Answer:
x ={0; - 1 ; 2 ; 1}
Step-by-step explanation:
x¹³-2x¹²-x¹¹+2x¹⁰=0
x¹⁰(x³-2x²-x+2)=0
x¹⁰(x+1)(x-2)(x-1)=0
x¹⁰=0 ∨ x+1=0 ∨ x-2=0 ∨ x-1=0
x=0 x= - 1 x= 2 x= 1
Answer:
y=3x+2
Step-by-step explanation:
The equation between the number of days remaining and number of hours is given as y= -5x+50.
<h3>How to illustrate the equation?</h3>
Let y be the number of days remaining and x be the no.of hours.
From the graph the slope of the line is given by m.
m=(y2 - y1)/(x2 - x1)
m=(30 - 40)/(4 - 2)
m= -10/2 = -5.
The above slope is in between points 2 and 4. As the line has a constant rate of growth the slope is the same between any points of the line.
Therefore the equation between the no.of days remaining and no.of hours is given by
y=mx +c.
y=-5x+c
Now to find the value of c. This can be determined by substituting the x and y values at a particular instant. For x=0,y=50. Therefore by these values, we get,
50= -5(0)+c
c=50.
Therefore the relation between the number of days remaining and number of hours is given as y= -5x+50.
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For this case we have to evaluate the following expression,
We must follow the steps below:
We convert the mixed number into a fraction:
We multiply the fractions, taking into account that:
We simplify:
We convert to mixed number:
Answer:
