1) Answer: 
<u>Step-by-step explanation:</u>
f(x) = 6x⁻¹
f'(x) = -6x⁻²
= 
f'(-2) = 
= 
=
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2) Answer: 
<u>Step-by-step explanation:</u>
f(x) = -9x⁻¹
f'(x) = 9x⁻²
= 
f'(6) = 
= 
=
Answer:
(x,y)=(3/2, -1/2)
Step-by-step explanation:
2x+4y=1 /*3
3x-5y=7 /*(-2)
6x+12y=3
-6x+10y=-14
...........................
/ 22y=-11
y= -11/22
y= -1/2
2x+4*(-1/2)=1
2x-2=1
+2 +2
2x=3
x=3/2
so the solutionis (x,y)=(3/2, -1/2)
Answer:
x = 13.3125
Step-by-step explanation:
Since it is a square, divide the area (225) by 4: 56.25
Now solve for x
56.25 - 3 = 53.25
53.25 / 4 = 13.3125
Please check if this is the method you need, and if I solved for the right thing!
Answer:
Step-by-step explanation:
The strange thing about the greatest integer function is that the number you are evaluating the function at is not actually the number unless its an integer. The rule is to round down, ALWAYS, if you are dealing with a value of x that is not an integer. In other words, you are NOT evaluating the function at 8.6, you have to round down to 8 and evaluate it there. 8 - 5 = 3
To help you understand this better, here are my steps.
You convert both the numbers to improper fractions- like this
5/3 multiplied by 5/4
Now, you multiply across the top and bottom
(5*5)/(3*4)
25/12
Hope this helped!
