Step-by-step explanation:
(3k - 2)(5k + 4)= 15 k^2 +12k - 10 k - 8 = 15 k^2 + 2k -8
Correct!
The slope is (14-6)/(9-5) = 8/4 = 2;
<span>the slope-intercept form of the function that contains the points (5, 6) and (9, 14) is y - 6 = 2( x - 5 );
Then, y - 6 =2x - 10;
y = 2x - 4 ;</span>
Answer:
Wetlands prevent flooding by temporarily storing and slowly releasing stormwater.
Step-by-step explanation:
Wetlands also reduce water flow, thus allowing sediments and associated pollutants to settle out. A marshland can prevent flooding in a nearby town bye temporarily storing water!
2x² + 13x + 15
First you multiply the first and last number, 2 · 15 = 30
Now you need to find the factors of 30 that add or subtract to +13(I added the plus sign to indicate that the factors that add/subtract to 13 must come out as positive 13)
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 [1 · 30, 2 · 15, 3 · 10, 5 · 6]
You can do either 15 and 2 because 15 - 2 = 13, or 3 and 10 because 3 + 10 = 13.
I will be doing 10 and 3
2x² + 13x + 15 Instead of 13x, you can replace it with 3x and 10x because when you add it together it is 13x
2x² + 3x + 10x + 15 Now you can factor them out separately
x(2x + 3) + 5(2x + 3) You can factor out (2x + 3) from x and 5 to get:
(2x + 3)(x + 5)