Answer:
1.15p - d
Step-by-step explanation:
The cost now is
p
With the 15% increase, the cost next year is
p + 15% of p =
= p + 0.15p
= 1.15p
With the discount of d dollars, the new rate will be
1.15p - d
Answer:
500
Step-by-step explanation:
brainliest pls
Answer:
(a) The time to complete 1 cycle and return is 16/3
(b) The minimum height is 30 inches and the maximum is 54 inches
Step-by-step explanation:
Given

Solving (a): Time to complete 1 cycle and return
This implies that we calculate the period. This is calculated using:

Where:

So, we have:



Solving (b): The maximum and the minimum height
To do this, we have:
Which means:

So, the minimum is:

And the maximum is:

Recall that the height is:
So, the maximum and the minimum of are:


and
Answer:
5. -5x - 1
6. -x - 4
Step-by-step explanation:
5.
Distribute (get rid of parentheses):
-5x - 1
6.
Distribute (get rid of parentheses):
-x - 4
First of all, observe that the graphed function is
.
Now, if we want to shift the graph 4 units up, it means that we want each point on the graph enlarge its y coordinate by 4: we no longer want to associate

but

And since
, we want to map

And in our case,
, so the answer is
