Answer:
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
Step-by-step explanation:
x = 3 + t
y = t² − 4
Eliminating the parameter:
t = x − 3
y = (x − 3)² − 4
This is an upwards parabola with a vertex at (3, -4).
x = 3 + t, so as t increases, x increases.
So the curve is traced from left to right.
What you do is plug the z value (first column) into the formula (second column), and solve for y. For instance, the first one would be y = -1-2, or -3. The x would be the x in the ordered pair, and the final ordered pair would be (-1,-3). Make sense?
For 1 - 12y < 3y+1; y > 15
For 2 - 6y > 4 + 4y; y < -0.2
The given inequalities are:
1 - 12y < 3y + 1
2 - 6y > 4 + 4y
For 1 - 12y < 3y + 1:
1 - 12y < 3y + 1
Collect like terms
-12y - 3y < 1 - 1
-15y < 0
Multiply both sides by -1
-1(-15y) > 0(-y)
15y > 0
Divide both sides by 15
y > 0/15
y > 15
For 2 - 6y > 4 + 4y
Collect like terms
-6y - 4y > 4 - 2
-10y > 2
Multiply both sides by -1
-1(-10y) < 2(-1)
10y < -2
y < -2/10
y < -0.2
Learn more here: brainly.com/question/11316045
Answer:
x = 6
Step-by-step explanation:
5x = 24 + 6
5x = 30
5x/5 = 30/5
x = 6
