Answer:
The result of the division of a number by a fraction is larger than the fraction.
Step-by-step explanation:
Here,we note that value Parker divided by 0.6. =1.02
Written down result of the division = 1.02/0.6 = 0.17
However, since the numerator is 1.02, then the result of dividing it by a fraction should yield a higher number instead of 0.17
Therefore we check as follows
1.02/0.6 = 1.7
The error is apparently due to dividing 1.02 by 6 rather than 0.6
Answer:
(3x + 5)(9x^2 - 15x + 25)
Step-by-step explanation:
27x^3 + 125
= (3x)^3 + 5^3
= (3x + 5) ((3x)^2 - (3x)(5) + 5^2)
= (3x + 5)(9x^2 - 15x + 25)
FYI: a³ + b³ = (a + b)(a² – ab + b²)
Answer: Draw a line through the two points (0,2) and (3,3). See the attached image below.
How did I get these two points? The first point comes from the fact that "at the start, the height is 2 inches" meaning that x = 0 hours and y = 2 inches pair up together. This is show as point A. This is the y intercept as this is the location where the blue graph crosses the vertical y axis.
Point B is found by moving 1 unit up from point A and 3 units to the right to land on (3,3). So we have x = 3 hours and y = 3 inches pair up together.
Note: the slope is rise/run = 1/3 helping us determine the unit rate or speed in which the water is rising (ie the water is rising one-third of an inch per hour)