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2 years ago

Find the zeros of ƒ(x) = (x + 2)(x – 1)(x – 3)(x + 1).

Mathematics

1 answer:

Degger [83]2 years ago

4 0

Answer:

X=-2 x=1 x=3 and x=-1

Step-by-step explanation:

When the problem asks you to find the zeros all they are asking for is the solution so to solve all you need to do is set each individual piece equal to zero.

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6 pounds of sugar for $3 how much per pound

nirvana33 [79]

Answer:

$0.5

Step-by-step explanation:

3/6 = 0.5

3 0

3 years ago

PLZ HELP ASAP! ILL MARK BRAINLEST!

Sav [38]

Question 1.) Factor completely $12x^{4}+ 6x^{3}+18x^{2}$

Since $6$ divides all the three terms of the equation, so we take $6$ common out from the equation.

i.e., $6(2x^{4}+ 1x^{3}+3x^{2})$

Now, since $x^{2}$ divides all the three terms of the equation, so we take $x^{2}$ common out from the equation.

i.e., $6x^{2}(2x^{2}+ 1x+3)$

Now, this cannot be factored further as $2x^{2}+ 1x+3$ is a quadratic equation and taking out discriminant of it is:

$D = (1)^2 - 4(2)(3)\\ \ \ = 1- 24\\ \ \ = -23$

Since, the discriminant is less than zero. Therefore, the factored form of the given equation : $12x^{4}+ 6x^{3}+18x^{2}$ is : $6x^{2}(2x^{2}+ 1x+3)$

Question 2.) $7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}$

Since $7$ divides all the three terms of the equation, so we take $7$ common out from the equation.

i.e., $7(x^{3}y+ 2x^{2} y^{3} - x^{2}y^{2})$

Now, since $x^{2}y$ divides all the three terms of the equation, so we take $x^{2}y$ common out from the equation.

i.e., $7x^{2}y(x+ 2y^{2} - y)$

Therefore, the factored form of the given equation : $7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}$ is : $7x^{2}y(x+ 2y^{2} - y)$

Question 3.) What is the Greatest Common Factor of $x^{6}$ and $x^{3}$ ?

The Greatest Common Factor of two numbers is the biggest number which divides both the given numbers completely.

Now, for the expressions $x^{6}$ and $x^{3}$ :

Since, $x^{3}$ divides both the expressions completely and it is the biggest expression which divides both the expressions.

Therefore, $x^{3}$ is the Greatest Common Factor of $x^{6}$ and $x^{3}$

7 0

3 years ago

Read 2 more answers

-13/10 as a decimal

Cloud [144]

Answer:

-1.3

Step-by-step explanation:

4 0

3 years ago

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23. According to one of Tolkien's essays, there were 144 elves originally created by the gods in Middle-Earth. If their numbers

oksian1 [2.3K]

Answer:

Step-by-step explanation:

elves in 1000 years = elves now x (rate of increase)^time

elves increase every century. there are ten years in a century. thus time = 1000/100 = 10 years

144 x (3)^10 = 8,503,056 elves

5 0

2 years ago

Find the circumference of a circle if the area is 300 square centimeters.

Blababa [14]

The answer is: [C]: 61.38 cm .
_______________________________________________

Note: A = $\pi *r$ ²

300 = (3.14) * r² ;
______________________
Divide each side by "3.14" ;

r² = 300/3.14 ;

r² = 95.5414012738853503 ;

√r² = √(95.5414012738853503) ;

r = 9.7745281867661188048

Circumference, "C" = $\pi$ * d ; (d = diameter = 2*r);

C = 2* $\pi$ *r ;

C = 2*(3.14)*(9.7745281867661188048)

C = 61.384037012891226094144 ; which rounds to answer choice:
[C]: 61.38 cm .
________________________________________________________

8 0

2 years ago

Read 2 more answers