Answer:
Step-by-step explanation:
i) 1
ii) see attached
iii) as x goes from 0 to 2, y decreases parabolically from 1 to an acme at -3
iv) y = (x - 2)² - 3
v) -3 < t < 1
if t < -3 no intersection occurs between y = t and y = (x - 2)² - 3
if t = -3, y = t intersects the curve at only one point, (2, -3)
if -3 < t < 1 there exist two intersecting points with positive x values
if t = 1 there exist only one positive x value intersection as the other is at (0, 1) and 0 is neither positive nor negative.
if t > 1 there is one positive x value intersection and one negative x value intersection.
Answer:
120
Step-by-step explanation:
The sum of the angles is 180 since it forms a straight line
2x+ x+90 = 180
Combine like terms
3x +90=180
Subtract 90 from each side
3x+90-90=180-90
3x= 90
Divide each side by 3
3x/3 = 90/3
x = 30
We want angle DBC = x+90
= 30+90
=120
Answer:
Look below!
Step-by-step explanation:
1.
1A (fraction): 1/6
1B (decimal): 0.16 (6 continues)
1C (percent): 16.66 (6 continues)
2.
5+15+7+8+10+15=60
10/60 time she got 5
1/6 chance she gets a 5 again
2A (fraction): 1/6
2B (decimal): 0.16 (6 continues)
2C (percent): 16.66 (6 continues)
3.
Yellow: 3/10 chance
Red: 1/5 chance
Blue: 2/5 chance
Pink: 0/20 chance
You're welcome in advance.
