46
I believe this is correct, if not lmk!
Answer:
y = 3x - 2
Step-by-step explanation:
The equation is linear and expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given (0, - 2 ) then c = - 2
Calculate the multiplier using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table
m =
= 3, hence
y = 3x - 2 ← equation relating x and y
This is because logarithm has its own set of properties that is different from algebra. The term log(3x - 1) is equivalent to log 3x/log 1. If we continue to rearrange and find x, the solution would be:
log(3x - 1) = log28
log 3x/log 1 = log 28
log 3x = log 28 * log 1 = 0
3x = 10⁰ = 1
3x = 1
x = 1/3
<em>So, that means 3x - 1 = 3(1/3) - 1 = 0.</em>
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