Answer:
![a_n=1.2 \cdot 2.5^{n-1}](https://tex.z-dn.net/?f=a_n%3D1.2%20%5Ccdot%202.5%5E%7Bn-1%7D)
Step-by-step explanation:
The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:
![a_n=1.2 \cdot 2.5^{n-1}](https://tex.z-dn.net/?f=a_n%3D1.2%20%5Ccdot%202.5%5E%7Bn-1%7D)
Hope this helps!
Answer:
its going 300 miles per hour
Step-by-step explanation:
Answer:
DOMAIN: All Real Numbers OR (-∞,∞)
RANGE: y ≥ 2 or [2,∞)
Step-by-step explanation:
The original function f(x) = |x| has a v-shape and the vertex (tip) is at (0,0).
The domain of f(x) = |x| is all real numbers. Shifting it to the right is not going to change the domain.
The range of f(x) = |x| is y ≥ 0 because the "V" opens upward and starts at zero. Moving the function up two units will move the vertex up by 2 so the function now starts at y=2 and goes up, so the range is y ≥ 2.
Answer:
x = -6
Step-by-step explanation:
Solve for x:
5 x - 14 = 8 x + 4
Subtract 8 x from both sides:
(5 x - 8 x) - 14 = (8 x - 8 x) + 4
5 x - 8 x = -3 x:
-3 x - 14 = (8 x - 8 x) + 4
8 x - 8 x = 0:
-3 x - 14 = 4
Add 14 to both sides:
(14 - 14) - 3 x = 14 + 4
14 - 14 = 0:
-3 x = 4 + 14
4 + 14 = 18:
-3 x = 18
Divide both sides of -3 x = 18 by -3:
(-3 x)/(-3) = 18/(-3)
(-3)/(-3) = 1:
x = 18/(-3)
The gcd of 18 and -3 is 3, so 18/(-3) = (3×6)/(3 (-1)) = 3/3×6/(-1) = 6/(-1):
x = 6/(-1)
Multiply numerator and denominator of 6/(-1) by -1:
Answer: x = -6