The lp relationships that follow were formulated by richard martin at the long beach chemical company. maximize 8x1 + 0.5x1 x2 + 5x3subject to: 1x1 x2 + 2x3 ≤ 70 (c1)10.9x1 - 4x2 ≥ 156 (c2)5x1 + 3x2 + 3x3 ≥ 21 (c3)16x2 - 0.33x3 = 17 (c4)-7x1 - x2 + 4x3 = 5 (c5)1x1 + 2x2 + 3squareroot of x3 ≤ 80 (c6)for an lp, the objective function developed by richard is valid or invalidconstraint c1 is(n) valid or invalidconstraint c2 is(n) valid or invalidconstraint c3 is a(n) valid or invalidconstraint c4 is a(n) valid or invalidconstraint c5 is a(n) valid or invalidconstraint c6 is a(n) valid or invalid

step-by-step explanation:

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years