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3 years ago

Evaluate the following absolute value expressions. 5|2-8|

Mathematics

1 answer:

andriy [413]3 years ago

4 0

Yur answer to ur question is 30

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

Factor Theorem

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

4 0

2 years ago

Read 2 more answers

A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas

-BARSIC- [3]

Answer:

392 miles in all.

3 0

3 years ago

Please help if you can:)

Minchanka [31]

EXPLANATION:
Let the no. of orders Greg served be x.
Orders Chau served = 2x
Orders Maya served= x + 9
Orders served in all= 69

x + 2x + x + 9 = 69
=> 4x + 9 = 69
=> 4x = 69 - 9
=> x = 60/4
=> x = 15

ANSWER:
Number of orders Maya served = (15 + 9) 24
Number of orders Greg served = 15
Number of orders Chau served = (2*15) 30

Hope it helps u!

3 0

2 years ago

X + 15 = 28 O A. x= 13 O B. x = 33 O C. x = 43 O D. x = 23

Mariana [72]

Answer:

Step-by-step explanation:

the answer is

x+15=28

x=28-15

x= 13

7 0

3 years ago

Read 2 more answers

What is the sum of 35 and the product of 250

natali 33 [55]

The answer to this question is:

What is the sum of 35 and the product of 250"7/40"

Hoped This Helped, Prayon16
Your Welcome :)

5 0

3 years ago