Answer:
4.
f(x) = (x + 2)(x + 1)(x - 3) = x^3 - 7·x - 6
a = 0 ; b = -7 ; c = -6
5.
a = -3 ∧ b = -2 ∧ c = -3
Complete Question:
Dustin is buying carpet for the living room. If the length of the room is 21 ft and the width
is 11 ft, how many square feet of carpet does he need to buy?
Answer:
231 ft²
Step-by-step explanation:
==>GIVEN:
Length of room (L) = 21 ft
Width of room (W) = 11 ft
==>REQUIRED:
Square feet of carpet to be bought = area of the rectangular room
==>SOLUTION:
The room to be covered with carpet is rectangular in shape. In order to ascertain the square feet of carpet to be bought, we need to calculate the area of the room by using the formula for area of rectangle.
Thus, area of rectangle (A) = Length (L) × Width (W)
A = 21 × 11
A = 231 ft²
Square feet of carpet to be bought = 231 ft²
Answer:
Option C
Step-by-step explanation:
Assuming P represents the number of outcomes, n the number of competitors and r the number of places to be awarded....

There are 336 different possible ways for the winners to be chosen.
<u><em>Hope that helps!</em></u>
Answer:
Step-by-step explanation:
Point of intersections of the graph with x-axis are not clear.
Let these points are x = -a, -b and c
Therefore, function representing the graph will be,
f(x) = p(x + a)(x + b)(x - c)
Since, this graph crosses y-axis at (0, -6),
f(0) = p(0 + a)(0 + b)(0 - c) = -6
-pabc = -6
p = 
Therefore, equation of the given function will be,
f(x) = 
Answer:
See Below
Step-by-step explanation:
1) 180 ft / 6 sec
You can divide both the numerator and denominator by 6:
30 ft / 1 sec
2) 86 mi/5 hr
You can divide 86 by 5:
17.2 mi / hr
3) 83 mi / 5hr
Same as above ^
16.6 mi / hr --> 16.6 mph
4) 93 feet / 5 sec
Same as above ^^
18.6 ft/ 1 sec
5) 150 mi / 4 hr
Same as above ^^^
37.5 mi / 1 hr --> 37.5 mph