here's how you solve it
|3x+11| > 2
apply the absolute rule so you get two equations
3x+11 < -2 3x+11 > 2
in both equations subtract 11 from both sides
11-11 = 0 -2-11 = -13 11-11 = 0 2-11 = -9
this leaves you with
3x < -13 3x > -9
in both equations divide 3 on both sides
3x/3 = x -13/3 3x/3= x -9/3 = -3
and in the end you get
x < -13/3 or x > -3
Answer:
They add up to equal 90 degrees.
The answer is: x = 7 - √53 or x = 7 + √53
The general quadratic equation is: ax² + bx + c =
0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is
after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0
1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53
Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
Answer:
$725.95
Step-by-step explanation:
129.95 times 5 is 649.75
649.75 plus 76.20 = 725.95
