Answer:
he now owes $385.63
Step-by-step explanation:
owes $412.42
returns an item for $48.38
-412.42 + 48.38 = -364.04
he now owes $364.04
returns an item for $49.57
-364.04 + 49.57 = -314.47
he now owes $314.47
makes a purchase of $34.10
-314.47 - 34.10 = -348.57
he now owes $348.57
makes a purchase of $37.06
-348.57 - 37.06 = -385.63
he now owes $385.63
Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Answer:
113.04
Step-by-step explanation:
To find the area of a circle, you multiply 3.14 times the radius squared. To find the radius, you divided the diameter by 2. You get 6. You square 6 and get 36. Multiply that by 3.14 and you'll get 113.04 as your area.
Answer:
2 flavors and 4 toppings
Step-by-step explanation:
For there to be 8 possible ways, you need to have inputs that can equal that. 4×2 is 8
The 12 lb bag for $ 18 is better to buy.
Step-by-step explanation:
Given,
Choice 1: A 12 lb bag for $ 18.
Choice 2: A 15 lb bag for $ 24.
To find which choice is better.
<u>For choice 1:</u>
12 lb bag cost $ 18
1 lb bag costs = $ 18÷12 = $ 1.5
<u>For choice 2: </u>
15 lb bag cost $ 24
1 lb bag costs = $ 24÷15 = $ 1.6
Hence,
The 12 lb bag for $ 18 is better to buy.