Answer:
A polynomial of degree 3 has 3 linear factors… (1): (x - i ) (x + i ) (x + a) . If any 2 factors are conjugate as here first 2 factors are conjugate with complex roots. So at least one root should be real.
Step-by-step explanation:
<span>Let the width of the rectangular plot of land be 'x' yards.
Given that the length of the rectangular plot of land is 10 yards more than its width.
So, width of the rectangular plot of land = (x + 10) yards.
Also given that the area of the rectangular plot of land is 600 square yards.
We know that, area of a rectangle = length * width
That is, (x+10) * x = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
x^2 + 30x - 20x -600 = 0
x(x + 30) - 20(x + 30) = 0
(x +30)(x -20) =0
Therefore, either (x + 30) = 0 or (x - 20) = 0
If x + 30 = 0, then x = -30 and
If x - 20 = 0, then x = 20
Since 'x' represents the width of a rectangular plot of land it cannot be negative.
Therefore,
width of the rectangular plot of land = 20 yards
length of the rectangular plot of land= x + 10 = 30 yards</span>
Answer:
i dont understan the method you gave me can youbplease ask again showing a different method
1. An expression that will represent the amount of money that Ms. Thomas will spend is <u>p + 45n - c.</u>
2. The amount of money that Ms. Thomas will spend on the comedy tickets for herself and her 2 friends is <u>$155</u>.
<h3>What is a mathematical expression?</h3>
A mathematical expression is a statement that involves two or more variables that require some mathematical operations.
Most commonly, a mathematical expression contains numbers, variables, and operators, which show a value after the mathematical operations.
<h3>Data and Calculations:</h3>
Parking fee = $35
Ticket fee per person = $45
The number of people on the show = 3 (Ms. Thomas and her two friends)
Coupon = $15
Amount of money spent = p + 45n - c
where p = parking fee, n = number of visitors, and c = coupon received.
= 35 + 45 x 3 - 15
= $155
Learn more about mathematical expressions at brainly.com/question/1852123
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Error! Because that does not make any sense
