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:
-16
Step-by-step explanation:
-5-(3^2+2)
Parentheses first
-5-(9+2)
-5-(11)
Subtract
-16
Answer:
x = 91/11
Step-by-step explanation:
1. x - 3/11 = 8
2. add 3/11 to both sides of the equation
3. x = 91/11
Answer:
B. 7y - 15
Step-by-step explanation:
Simplifying
10y + -3(y + 5) = 0
Reorder the terms:
10y + -3(5 + y) = 0
10y + (5 * -3 + y * -3) = 0
10y + (-15 + -3y) = 0
Reorder the terms:
-15 + 10y + -3y = 0
Combine like terms: 10y + -3y = 7y
-15 + 7y = 0
Solving
-15 + 7y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 7y = 0 + 15
Combine like terms: -15 + 15 = 0
0 + 7y = 0 + 15
7y = 0 + 15
Combine like terms: 0 + 15 = 15
7y = 15
Divide each side by '7'.
y = 2.142857143
Simplifying
y = 2.142857143
180 is the answer 3(30+18+12) distributive property gives you 90+54+36 which equals 180 <span />
