At a fall festival, a student council sold two types of drinks; hot chocolate and apple cider. the student council earned $1.25 for every cup of hot chocolate it sold and $0.75 for every cup of apple cider it sold. there were 375 cups of drinks sold and the total amount of money earned was $393.75. the following system of equations can be used to represent the situation: x + y =375 and 1.25x + 0.75y = 393.75 what does the variable x represent in this system of equations? a. the number of dollars earned from selling one cup of hot chocolate. b. the number of dollars earned from selling one cup of apple cider. c. the number of cups of hot chocolate sold. d. the number of cups of apple cider sold.

We are given

The student council earned $1.25 for every cup of hot chocolate it sold

and $0.75 for every cup of apple cider it sold

total number of cup is 375

we have equation as

The above equation is of total cost equation

We can see that first term is 1.25x

and we have

The student council earned $1.25 for every cup of hot chocolate

so, to find total cost of hot chocolate , we multiplied 1.25 with x

that's why

x must be the number of cups of hot chocolate sold

Hence,

option-C........Answer

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

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.