Answer:
The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.
Step-by-step explanation:
We are given the function:
And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.
To determine the average rate of change, we find the slope of the function between the two points. In other words:
Simplify:
In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.
This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.
So, We Know That The Figure Shown Is A Square. So, We Need To Find The Area:
70*70 = 4900.
So, We Have:
490 - (Area Of The Triangle) = A
So, Lets Find The Area Of The Triangle.
(35*70)/2
Well, 35*70 = 2450.
So:
2450/2 = 1225.
Now, Do:
4900 - 1225 = A
4900 - 1225 = 3675
So:
3675cm² = A
Answer:
165 liters of 15% solution
Step-by-step explanation:
15F + 65S = 60(1650)
F + S = 1650
F = 1650-S
15(1650-S) +65S = 99000
50S = 99000-24750= 74250
S = 74250/50 = 7425/5 = 1485 liters of 65% solution
F = 1650-1485 = 165 liters of 15% solution
65 is much closer to 60 than 15 is, so you know there will be mostly 65% solution with relatively little 15%
Hope this helps, have a nice day/night! :D
Answer:
9/4 cups
Step-by-step explanation:
6 3/4 = 27/4
27/4 * 1/3 = 27/12
27/12 = 9/4
The complex conjugate of a + bi is a - bi
So, the complex conjugate of -8 + 12i is -8 - 12i.
