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:
18x² - 6x
Step-by-step explanation:
Differentiate using the product rule, that is
y = f(x)g(x), then
= f(x)g'(x) + g(x)f'(x)
here
f(x) = 3x² ⇒ f'(x) = 6x
g(x) = 2x - 1 ⇒ g'(x) = 2, thus
(3x²(2x - 1)
= 3x² × 2 + 6x(2x - 1)
= 6x² + 12x² - 6x
= 18x² - 6x
Answer:
$243.92 for 8 is cheaper
Step-by-step explanation:
To find the unit price for the 6 shirts you would do 188.94 divided by 6.
To find the unit price for the 8 shirts you would do 243.92 divided by 8
for 6 shirts it's: $31.49/shirt
for 8 shirts it's: $30.49/shirt
Answer:
8×4
Step-by-step explanation:
(3×8)×4=3× d
the only answer choice that matches is the first answer choice
8×4
Just fill in the problem... 3*-2-1-3*-2