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dybincka [34]
3 years ago
10

Which of the following represents the zeros of f(x) = x3 − 12x2 + 47x − 60?

Mathematics
2 answers:
topjm [15]3 years ago
6 0

Answer:

x=3, 4, or 5

Step-by-step explanation:

x^3 − 12x^2 + 47x − 60=0

First we have to determine one value of x by hit and trial method for which , the above polynomial becomes 0

on trying random values of x , we sees that for x = 3 , the polynomial becomes 0

Hence (x-3) is one of the factor

Hence now let us move with the factorization part

The above polynomial can be re written as

x^2(x-3)-9x(x-3)+20(x-3)

(x-3)(x^2-9x+20)

(x-3)(x^2-5x-4x+20)

(x-3)(x(x-5)-4(x-5))

(x-3)(x-5)(x-4)

hence we have our f(x) = (x-3)(x-5)(x-4)

In order to find the zeroes we put f(x) =0

Hence

[tex](x-3)(x-5)(x-4)=0

Therefore

if (x-3)=0 , x=3

if (x-5) , x= 5

if (x-4), x=4

Nutka1998 [239]3 years ago
4 0
This actually should be reported. There are no choices. However there are ways of finding out what the zeros are and I will do that first to begin with. 

The first is a bit of a cheat. My calculator will do it, so I'm just going to get the answer from it. 

x can equal 3
x can be 5
x can be 4

So f(x)= a (x - 3)(x-5 )(x -4) is the basic equation. You need another point other than the zeros to determine the value of a.

Method 2
Get the graph. 
I've done that below. Basically it agrees with what my calculator says.

Method 3
You could factor it, but simple factoring methods don't work with this question.

Method 4
You could do this in a method similar to a quadratic, but I can't do that. It is on my to do list to lean though.

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AlexFokin [52]
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B) In order to calculate the mean, you have to sum all the values and divide it by the number of values:
m(MSH) = (34 + 34 + 30 + 30 + 30 + 28 + 28 + 26) ÷ 8 
              = 240 ÷ 8
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m(RM) = (40 + 38 + 36 + 36 + 36 + 36 + 34 + 32) ÷ 8
           = 288 ÷ 8
           = 36

In order to calculate the mean absolute deviation (MAD), you need to calculate the absolute values from the mean, sum them up and divide it by the number of values; the absolute values of the difference from the mean are:
MSH = <span>{|34-30|, |34-30|, |30-30|, |30-30|, |30-30|, |28-30|, |28-30|, |26-30|}
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RM = </span><span>{|40-36|, |38-36|, |36-36|, |36-36|, |36-36|, |36-36|, |34-36|, |32-36|}
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Therefore,
MAD(MSH) = (</span>4 + 4 + 0 + 0 + 0 + 2 + 2 + 4) ÷ 8
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MAD(RM) = (4 + 2 + 0 + 0 + 0 + 0 + 2 + 4) ÷ 8
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C) In order to calculate the mean-to-MAD ratio, you need to simply divide the mean by the MAD:
r(MSH) = 30 ÷ 2 = 15

r(RM) = 36 ÷ 1.5 = 24

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Black_prince [1.1K]

Answer:

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Step-by-step explanation:

(1 1/10)/(1 1/5) = 1.1/1.2 = 11/12

__

You can also work this using improper fractions:

(1 1/10)/(1 1/5) = (11/10)/(6/5) = 11/10×5/6 = (11×5)/(6×10)

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Step-by-step explanation:

To solve this exercise you must keep on mind the following information:

1. By definition skip counting is about counting by a number which is not the number 1.

2. Skip counting by ten from 350 to 240 means that you need to subtract 10 to a number to find the other one.

3. Therefore, you must subtract 10 to 350 and then you need to do this over and over again until you get 240.

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bagirrra123 [75]

Answer:

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Step-by-step explanation:

Given that the plane travels 264 miles in 1.1 hours with a headwind, the following calculation must be performed to determine its speed:

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