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Answer: The objects instantaneous velocity at that point
Step-by-step explanation:
On a position versus time graph, the displacement is the vertical difference between two points and the time interval is the horizontal difference.
The ratio of displacement to time interval is the the objects instantaneous velocity at that point. This ratio is also the slope of the line.
Hence, The slope at a point on a position versus time graph of an object is the objects instantaneous velocity at that point.
Answer:
1 / 12
Step-by-step explanation:
Given the following data:
_______A___ B ___C ___Total
Male__ 10 __ 17 ___6___ 33
Female_ 11__ 15___ 13___ 39
Total___21__ 32__ 19___ 72
Find the probability that the student was male AND got a "C"
Number of males who got C = 6
Total number of student students = 72
P(student was male and got C) = (number of males who got C / total number of students)
= 6 / 72
= 1 / 12
The polynomial p(x)=x^3+7x^2-36p(x)=x 3 +7x 2 −36p, left parenthesis, x, right parenthesis, equals, x, cubed, plus, 7, x, square
Iteru [2.4K]
Answer:
(x-2)(x+3)(x+6)
Step-by-step explanation:
Given the polynomial function p(x)=x^3+7x^2-36
We are to write it as a product of its linear factor
Assuming the value of x that will make the polynomial p(x) to be zero
Let x = 2
P(2) = 2³+7(2)²-36
P(2) = 8+7(4)-36
P(2) = 8+28-36
P(2) = 0
Since p(2) = 0 hence x-2 is one of the linear factors
Also assume x = -3
P(-3) = (-3)³+7(-3)²-36
P(-3) = -27+7(9)-36
P(-3) = -27+63-36
P(-3) = 36-36
P(-3) = 0
Since p(-3) = 0, hence x+3 is also a factor
The two linear pair are (x-2)(x+3)
(x-2)(x+3) = x²+3x-2x-6
(x-2)(x+3) = x²+x-6
To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.
x^3+7x^2-36/x²+x-6 = x+6
Hence the third linear factor is x+6
x^3+7x^2-36 = (x-2)(x+3)(x+6)
Answer:
6
Step-by-step explanation:
The angle bisector divides the other segments proportionally. There are many ways the proportion can be written. One is ...
XN/NY = XA/AY
XN = NY×XA/AY = 4 × 18/12
XN = 6
