A car drives 120 miles in 3 hours. Calculate the average speed, in mph, of the car.

Mathematics

1 answer:

4vir4ik [10]3 years ago

7 0

Answer:

40 mph per hour

Step-by-step explanation:

120/3=40

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Answer:

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Step-by-step explanation:

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Find all solutions and solutions in interval[0,2pi)

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$\bf sin(2\theta)=2sin(\theta)cos(\theta)\\\\
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sin(2x)-\sqrt{3}cos(x)=0\implies 2sin(x)cos(x)-cos(x)\sqrt{3}=0
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\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}\\\\
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3 years ago

Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f

GalinKa [24]

Answer:

$\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }$

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

$\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}$