Answer:
-4x^3 + 9x^2+35x -45
Step-by-step explanation:
The notation (f*g)(x) actually just means f(x)*g(x)
We just substitute what f(x) is and what g (x) is
(4x-9) * (-x^2 - 3x + 5 )
4x * -x^2 = -4x^3
4x * -3x = -12x
4x*5 = 20x
-4x^3 + -12x+20x
and
-9 * -x^2 = 9x^2
-9*-3x = 27x
-9*5 = -45
-4x^3 + -12x+20x + 9x^2 + 27x +-45
Now to put this in standard form, we have to order it with the terms with the highest exponents to the ones with the lowest exponents
-4x^3 + 9x^2 -12x+20x+27x -45
-12x+20x+27x
-12x+47x
35x
-4x^3 + 9x^2+35x -45
-45 goes last because it is equal to -45x^0
First find the volume of the pool. To do so, multiply the length, times the width, times the height. In this case, it would be 12*15*5 and you get 900 cubic meters.
If the pool is being filled with 36 cubic meters of water per hour, you divide 900 by 36. You get 25 hours.
To check your work, multiply 25 hours and 36 cubic meters of water. You get 900 cubic meters, which is the area of the pool meaning it is full.
Answer:
7/20
Step-by-step explanation:
Add the numbers up which is 20 and then the purpose of bill is the middle one and 7 is the middle in the ratio
$120 will be earned in interest. the math is: first finding out what 6% of 400 is, and then multiplying that by 5
