On Monday, Sam spent 3 and a half hours studying. On Tuesday she spent 1 and 4 fifths of an hour studying, what is the combined time she spent studying?

she spent studying 5 3/10 hours

Step-by-step explanation:

We know that Sam spent 3 and a half hours studying on Monday, and that he spent 1 hour and 4 fifths studying on Tuesday.

to know the total number of hours we simply have to add these 2 amounts

3 1/2 + 1 4/5 =

In order to make the sum we have to find a common denominator between the 2 fractions

to know the common denominator we are going to multiply both denominators

2 * 5 = 10

10 is the common denominator between 2 and 5 that we are going to use, now we only have to express those fractions with a denominator of 10

1 / 2 = (1 * 5) / (2 * 5) = 5 / 10

4 /5 = (4 * 2) / (5 * 2) = 8 / 10

now we replace our fractions with these equivalent fractions

3 1/2 + 1 4/5 =

3 5/10 + 1 8/10 = 4 13/10 = 5 3/10

she spent studying 5 3/10 hours

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph