Answer:
Step-by-step explanation:
1, Find (g-f)(x)
we know (g-f)(x) = g(x) - f(x) = ( 5x -2) -( 2x^2 +3x +6)
= 5x -2 - 2x^2 - 3x - 6
= -2x^2 + 2x -8
So the function (g-f)(x) = - 2x^2 + 2x - 8
2, Find (fg)(x)
we know that (fg)(x) = f(x) * g(x)
= (2x^2 +3x +6 ) *( 5x -2)
= 5x* (2x^2 +3x +6 ) - 2*(2x^2 +3x +6 )
= 10x^3 + 15x^2 +30x -4x^2 -6x - 12
= 10x^3 + 11x^2 + 24x - 12
The answer is (fg)(x)= = 10x^3 + 11x^2 + 24x - 12
Answer:
235
Step-by-step explanation:
The population equation is given as P= 2.726x + 126.189
-To find the number of years since 1980, we subtract the start year from the current year(2020):
X=2020-1980=40
We substitute the x value in the population equation to find the current population:
P=2.76x+126.189 but x=40
P=2.76(40)+126.189=235.229
Rounding off then the population in the current year is 235
Answer:
Q4 = 4 || Q5 = 6 2/3 || Q6 = 4 4/7 || Q7 = 10 || Q8 = 3 1/3 || Q9 = 4 1/2
Step-by-step explanation:
In order to divide fractions, you just have to turn it into multiplying!
Flip the second fraction in the number sentence and then multiply!
Example: 5 divided by 6/7
Keep 5 as it is. Flip 6/7 to 7/6. 5 x 7/6 = 35/6
Now, simplify it! Simplifying is very simple. You just have to divide until they can't be divided anymore.
35/6 simplified = 5 5/6.
Reason:
How many 6's are in 35? 5 R: 5
So, then it would be 5 5/6.
Hope this helped and this was correct! If you have any more questions, I'll be here to answer them!
Answer:
11
Step-by-step explanation:
|11| is a module, the numbers inside a module are equal to positive ones so
|11| and |-11| are both equal to 11
It should stay the same bc even if you flip it and reflect it it shouldn't effect the area of it.
