Hi there!
To simplify this equation we first need to distribute.
(3)(4x) + (3)(6) + - 9x
= 12x +18 + - 9x
Next, combine like terms.
= 12x + 18 + - 9x
= (12x + - 9x) + (18)
= 3x + 18
In simplified form, 3 (4x + 6) - 9x is 3x + 18.
Hope this helps!
For this case what we should do is take into account the following vectors:

We must find the following subtraction of vectors:

Subtracting component to component we have:

By writing we have:

Then the module of the resulting vector is given by:

Rewriting we have:

Answer:
The module of the resulting vector is given by:

option B
$46 with 2.9% tax is:
($46 * 0.029) + $46 = $47.334
2.9% is the same as 0.029, since % means divide by 100 (move decimal 2 places to the left).
You first multiply by 0.029 to see how much the tax is, then you add back the original $46.
Answer:
750 ft²
Step-by-step explanation:
.Given :
Charge per ft² = 50¢ = $0.5
Total cost = ((charge per ft² * number of ft²) + cost of paint)
Given that :
Paint cost = $100
Total cost = $475
Number of ft² = x
Plugging values into the equation :
475 = (( 0.5 * x) + 100)
475 = 0.5x + 100
475 - 100 = 0.5x
375 = 0.5x
x = 375 / 0.5
x = 750 ft²