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:
x = 2/3
Step-by-step explanation:
Given that the amount of time varies inversely with G.
It can be written as,
where K is the constant.
We need to determine the time it takes to put out the fire when 200 gallons of water are used.
<u>The value of constant:</u>
When 
, we get;
Thus, the value of constant is 96.
<u>Time taken:</u>
Substituting 
and 
in the formula , we get;
Thus, the time taken to put out the fire using 200 gallons of water is 48 minutes.
Hence, Option B is the correct answer.
<em>BD</em> = 56
Step-by-step explanation:
Step 1: In rectangle, the diagonals are congruent and bisect each other.
So, <em>AC</em> = <em>BD</em>
⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>
⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>
⇒ 2<em>AG</em> = 2<em>GD</em>
⇒<em>AG</em> = <em>GD</em>
⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43
⇒–7<em>j</em> – 5<em>j</em> = 43 – 7
⇒–12<em>j</em> = 36
⇒<em>j</em> = –3
Step 2: <em>BD</em> = 2<em>DG</em>
<em>BD</em> = 2(5<em>j</em> + 43)
= 2(5 (–3) + 43)
= 2(–15 + 43)
= 2 × 28
= 56
Hence, <em>BD</em> = 56.
8 1/9 because 9 times 8 is 72 and 73-72=1 so 8 1/9
