Answer:
x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-2(x - 4) = -16
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -2: -2x + 8 = -16
- Isolate <em>x</em> term: -2x = -24
- Isolate <em>x</em>: x = 12
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: -2(12 - 4) = -16
- Subtract: -2(8) = -16
- Multiply: -16 = -16
Here we see that -16 does indeed equal -16.
∴ x = 12 is a solution of the equation.
Answer:
Step-by-step explanation:

Answer:
C) 2400
Step-by-step explanation:
Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
Computers = 10
Printers = 3
Scanners = 5
Telephone = 8
Copiers = 2
Possible outcome = 10 x 3 x 5 x 8 x 2 = 2400
Answer:
c = 8
Step-by-step explanation:
Use synthetic division here; it's the fastest approach.
Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:
-2 4 c 1 2
-8 (-2c+ 16) (4c-34)
---------------------------------------------
4 (c - 8) (-2c + 17) 4c - 32
The remainder, 4c - 32, must equal zero if (x + 2) is a factor.
Then 4c - 32 = 0, and c = 8
Answer:
-14
Step-by-step explanation:
8x-y²-3
8(-1/4) - (3)² - 3
-2 - (9) - 3
= -14