Step-by-step explanation:
x²+2x-3=0
(x²+3x)-(x-3)=0
x(x+3)-1(x+3)=0
(x-1)(x+3)=0
x=1 or x=-3
The answer is
-5/8+9/2=3 7/8 or 31/8
so you should put 31 in the green box
No, you do not capitalize "is" after "!" unless you are forming a new and complete sentence.
Do not capitilize:
"Hello!" is okay to say.
Capitilize:
"Hello!" Is she okay, she has never greeted us before...
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
