Im so confused about this question
f (x) = x ^ 4-x ^ 3 + x ^ 2-x
For this case what we can do is graph the function and see the behavior of it.
We have then that the function grows upwards (see attached image)
It has two cutting points with the x axis in:
x = 0
x = 1
Therefore, the other roots of the polynomial are imaginary.
Answer: 2 x intercepts appear on the graph of this polynomial function
Slope (m) of a line = (y2-y1)/(x2-x1)
So for line AB, the slope is (3-2)/(-1-1)
= 1/-2 = -1/2
For line AC = (3--1)/(-1--3) = (3+1)/(3-1)
= 4/2 = 2
For line BC = (2--1)/(1--3) = (2+1)/(1+3)
= 3/4
In order for an angle (<) to be right, it must be 90°, so the two lines making the right angle must be perpendicular. Perpendicular lines by definition have slopes that are the negative reciprocal. That means that you change the sign of one line's slope (m) and divide 1 by it:
m2 = 1/-m1
So for lines AB and AC: m(AC) = 1/-m(AB),
does 2 = 1/--1/2? YES!! 1/--1/2 = 1/1/2 = 2, so < BAC is 90° and therefore a right <
How about for lines AB and BC: m(BC) = 1/-m(AB), does 3/4 = 1/--1/2? NO, because 1/--1/2 = 1/1/2 = 2, not = to 3/4, so < ABC is not right
How about our last < BCA: m(AC) = 1/-m(BC), does 2 = 1/-3/4? NO, because 1/-3/4 = -4/3, not = to 2, so < BCA is not right
So yes, the triangle is a right triangle because < BAC is right (=90°)!
Answer:
0.2s is the time from the initial launch of the warhead to impact.
Step-by-step explanation:
This is a rule of three problem
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, our measures have a direct relationship.
The problem states that in a second, the warhead travels 489 meters. How long it takes to travel 100 meters? So
1s - 489m
xs - 100m
489x = 100

x = 0.2s.
0.2s is the time from the initial launch of the warhead to impact.
Based on the number of years that Peter and Blair have till retirement, the total amount that they need to save to completely fund their income shortfall is $65,545.72.
<h3>What amount do Peter and Blair need to save?</h3>
First, find the income shortfall:
= 75,017 - 54,000
= $21,017
The amount they need to save to cover this shortfall is the future value of this amount at retirement. The rate will be the real rate which is:
= 6% - 2% inflation
= 4%
The future value is:
= Income shortfall x future value interest factor, 4%, 29 years
= 21,017 x 3.1187
= $65,545.72
Find out more on future value at brainly.com/question/24703884
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