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Let width = x
Let length = 2x + 11
Area = 63 ft2
length × width = Area
x(2x + 11) = 63
2x2 + 11x = 63
Subtract 63 on both sides of equation.
2x2 + 11x - 63 = 0
Factor the left side of equation.
(2x - 7)(x + 9) = 0
x = 7/2 and x = -9
Since the dimensions cannot be negative, we accept the positive value of x: x=7/2. Substitute this value of x into the dimensions
width = 3.5 ft
length = 2(3.5) + 11 = 7 + 11 = 18 ft
Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
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The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
= - 7 with a₁ = - 18 ← recursive formula
Answer:
Step-by-step explanation:
The process takes place at a temperature greater than or equal to 690 F but less than or equal to 790F, the inequality would be expressed as follows: