Answer:
(-2, 6)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
4x - 2y = -20
7x + 2y = -2
<u>Step 2: Rewrite systems</u>
4x - 2y = -20
- Add 2y to both sides: 4x = 2y - 20
- Divide 4 on both sides: x = 1/2y - 5
<u>Step 3: Redefine systems</u>
x = 1/2y - 5
7x + 2y = -2
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 7(1/2y - 5) + 2y = =-2
- Distribute 7: 7/2y - 35 + 2y = -2
- Combine like terms: 11/2y - 35 = -2
- Add 35 to both sides: 11/2y = 33
- Isolate <em>y</em>: y = 6
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: 7x + 2y = -2
- Substitute in <em>y</em>: 7x + 2(6) = -2
- Multiply: 7x + 12 = -2
- Subtract 12 on both sides: 7x = -14
- Divide 7 on both sides: x = -2
<u>Step 6: Graph systems</u>
<em>Check the system.</em>
Answer:
The family formed by these numbers is 3x where x is any integer number.
Step-by-step explanation:
We have been given 3 9 12
We can see that given numbers are multiple of 3 so, we can say that the given numbers are from the family of 3x
Where x is any integer number when multiplied by 3 will give the multiple of 3.
Given:

To multiply the two polynomials using the distributive property, we first follow the rule shown below:
For: (a+b)(c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd
We let:

Now, we plug in what we know:

Therefore, the answer is:
Answer:
30 mins
Step-by-step explanation:
if you add 10 mins to 2:50, it makes it 3:00, then you just add the 10 mins + the 20 mins (after 3pm) and you get 30