Answer:
The answer to your question is the letter B. 5y³ - 18y² + 29y - 12
Step-by-step explanation:
Data
(y² - 3y + 4)(5y - 3)
Process
1.- Multiply the first terms by 5y
(y² - 3y + 4)(5y) = 5y³ - 15y² + 20y
2.- Multiply the first terms by -3
(y² - 3y + 4)(- 3) = -3y² + 9y - 12
3.- Simplify like terms
5y³ - 15y² + 20y -3y² + 9y - 12 = 5y³ + (-15y² - 3y²) + (20y + 9y) -12
4.- Result
= 5y³ - 18y² + 29y - 12
Each flow element requires a test gauge ---> 32*80 = $2560
Each flow element needs total of 6 feet of tubing ----> 32*6 = 192 ft
price per foot = 6/100 = $.06
-----> 192*.06 = $11.52
Each 3-ft length of tubing requires 2 connectors. ----> (192/3)*2 = 128
-----> 128*2.5 = $320
Total Cost = 2560 + 11.52 + 320 = $2891.52
Subtract from budget:
3000 - 2891.52 = $108.48
The answer is 11 because if you plug in -2 you first multiply the -4 and-2 which is 8.
Answer:
2 real solutions
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ), then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct solutions
• If b² - 4ac = 0 then 2 real and equal solutions
• If b² - 4ac < 0 then no real solutions
x² + 4x - 3 = 0 ← is in standard form
with a = 1, b = 4, c = - 3 , then
b² - 4ac = 4² - (4× 1 × - 3) = 16 - (- 12) = 16 + 12 = 28
Since b² - 4ac > 0 then the equation has 2 real and distinct solutions
Answer:
i will do it :)
Step-by-step explanation:
