<span>4.8 (x+4)=2.6
Use distributive property
4.8x + 19.2= 2.6
Subtract 19.2 from both sides
4.8x = -16.6
Divide 4.8 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x = -3.458</span>
For this case we have the following expression:
Applying distributive property to the terms within parentheses we have:
We add similar terms on both sides of equality considering that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.
We add 7.5x to both sides of equality:
We subtract 72 from both sides of equality:
We divide between 3 on both sides of equality
ANswer:
Distributive property
Add similar terms
Equality property of the sum
Equality subtraction property
Equality property of the division
Answer:
The mean value theorem is valid if f(x) is continuous in the interval (0,3) and differentiable in the interval (0,3), the problem is that f(x)=2−|4x−2| is not differentiable in x = 1/2 because 4*1/2 - 2 = 0 and the function |x| is not differentiable in x = 0.
f'(x) = (-4)*(4x−2)/|4x−2|
f(3) = 2−|4*3−2| = 8
f(0) = 2−|4*0−2| = 0
Replacing in f'(c) = f(3)−f(0)/(3−0)
(-4)*(4c−2)/|4c−2| = (8 - 0)/3
(-4)*(4c−2)*3/8 = |4c−2|
-3/2*4c + 3/2*2 = |4c−2|
-6c + 3 = |4c−2|
That gives us two options
-6c + 3 = 4c−2
5 = 10c
1/2 = c
or
6c - 3 = 4c−2
-1 = -2c
1/2 = c
But f'(1/2) is not defined, therefore there is no value of c such that f(3)−f(0)=f'(c)(3−0).
I think its easier to work out part (c) first:-
People who liked anything except burger = 3/8 + 1/4 + 1/5 = 33/40
So the fraction who liked burgers = 7/40.
7/40 of the total liked burgers so total people surveyed = (40/7) * 126 = 720
ANswer to c is 720.
a) Number who liked chicken and laksa = (3/8 + 1/4) * 720 = 450 Answer
b) Number who liked pasta = 1/5 * 720 = 144
Therefore 144-126 = 18 more people liked pasta than burger , Answer.
