Answer:
Step-by-step explanation:
Given that,
|P| = 2x / 5 + 1
|Q| = x + 1
|P+Q| = 3x + 2
We know that, from Cauchy inequalities
|P| + |Q| > |P+Q|
(2x / 5) + 1 + x + 1 > 3x + 2
(2x / 5) + 2 + x > 3x + 2
Multiply through by 5
2x + 10 + 5x > 15x + 10
Collect like terms
2x + 5x - 15x > 10 -10
-8x > 0
Then,
Divide both side by -8, since we are dividing with a negative number the inequality sign will change
Then,
x < 0 first condition
Note that,
|P| > 0
Then,
2x / 5 + 1 > 0
2x / 5 > -1
2x > -5
x > -5/2
Also,
|Q| > 0
x + 1 > 0
x > -1
Also
|P+Q| > 0
3x + 2 > 0
3x > -2
x > -2 / 3
So, comparing the four conditions
We see that x ranges from -5/2 to 0, this range covers all the other ranges
(-5/2, 0)
The first answer is correct
Answer:
The correct option is A.
Step-by-step explanation:
The given equation is
Put x=0, in the given equation.
The y-intercept is (0,32).
Put y=0, to find the x-intercept.
Therefore the y-intercepts are (-4,0) and (8,0).
The vertex of a parabola 
is
Put x=2 in the given function.
The vertex is (2,36).
Therefore option A is correct.
Answer:
x = 11°
Step-by-step explanation:
3x + 19 + 2x + 8 = 7x + 5
5x + 27 = 7x + 5
27-5 = 2x
22/2 = x
11 = x
There is not enough information here to answer it... Where is the rest of the question?
Answer:
x=10/3
Step-by-step explanation:
hope that helps
