the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0
13x^2-16x = x^2 -x
we need to get in it the standard form
subtract x^2 from each side
12x^2 -16x = -x
add x to each side
12x^2 -15x = 0
12x^2 -15x -0 =0
a=12 b=-15 c=0
b^2 -4ac
the discriminant = b^2
b^2 = (-15)2 = 225
Add sin(x) to both sides
tan(x)sin(x)=sin(x)
Divide sin(x) from both sides
tan(x)=1
now you just have to figure out where tan(x)=1. you can figure this out from there by looking at the unit circle.
Answer:
Step-by-step explanation:
Givens
d = 3"
h = 1 inch
pi = 3.14
Formula
V = pi r^2 h
Solution
r = d/2
r = 3/2 = 1.5
V = 3.14 * 1.5^2 * 1
V = 3.14 *2.25
V = 7.065
No, if you multiply the factors in 3(5b-2) the equivalent expression would be 15b-6
Answer:
the absolute value inequality in the form |x-b|c that has the solution set x≤−9 or x≥−5. lol jk
Step-by-step explanation:
|x−b|=c
Since we need three conditions that need to be met, we will opt for presenting three different expressions as a solution.
Case 1
One solution: x=−9
One expression that satisfies this condition is
(c = 0, b = -9 )
|x + 9|=0
|-9 + 9|=0
Case 2
All numbers such that x≤5
The solutions that satisfy this case can be found in the attached picture below, (they were obtained with a mathematical solver.)
Case 3
All numbers such that x≤-14
i pretty sure this is it.