Gerald can complete a math assignment in 2 hours and a physics assignment in 1 hour. if he has 8 hours to complete a set of assignments, how many math assignments can he complete if he decides to leave the science assignments for the next day? this situation is given by 2x + y = 8, where x is the number of completed math assignments and y is the number of completed science assignments. (x 0, y 0, x and y take only integer values).
suggestions:

4 exercises.

Step-by-step explanation:

We know that Gerald has 8 hours to complete a set of assignments if x is the number of math assignments and y is the number of physics assignments, we need to solve the equation:

2x + y = 8

Now, we know that Gerald decides to leave the science assignments for the next day, so on this first day we do not have physics assignments, which implies that y = 0

So now we have the equation 2x = 8

x = 8/2 = 4

x = 4

So we the maximum number that Gerald can complete in 8 hours is equal to 4 (in the situation in which he left the science assignments for the other day)

b

step-by-step explanation:

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: