Simplifying-
(6d^2)(-7d)=
= -(42d^2)(d)
=-42d^3
The correct reason <span>for each step in the solution of the equation would be as follows:
</span>
12 − 5x + 6x = 4 - Given
12 + x = 4 - Combine Like Terms
x= −8 - Subtraction Property of Equality
Hope this answers the question. Have a nice day.
Answer:
x= -5
Step-by-step explanation:
Answer:
(0,5)
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.
Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.
The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).
Answer:
A) 10-14
B) 45
C) 6.7%
Step-by-step explanation:
A) The interval that contain the most values can be gotten by looking at the histogram and selecting the interval with the highest frequency. Hence the interval 10-14 contains the most values because it has a frequency of 20.
B)The total number of swimmers is gotten by summing all the frequency of each individual lap. Hence:
Total swimmers on team = 10 + 12 + 20 + 0 + 3 = 45 swimmers
C) The percentage of swimmers who swam more than 14 laps = (number of swimmers that swam more than 14 laps/total swimmers) * 100%
The percentage of swimmers who swam more than 14 laps = [(0 + 3)/45] * 100% = (3/45) * 100% = 6.7%
