Use gradient formula, rise over run.
y2-y1/x2-x1
The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
Given that,
The function is (-x+3)/ (3x-2)
We have to find f(1) and f'(x).
Take the function expression
f(x)= (-x+3)/ (3x-2)
Taking x as 1 value
f(1)= (-1+3)/(3(1)-2)
f(1)=2/1
f(1)=1
Now, to get f'(x)
With regard to x, we must differentiate.
f(x) is in u/v
We know
u/v=(vu'-uv')/ v² (formula)
f'(x)= ((3x-2)(-1)- (-x+3)(3))/ (3x-2)²
f'(x)= ((-3x+2)-(-3x+9))/ 9x²- 12x+4
f'(x)=(-3x+2+3x-9)/ 9x²- 12x+4
f'(x)=2-9/ (9x²- 12x+4)
f'(x)=-7/ (9x²- 12x+4)
Therefore, The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
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Answer:
0.80
Step-by-step explanation:
2.10-1.45=0.65
0.65=1 baugette
1.45-0.65=0.8
0.8=1 cup
Answer:
B (6,0) because when graphed it would make a 90° angle
A) D + Q = 124
B) .10D + .25Q = 20.50
Multiply B) by -4
B) -.40D + -Q = -82.00 then add to A)
A) D + Q = 124
.60 D = 42
D = 70 Dimes
Q = 54 Quarters
A roll of quarters = $10 = 40 Quarters so there will be 14 "extra" quarters.