Answer: 2s + 1
Explanation:
1) Given expression: 6s² - 7s- 5 = (3s - 5) ( )
2) The missing factor ( ) is such that when it is multiplied by (3s - 5) the product is 6s² - 7s- 5.
3) Since the first term of the first factor starts with 3s, the first term of the second factor shall be 2s (since they have to yield 6s²). Then, you can write:
6s² - 7s- 5 = (3s - 5) (2s + )
4) The second term of the missing factor is positive because the product (+)(-) = (-) which is the sign of the third term of the polynomial.
5) The second term is such that when multiplied by - 5 is equal to the last term of the polynomial (also - 5), so this second terms is +1.
And you get: 6s² - 7s- 5 = (3s - 5) (2s + 1)
6) You can expand, using distributive property to confirm the result:
(3s - 5) (2s + 1 ) = (3s)(2s) + (3s)(1) - (5)(2s) -(5)(1) = 6s² - 7s- 5, which confirms the result.
Answer:
|-2| + |5|
Step-by-step explanation:
Dennis walks from (–5, –2) to (–5, 5) on the map.
Point on the format (x,y). On the x-coordinate, he stayed at the same position, x = -5, so it does not enter the distance calculation.
On the y-coordinate, he went from -2 to 5, so the distance is of:
So the correct option is |-2| + |5|
There is one answer, -24.
While yes, absolute value does indicate both a positive and negative will work, for every x value there will be only one y value associated with it; if there were more, then it would not meet the criteria to be a function.
Answer:
Graph both inequalities and see if the point lies in the overlapping shaded region.
Step-by-step explanation:
X+y = 6
-y+2+y = 6 ... replace x with -y+2
(-y+y) + 2 = 6
(-1y+1y) + 2 = 6
(-1+1)y + 2 = 6
0y + 2 = 6
0+2 = 6
2 = 6 ... this equation is false
Since the last equation is false, this means that no matter what we pick for x and y, there is no solution. This system is inconsistent. The two lines are parallel (they never intersect to form a solution)