Answer:
The domain is the set of real numbers. In interval form, the domain of f is (-00,000)
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
Just copie the picture
Answer:
(1, 10)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-5x + 6y = 55
4x + 3y = 34
<u>Step 2: Rewrite Systems</u>
4x + 3y = 34
- Multiply everything by -2: -8x - 6y = -68
<u>Step 3: Redefine Systems</u>
-5x + 6y = 55
-8x - 6y = -68
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: -13x = -13
- Divide -13 on both sides: x = 1
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 4x + 3y = 34
- Substitute in <em>x</em>: 4(1) + 3y = 34
- Multiply: 4 + 3y = 34
- Isolate <em>y</em> term: 3y = 30
- Isolate <em>y</em>: y = 10
Answer: The numbers are -3 and - 6
Step-by-step explanation:
Let the first number be x and the second number be y , then from the first statement we have
x + 3 = y ............. equation 1
From the second statement
2y = 3x + 12 ............ equation 2
solving the resulting simultaneous equation by substitution method ,we have:
substitute x - 3= y into equation 2 , we have
2( x + 3) = 3x + 12
2x + 6 = 3x + 12
2x - 3x = 6
x = -6
substitute x = - 6 into equation 1 , that is
- 6 + 3 = y
Therefore ,
y = -3
2y = 3y + 3
Check:
x + 3 = y , implies
-6 + 3 = -3 = y
Also 2y = 3x + 12 , implies
2(-3) = -6
3(-6) + 12 = -6