Answer:
x2ˣ + 2ˣ
Step-by-step explanation:
<u>Points to remember</u>
(f * g)(x) = f(x) * g(x)
It is given that, f(x)= 2ˣ and g(x)=x+1
<u>To find the value of (f * g)(x) </u>
Let f(x)= 2ˣ and g(x) = x + 1
(f * g)(x) = f(x) * g(x)
= (2ˣ )* (x + 1)
= (2ˣ * x) + ( 2ˣ * 1)
= x2ˣ + 2ˣ
Answer:
It will take 25.7 minutes when they are working together
Step-by-step explanation:
Here, we want to know how long it will take both pipe working together to drain the tank
Let the volume of water to be drained be xL
for the first one, rate is
x/45 L/minutes
for the second x/60 L/minutes
Joint rate will be
x/45 + x/60 = 4x + 3x/180 = 7x/180
Now go get the time involved here, we simply divide the volume by the rate
That would be;
x divided by 7x/180
= x * 180/7x
= 180/7 = 25.7 minutes
Answer:
-45 < x < 5 (see graph below)
Step-by-step explanation:
to isolate x by itself, subtract 20 from all three terms of the equation:

once you finish subtracting 20, x should be by itself, making the equation graphable:

since x is not equal to -45 or 25, the graph line endings have open circles.
<span>The best statement that could describe the dogs environment 5 seconds after the command was given is that th</span>e dog was running towards the trainer to receive a treat.