Answer:
2x² - 9x - 35
Step-by-step explanation:
f(x) × g(x) = (x - 7)(2x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 5) - 7(2x + 5) ← distribute both parenthesis
= 2x² + 5x - 14x - 35 ← collect like terms
= 2x² - 9x - 35
Answer:
48 dollars.
Step-by-step explanation:
If Mr. George starts with 42, and adds 6, his new balance should equal 48 because you add the two numbers.
Answer: 16
Solution:
1) Use letters to identify the variables:
Number of trumpets: t
Number of clarinets: c
2) Translate each statement into algebraic (mathematical) language.
2.1) Sold a total of 27 used trumpets and clarinets
=> t + c = 27
2.2) Trumpets cost $149 and clarinets cost $99
Total cost of the trumpets: 149t
Total cost of clarinets: 99c
Total cost = 149t + 99c
2.3) Total sales were $3223
=> 149t + 99c = 3223.
3) State the system of equations:
Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223
4) Solve the system of equations:
4.1) Multiply equation 1 by 149:
=> 149t + 149c = 4023
4.2) Subtract the equation (2) from the equation obtained in 4.1
=> 149c - 99c = 4023 - 3223
=> 50c = 800
=> c = 800 / 50 = 16
5) Verify the solution:
From equation (1) t = 27 - 16 = 11
Total cost = 149*11 + 99*16 = 3223
Now you have a verified answer: they sold 16 clarinets
Answer:
42.191
Step-by-step explanation:
Punch it in the calculator and round the decimal from 42.1911 to 42.191
