The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2
Answer:
b = +5
Step-by-step explanation:
8b^2=193+7
8b^2=200
b^2= 200/8
b^2=25
b=√25
b=+5
Answer:
The relationship is positive.
The model predicts a score of 60.
Not sure what part b is.
Step-by-step explanation:
Since while the money spent on advertising increases while the items sold increases, we have a positive relation between both variables.
By looking at where 30 is on the graph, we can see it lines up with 60,the middle between $40 and $80 on the y axis and so we know this is the cost associated with this value.
Answer:
60
Step-by-step explanation:
So they are showing you a chart in which the column y is determined by the column x, so you divide y/x in any of the rows so that you get the relation.
100/4=25 (which is the same for every row)
It works pretty much the same for the graph, but the relation is different.
Now instead of a chart you have to figure out the values of x and y by looking at the points that make up the line. For example we have a point that is in the coordinate (2, 60), and that represents that the x value is 2 and its correspondent y is 60. And to find the relation we do it as in the first step but now with 2 and 60.
60/2=30 (which is the same for every point)
Finally we just calculate the value of y both in the graph and the chart when x=12
So for the chart: 12*25= 300
And for the graph: 12*30= 360
The difference between those two is 60.
Answer:
14 is the answer
Step-by-step explanation:
f = 2
e - 2 x 1/2 = e - 1
e = 15
15 - 1 = 14
