Answer:
3(4x - 1)(2x + 3)
Step-by-step explanation:
Rearrange the equation into standard form
Subtract 9 - 30x from both sides
24x² + 30x - 9 = 0 ← in standard form
Take out 3 as a common factor
3(8x² + 10x - 3) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 8 × - 3 = - 24, sum = 10
The factors are - 2 and + 12
Use these factors to replace the x- term, that is
8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )
2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)
(4x - 1)(2x + 3)
24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form
Answer:0.2 gallons and 1.6 pints
Step-by-step explanation:
1 gallon = 8 pint
1 gallon / 5=0.2 gallon
8 pint / 5=1.6 pint
Y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
- 31/4 = b....or - 7 3/4 = b
so ur equation is : y = 3/4x + (-31/4) or y = 3/4x - 31/4
Answer:
80 cm
Step-by-step explanation:
To find the length of both segments together, convert the lengths into one unit measure. Convert 500 mm into centimeters by dividing it by 10. 500/10 = 50 cm. Now add 30 + 50 = 80 cm. The segment is 80 cm long.
Answer:
380
Step-by-step explanation:
7 x 40 = 280 + C = 380
C = Commision
500 x .2 = 100
C = 100
