Simplify the expression below; z^3+7z^2 +z+z^2+2 z+3

z^3 + 8 z^2 + 3 z + 3

Step-by-step explanation:

Simplify the following:

z^3 + 7 z^2 + z^2 + 2 z + z + 3

Grouping like terms, z^3 + 7 z^2 + z^2 + 2 z + z + 3 = z^3 + (7 z^2 + z^2) + (z + 2 z) + 3:

z^3 + (7 z^2 + z^2) + (z + 2 z) + 3

7 z^2 + z^2 = 8 z^2:

z^3 + 8 z^2 + (z + 2 z) + 3

z + 2 z = 3 z:

 z^3 + 8 z^2 + 3 z + 3

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt