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:
b/a
Step-by-step explanation:
Given,(b^-2)/a*(b^-3)
or,(b^-2+3)/a
or,b/a
Answer:
y = 5
Step-by-step explanation:
<u>Equation:</u>
m<DGF = m<DGE + m<EGF
<u>Given:</u>
m<DGF = 12y - 5
m<DGE = 5y + 6
m<EGF = 24
<u />
<u>Work:</u>
m<DGF = m<DGE + m<EGF
12y - 5 = 5y + 6 + 24
12y - 5 = 5y + 30
12y - 5y = 30 + 5
7y = 35
y = 5
The answer is C (10.89 m)
x * 9 = 98 m²
x = 98 ÷ 9
x = 10.888888 or 10.89 m
Even numbers on die: 2,4,6
odd numbers on die: 1,3,5
3+3=6 -> 6 numbers in total
3/6 chance because there are 3 even numbers. This would round to 1/2, so 1/2 a chance the die will roll an even number.
