MATH SOLVE

4 months ago

Q:
# Which expressions are equal to 0 when x = β1? Check all that apply. StartFraction 4 (x plus 1) Over (4 x plus 5) EndFraction StartFraction 4 (x minus 1) Over (5 minus 4 x) EndFraction StartFraction 4 (x minus (minus 1)) Over (4 x plus 5) EndFraction StartFraction 4 (x plus (minus 1)) Over (4 x plus 5) EndFraction StartFraction 4 (x plus 1) Over (5 minus 4 x) EndFraction

Accepted Solution

A:

Expressions are equal to 0 when x = β1 :1. 4(x+1) : (4x+5)3. 4(x-(-1) : (4x+5)5. 4(x+1) : (5-4x)Further explanation
Calculation operations include multiply, divide, add, substract, etc.
In mathematical operations we can use the order of operation / calculation according to the principle of PEMDAS
P: Parentheses β ( )
E: Exponents (powers, square roots, etc.)ββ,Β²
MD: Multiplication and Division β x and :
AS: Addition and Subtraction β + and -
We use the principle of the number 0 which is, if the number 0 divided by any number will produce the number 0 as wellLet see the answer choices : (x = -1)1. 4 (x plus 1) Over (4 x plus 5)we translate this sentence into Algebraic expressions:[tex]\displaystyle 4(x+1)\div(4x+5)\\\\=4(-1+1)\div(4.-1+5)\\\\=4(0)\div(-4+5)\\\\=0\div1\\\\=0[/tex]2. 4 (x minus 1) Over (5 minus 4 x)we translate this sentence into Algebraic expressions:[tex]\displaystyle 4(x-1)\div(5-4x)\\\\=4(-1-1)\div(5-4.-1)\\\\=4(-2)\div(5+4)\\\\=-8\div9\\\\\neq 0[/tex]3. 4 (x minus (minus 1)) Over (4 x plus 5)we translate this sentence into Algebraic expressions:[tex]\displaystyle 4(x-(-1)\div(4x+5)\\\\=4(-1+1)\div(4.-1+5)\\\\=4(0)\div(-4+5)\\\\=0\div1\\\\=0[/tex]4. 4 (x plus (minus 1)) Over (4 x plus 5)we translate this sentence into Algebraic expressions:[tex]\displaystyle 4(x+(-1)\div(4x+5)\\\\=4(-1-1)\div(4.-1+5)\\\\=4(-2)\div(-4+5)\\\\=-8\div1\\\\\neq 0[/tex]5. 4 (x plus 1) Over (5 minus 4 x)we translate this sentence into Algebraic expressions:[tex]\displaystyle 4(x+1)\div(5-4x)\\\\=4(-1+1)\div(5-4(-1))\\\\=4(0)\div(5+4)\\\\=0\div9\\\\=0[/tex]Learn moreThe numerical coefficient : Β an algebraic expression , equal to 0#LearnWithBrainly