Answer:250
Step-by-step explanation: Subtract 90 from 75 which is 15 then divide 15 by .06 which is 250
Answer:
1282kg
Step-by-step explanation:
1.0*1.12*1.1=1.232 tonnes
50kg + 1232kg = 1282kg
Hope this helps :)
Answer:
-3/4 p^11
Step-by-step explanation:
9/16p^7 ⋅ (-4/3p^4)
Multiply the numbers together
9/16 * -4/3 = -3/4
Now multiply the variables
p^7 * p^4
We know that a^b* a^c = a^(b+c)
p^(7+4) = p^11
Putting these back together
-3/4 p^11
Answer:
f(x) = (3x -12)/(x² -7x +12)
Step-by-step explanation:
The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...
- horizontal asymptote: y = 0
- vertical asymptote: x = 3
- hole: (x, y) = (4, 3)
- y-intercept: (0, -1)
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The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.
At this point, the function is tentatively ...

Evaluating this at the y-intercept, x=0, gives ...
f(0) = -1 = a/(0 -3) = -a/3
a = 3 . . . . . multiply by -3
Then our rational function, consistent with all of the features of the graph, is ...
