-4b - 2c =
(-4 × 2.5) - (2 × 3)
-10 - 6
= -16
So, -4b - 2c = -16
Hope this helps and let me know if anymore help is needed!!
To isolate the variable multiply both sides by 5.
-3 = x/5
-3*5 = x/5 * 5
-15 = x
Answer:
x = 5, y = 20
Step-by-step explanation:
Since AB and CD are parallel, then
∠ AOC and ∠ OCD are Alternate angles and congruent, thus
12x + 8 = 68 ( subtract 8 from both sides )
12x = 60 ( divide both sides by 12 )
x = 5
-------------------------------
∠ OCD and 5y + 12 are adjacent angles and supplementary, thus
5y + 12 + 68 = 180 , that is
5y + 80 = 180 ( subtract 80 from both sides )
5y = 100 ( divide both sides by 5 )
y = 20
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:
The expression representing Number of the necklaces after h hours is .
Step-by-step explanation:
Given:
Number of necklaces in the beginning = 20
Number of necklaces made per hour = 4
Number of necklaces to be made = 50
We need to write the expression that represents the number of necklaces we have after h hours.
Solution:
Let the number of hours be denoted by 'h'.
now we can say that;
Number of the necklaces after h hours can be calculated by Number of necklaces in the beginning plus Number of necklaces made per hour multiplied by number of hours.
framing in equation form we get;
Number of the necklaces after h hours =
Hence The expression representing Number of the necklaces after h hours is .