Answer:
Values for alpha and beta are 0.5 and 3.
Step-by-step explanation:
2x² - 7x - 3 = 0
2x² - 7x - 3 = (2x - 1 )(x - 3)
∴ (2x - 1 )(x - 3) = 0
The only way to get zero by multiplying two values together, is if one of those values is qual to zero. Therefore, either (2x - 1 )=0, or (x - 3)=0.
If (2x - 1 )=0
∴2x=1
∴x=0.5
If (x - 3)=0
∴x=3
We have two values for x. These values represent alpha and beta.
<em>(BTW - I'm not sure from the phrasing of your question whether or not you just want to find the values or whether you want to find the sum of the values (I don't know if you used '+' to mean 'and' or 'plus'), but if you do want to find the sum, it's of course just 0.5+3= 3.5.)</em>
V = s²h
<span>150 = s²h </span>
<span>150 = s²(3/2)s </span>
<span>(2/3)150 = s³ </span>
<span>100 = s³ </span>
<span>s = ∛100 (approx 4.642 in) </span>
G(-8)=(-8)^2-5(-8)
=64+40
g(-8)=104
Answer:
You have to eliminate one of the variables when the equations are added.
A) x + 2y + z = 10
B) 2x -y +3z = -5
C) 2x -3y -5z = 27
We mulutiply A) by 2 then add it to B and C
A) 2x + 4y + 2z = 20 and the sum =
6x = 42 Luckily, the "y" and "z" variables cancel out and we find:
x = 7
Then we use x =7 in calcucating equation A) and B)
A) 2y + z = 3
B) -y + 3z = -19
THEN solve for y and z by eliminating variables.
Step-by-step explanation:
Only 19 is a function because a function only has one y value for every x value. For the other graphs, there are at least two y values for each x value.