According to the Fundamental Theorem of Algebra, the number of zeros or roots of the equation is equal to the highest degree among the terms. So with the given real roots 4, and -8 <span>the order should be 2 or a binomial. We expound (x-4) * (x+8) to give </span><span> x2 + 4x - 32 = 0</span>
He will earn $427.50 because $4.27 times 90 equals $427.50
Answer:
in
Step-by-step explanation:
Let x be the side of square.
Length of box=8-2x
Width of box=15-2x
Height of box=x
Volume of box=
Substitute the values then we get
Volume of box=V(x)=


Differentiate w.r.t x









Again differentiate w.r.t x

Substitute x=6

Substitute x=5/3

Hence, the volume is maximum at x=
Therefore, the side of the square ,
in cutout that gives the box the largest possible volume.
Answer: 
Step-by-step explanation:
Given : The total number of cards in a deck = 52
Number of red cards = 26
There are two types of red cards : diamond and heart.
Number of diamond cards = 13
The probability that the first card is a diamond :-

Since diamond is also a red card.
Now, the total cards left = 51
The number of red cards left = 12
The probability that the second card is a red card (without repetition) is given by :-

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-
