10x^4+ 7x^3-12x^2
= x^2(10x^2+ 7x- 12)
= x^2(10x^2 -8x+ 15x -12)
= x^2[ 2x(5x-4)+ 3(5x-4)]
= x^2(5x-4)(2x+3)
x^2(5x-4)(2x+3)= 0
⇒ x= 0
or 5x-4= 0
or 2x+3= 0
⇒ x= 0
or x= 4/5
or x= -3/2
The final answer is x= 0 or x= 4/5 or x= -3/2~
Answer:
4
Step-by-step explanation:
:)
Answer:
standard form to represent the situation equation is 5a + 4.75b = 72.50
Step-by-step explanation:
given data
selling popcorn = $5.00
hotdogs = $4.75
makes = $72.50
solution
we consider here number of bucket sold = a
and number of hotdogs sold = b
Then after 1 hour she makes $72.50
equation for number of popcorn and number of hotdogs sold after an 1 hour is express as
$72.50 = number of bucket sold × price of popcorn per bucket + number of hotdogs sold × price of hotdog ...............................1
put here value and we get
72.50 = 5 × a + (4.75) × b
5 a + 4.75 b = 72.50
so here equation is equivalent to the standard form in the linear equation that is express ( Ax + By = C )
and here A and B are non zero with A, B and C all three are real number
so standard form to represent the situation equation is 5a + 4.75b = 72.50