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3 years ago

What is the root of the polynomial equation x(x-2)(x+3)=18 ? Use a graphing calculator and a system of equations.

Mathematics

2 answers:

kari74 [83]3 years ago

7 0

It has four choses and you didn't show the right one, answer is 3.

3(3-2)(3+3)=18

3(1)(6)=18

3*6=18

Hoochie [10]3 years ago

5 0

Answer:

3 is the root of the equation.

Step-by-step explanation:

We have to find the root of the polynomial equation x(x-2)(x+3)=18.

We can find the same by using a graphing utility and the system of equations.

We can make two equations which are given by

$y=x(x-2)(x+3)....................(1)\\\\y=18$

Now, we plot the graph of these equations and the x-coordinate of the intersection point will be the root of the equation.

the graph has been shown in the attached file.

The intersection point is (3, 18) and the x-coordinate is 3.

Therefore, 3 is the root of the equation.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Find the number that makes the ratio equivalent to 2:6.<br><br> 8:

Citrus2011 [14]

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3 years ago

The spiders and ants in Aunt Mellys attic have a total of 152 legs and 22 heads. Spiders have 8 legs and ants have 6 legs. How m

Scorpion4ik [409]

Answer:

10 spiders and 12 ants

Step-by-step explanation:

You need to create two equations

s = # of spiders

a = # of ants

s + a = 22 heads

since each spider and ant has one head

8s + 6a = 152 legs

since every spider has 8 legs and every ant has 6

s + a = 22 can be turned into s = 22 - a

now use substitution

8(22 - a) + 6a = 152

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24 = 2a

a = 12

now that you have the number of ants you can solve for the number of spiders

s + a = 22

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s = 10

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2 years ago