x = or x = -
consider the factors of the product 6 × - 4 = - 24 which sum to the coefficient of the x- term ( + 5)
the factors are + 8 and - 3 ( split the middle term using these factors
6x² - 3x + 8x - 4 = 0 ( factor by grouping )
3x(2x - 1) + 4(2x - 1 ) ( take out common factor of (2x - 1) )
= (2x - 1)(3x + 4) = 0
equate each factor to zero and solve for x
2x - 1 = 0 ⇒ x =
3x + 4 = 0 ⇒ x = -
Answer:
x^2 + 8x + 16
Step-by-step explanation:
Given length of square x + 4.
Area of square with side S is given by .
Therefore are of square with side x + 4 is given by
Area of square =
Thus, x2 + 8x + 16 expression represents the area of a fabric square.
Answer:
D. 75m = 50(12)+125(m-12)
Step-by-step explanation:
m = months.
Equation for which Plans A and B cost the same.
In Plan A:
No initial fees.
$75 per month
1 month = $ 75
then;
for m month =$75 m
Total cost for plan A = 75m
In Plan B:
$50 per month for first 12 month.
1 month = $50
12 months = 50(12)
Similarly,
$125 per month for each additional month after that.
additional month= (m-12)
Plan B additional month
= 125(m-12)
Total cost for plan B = 50(12)+ 125(m-12)
Since, Plans A and B cost the same.
75m = 50(12)+125(m-12)
