The Greasy Spoon Restaurant offers 6 appetizers and 14
main courses. In how many ways can a person order a
two-course meal?
84
112
20
196

84 - if they can only have an appetiser and a main course

Step-by-step explanation:

We have 6 * 14 distinct combinations.

If we could also have 2 appetisers or 2 main courses, that brings us up to 316 combinations () - this is not an options so we do not need to consider this.

oof tough question

step-by-step explanation:

sorry i can't ya : c gl tho

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions