You have a truck with two gas tanks. The volume of the larger tank is "8x2 + 2x β 1" in3 and the volume of the smaller tank is "7x2 β 2x + 1" in3. Find a single expression that represents the capacity of both gas tanks combined. A) 15x2
Accepted Solution
A:
The combined volume of both tanks is: Option A: 15x^2Step-by-step explanation:GivenVolume of larger tank = V_L = Β [tex]8x^2+2x-1[/tex] in^3Volume of smaller tank = V_S= [tex]7x^2-2x+1[/tex] in^3To find the combined volume, we have to add both volumes[tex]V = V_L+V_S\\=8x^2 + 2x - 1 + (7x^2 - 2x + 1)\\=8x^2+2x-1+7x^2-2x+1\\Combining\ like\ terms\\=8x^2+7x^2+2x-2x-1+1\\=15x^2[/tex]Hence,The combined volume of both tanks is: Option A: 15x^2Keywords: Expressions, PolynomialsLearn more about polynomials at:brainly.com/question/10633485brainly.com/question/10672611#LearnwithBrainly