Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a
2x^2 - 3x = 12
2x^2 - 3x - 12 = 0
a = 2
b = -3
c = -12
(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)
3 +/- sqrt( 9 + 96 ) / 4
3 +/- sqrt(105) / 4
Answers: 
, 
Hope this helps!
612.00 in scientific notation is 6.12×10^2
In similar triangles ratios of corresponding sides are constant, so
|AB|/|DE| = |BC|/|EF|
5/10 = 8/|EF|
|EF| = (8*10)/5 = 16
|EF| = 16
Answer:
D
-29
Step-by-step explanation:
Problem 1
In the first hour, the number of bacteria is 22
In the second hour,the number of bacteria is 44
It looks like the formula is some multiple of 22
That means you should pick D
Problem 2
n = 12
a = 15
d = - 4
an= 15 + (n - 1)*d
a12 = 15 + 11*(-4)
a12 = 15 - 44
a12 = - 29
The first thing I would probably do is distribute (multiply) the -5/2 into the parenthesis:
= (-5/2)x + (-20/2)
Notice how I am not putting the x into the fraction. This is to make it easier to see the slope-intercept form.
Lets simplify the (-20/2) and then add 7 to both sides:
y - 7 = (-5/2)x - 10
y = (-5/2)x - 3
Your answer would then be:
y = (-5/2)x - 3
y = mx + b
Since it is now in the requested format.
