</em></u>
<em> </em> ↓
always decreasing
<u><em>EXPLANATION:</em></u>
It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.