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lubasha [3.4K]
3 years ago
10

Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 mi

les per hour. The average speed of the second car is 55 miles per hour. Which equation can be used to determine t, the time it takes for the two cars to pass each other?
60t – 55t = 0
60t + 55t = 1
60t + 55t = 150
60t – 55t = 150
Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0

The answer is I took the test 60t + 55t = 150


coldgirl [10]3 years ago
4 0
<span>Answer: 60t + 55t = 150</span>
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Is the binomial a factor of the polynomial function?
olchik [2.2K]

Answer:

YES

NO

NO

Step-by-step explanation:

The given polynomial is: $ f(x) =  x^3 + 4x^2 - 25x - 100 $

(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.

To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.

∴ f(5) = 5³ + 4(5)² - 25(5) - 100

        = 125 + 100 - 125 - 100

        = 225 - 225

        = 0

We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.

Now, to check (x + 2) is a factor.

i.e., to check x = - 2 satisfies f(x) or not.

f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100

      = -8 + 16 + 50 - 100

     = -108 + 66

     ≠ 0

Therefore, (x  + 2) is not a factor of f(x).

To check (x - 4) is a factor.

∴ f(4) = 4³ + 4(4)² - 25(4) - 100

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Step-by-step explanation:

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GarryVolchara [31]

Answer:

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Step-by-step explanation:

To evaluate \displaystyle{f(x+1)}, substitute \displaystyle{x} to \displaystyle{x+1} so we should have:

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Evaluate the expression and finally, we have:

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