Answer:
Part A)
Part B)
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Part A) Determine the slope for the line that passes through the points (3,5) and (−1,−7)
substitute the values in the formula
Part B) Determine the slope for the line that passes through the points given by the table of values
Looking at the given table, take two points
(0,-5) and (2,-3)
substitute the values in the formula
5/6, 7/9, 3/5 make all have a common denominator of the LCM, 90 in this case:
(5/6)(15/15), (7/9)(10/10), (3/5)(18/18)
75/90, 70/90, 54/90
So now it should be clear which fraction are greater than others...
3/5, 7/9, 5/6 (from least to greatest)
About half of the Pizza is left
Explanation
By subtracting what Marcy ate, i.e 2/9 of 2/3, we get 14/27 to be the remaining pizza. This is about half
Answer:
a = 3, b = - 7
Step-by-step explanation:
Substitute x = 2 into the equation and equate to 5, that is
a(2)² + b = 5
4a + b = 5 → (1)
Substitute x = 3 into the equation and equate to 20
a(3)² + b = 20
9a + b = 20 → (2)
Subtract (1) from (2) term by term to eliminate b
(9a - 4a) + (b - b) = (20 - 5), that is
5a = 15 ( divide both sides by 5 )
a = 3
Substitute a = 3 into either of the 2 equations and solve for b
Substituting in (1)
4(3) + b = 5
12 + b = 5 ( subtract 12 from both sides )
b = - 7