Answer:
In terms of typing this in on a keyboard, you could say -sqrt(35)/2
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Work Shown:
We'll use u-substitution here
Let u = x^2, so du/dx = 2x which rearranges to du = 2x*dx and we can say xdx = du/2
Because we are changing from x^2 to u, this means we need to change the limits of integration
If x = -2, then u = x^2 = (-2)^2 = 4
If x = 0, then u = x^2 = 0^2 = 0
Despite 4 being larger than 0, we still place 4 at the bottom limit and we'll just swap them later.
This means we have the following steps
Notice when I swapped the limits of integration (4 and 0 to 0 and 4) I placed a negative sign out front.
The rule is
2/14, 4/28, 5 /35, you must divide 2÷2/14/2 = 1/7
and of this form you must divide all the other fractions
18/40 because you multiply them both by two...
<span>2x-1/4(12x+4)=3
</span>⇒ 2x -1/4*(12x) -1/4*4= 3 (distributive property)
⇒ 2x -3x -1= 3
⇒ -x= 3+1
⇒ -x= 4
⇒ x= -4
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Final answer: x=-4~
</span>
We know that $375 is spent for three weeks period
One week period is 5 days, so for three weeks periods, there are 15 days in total when the truck use the gasoline.
The amount spent on gasoline for one day is $375÷15 = $25