Answer:
The answer is
<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>
Step-by-step explanation:
(3x + 2)⁴
<u>Using the Pascal's triangle</u>
For an exponent of 4 we have
( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³
Using a = 3x and b = 2 we have
( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴
Expand and simplify
That's
➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16
➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16
We have the final answer as
<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>
Hope this helps you
1. What is the unit rate for each size of peanut butter?Regular: $16 per ounceFamily size: $40 per ounce
2. Which size is the better buy?The family size is the better buy.
● To do this, you need to multiply 6.75 by 21 to find out how many meters are in all. 6.75×21 is 141.75
● Next you multiply 141.75 by 2 to see how much it costs which is 283.5
● Since we're dealing with money, it would have two place values so we add a zero and we get $283.50
Move all the logarithms on the left hand side, and all the constants on the other:

Use the rule of logarithms

To rewrite the equation as

Evaluate 2 to the power of each side:

Multiply both sides by 2x:

Answer:
Solution:
the boat's speed in still water: x
The speed with current: (x+3)
The speed against current: (x-3)
The equation is
3(x+3) = 4(x-3)
x = 21 mph
The distance = 3*(21+3)= 72 miles
I choose (A)
Step-by-step explanation: