Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.
h² + 14h + (14/2)² = -31 + (14/2)²
Simplify the parenthesis and exponent.
h² + 14h + 7² = -31 + 7²
h² + 14h + 49 = -31 + 49
h² + 14h + 49 = 18
Factor the expression of the left.
(h + 7)(h + 7) = 18
Take the square root of both sides.
√(h + 7)(h + 7) = ± √9 • 2
(h + 7) = ± 3√2
h + 7 = ± 3√2
Subtract 7 from both sides.
You solutions are:
h = -7 + 3√2 → -2.7573 → -2.76
h = -7 - 3√2 → -11.2426 → -11.24
10/14 = 5/7
30/36 = 5/6
answer
not proportional
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Solve the trigonometric equation:

Make a substitution:

and the equation becomes

Rewrite conveniently
– t as
+ t – 2t, and then factor the left-hand side by grouping:

Factor out
2t + 1:

Substitute back for
t = cos x:

Therefore,

where
k is an integer.
Solution set:

I hope this helps. =)
Answer:
20 mangos
Step-by-step explanation:
1. Divide $600 by 12. Your answer should be $50. This means that every mango costs $50.
2. You now need to solve the expression: 1000 ÷ 50 which equals 20. This means that with $1000 Jane can buy 20 mangos.
The rate of change is -29/5x^2