Answer:
No
Step-by-step explanation:
By the factor theorem if (x + 2) is a factor of f(x) then f(- 2) = 0
f(- 2)
= 2
+ 
+ 32(- 2) + 32
= 2(64) - 32 - 64 + 32
= 128 - 32 - 64 + 32
= 64 ≠ 0
Hence (x + 2) is not a factor of f(x)
Tons needed to unload a freight train= 21×2.5 =52.5
number of 3.5-ton payload trucks needed to unload a freight train=52.5÷3.5 = 15
15 Trucks , Each With A 3.5-Ton Payloaf , Would be Needed To Do The Same Job.
Answer:
The points are sqrt(164) or 2sqrt(41) units apart.
Explanation:
You didn't provide the options in your question. But to find the distance, you need to use the distance formula.
d=sqrt((y2-y1)^2 + (x2-x1)^2)
d is the distance, and (x1, y1) and (x2, y2) are the points.
Use point J (-4,-6) for (x1,y1) and point K (4,4) for (x2, y2).
d=sqrt((4-(-6))^2 + (4-(-4))^2)
=sqrt(10^2 + 8^2)
=sqrt(100+64)
=sqrt(164)=2sqrt(41)
You can compare this to the answer options and find the closest. Hope I could help! :)
Answer:
x f(x) g(x)
1 15 3
2 16 4
3 15 5
4 12 6
5 7 7
6 0 8
f(x) = g(x) when x = 5
Step-by-step explanation:
f(x) = -x² + 4x + 12
f(1) = -(1)² + 4(1) + 12 = 15
f(2) = -(2)² + 4(2) + 12 = 16
f(3) = -(3)² + 4(3) + 12 = 15
f(4) = -(4)² + 4(4) + 12 = 12
f(5) = -(5)² + 4(5) + 12 = 7
f(6) = -(6)² + 4(6) + 12 = 0
g(x) = x + 2
g(1) = 1 + 2 = 3
g(2) = 2 + 2 = 4
g(3) = 3 + 2 = 5
g(4) = 4 + 2 = 6
g(5) = 5 + 2 = 7
g(6) = 6 + 2 = 8
3-y/2=1
-3 -3
-y/2=-2
x2 x2
-y=-4
/-1 /-1
Y=4
