Expand the expression using the binomial theorem and pascal's triangle: (3x-1)^3

answer:

acute angle

step-by-step explanation:

an angle of less than 90 degrees is acute

exactly 90 degrees is a right angle

more than 90 degrees is an obtuse angle

answer:

48 cups

step-by-step explanation:

the first 2 cups of raisins goes into 12 cups of trail mix.

the next ones are as follows:

4 cups of raisins for 24 cups of trail mix

6 cups of raisins for 36 cups of trail mix

8 cups of raisins for 48 cups of trail mix

they both double each time a new bathc is made.

answer:

thus, the two root of the given quadratic equation is 5.24 and 0.76 .

step-by-step explanation:

consider, the given quadratic equation,

this can be written as ,  

we have to solve using quadratic formula,

for a given quadratic equation we can find roots using,

  )

where,   is the discriminant.

here, a = 1 , b = -6 , c = 4

substitute in (1) , we get,

and

we know (approx)

substitute, we get,

(approx) and (approx)

(approx) and (approx)

thus, the two root of the given quadratic equation is 5.24 and 0.76 .