Answer:
D
Step-by-step explanation:
Given that
f(x)=-2x – 1
g(x) = -1/2x+1/2
I The function f( g(x)) = x for all real x.
-2(-1/2X + 1/2) - 1
X - 1 - 1
X - 2
II. The function glAx)) = x for all real x.
- 1/2( -2X - 1 ) + 1/2
X + 1/2 + 1/2
X + 1
III. Functions fand g are inverse functions
Inverse of f(x)
Y = -2x - 1
X = - 2Y - 1
- 2Y = X + 1
Y = - 1/2X - 1/2
Therefore, none of the above answers is correct.
The correct answer is therefore D
Answer:
11
Step-by-step explanation:
5m - 9 = 4m + 2
Subtract 4m and add 9 to both sides:
m = 11
Answer:
$49 is spended by him.
solution given:
rate=for $10.50 per half yard=$10.50/0.5=$21 per yard
area=2 1/3=7/3yards
now
total cost =rate× area =$21×7/3=$49
<span>So we want to know how much ball bearings can be made with 5.24 cm^3 if one ball bearing has a diameter of 1 cm. We know that radius r=d/2=0.5cm So the volume V of one ball bearing is: V=(4/3)*pi*r^3 so V=(4/3)*3.14*(0.5)^3cm^3=0.524cm^3. Now we simply divide the volume of steel by the volume of the ball bearing: 5.24/0.524=10. So we can make 10 ball bearings from 5.24 cm^3 of steel</span>