Answer:
y = 2 - ( x - 1)²/9
Step-by-step explanation: See Annex
As the parameter t increases, the value of x increases and the value of y decreases, we get the figure of the annex ( the arrow in the Annex indicates the way of the curve with t increasing.
b) to eliminate the parameter:
x = 1 + 3*t (1) y = 2 - t² (2)
Then from equation (1) t = ( x - 1 ) / 3
plugging that value in equation (2)
y = 2 - [ ( x - 1 ) / 3 ]²
y = 2 - ( x² + 1 - 2*x)/9
9*y = 18 - x² + 1 - 2*x or y = 2 - ( x - 1)²/9
The curve is a parabol
Answer:
the last one
Step-by-step explanation:
Answer:
$24.3
Step-by-step explanation:
Tip:
15% of 18 = 0.15 x 18 = 2.7
Cost of Dinner:
Tip + Cost of meal = total price
2.7 + 18 = 20.7
Money Remaining:
Starting value - Cost of Dinner = Amount remaining
45 - 20.7 = 24.3
-Chetan K
Answer:
3x+3a-9e+8
Step-by-step explanation:
(4x+4x-5x)+3a-9e+8
8x-5x+3a-9e+8
3x+3a-9e+8
<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.
<u>Let's calculate theor individual work rate</u> :
Felix's rate = 1/90
Oscar's rate = 1/120
Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360
<u>Time taken for both of the to decorate 8 dozens</u> :
Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes
<u>Hence, the time taken to decorate 16 dozens will be</u> :
(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).
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