The pattern is +4.
The rate of change is 4.
Equation: y=4x+6
Thanks for requesting me to answer! I am not sure what the difference between pattern and rate of change is but I hope this helps.
Answer:
Solution: x³ + 3x² + 3x + 1
Step-by-step explanation:
Take a look at the following Pascal's Triangle:
(x + y)⁰ = 1
(x + y)¹ = 1x + 1y
(x + y)² = 1x² + 2xy + 1y²
(x + y)³ = 1x³ + 3x²y + 3xy² + 1y³
(x + y)⁴ = 1x⁴ + 4x³ + 6x²y² + 4xy³ + 1y⁴
As you can see our binomial is '(x + 1)³.' Therefore we expand the expression with respect to the third row in the Pascal's Triangle, (x + y)³ = 1x³ + 3x²y + 3xy² + 1y³. The procedure would be as follows:
(x + 1)³ = 1x³ + 3(x)²1 + 3x(1)² + 1(1)³ = x³ + 3x² + 3x + 1
Answer:
<em>x</em> = 28 Hours
Step-by-step explanation:
if you start with 20 bags done then you take that away from the 1000 and you have 980. Then you do 35x <em>x </em>or 35x28 = 980.
<span>
<span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>
<span><span>2n = -3m + 280
</span>
</span><span>n = -3/2
m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>
<span><span>2n = -5m + 320
</span>
</span><span>n = -5/2m + 160
</span><span><span>
so now you have
</span>-3/2m + 140 = -5/2m + 160 </span>
<span><span>Rearrange to become:
</span>
</span><span><span>-3/2m + 5/2m = 160 - 140
</span>
</span><span>m = 20
</span><span>
</span>
<span>Now place 20 into the very 1st</span><span><span> equation in place
of the letter m
</span>
</span><span><span>2n + 3(20) = 280
</span>
</span><span><span>2n + 60 = 280
</span>
</span><span><span>2n = 220
</span>
</span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>
