Answer:
7,10,13,16,19,21,24,27
Step-by-step explanation:
Add 3 every time
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Answer:
a- x = 5/3, or x = -7/2
b- 675
c - 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x - 35
a. The total share is the capital of the two partners together = 6·x² + 11·x - 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x - 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x - 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;
When x = 10
6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2
By doing dimensional analysis, we can easily calculate for what is being asked here. We do as follows:
Given:
Energy per time = 2400 BTU/hr
time period = 3 hrs
number of subjects = 7
Measurement of the weights = <span>20 ft × 25 ft × 12 ft
The energy produced for 3 hours would be:
2400 BTU/hr ( 3hr) = 7200 BTU
Volume of each weight = </span><span>20 ft × 25 ft × 12 ft = 6000 ft^3
Energy per volume = 7200 / 6000 = 1.2 BTU/ft^3
However, we have 7 bodybuilders producing this amount therefore,
Total energy produced = 7 (1.2 BTU/ft^3) = 8.4 BTU/ft^3</span>
Step-by-step explanation:
7x + 10 = 4x + 16
3x + 10 = 16 (subtract 4x on both sides)
3x = 6 (subtract 10 on both sides)
x = 2 (divide 3 on both sides)
