3 years ago

Write an algebraic expression to represent the English sentence.

Mathematics

1 answer:

OleMash [197]3 years ago

4 0

Answer:

1. 4n <u>></u> 51

2. 3x-2 = x+5

Step-by-step explanation:

You might be interested in

Dominic uses 1/2 tablespoon of almond butter to make a sandwich. He needs to make 5 sandwiches. How many tablespoons of almond b

Pani-rosa [81]

2 and a half tablespoons of almond butter

4 0

4 years ago

6. (x + 2)(3x - 1) - (x + 4)(x - 7)<br> i’m confused

Lera25 [3.4K]

Answer:

$\large\boxed{(x+2)(3x-1)-(x+4)(x-7)=2x^2+8x+26}$

Step-by-step explanation:

$(x+2)(3x-1)-(x+4)(x-7)\\\\\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(x+2)(3x-1)=(x)(3x)+(x)(-1)+(2)(3x)+(2)(-1)\\\\=3x^2-x+6x-2=3x^2+(-x+6x)-2=3x^2+5x-2\\\\(x+4)(x-7)=(x)(x)+(x)(-7)+(4)(x)+(4)(-7)\\\\=x^2-7x+4x-28=x^2+(-7x+4x)-28=x^2-3x-28\\\\(x+2)(3x-1)-(x+4)(x-7)=(3x^2+5x-2)-(x^2-3x-28)\\\\=3x^2+5x-2-x^2-(-3x)-(-28)=3x^2+5x-2-x^2+3x+28\\\\=(3x^2-x^2)+(5x+3x)+(-2+28)\\\\=2x^2+8x+26$