Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
Answer:
2x² - 14x + 24
Step-by-step explanation:
Use the FOIL method (First, Outside, Inside, Last).
First, multiply the first term of both parenthesis:
2x * x = 2x²
Next, multiply the outside terms of both parenthesis:
2x * -4 = -8x
Then, multiply the inside terms of both parenthesis:
-6 * x = -6x
Finally, multiply the last terms of both parenthesis:
-6 * -4 = 24
Combine like terms:
2x² - 8x - 6x + 24
2x² (-8x - 6x) + 24
2x² (-14x) + 24
2x² - 14x + 24 is your answer.
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Just subtract the following number from the preceding one.
48- 3= 45
3- 45= -42.
1. 8b+40
2. -36n+16
3. -6y-3
4. 4k+32
5. 3n^2 (squared)
Answer:
volume=0.000064
mass=0.5888kg
Step-by-step explanation:
