Answer:
6z^3 + 4z^2 + 5
Step-by-step explanation:
Combine like terms from each side of the expression.
(4z^3 + 2z^3) + (3z^2 + z^2) + (8 - 3)
6z^3 + 4z^2 + 5
Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by:
![-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h](https://tex.z-dn.net/?f=-%5B3h%20%2B%207h%282-h%29%5D%20%3D%20-%5B3h%20%2B%2014h%20-%207h%5E2%5D%20%3D%20-%5B17h%20-%207h%5E2%5D%3D7h%5E2%20-%2017h)
It is similar to the denominator and the numerator
Answer:
Reflection across the x-axis followed by dilation by a scale factor of
with the center of dilation at the origin
Step-by-step explanation:
Rectangle EFGD has vertices at points E(-6,8), F(0,8), G(0,1) and D(-6,1).
1 transformation - reflection across the x-axis with the rule

So, the image rectangle E''F''G''D'' has vertices with coordinates
2 transformation - dilation by a scale factor of
with the center of dilation at the origin. This transformation has the rule

Thus,
These are exactly vertices of rectangle E'F'G'D'.