Answer:
the answer is that both x and y are acute
Answer:
We can find if a critical point is a local minimum or maximum by looking at the second derivatives.
Step-by-step explanation:
If you take the first derivative, you will find the slope at the given point, which if it is a minimum or a maximum will be 0.
Then we take the second derivative. If that number is a positive number, then we have a local minimum. If it is a negative number, then it is a local maximum.
Answer:
The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.
Step-by-step explanation:
We are looking for a function that has the following points:
B(0) = 1500
B(4) = 1200
B(7) = 975
Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:
B(t) = -75*t + 1500
To check if this expression is valid, we will apply the values provided on the problem:
B(0) = -75*0 + 1500 = 1500 (valid)
B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)
B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)
When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:
B(t) = -75*t + 1500 = 0
-75*t + 1500 = 0
75*t = 1500
t = 1500 / 75 = 20 months
It'll take her 20 months to pay the loan.
Answer:
The midpoint is;
(-1,-0.5)
Step-by-step explanation:
To do this, we shall use the midpoint formula
That would be;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (-9,-1)
(x2,y2) = (7,0)
(x,y)
= (7-9)/2 , (0-1)/2
= -2/2 , -1/2
= (-1, -0.5)
(24-x)/8=x/6
or 24-x=4x/3
24(3)-3x=4x
24(3)=7x
24(3)/7=x
