Only the coefficients change, not the exponents when adding
-8n^2 + n + 1
Answer:
z ≥ 2
Step-by-step explanation:
Step 1: Write inequality
-7z - (-5z - 4) ≤ -3z - 2 + 4z
Step 2: Solve for <em>z</em>
- Distribute negative: -7z + 5z + 4 ≤ -3z - 2 + 4z
- Combine like terms: -2z + 4 ≤ z - 2
- Add 2z to both sides: 4 ≤ 3z - 2
- Add 2 to both sides: 6 ≤ 3z
- Divide both sides by 3: 2 ≤ z
- Rewrite: z ≥ 2
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - y + 12 = 0 ( subtract 3x + 12 from both sides )
- y = - 3x - 12 ( multiply through by - 1 )
y = 3x + 12 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , thus
y = 3x + c ← is the partial equation
To find c substitute (2, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 3x - 1 ← equation of parallel line
Answer:
top row: 80, 160, 240, 320, 400, 800
bottom row: 4, 8, 12, 16, 20, 40
Step-by-step explanation: