Answer:
<em>-3/2 and 1</em>
Step-by-step explanation:
Given the arithmetic sequence (y+2) (y+3) and (2y²+1), the common difference is gotten by taking the difference in their terms. For example if we have 3 terms T1, T2, T3... the common difference d = T2-T1 = T3-T2
From the sequence given;
T1 = y+2, T2 = y+3 and T3 = 2y²+1
d = y+3-(y+2) = 2y²+1- (y+3)
open the parenthesis
y+3-y-2 = 2y²+1- y-3
1 = 2y²+1- y-3
1 = 2y²- y-2
2y²- y-2-1 = 0
2y²- y-3 =0
Factorize the resulting expression
2y²- y-3 =0
2y²- 2y+3y-3 =0
2y(y-1)+3(y-1) = 0
(2y+3)(y-1) = 0
2y+3 = 0 and y-1 = 0
2y = -3 and y =1
y = -3/2 and 1
<em>Hence the possible values of y are -3/2 and 1</em>
It would be 9 flowers because 4 times 9 equals 36 which means that each arrangement would have an even amount.
Answer:
45
Step-by-step explanation:
Evaluate 5 x^2 - 3 (x - 2) + x where x = 3:
5 x^2 - 3 (x - 2) + x = 5×3^2 - 3 (3 - 2) + 3
3^2 = 9:
5×9 - 3 (3 - 2) + 3
3 - 2 = 1:
5×9 - 3 + 3
5×9 = 45:
45 - 3 + 3
45 + 3 = 48:
48 - 3
| 4 | 8
- | | 3
| 4 | 5:
Answer: 45
Answer:
Step-by-step explanation:
Rational numbers, expressed as decimal numbers, are obtained from the operation of division between the integer of the numerator and the integer of the denominator. Then:
Answer:
1 1/8 ga / 13.5 mi = .0833 ga / mi
1 / .0833 ga/mi = 12 mi / ga
or .0833 ga/mi * 13.5 mi = 1.25 ga
