The inverse of a conditional statement is "if a number is negative, then it has a negative cube root.” what is the contrapositive of the original conditional statement?

''If a number has a negative cube root, then  number is negative''.

Step-by-step explanation:

We are given that

Inverse of conditional statement

''If a number is negative, then it has  a negative cube root.''

We have to find the contrapositive of the original conditional statement.

Conditional statement: If p then q.

Inverse statement: If, then

Contrapositive :If , then

Therefore, contrapsotive statement of original conditional  statement is give by

''If a number has a negative cube root, then  number is negative''.

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

d

because parallelagram have all 4 angels the same size dependeing and a rectangle and square are oth parallelogram