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olga2289 [7]
3 years ago
13

Solve |2x - 5| = 4.

Mathematics
2 answers:
vladimir1956 [14]3 years ago
8 0
Decimal form: 4.05, 0.5
Exact form: 9/2, 1/2
Ierofanga [76]3 years ago
5 0

9514 1404 393

Answer:

  (x | x = 0.5 or x = 4.5}

Step-by-step explanation:

The given equation resolves to two:

  2x -5 = 4

  2x = 9 . . . . . . add 5

  x = 9/2 = 4.5 . . . . divide by 2

and ...

  2x -5 = -4

  2x = 1 . . . . . . add 5

  x = 1/2 = 0.5 . . . . divide by 2

Then the solution set is ...

  (x | x = 0.5 or x = 4.5} . . . . . . matches the first choice

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200 out of 1936 equals about 10%

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Find a polynomial function of degree 3 with 2, i, -i as zeros.
sergiy2304 [10]

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

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Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

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Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

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Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
3 years ago
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kotykmax [81]

Answer:

(5, 5 )

Step-by-step explanation:

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A translation of 4 units up means add 4 to the y- coordinate.

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igor_vitrenko [27]

Answer:

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Step-by-step explanation:

Hope this helped : )

8 0
3 years ago
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