A dentist conducts a survey to determine whether a certain brand of mouthwash improves gum health more than others. When his pat
2 answers:
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Answer:
The time spend to burn energy is 3300 minutes .
Step-by-step explanation:
Given as :
The speed at which the bike ride = 10 miles per hours
The energy burn while riding = 550 calories
Let The time spend to burn energy = t minutes
So, According to question
Time spend =
i.e t = hours
∴ t = 55 hours
So, in minutes
The time spend
1 hours = 60 min
∴ 55 hours = 60 × 55 = 3300 minutes
So, The spend to burn energy = t = 3300 minutes
Hence The time spend to burn energy is 3300 minutes . Answer
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
