Expressions are equal to 0 when x = –1 :
- 1. 4(x+1) : (4x+5)
- 3. 4(x-(-1) : (4x+5)
- 5. 4(x+1) : (5-4x)
<h3>Further explanation
</h3>
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 ⇒ ( )
- E: Exponents (powers, square roots, etc.)⇒√,²
- MD: Multiplication and Division ⇒ x and :
- AS: Addition and Subtraction ⇒ + 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 well
Let see the answer choices : (x = -1)
1. 4 (x plus 1) Over (4 x plus 5)
we translate this sentence into Algebraic expressions:
![\displaystyle 4(x+1)\div(4x+5)\\\\=4(-1+1)\div(4.-1+5)\\\\=4(0)\div(-4+5)\\\\=0\div1\\\\=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%204%28x%2B1%29%5Cdiv%284x%2B5%29%5C%5C%5C%5C%3D4%28-1%2B1%29%5Cdiv%284.-1%2B5%29%5C%5C%5C%5C%3D4%280%29%5Cdiv%28-4%2B5%29%5C%5C%5C%5C%3D0%5Cdiv1%5C%5C%5C%5C%3D0)
2. 4 (x minus 1) Over (5 minus 4 x)
we translate this sentence into Algebraic expressions:
![\displaystyle 4(x-1)\div(5-4x)\\\\=4(-1-1)\div(5-4.-1)\\\\=4(-2)\div(5+4)\\\\=-8\div9\\\\\neq 0](https://tex.z-dn.net/?f=%5Cdisplaystyle%204%28x-1%29%5Cdiv%285-4x%29%5C%5C%5C%5C%3D4%28-1-1%29%5Cdiv%285-4.-1%29%5C%5C%5C%5C%3D4%28-2%29%5Cdiv%285%2B4%29%5C%5C%5C%5C%3D-8%5Cdiv9%5C%5C%5C%5C%5Cneq%200)
3. 4 (x minus (minus 1)) Over (4 x plus 5)
we translate this sentence into Algebraic expressions:
![\displaystyle 4(x-(-1)\div(4x+5)\\\\=4(-1+1)\div(4.-1+5)\\\\=4(0)\div(-4+5)\\\\=0\div1\\\\=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%204%28x-%28-1%29%5Cdiv%284x%2B5%29%5C%5C%5C%5C%3D4%28-1%2B1%29%5Cdiv%284.-1%2B5%29%5C%5C%5C%5C%3D4%280%29%5Cdiv%28-4%2B5%29%5C%5C%5C%5C%3D0%5Cdiv1%5C%5C%5C%5C%3D0)
4. 4 (x plus (minus 1)) Over (4 x plus 5)
we translate this sentence into Algebraic expressions:
![\displaystyle 4(x+(-1)\div(4x+5)\\\\=4(-1-1)\div(4.-1+5)\\\\=4(-2)\div(-4+5)\\\\=-8\div1\\\\\neq 0](https://tex.z-dn.net/?f=%5Cdisplaystyle%204%28x%2B%28-1%29%5Cdiv%284x%2B5%29%5C%5C%5C%5C%3D4%28-1-1%29%5Cdiv%284.-1%2B5%29%5C%5C%5C%5C%3D4%28-2%29%5Cdiv%28-4%2B5%29%5C%5C%5C%5C%3D-8%5Cdiv1%5C%5C%5C%5C%5Cneq%200)
5. 4 (x plus 1) Over (5 minus 4 x)
we translate this sentence into Algebraic expressions:
![\displaystyle 4(x+1)\div(5-4x)\\\\=4(-1+1)\div(5-4(-1))\\\\=4(0)\div(5+4)\\\\=0\div9\\\\=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%204%28x%2B1%29%5Cdiv%285-4x%29%5C%5C%5C%5C%3D4%28-1%2B1%29%5Cdiv%285-4%28-1%29%29%5C%5C%5C%5C%3D4%280%29%5Cdiv%285%2B4%29%5C%5C%5C%5C%3D0%5Cdiv9%5C%5C%5C%5C%3D0)
<h3>Learn more</h3>
The numerical coefficient
brainly.com/question/11050477
Keywords : an algebraic expression , equal to 0
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