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3 years ago

6

Train A travels 50 miles/hour.Train A has been traveling for 25 minutes when train B set out in the same direction traveling 60

miles/hour. How long will it take train B to catch up with train?

1 answer:

White raven [17]3 years ago

7 0

The answer is 20.83......minutes

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What are the zeros of the polynomial function f(x) = x3 − 2x2 − 24x?

Morgarella [4.7K]

Answer:

x = 0, x = -4, and x = 6

Step-by-step explanation:

To find the zeros of this polynomial, we can begin by factoring out a common factor of each term. 'x' is a common factor. We can distribute this variable out, giving us:

f(x) = x(x²- 2x- 24)

Now, factor the polynomial inside of the parenthesis into its simplest form. Factors of -24 that add up to -2 are -4 and 6.

f(x) = x( x + 4) (x - 6)

From this, we can derive the zeros x = 0, x = -4 and x = 6.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

Viktor [21]

Answer:

<h2> (2, -1)</h2>

Step-by-step explanation:

Given the function f(x) = 8x³ − 12x² − 48x, <em>the critical point of the function occurs at its turning point i,e at f'(x) = 0</em>

First we have to differentiate the function as shown;

$f'(x)= 3(8)x^{3-1}- 2(12)x^{2-1} - 48x^{1-1}\\ \\f'(x) = 24x^2 - 24x-48x^0\\\\f'(x) = 24x^2 - 24x-48\\\\At \ the\turning\ point\ f'(x)= 0\\24x^2 - 24x-48 = 0\\\\\\$

$Dividing \ through \ by \ 24\\\\x^2-x-2 = 0\\\\On \ factorizing\\\\x^2-2x+x-2 = 0\\\\x(x-2)+1(x-2) = 0\\\\(x-2)(x+1) = 0\\\\x-2 = 0 \ and \ x+1 = 0\\\\x = 2 \ and \ -1$

Hence the critical numbers of the function are (2, -1)

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3 years ago

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insens350 [35]

56.67 miles per hour

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3 years ago

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Lucas is offered either 15% or $21 off his total shopping bill. how much would have to be spent to make the 15% option the best

vladimir1956 [14]

Let the total bill be x. We have:
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2 years ago