Answer: a) = 10
b) = 16
Step-by-step explanation:
a) as x = 5 so putting the value of x in given equation
5 multiplied by 2 is equal to 10
b) Putting value of x in given equation
= (5 + 3) 2
According to BODMAS solve the brackets first
= 8 x 2
= 16
Answer:
y = 20x + 40
Step-by-step explanation:
Given that the rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental.
That means fixed one time cost is $40 which doesn't changes with time.
If number of days is represented by "x" then rental cost for "x" days will be 20 times x or just 20x.
So the final cost will be sum of fixed cost and the rental cost per day which is:
20x+40
Now if "y" represents total rental cost over time then final cost equation can be written as:
y = 20x + 40
Hence final answer is y = 20x + 40y = 20x + 40.
Answer:
Part A) The amplitude = 24
Part B) The period = 24
Part C) Vertical shift = 36
Step-by-step explanation:
The general equation of the sine function:
y = A sin (Bx) + C
Where A is the amplitude and B = 360°/Period and C is the vertical shift
See the attached figure which represents the graph of m and f(m)
So,
<u>Part A:</u>
The function has minimum at 12 and maximum at 60
The difference is = 60 - 12 = 48
So, The amplitude = 48/2 = 24
<u>Part B:</u>
Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.
We can deduce that the function completes one cycle within 24 months
So, the period = 24
<u>Part C:</u>
Vertical shift is obtained at m = 0
So, f(m) = 36
36 = A sin (0) + C
C = 36 ⇒ Vertical shift
So, The amplitude = 24
The period = 24
Vertical shift = 36