Answer:
x = ± 2i
Step-by-step explanation:
note that
= i
x² = - 12 ( take square root of both sides )
x = ±
= ±
= ± 2i
-22 is your answer because all you have to do is take 4 away from -18 and you get -22
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
A <u>function</u> is increasing when the <u>y-value increases</u> as the <u>x-value increases</u>.
A <u>function</u> is decreasing when the <u>y-value decreases</u> as the <u>x-value increases</u>.
From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:
- x-value -2 to -1 → increase
- y-value 2 to 0 → decrease
From x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:
- x-value -1 to 0 → increase
- y-value 0 to 2 → increase
From x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:
- x-value 0 to 1 → increase
- y-value 2 to 8 → increase
Answer:
(-2, -8)
x = -2
y = -8
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
Step-by-step explanation:
<u>Step 1: Define systems</u>
13x - 6y = 22
x = y + 6
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 13(y + 6) - 6y = 22
- Distribute 13: 13y + 78 - 6y = 22
- Combine like terms: 7y + 78 = 22
- Isolate <em>y</em> term: 7y = -56
- Isolate <em>y</em>: y = -8
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 6
- Substitute in <em>y</em>: x = -8 + 6
- Add: x = -2