Ok, so first we distribute, you multiply the seven into everything in the parentheses next to it. So far we have, 14a+21+3(4a-2). You distribute the three into the parentheses to get, 14a+21+12a-6. You combine the like terms to get, 26a-15. You cannot simplify it any further so the answer is 26a-15.
Answer:
250 sq. inch
Step-by-step explanation:
Perimeter: 60 inch
: 2 X L+B
: 2 X ? + 10
Length: 60-10
: 50/2
: 25 inch
Area: L X B
: 25 X 10
: 250 sq.inch
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There are 100 tens in 1,000
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:
- A. 7·6 + 7·3
- B. 7·3 + 7·6
- C. 7·9
Step-by-step explanation:
The distributive property and the commutative property of addition both apply here.
Distributive property: a(b+c) = ab +ac
For a=7, b=6, c=3, this becomes ...
7(6+3) = 7·6 +7·3 . . . . . matches A
The commutative property of addition says ...
a + b = b + a
For a=7·6 and b=7·3, this becomes ...
7·6 + 7·3 = 7·3 + 7·6 . . . . . matches B
Of course, the expression can be partially evaluated:
7(6 +3) = 7·9 . . . . . matches C
