x = 3,-1, multiplicity of 2.
Therefore, it is 4-degree polynomials. (considering that x = 3,-1,2,2)
We just convert these x-values into x-intercept form and convert again in standard form by multiplying.
(x-3)(x+1)(x-2)²
(x²-2x-3)(x²-4x+4)
(x⁴-4x³+4x²-2x³+8x²-8x-3x²+12x-12)
Thus the answer is x⁴-6x³+9x²+4x-12
This kinda took a lot of effort but hope it helps
Answer:
A: the proposed route is 3.09 miles, so exceeds the city's limit
Step-by-step explanation:
The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...
a^2 = (12-6)^2 +3^2 = 45
a = √45 = 3√5
and
b^2 = (6 -2)^2 +4^2 = 32
b = √32 = 4√2
Then the total length, in grid squares, is ...
3√5 + 4√2 = 6.7082 +5.6569 = 12.3651
If each grid square is 1/4 mile, then 12.3651 grid squares is about ...
(12.3651 squares) · (1/4 mile/square) = 3.0913 miles
The proposed route is too long by 0.09 miles.
Given: 2/3 every 30 seconds
If we cut 2/3 in half, we get 1/3. This would also mean we cut the time in half 30 / 2 = 15 seconds
Therefore, 1/3 of the length every 15 seconds.
15 + 15 + 15 = 45 seconds to go the full length of the path
Answer:
145
Step-by-step explanation:
168-23 = 145
i hope this helps :)
