Trying to factor by splitting the middle term
Factoring <span> b2-4b+4</span>
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 1 • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> -4 </span>.
<span><span> </span></span>
<span><span>-4 + -1 = -5</span><span> -2 + -2 = -4 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -2
<span>b2 - 2b</span> - 2b - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (b-2)
Add up the last 2 terms, pulling out common factors :
2 • (b-2)
Step-5 : Add up the four terms of step 4 :
(b-2) • (b-2)
Which is the desired factorization
Answer:
The train going 30 miles in 1/3 hour is going faster than the other train.
Step-by-step explanation:
Calculate each rate by dividing the distance traveled by the amount of time it takes to cover that distance:
30 / (1/3) = 90 mph
20 / (1/2) = 40 mph
Answer:
2x^2-2x
Step by Step Explanation:
The 2 x^2 come together to form 2x^2 and since there is no other number that has x but no ^2 -2x stays the same.
Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: 
which is essentially 
. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: 
that's the rate of change
Answer:
The commission rate is of 12%.
Step-by-step explanation:
Commission rate:
The commission rate is given by the commission value multiplied by 100% and divided by the value of merchandise sold.
In this question:
$252 in commission for selling $2100 in merchandise. So
252*100%/2100 = 12%
The commission rate is of 12%.
