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
4p-13p-p=-150
-9p-p=-150
-10p=-150
<u>p=15
Order of operations. Doing so turns it into a simple division equation.</u>
It cost $156.40 because 20% of 195.50 is $39.10 so you subtract that from the 195.50.
Answer:
0.03
Step-by-step explanation:
Percentage of americans with diabetes = 10.5% = 0.105
Percentage of americans without diabetes = 89.5% = 0.895
Adults over 40 with diabetes tested positive = 95% = 0.95
Adults over 40 with diabetes tested negative = 5% = 0.05
Adults over 40 without diabetes tested positive = 3.5% = 0.035
Adults over 40 without diabetes tested negative = 96.5% = 0.965
The probability of selecting an adult over 40 without diabetes but positive diagnosis;
= 0.895 * 0.035
= 0.031325
= 0.03
