Answer:
Step-by-step explanation:
4x + 3y = 24
4x - y = 8
4x + 3y = 24
-4x + y = -8
4y = 16
y = 4
4x - 4 = 8
4x = 12
x = 3
(3, 4)
Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change = 
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change = 
= 
= 30
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

well then therefore

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

Area of the board divided by the time
2 x 3 = 6ft^2
15/6= 2.5mins
Answer: The number is 15
Step-by-step explanation: basically the equation you should solve is
(x)+(2x)+(2x+7)=82
5x+7=82
5x= -7+82
5x=75
5/5x=75/5
x=15