Sam's test score is 12.5 more than nicole's score. the sum of twice sam's score and three times nicole's score is 195. write two equations. what are sam and nicole's test scores?

Sam's test score is 46.5 and Nicole's score is 34.

Step-by-step explanation:

Let Sam's test score be

and

Nicole's score be .

Then the relation is that,

The sum of twice Sam's score and three times Nicole's score is 195 gives the equation,

We put equation (1) into equation (2) to get,

We expand to get,

We group like terms to get,

We divide both sides by 5 to get,

We put the value of into equation (1) to get,

Therefore Sam's test score is 46.5 and Nicole's score is 34.

answer: 7270

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.