Let's see what we can get by dividing 625 by 5, as it ends with a 5:
625/5 = 125
So we have 5 as one of our factors. Let's divide again by 5:
125/5 = 25
Our current prime factors now are 5 and 5, but we aren't finished. Divide again by 5:
25/5 = 5
Now we know that the prime factorization of 625 is 5 * 5 * 5 * 5, which can also be shown as 5⁴.
F(x) > g(x)
2^x + 3 > 50x + 5
for x = 3 , f(3) > g(3)
11 > 155 (false)
for x = 10 , f(10) > g(10)
1027 > 505 (true)
for x = 9 , f(9) > g(9)
515 > 455 (true)
for x = 8 , f(8) > g(8)
259 > 405 (false)
the smallest,positive integer value of x is 9 since the value of 9 is the last number to exceeds g(x)
Answer:
Roughly 2 years
Step-by-step explanation:
3500(1.05)^t=3850
(1.05)^t=1.1
t=1.953
So roughly 2 years
Refer to the graph shown below. It confirms that points A, B and P are
collinear.
Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
= 8.9443
Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
= 4.4721
Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.
Answer: 2:1 ratio.
Okay first set up the equation
x
--- -2 = 5.5
-3
add over the 2
x
--- = 7.5
-3
now you need to multiply the denominator by the answer
(-3)(7.5) = x
-22.5 = x