2. Consider the equation 3x2 - 13x - 30 = 0.
(a) Write the factored form of the trinomial.

(3x + 5)(x - 6) = 0 (Assuming 3x is to the power of two 3x^2)

Step-by-step explanation:

Factor out -13 from -13x

3x^2 - 13(x) - 30 = 0

Rewrite -13 as 5 plus -18

3x^2 + (5 - 18)x - 30 = 0

Apply the distributive property

3x^2 + 5x - 18x - 30 = 0

Now factor out the GCF (Greatest common factor)

To do so we will group the first two terms and last two.

(3x^2 + 5x) - 18x - 30 = 0

Then factor out the GCF from each group.

x(3x + 5) - 6(3x + 5) = 0

(3x + 5)(x - 6) = 0

-5/3  ,   6

Step-by-step explanation:

Quadratic Formula is
x = -b ± √(b^2 − 4ac))/(2a)

replace the letters with the values from the equation, and plug it in.

x = -(-13) ± √((-13)^2 − 4*3(-30))/(2(3))
    =
x = (13 ± 23) / 6

You may subtract or add the 13 and 23 for a valid answer, thus the two possible values are

-5/3

and

6

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest