-3(5n-8)=-8(n-3) Please Hurry
1 answer:
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Answer:
There are 16 oddly powerful integers less than 2010
Step-by-step explanation:
∵ b is an odd integer
∵ b > 1
∴ The first value of b is 3
∵ a is an integer
- We can use a = 1, 2, 3, ..........
∵
∵ n < 2010
- Let a = 1, 2, ............... 12 because 12³ is greatest integer < 2010
∵ 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343,
8³ = 512, 9³ = 729, 10³ = 1000, 11³ = 1331, 12³ = 1728
∴ There are 12 oddly powerful integers with b = 3
Now the second value of b is 5
but we took 1 before so we will start with 2
∵ ,
,
- is the greatest integer < 2010
∴ There are 3 oddly powerful integers with b = 5
Now the third value of b is 7
∵
- is the greatest integer < 2010
∴ There is 1 oddly powerful integers with b = 7
Now the fourth value of b is 9
∵
- is the greatest integer < 2010
- But we used 512 before
∴ There is no oddly powerful integers with b = 9
- 9 is the greatest value of b which makes
∵ 12 + 3 + 1 = 16
∴ There are 16 oddly powerful integers less than 2010
Given:
A certain function h(x) contains the point (8,-2).
To find:
The value of .
Solution:
If a function is defined as
Then, its inverse is defined as
It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,
Therefore, the value of is 8.
Answer:
3.333 if the equation is:
Step-by-step explanation:
Looks like you are saying those are base logarithms.
I think you have the equation:
Use product rule, that is, .
Both sides are the same except the insides. If we want the left hand side to be the same as the right hand side, then we need 3a and 10 to be the same.
When are those the same?
Set them equal and find out!
3a=10
Divide boht sides by 3:
a=10/3
Perform the division in your calculator:
10 division sign 3
gives you 3.333333333(repeating).