Answer: Expression represents the number of text messages you sent on Tuesday = 2x
Expression represents the number of text messages you sent on Wednesday = 12+2x
Expression represents the number of text messages you sent on Thursday = x+6
Step-by-step explanation:
Given:
Number of text messages sent on Monday = x
On Tuesday, Number of text messages sent = 2 (Number of messages sent on Monday)
= 2 x
On Wednesday, Number of text messages sent = 12+ (Number of messages sent on Tuesday)
= 12 +2x
On Thursday, Number of text messages sent = 
= x+6
Expression represents the number of text messages you sent on Tuesday = 2x
Expression represents the number of text messages you sent on Wednesday = 12+2x
Expression represents the number of text messages you sent on Thursday = x+6
|3+10|=|3|+|10|
|13|=|13|
13=13
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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<span>a^3 - b^3 = (a - b) </span><span>(<span>a^2 + </span>ab + b^2)
</span><span>so
x^3 - 4^3 = (x - 4)(x^2 + 4x + 16)
hope it helps</span>
