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aev [14]
4 years ago
7

(x^2-10x+30)/(x-5) all it says is dividing polynomials

Mathematics
1 answer:
galina1969 [7]4 years ago
7 0
At each step, you determine the quotient term by dividing the highest-degree term of the dividend by the highest degree term of the divisor. When you can't do that anymore, you're done and the remaining dividend is the remainder.

Here, the highest-degree dividend term is x^2 and the highest-degree divisor term is x. Their ratio, x^2/x = x, is the first quotient term. In the usual manner of long division, you subtract the product of this quotient term and the divisor to get the new dividend.

For this problem, the quotient is (x -5) and the remainder is 5. You can write the result as
   (x² -10x +30)/(x -5) = (x -5) +5/(x -5)

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Gnom [1K]

Answer:

C

Step-by-step explanation:

Given the two functions, we need to find

(g ° f)(4)

This means, we need to put the function f(x) INTO the function g(x) and then evaluate that new function at x = 4.

We put the whole expression of f(x) into "x" of g(x). Shown below:

f(x)=x^2-3\\g(x)=\frac{x+2}{x}\\(gof)(x)=\frac{x^2-3+2}{x^2-3}\\(gof)(x)=\frac{x^2-1}{x^2-3}

Now we plug in 4 into x and evaluate:

(gof)(x)=\frac{x^2-1}{x^2-3}\\(gof)(4)=\frac{4^2-1}{4^2-3}\\(gof)(4)=\frac{15}{13}

Thus,

correct answer is C

5 0
3 years ago
On a workday the average decibel level of a busy street is 69 db, with 139 cars passing a given point every minute. if the numbe
Vlad1618 [11]
Decibel is directly proportional to number of cars passing the point. That is,

69 db ----- 139 cars
x   db ----- 17 cars

x = number of cars passing the point per minute on a weekend.

Then,
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8 0
4 years ago
Which is more greater 5.514 or 5.541
svetoff [14.1K]

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Step-by-step explanation: hope it helps  

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2 years ago
What is the slope of the line through (-10, 1) and (0, –4)?
aleksandr82 [10.1K]

Answer:

-0.5

Step-by-step explanation:

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         = (-4 - 1)/(0-(-10))

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         = -0.5

3 0
3 years ago
Due today helpppppppppp
Rudiy27

Answer:

Step-by-step explanation:

c and d

7 0
3 years ago
Read 2 more answers
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