The expression of the inequality word problems for each question is; As expressed below
<h3>How to express inequalities?</h3>
A) x is negative. This can be expressed as;
x < 0
B) y is non-negative. This can be expressed as;
y > 0
C) q is less than or equal to is expressed as; q ≤
D) d is between 2 and 1 is expressed as 1 < d < 2
E) t is not less than 5 is t ≥ 5
F) The negative of z is not greater than 3 is expressed as;
−z ≤ 3
G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6
H) The reciprocal of w is at least 9 is 1/w ≥ 9.
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51.25 per month which is $615 per year
They save 5 per month if they pay full year
(51.25-5)= 46.25 per month is $555
so it costs $555 if they pay all at once.
Step-by-step explanation:
e = 20sin(πt/4 - π/2)
= 20[(sinπt/4)(cosπ/2) - (cosπt/4)(sinπ/2)]
Used sin(x - y) = sinxcosy - cosxsiny.
= 20[0 - cosπt/4]
Since cosπ/2 = 0 and sinπ/2 = 1.
= -20cosπt/4.