Answer:
2x -8
Step-by-step explanation:
f (x) = 3x - 5
g(x) = x + 3,
(f - g)(x) = 3x - 5 - ( x+3)
Distribute the minus sign
= 3x-5 -x-3
Combine like terms
= 2x -8
4n, 6b, and -8 are the terms
Add digit by digit, from the right, just like any number, except that if it adds to 2, then put a zero and carry one (instead of carrying when it adds to 10 or more).
Example: < means carry, decimal equivalent for checking
1011+1111
1 0 1 1 (8+2+1=11)
+ 1 1 1 1 (8+4+2+1=15)
---<---<----<----<----
1 1 0 1 0 (16+8+2=26)
Proceeding similarly,
a. 10101111+11011011 = 110001010 (394)
b. 10010111+11111111 = 110010110 (406)
c. 01110101+10101100 = 10010001 (289)
Answer:
379.94 mi²
Step-by-step explanation:
The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).
We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.
The equation now becomes
3.14(11²)
11 squared is 121.
3.14(121)
I recommend splitting the 121 into 100, 20, and 1.
(3.14 * 100) + (3.14 * 20) + (3.14 * 1)
Multiply 3.14 by 100, 20, and 1.
314 + 62.8 + 3.14
Add 314 and 62.8.
376.8 + 3.14
Add 376.8 and 3.14
379.94 mi² is the area of a circle with a 22-mile diameter.
7. tails, odd, 4
P(tails) = 1/2
P(odd) = 3/6 = 1/2
P(4) = 1/6
P(tails then odd then 4) = (1/2)×(1/2)×(1/6) = 1/24 ≈ 0.041666
Answer: 1/24, 4.2%
8. tails, 6 or 1, 3
P(6 or 1) = 2/6 = 1/3
P(3) = 1/6
P( tails, 6 or 1, 3) = (1/2)(1/3)(1/6) = 1/36 ≈ 0.027777
Answer: 1/36, 2.8%
9. heads, not 2, even
P(heads) = 1/2
P(not 2) = 5/6
P(even) = 1/2
P(heads, not 2, even) = (1/2)(5/6)(1/2) = 5/24 ≈ 0.208333
Answer: 5/24, 20.8%
