B.13.1 that’s the answer
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<span>get all your x one on side and y on the opposing side
so we have
xdy=4ydx
dy/y=4dx/x
</span><span>integrate both sides
</span><span>lny=4lnx+C
</span><span> y=e^(4lnx+C)
</span><span>The answer is y=cx^4 </span>
The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.
Given values in the question are:
Total distance,
= 188 miles
Total gas used,
= 8
Now,
⇒ The rate of gas consumption will be:
= ![\frac{Total \ distance}{Total \ gas \ used}](https://tex.z-dn.net/?f=%5Cfrac%7BTotal%20%5C%20distance%7D%7BTotal%20%5C%20gas%20%5C%20used%7D)
By putting the given values in the above formula, we get
= ![\frac{188}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B188%7D%7B8%7D)
= ![23.5 \ miles/gallon](https://tex.z-dn.net/?f=23.5%20%5C%20miles%2Fgallon)
Thus the above is the appropriate solution.
Learn more about gas consumption here:
brainly.com/question/17321062
Refrection of point (0, 0) across y = 3 gives point (0, 6)
Refrection of point (0, -6) across the x-axis gives point (0, -6)
Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.
![x_1 + x_2 = \frac{-b}{a}](https://tex.z-dn.net/?f=x_1%20%2B%20x_2%20%3D%20%5Cfrac%7B-b%7D%7Ba%7D)
And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.
![x_1 \cdot x_2 = \frac{c}{a}](https://tex.z-dn.net/?f=x_1%20%5Ccdot%20x_2%20%3D%20%5Cfrac%7Bc%7D%7Ba%7D)
These relations between the solutions give us a brief idea of what the solutions should be like.