Answer:
A)29 and B) 21,
Step-by-step explanation:
First,in the sequence
, the parameter 
must to be a integer.
Second, we need to solve the equations by .
All the option in the problem represent an 
Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.
For A)
For B)
For C)
For D)
Only A) and B) only A and B meet the requirement
The coordinates for D are (-4, -7)
First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint.
x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4
y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1
Therefore B must be (-4, 1)
Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages.
x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4
y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7
So the coordinates for D must be (-4, -7)
Answer:
x² - 30 + 5x
Step-by-step explanation:
(x + 5)(x − 5)
=x(x − 5)+5(x − 5)
=x² - 5 + 5x - 25
=x² - 30 + 5x
This function would have a maximum.
Since we are subtracting by a -4 for each increase in x, we know that the numbers will continue to go down. Given this fact, we know the number will never be higher than when we started, but the number could go infinitely low. As a result we have a maximum and no minimum.
Answer:
The answer to your question is 0 < x ≤ 3/14
Step-by-step explanation:
Here are the steps to solve it.
First, you need to solve your inequality step-by-step:
3/x −2 ≥ 12
-2x + 3/x = ≥12
Next, find the critical points of the inequality:
2x + 3/x = 12
−2x + 3 = 12x (Multiply both sides by x)
−2x + 3 − 12x = 12x − 12x (Subtract 12x from both sides)
−14x + 3 = 0
−14x + 3 − 3 = 0 − 3 (Subtract 3 from both sides)
−14x = −3
-14x/ -14 = -3/ -14 (Divide both sides by -14)
So, that gives you your answer:
x = 3/14
