if alpha and beta are the roots of the equation 2 x square - 7 x - 3 is equal to 0 find alpha + beta

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.

(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.)

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: