Answer:
3x² – 2x – 8
=> 3x² – 6x + 4x – 8
=> 3x( x – 2 ) + 4( x – 2 )
=> ( 3x + 4 ) ( x – 2 )
Therefore,
Either, 3x + 4 = 0
3x = - 4
x = - 4/3 (Ans)
And,
x – 2 = 0
x = 2 (Ans)
Answer:
y = - 1/4 x + 1
Step-by-step explanation:
Find two convenient integer coordinates like -4,2 and 4, 0
use these points to calculate the slope to be -1/4
intercept is b = 1
y = -1/4 x + 1
Answer:
The polynomial will be P(x) = - 5 (x + 2)²(x - 3)
Step-by-step explanation:
The degree of the polynomial P(x) is 3 and it has zeros at x = - 2 with multiplicity 2 and at x = 3 with multiplicity 1.
Therefore, (x + 2)² and (x - 3) are the factors of the equation.
Let the polynomial is
P(x) = a(x + 2)²(x - 3) ........... (1)
Now, the polynomial passes through the point (2,80).
So, from equation (1) we gat,
80 = a(4)²(-1)
⇒ a = - 5
Therefore, the polynomial will be P(x) = - 5 (x + 2)²(x - 3) (Answer)
Answer:
You have 1.07 acres in this building lot and you can only build 2 houses.
Step-by-step explanation:
You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses.
We are given that 1 acre = 43,560 square feet.
In this building plot (260 foot by 180 foot), the area is:
260 * 180 = 46,800 square feet
Hence, the number of acres we have in this lot is:

Since your town requires 1/2 acre to build a house, the number of houses that you can build on it will be:

Since the number of houses can only be whole number, we approximate to nearest whole number ≅ 2 houses.
You have 1.07 acres in this building lot and you can only build 2 houses.