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Marat540 [252]
3 years ago
7

What are the zeros of the polynomial function: f(x) = x3 + x2 – 6x ? ...?

Mathematics
2 answers:
Vikki [24]3 years ago
7 0
The solution to the problem is as follows:

  
<span>x³ + x² − 6x = 0 </span>
<span>x (x² + x − 6) = 0 </span>
<span>x (x − 2) (x + 3) = 0 </span>
<span>x = 0, 2, −3 </span>


<span>f(x) = 2x³ + 5x² + 6x − 4 </span>
<span>f(−x) = −2x³ + 5x² − 6x − 4 </span>

<span>Let's look at signs only and how many sign changes there are: </span>
<span>f(x) = + + + − </span>
<span>1 sign change ----> 1 positive root </span>
<span>f(−x) = − + − − </span>
<span>2 sign changes ----> 2 or 0 negative roots </span>

<span>Min. number of real roots = 1 ----> max. number of complex roots = 2 </span>
<span>Max. number of real roots = 3 ----> min. number of complex roots = 0
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
IrinaK [193]3 years ago
3 0

Answer:

it B.x=-2,x=0and x=3

Step-by-step explanation:

apexs

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You are planning to work in the summer (13 weeks). You
Llana [10]

Answer:

(a) Equations for both

y = 500 + 12x --- lifeguard

y = 15x --- camp counselor

(b) Total pay for 5 days

Lifeguard pays $800

Camp counselor pays $375

(c) Which pays more

Lifeguard job pays more

Step-by-step explanation:

Let

x \to hours

y \to total\ pay

Given

Lifeguard job

Signing\ bonus = \$500

Rate = \$12/hr

Camp counselor job

Signing\ bonus =\$0

Rate = \$15/hr

Solving (a): The equation for both

The total pay for each job is calculated as:

Total Pay = Signing Bonus + Rate * Hours

So, we have:

Lifeguard

y = 500 + 12*x

y = 500 + 12x

Camp counselor

y = 0 + 15 * x

y = 15x

Solving (b): Total pay for 5 days

First, we calculate the total hours worked in 5 days

x = 5hrs/day * 5days

x = 25hrs

So, the pay for each is:

y = 500 + 12x

y =500 + 12*25

y =800 --- Lifeguard

y = 15x

y = 15 * 25

y = 375 --- camp counselor

Solving (c): Which job pays more

By comparing the solution in (b)

800 > 375

<em>Hence, lifeguard job pays more</em>

6 0
3 years ago
What is 714 divided by 14?
ivanzaharov [21]

Answer:

51

Step-by-step explanation:

Hope this helps

3 0
3 years ago
Read 2 more answers
Urgent please help!!
wolverine [178]

Answer:

i think it would be B because if AC= 80 and thats like the distane between then abc would be 80 if im thinking right

Step-by-step explanation:

but  hey if im wrong ill have my friend punch me in the arm to make it even

4 0
3 years ago
The quotient of 48 and x
Romashka-Z-Leto [24]

Answer: Quotient means when you divided a number by another number.

Our first number will be 48 and also in this problem lets have that second "number" be x.

So 48/x is the quotient.

5 0
3 years ago
29. (09.04 MC)
lara [203]

Answer:

The center is located at (-1, -2), and the radius is 5.

Step-by-step explanation:

The general equation of a circle is given as

(x - a)^2 + (y - b)^2 = r^2

where

a and b are the centre of the circle and r is the radius

Given the equation

x2 + 2x + y2 + 4y = 20

add 1 ad 4 to both sides

x2 + 2x + 1 + y2 + 4y + 4 = 20 + 4 + 1

factorise

(x +1)^2 + (y+2)^2 = 5^2

comparing with the general equation

a = -1, b = -2, r = 5 (all measured in units)

7 0
3 years ago
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