Answer:
(2x+3)(x - 1)
Step-by-step explanation:
Since there is no common number to factor by we must approach this problem differently:
Step 1:
Multiply leading coefficient (2) by the constant term (-3)
2 x -3 = -6
Step two:
Find two numbers that multiply to -6 but add to the middle coefficient (1).
You should find these numbers to be 3 and -2
Step 3:
Replace 1x in the equation with your found numbers
2x^2 - 2x + 3x - 3
Step 4:
Take out the greatest common factor from the first two numbers, and the last two numbers.
For 2x^2 - 2x the greatest common factor would be 2x
For 3x - 3 the greatest common factor would be 3.
Step 5:
Factor out the found common factors
2x(x-1) + 3(x-1)
The values inside the bracket should be the same.
Step 6:
Factor out (x-1)
(x - 1)(2x + 3)
Therefore the factored form is (2x + 3)(x - 1)
Choice A is the answer which is the point (1,-1)
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How I got this answer:
Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.
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checking choice A
plug in (x,y) = (1,-1)
This is true because -3 is equal to itself. So this is the answer.
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checking choice B
plug in (x,y) = (2,4)
This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.
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checking choice C
plug in (x,y) = (-2,3)
This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.
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checking choice D
plug in (x,y) = (3,4)
This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.
9514 1404 393
Answer:
I and II
Step-by-step explanation:
The inequality ...
3x +10 ≥ 2
has solutions ...
3x ≥ -8 . . . . . . . . subtract10
x ≥ -2 2/3 . . . . . divide by 3
Of the answer choices {-1, 3, -11}, the ones that are greater than -2 2/3 are ...
-1, 3 . . . . . . I and II only
Answer: 
Step-by-step explanation:
We use the formula y=mx+b to put it into slope-intercept form
m=6 (slope)
b=-7 (y-intercept)
Therefore, the answer is y=6x-7
<span>The ordered pair (0 minutes, 6 miles from hive) is the initial value on the graph (the value with time=0). The distance value is 6 miles.
It tells you the distance of the bee from its hive "originally" or "initially" or "at t=0" or whatever equivalent description you might like.
The appropriate choice is ...
6 miles; it represents the original distance of the bee from its hive</span>
