I think the answer is 38......,
Step-by-step explanation:
The expression for he earning of Allison and her allowance is as follows :
15x+100y
Part A
Variables are x and y. Coefficients are 15 and 100.
Part (B)
There are two terms in this expression. + is used to separate the terms. 15x and 100y are the terms.
Part (C) As $15 shows her earning from allowances. Hence, 15x shows allowance.
The height of the surface increases, then decreases, from the center out to the sides of the road.
<h3>What is quadratic equation?</h3>
The polynomial having a degree of 2 is defined as the quadratic equation it means that the variable will have a maximum power of 2.
Let
y------> the height of the surface
x------> the road
we know that
The quadratic regression graphed represent a vertical parabola open downward
The function increase in the interval --------> (-5,0)
The function decrease in the interval --------> (0,5)
therefore
The height of the surface increases, then decreases, from the center out to the sides of the road.
To know more about quadratic equation follow
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It would take Curtis 45 minutes to ride his bike to Jean's house.
It looks like the differential equation is
Check for exactness:
As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that
*is* exact. If this modified DE is exact, then
We have
Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :
The modified DE,
is now exact:
So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that
Integrate both sides of the first condition with respect to <em>x</em> :
Differentiate both sides of this with respect to <em>y</em> :
Then the general solution to the DE is