• Use slope to graph linear equations in two variables.
• Find the slope of a line given two points on the line.
• Write linear equations in two variables.
• Use slope to identify parallel and perpendicular lines.
• Use slope and linear equations in two variables to model and solve real-life problems.
2
If the perimeter is 98 cm, the sum of the lengths of two adjacent sides is 49 cm.
... (2x -1) + (3x +5) = 49 . . . . use the given information and relation
... 5x +4 = 49 . . . . . . . . . . . simplify
... 5x = 45 . . . . . . . . . . . . . . . subtract 4
... x = 9 . . . . . . . . . . . . . . . . . divide by 5
The left side dimension is then
... 2x -1 = 2·9 -1 = 17 . . . . cm
The top dimension is
... 3x +5 = 3·9 +5 = 32 . . . . cm
The rectangle is 17 cm by 32 cm.
Answer:
a. Qualitative.
b. Qualitative.
c. Quantitative.
d. Quantitative.
e. Qualitative.
Step-by-step explanation:
a.
Favorite color can be classified into different categories such as blue,orange, white etc, so, favorite color is a qualitative variable.
b.
Current Occupation can be classified into different categories such as teacher, lawyer and doctor etc, so, current occupation is a qualitative variable.
c.
Number of extra credit problems solved can be meaningfully presented as numerical figures so, number of extra credit problems solved is a quantitative variable.
d.
Number of students in class can be meaningfully presented as numerical figures so, number of of students in our class is a quantitative variable.
e.
Exam Grades can be classified into different categories such as A, B and C etc, so, exam grades is a qualitative variable.
Answer:
x > 56
Step-by-step explanation:
x/8 - 13 > -6
x/8 > 7
x > 56
Price for every 6 weeks= $ 156
Price for 1 week = 156/6 = $ 26
Assuming there are approximately 52 weeks in a year
Price for lessons per year = 26*52
= $1352
