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3 years ago

Which of the following binomials is Not prime? a. 2x+1 , b. 3x+2 , c. x2-4 , d. x2+8

Mathematics

1 answer:

navik [9.2K]3 years ago

3 0

I believe you answer is c.x2-4 because of its form

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Complete this sentence: in a triangle, the angle with the smallest measure is always opposite the

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Complete this sentence: in a triangle, the angle with the smallest measure is always opposite the shortest side.

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3 years ago

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3w - (7w + 12) = 2(w – 3) how do u do this step by step

exis [7]

3w-7w-12=2w-6

-4w-12=2w-6

-12=6w-6

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1 year ago

⚠️What is the slope of the line that passes through the points ( 4,9 ) and ( 14, 17)⚠️

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3 years ago

Solve for x : log(3x) + log(x + 4) = log(15). Please explain it to me.

zlopas [31]

Answer:

x = 1

Explanation:

$\sf \rightarrow log(3x) + log(x + 4) = log(15)$

Rule: log(a) + log(b) = log(ab)

$\sf \rightarrow log(3x(x + 4)) = log(15)$

cancel out log on both sides

$\sf \rightarrow 3x(x + 4) = 15$

relocate constant variable

$\sf \rightarrow 3x^2 + 12x -15 = 0$

take 3 as a common factor

$\sf \rightarrow 3(x^2 + 4x -5) = 0$

divide both sides by 3

$\sf \rightarrow x^2 + 4x -5 = 0$

middle term split

$\sf \rightarrow x^2 + 5x -x-5 = 0$

factor common terms

$\sf \rightarrow x(x + 5) -1(x+5)= 0$

collect into groups

$\sf \rightarrow (x-1)(x+5)= 0$

set to zero

$\sf \rightarrow x-1 = 0 , \ x+5= 0$

relocate variables

$\sf \rightarrow x = 1, \ x = -5$

There must be a positive solution for log, so the solution is only x = 1

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1 year ago

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