x = 4
x = -1
x = 0
Equation at the end of step 1 :
((3 • (x3)) - 32x2) - 12x = 0
Step 2 :
Equation at the end of step 2 :
(3x3 - 32x2) - 12x = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)
Trying to factor by splitting the middle term
4.2 Factoring x2 - 3x - 4
The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization
Answer:
Step-by-step explanation:
x
5
+
x
4
−
12
x
3
+
7
x
2
+
4
x
−
48
x
2
(
x
+
4
)
(
x
−
3
)
Answer:
A. Miguel has the greatest spread.
B. Considering the middle 50% of the training time, the person with the least spread is Adam.
C. Miguel is inconsistent with the time set for training compared to that of Adam.
Step-by-step explanation:
The spread of a data shows the range of the data.
Using the range to determine the spread of the given data:
A. The range of the two persons can be determined by:
Range = highest value - lowest value
So that:
Adam's range = 106 - 91
= 15
Miguel's range = 105 - 86
= 19
Comparing the range of the two, Miguel has the greatest spread.
B. Considering the middle 50% of the training time;
Adam - 103 105 104 106 100
Miguel - 88 86 89 93 105
Adam's 50% range = 106 - 100
= 6
Miguel's 50% range = 105 - 86
= 19
Considering the middle 50% of the training time, the person with the least spread is Adam.
C. The answers to parts 2(a) and 2(b) shows that; there is a wide variation (much inconsistency) in the time that Miguel spend during training, but a minimum variation in the time spent by Adam during training.
The answer is 1.87 pounds heavier. This is found out by subtracting 2.8 from 4.67.
Hope this helps!
It’s 2 because it starts at 6 and the next time the line meets a point is at (4,-1) you go down one and over two and you put x/y so it’s 2/1 which is 2. I think that’s right