An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
Answer:
b=11
Step-by-step explanation:
4(b+24)=(12b+8)
4b+96=12b+8
-4. -4
96=8b+8
-8. -8
88=8b
88÷8=11
Answer:
The equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given
now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation
Therefore, the equation of the line is:
Given:
f(x) = 70n - 400 : equation for monthly profit.
n = number of students enrolled in the guitar class.
70 refers to the amount charged per student.
400 is the fixed expense made by the instructor.
For the instructor to have a profit, the product of 70n must be more than 400.
400/70 = 5.7 or 6
There must be at least 6 students enrolled in class for the instructor to generate profit.
f(x) = 70(6) - 400 = 420 - 400 = 20
1000 = 70n - 400
1000 + 400 = 70n
1400 = 70n
1400/70 = n
20 = n
There must be 20 students enrolled in class for the instructor to earn 1000 in profit.
1000 = 70(20) - 400
1000 = 1400 - 400
1000 = 1000
Answer:
Distributive Property of Multiplication
