Answer:
2^3 X 2^5 = 2^8
when multiplying indices with the same base number just add the indices
The current value of the precious metal is $144/oz
-First, you'd want to determine the original value per ounce since that's what the final unit being asked for is.
- Since the original value of the half ounce piece is given, this first step is fairly simple. You just double ninety.
- We now know that the metal was worth $180/oz when the museum first received it.
- We need to determine the current price of the metal now that is has had a twenty percent loss of value.
- My favorite way to factor in 20% is simply to divide by five since it's a lot more simple than finding the ratio of x$/1%
- $180/5=$36
- Thirty-six dollars is the price drop over the course of the museum possessing the precious metal.
- You now take $180-$36=$144
Answer:
The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)
Step-by-step explanation:
By long division, we have;
= x - 3
-(x³ - 3·x² + x)
-3·x² + 10·x + 8
-(-3·x² + 9·x -3)
x + 11
Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².
That is (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.
Answer:
we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
Step-by-step explanation:
Given the function
f(x) = abˣ
Let us substitute all the points one by one
FOR (b, 0)
y = abˣ
putting x = b, y = 0
0 = abᵇ
FOR (a, b)
y = abˣ
putting x = a, y = b
b = abᵃ
FOR (0, 0)
y = abˣ
putting x = 0, y = 0
0 = ab⁰
0 = a ∵b⁰ = 1
FOR (0, a)
y = abˣ
putting x = 0, y = a
a = ab⁰
a = a ∵b⁰ = 1
TRUE
Thus, we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
3(2c+3x to the power of 3)
