Answer:
Tens digit, x = 3
Unit digit, y = 8
Number = 38
Step-by-step explanation:
Let the 2 digit number = xy
y = x + 5 - - - (1)
10x + y = 4(x + y) - 6
10x + x + 5 = 4(x + x + 5) - 6
11x + 5 = 4(2x + 5) - 6
11x + 5 = 8x + 20 - 6
11x + 5 = 8x + 14
11x - 8x = 14 - 5
3x = 9
x = 9/3
x = 3
From (1)
y = x + 5
y = 3 + 5
y = 8
The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x
He sells used drones at 70% of the price (x).
So, the selling price of a used drone is:
Express percentage as decimal
Also, he sells new drones at 15% more of the price (x).
So, the selling price of a new drone is:
Express percentage as decimal
The amount saved is the difference between the prices of the drones.
So, we have:
This gives
Subtract
Express as a function
Hence, the function for the amount saved is f(x) = 0.45x
Read more about proportions at:
brainly.com/question/13114933
Its A
coz f(0) occurs at f(1-1) which means f(x-1) is obtained by displacing f(x) by 1 unit to right.
-5 will cause it to go down by 5 units
It's 8x + 16y/2 + 4x - 4y :))
The way the question is phrased, it sounds like the height stays fixed at 18 in. If <em>L</em> and <em>W</em> denote the raft's length and width, respectively, then its volume <em>V</em> is given by
<em>V</em> = 18 <em>L</em> <em>W</em>
Differentiating both sides with respect to time <em>t</em> gives
d<em>V</em>/d<em>t</em> = (18 in) <em>W</em> d<em>L</em>/d<em>t</em> + (18 in) <em>L</em> d<em>W</em>/d<em>t</em>
We're told that d<em>L</em>/d<em>t</em> = -1 in/s and d<em>W</em>/d<em>t</em> = -2 in/s, so that at the moment <em>L</em> = 11 in and <em>W</em> = 4 in, the volume is changing at a rate of
d<em>V</em>/d<em>t</em> = (18 in) (4 in) (-1 in/s) + (18 in) (11 in) (-2 in/s)
d<em>V</em>/d<em>t</em> = -468 in³/s
so the raft is losing air at a rate of 468 in³/s. (Note that "losing" captures the negative sign from before.)