9514 1404 393
Answer:
6x^2 +x -12
Step-by-step explanation:
Substitute for A and B and collect terms.
2B +3A
= 2(3x^2 -x +3) +3(x -6) . . . . substitute for A and B
= 6x^2 -2x +6 +3x -18 . . . . . eliminate parentheses
= 6x^2 +x -12 . . . . . . . . . . . . collect terms
Answer:
1 < x < 5
Step-by-step explanation:
Inequalities of the type | x | < a , have solution of the form
- a < x < a
Given
2 | x - 3 | < 4 ( divide both sides by 2 )
| x - 3 | < 2 , then
- 2 < x - 3 < 2 ( add 3 to each interval )
1 < x < 5
Answer:
18 years, 4 months and 10 days.
Step-by-step explanation:
Given that the person invests $ 1000 in an account with compound interest each month, with an interest rate of 6%, to determine how long the investment must maintain to reach $ 3,000, the following calculation must be performed:
3,000 = 1,000 (1 + 0.06 / 12) ^ Yx12
3,000 = 1,000 (1 + 0.06 / 12) ^ 18.36x12
3,000 = 3,000
Therefore, the person must keep his investment for a period of 18.36 years. Since 12 x 0.36 is equal to 4.32, the total investment time should be 18 years, 4 months and 10 days.
Circumference=Diameter*pi
56.5=3.14*D
Divide both sides by 3.14
D=17.99
Diameter= 2(radius)
17.99= 2r
Divide both sides by 2
The radius is about 8.995 or 9m
Answer: 39.58 cm
Step-by-step explanation:
The circumference of a circle is 2 times the radius times pi or pi times the diameter. so we know the diameter is 12.6 so just multiply it by pie.
12.6 * pi = 39.584
Now rounded to the nearest hundredth is 39.58.
