Ben can have 8 servings total!
Hope this helps! :)
Answer:
u = -2, -3/5
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Factoring
- Finding roots
Step-by-step explanation:
<u>Step 1: Define equation</u>
5u² + 6 = -13u
<u>Step 2: Solve for </u><em><u>u</u></em>
- Rewrite: 5u² + 13u + 6 = 0
- Factor: (u + 2)(5u + 3) = 0
- Find roots: u = -2, -3/5
Answer:
1/4
Step-by-step explanation:
Answer:
x ≤ 6.12
Step-by-step explanation:
If the cost of 1 hamburger in a restaurant is $0.49, the amount of hamburger $3 can buy is expressed as shown
.
$0.49 = 1
$3 ≤ x (since you have maximum of $3 to spend. It cant be more than that)
cross multiply to find the expression for x.
$0.49 * x ≤ $3 * 1
$0.49x ≤ $3
Divide both sides by $0.49
$0.49x/$0.49 ≤ $3/$0.49
x ≤ $3/$0.49
x ≤ 6.12
The number of hamburgers you can buy is represented by the inequality x ≤ 6.12
Answer:
NO amount of hour passed between two consecutive times when the water in the tank is at its maximum height
Step-by-step explanation:
Given the water tank level modelled by the function h(t)=8cos(pi t /7)+11.5. At maximum height, the velocity of the water tank is zero
Velocity is the change in distance with respect to time.
V = {d(h(t)}/dt = -8π/7sin(πt/7)
At maximum height, -8π/7sin(πt/7) = 0
-Sin(πt/7) = 0
sin(πt/7) = 0
Taking the arcsin of both sides
arcsin(sin(πt/7)) = arcsin0
πt/7 = 0
t = 0
This shows that NO hour passed between two consecutive times when the water in the tank is at its maximum height
