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:
14=1/3c-1
Step-by-step explanation:
Mr. Chapel =c
14=1/3c-1
Answer:
<em>y-intercept - </em><em>(0,275)</em>
<em>x-intercept - </em><em>(125,0)</em>
Step-by-step explanation:
The intercepts are the points on the graph where the line goes through. Here, the line goes through approx. <em>275</em> on the y-axis, giving you the <em>y-intercept.</em>
Same with the x-axis - the line goes through approx. <em>125</em>
Hope that helps!
-Mary
Answer:
x = -1 or x = -3
Step-by-step explanation:
x + 3/x = -4
x² + 3 = -4x
x² + 4x + 3 = 0
(x + 1) (x + 3) = 0
x = -1 or x = -3
check: (-1) + (3/-1) = -1 - 3 = -4
(-3) + (3/(-3)) = -3 -1 = 14
Answer: x ≥ 6
<u>Step-by-step explanation:</u>
12 less <u>than</u> 5 times a number ≥ 6 more <u>than</u> twice the number
5x - 12 ≥ 2x + 6
Note: the word "than" switches the order of the terms.
5x - 12 ≥ 2x + 6
<u>-2x +12</u> <u>-2x +12 </u>
3x ≥ 18
<u>÷3 </u> <u> ÷3 </u>
x ≥ 6
Graph: 6 -----------→ the dot is closed (filled in) since it is "equal to"
