<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
Answer:
The average rate of change is 
Step-by-step explanation:
Given function that shows the population of a culture of cells,
Where, t represents the number of weeks.
Thus, the average rate of change in the population over the interval [0,24],
From equation (1),
Answer: 75
15 multiplied by 5 (how many times it takes 20 to get to 100) gives us 75 :)
Answer:
85 ft
Step-by-step explanation:
The Pythagorean theorem tells you the length of the hypotenuse (c) is related to the lengths of the legs (a, b) of a right triangle by ...
c^2 = a^2 +b^2
c^2 = (40 ft)^2 +(75 ft)^2 = 7225 ft^2
c = √(7225 ft^2) = 85 ft
The length of the missing side is 85 ft.
