Answer:
5
Step-by-step explanation:
<u>Given</u>:
A = (a, 14-a)
P = (3a, a^2 +13a -11)
the slope of AP is 7
a > 0
<u>Find</u>:
a
<u>Solution</u>:
The slope of AP is ...
m = (Py -Ay)/(Px -Ax)
7 = (a^2 +13a -11 -(14 -a))/(3a -a)
14a = a^2 +14a -25
25 = a^2
a = √25 = 5 . . . . . the positive solution
The value of 'a' is 5.
_____
<em>Check</em>
The point A is (a, 14-a) = (5, 9).
The point P is (3a, a^2 +13a -11) = (15, 79)
The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.
These are 3 questions and 3 answers.1) Find
Answer: 4.Explanation:The expression means the
limit as the function f(x) approaches 2 from the right.Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around
y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.Answer: 

To determine each limit you
use the function from the side the value of x is being approached.Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you
follow the line that ends with the open circle at (3, -1).Therefore, the limit is - 1.
The percent to 300 out of 12 is 144
Answer: 125
Step-by-step explanation:
Given that:
The principal = 15000
Rate = 10%
Years = 1 year = 12 month
Interest I = PRT/100
I = (15000 × 10 × 1)/100
I = 1500
The amount of interest expense that would they record in May will be
Interest = I/ 12 = 1500/12 = 125