Answer: 
Step-by-step explanation:
Given: The side of the square shaped traffic sign = 4x+3
We know that the area of square is given by:-
Therefore, the area of the side of the square shaped field is given by:-
We know that , 
Therefore,
Hence,
-7 < x < 7
or
x > -7 , x < 7
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
Answer:
Step-by-step explanation:
To find how far she can walk in 3 minutes, we need to find how fast she can walk in 1 minutes. We do this by dividing the distance she walked by the time she walked. Lets do so.
3200/24=133.33
She walks 133.33 meters per minute. Now to find her distance in 3 minutes w multiply this number by 3.
133.33*3=400
Barbra walks 400 meters every 3 minutes.
Answer:
P=0.00564
Step-by-step explanation:
From Exercise we have 52 cards.
We calculate the number of combinations to draw 5 cards from a deck of 52 cards. We get
{52}_C_{5}=\frac{52!}{5!(52-5)!}=2598960
We now count the number of favorable combinations:
{13}_C_{1} · {48}_C_{2}= 13 · \frac{48!}{2!(48-2)!}=14664
Therefore, the probabilitiy is
14664/2598960=0.00564
P=0.00564
