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3 years ago

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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3 years ago

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 ,

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

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Simplify using i = √-1 ,

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

Multiply by distribution ,

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Simplify by opening the brackets ,

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Rearrange ,

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3 years ago

What is the image point of (9, 1) after translation left 4 units and up 4 units

kotykmax [81]

Answer:

(5, 5 )

Step-by-step explanation:

A translation of 4 units left means subtract 4 from the x- coordinate

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

(9, 1 ) → (9 - 4, 1 + 4 ) → (5, 5 )

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3 years ago

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igor_vitrenko [27]

Answer:

Your answer is: x = 15/7

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

8 0

3 years ago