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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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3(y+7)+8y plz be spacific and answer correctly, im counting on you. :)
Galina-37 [17]

Answer:

11y + 21

Step-by-step explanation:

mutipily 3 by y + 7 bc 3 is right outside of the parentheis which means to mutipily. Then u get 3y +21 +8y. then simpilfy

7 0
3 years ago
ky has 3 times more books than grant and grant has 6 fewer books than Jaime if the total combined number of books is 176 how man
sergiy2304 [10]
Number of books each of them have:

Jaime: x
Grant: x - 6
Ky: 3 (x - 6)

There are 176 books in total, so we can write it down as:

176 = x + x - 6 + 3 (x - 6)
176 = x + x - 6 + 3 * x + 3 * (-6)
176 = x + x - 6 + 3x - 18
176 = 2x - 6 + 3x - 18
176 = 5x - 24                        / + 24 (both sides)
5x = 200                              / ÷ 5 (both sides)
x = 40

Doublecheck:

Jamie: 40
Grant: 40 - 6 = 34
Ky: 3 (40 - 6) = 3 * 34 = 102

102 + 34 + 40 = 176, so it's correct :)
5 0
3 years ago
Read 2 more answers
In the diagram below, angle 7 equals 61°.<br><br><br><br> What is the measure of angle 8?
V125BC [204]

Answer:

119

Step-by-step explanation:

So angle 6 equals angle 7 vertically opp angles. So 61 times 2 is 122. Total angles around a point is 360. So 360 - 122 is 238 which divided by 2 will give 119 cause angle 8 equals angle 5.

7 0
3 years ago
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Fatima evaluated the expression when m = -2 and n = 4. Her work is shown below.
Kruka [31]

Answer:

The answer to your question is: third option is correct.

Step-by-step explanation:

The third option is correct

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                                           \frac{4}{(2)^{2}(4)^{3}}}

                                           

4 0
3 years ago
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Lynn wants to serve hamburgers at her birthday party if hamburger buns are sold in packages of 8 and hamburger patties are sold
WARRIOR [948]

everyone will get 2 burgers i got this answer by multiplying 8 and 6 and then i divided it by 24 and i got 2



                                                    hope it helps

3 0
3 years ago
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