There are 10 letters in the set {a, b, c, d, e, f, g, h, i, j} which is the pool of letters to choose from when making these three letter codes.
We have 10 choices for slot 1
Then 9 choices for slot 2. This is because we can't reuse the choice for slot 1
Then 8 choices for slot 3
Overall, there are 10*9*8 = 90*8 = 720 different permutations
Answer: 720
Note: you can use the nPr permutation formula with n = 10 and r = 3 to get the same answer
The correct answer is D.D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4
You can tell this by the lead term alone. When you mutliply the term outside to the lead term, D is the only one that has that term.
2a^2b^3*4a^2 = 8a^4b^3
D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4
Answer:
Each t-shirt cost 13 dollars.
Step-by-step explanation:
Since the jacket was 20 bucks, we can set that aside:
85-20=65
Now that we've set that aside, there are five t-shirts. If they all cost the same, that means we can divide!
65/5=13
How to check?
Use inverse operations: 13*5=65
Re-add the 20 bucks from the jacket, and the bill is complete again! Use inverse operations: 13*5=65
Each shirt costs $13.
Answer:
y = x+15
Step-by-step explanation:
x-values increase by 1, as do y-values. The ratio of increases is Δy/Δx = 1/1 = 1. This is the slope (m) that is needed in the function rule.
The y-value is 15 for an x-value of 0, so we can use 15 as the y-intercept (b) in the function rule.
In slope-intercept form, the function rule is ...
y = mx +b
y = x +15