F(x) as a piecewise function would be:
f(x) = ($3/lb)x, for 0≤x≤10,
= ($1.50/lb)x, for (10,20], and
= ($0.50/lb)x, for (20,40]
To the above must be added $7.50, [0,10] or $12, (10,40]
Answer:
, 
Step-by-step explanation:
Let be
the end of the terminal side of angle
in standard position, that is, an angle measured with respect to +x semiaxis. By Trigonometry, we know that the sine and the cosine of the angle are, respectively:
(1)
(2)
If we know that
and
, then the sine and the cosine of the angle are:




Answer:
15% markup
Step-by-step explanation:
5% markup would be $1. Since 20*5% or 20*.05=1
We can multiply it by 3 to find the percent for $3 markup. Which is 15% or 0.15
Answer:
h ≤ 124 / 9
or
h ≤ 13.78
Step-by-step explanation:
(3/4) (12h - 32) ≤ 100 (multiply both sides by 4)
(3) (12h - 32) ≤ 100 (4)
(3) (12h - 32) ≤ 400 (distribute 3 into the parenthesis)
(12h)(3) - (32)(3) ≤ 400 (expand left side terms)
36h - 96 ≤ 400 (add 96 to both sides)
36h ≤ 400 + 96
36h ≤ 496 (divide both sides by 36)
h ≤ 496 / 36 (sinmplify)
h ≤ 124 / 9
or
h ≤ 13.78
Answer:
45, 48, and 51.
Step-by-step explanation:
The numbers are 3x, 3x+3, and 3x+6. Write the equation: 9x+9=6x+54. Solve: x=15. So the numbers are 45, 48, and 51.
Check: 45+48+51 is 144. 45*2+54=144. 144=144 Correct!