A drink is made from 1.5 litres of orange juice and 7.5 litres of lemonade. What fraction of the drink is orange juice? (simplest form)

Explanation:

1.5 liters of orange juice

7.5 liters of lemonade

1.5+7.5 = 9 liters total

1.5/9 = 15/90 is the fractional amount of orange juice. Note how I multiplied top and bottom of the first fraction by 10 to get 15/90. This is the same as moving the decimal point 1 spot to the right for each value.

From here you divide both parts by the GCF 15 to reduce

15/15 = 1

90/15 = 6

Meaning 15/90 = 1/6

So 1/6 of the drink is orange juice.

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!