Answer:
The solution is (4, 0)
Step-by-step explanation:
Using Linear combination method to solve:
Since "e" have the same coefficient in both equation with opposite operator; we will add.
Divide both side by coefficient of d which is 3
Since d = 4; put 'd' into any of the equation to get 'e'
Therefore, the solution is (4, 0)
Answer:
a
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = πr²h ( r is the base radius and h the perpendicular height )
To calculate the height h use the right triangle formed by the radius and the inclined side.
Given diameter = 22, then r = 22 ÷ 2 = 11 cm
Using Pythagoras' identity on the right triangle, then
h² + 11² = 61² , that is
h² + 121 = 3721 ( subtract 121 from both sides )
h² = 3600 ( take the square root of both sides )
h = = 60
Thus
V = π × 11² × 60
= 3.14 × 121 × 60 ≈ 22796.4 cm³ → a
Answer:
2) D: x = [0, 24]
3) R: y = [0, 384]
4) see graph
<u>Step-by-step explanation:</u>
Eric's regular wage is $12 per hour for all hours less than 9 hours.
The minimum number of hours Eric can work each day is 0.
f(x) = 12x for 0 ≤ x < 9
Eric's overtime wage is $18 per hour for 9 hours and greater.
The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).
f(x) = 18(x - 8) + 12(8)
= 18x - 144 + 96
= 18x - 48 for 9 ≤ x ≤ 24
The daily wage where x represents the number of hours worked can be displayed in function format as follows:
2) Domain represents the x-values (number of hours Eric can work).
The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.
D: 0 ≤ x ≤ 24 → D: x = [0, 24]
3) Range represents the y-values (wage Eric will earn).
Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.
The minimum hours he can work in one day is 0.
f(x) = 12x
f(0) = 12(0)
= 0
The maximum hours he can work in one day is 24 <em>(although unlikely, it is theoretically possible).</em>
f(x) = 18x - 48
f(24) = 18(24) - 48
= 432 - 48
= 384
D: 0 ≤ y ≤ 384 → D: x = [0, 384]
4) see graph.
Notice that there is an open dot at x = 9 for f(x) = 12x
and a closed dot at x = 9 for f(x) = 18x - 48
