Answer:
The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)
Step-by-step explanation:
(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;
f(x)=2x
g(x)= 1/x
(f*g) (x) = f(x) * g(x)
(f*g) (x) = 2x * 1/x = 2
This is a horizontal line defined everywhere on the real line. The domain of (f*g) (x) is thus ( -∞, ∞)
The slope of a line that is perpendicular to another line is the negative reciprocal of the other.
In this case, we know that the slope of the given equation is 2.
Since we're solving for a line perpendicular to it, we simply find the reciprocal of the 2 (It turns into 1/2) and make it negative.
y = -1/2x + b
Since the given states that the new y-intercept is 10, input it into 'b'.
y = -1/2x + 10
If you'd like me to explain anything I did here, just ask :)
-T.B.
Answer:
y = 4x -16
Step-by-step explanation:
y+8= 4(x-2)
y+8=4x-8
y= 4x - 16
9514 1404 393
Answer:
21 miles per hour
Step-by-step explanation:
Let w represent the wind speed. Then the travel time is ...
400/(329 +w) = 352/(329 -w)
400(329 -w) = 352(329 +w)
(352+400)w = 329(400 -352)
w = (400 -352)/(400 +352)·329 = 48/752·329 = 21
The wind speed is 21 miles per hour.
Answer:
Step-by-step explanation:
a primary school budgeted for $16200.00 to renovate the school the school raised 25%and applied for the rest of the amount from a bank how much did the school apply from the bank?
a primary school budgeted for $16200.00 to renovate the school the school raised 25%and applied for the rest of the amount from a bank how much did the school apply from the bank?
