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Vinil7 [7]
3 years ago
5

3) Veronica traveled 126 miles on 3 gallons of gas. On another trip she traveled 210 miles on 5 gallons of gas. Find the unit ra

te in miles per gallon on her two trips.
Mathematics
1 answer:
Goshia [24]3 years ago
8 0
The answer is 42 mpg, all you need to do is divide 126/3 or 210/5 and they both equal 42.
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Find the vertical asymptotes. 2x2 + 7x + 6 y = 3x2 + 10x - 8 * = [ [?], x=​
Llana [10]

Answer:

-\frac{77}{24}

Step-by-step explanation:

1. rewrite the equation in standard form: 4\cdot \frac{3}{2}\left(y-\left(-\frac{41}{24}\right)\right)=\left(x-\left(-\frac{3}{2}\right)\right)^2

2. find (h,k), the vertex. the vertex is \left(h,\:k\right)=\left(-\frac{3}{2},\:-\frac{41}{24}\right)

3. find the 'focal length' of the parabola - the focal length is the distance between the vertex and the focus. from the vertex we can see that the focal length, p, = 3/2

4. Parabola is symmetric around the y-axis and so the asymptote is a line parallel to the x-axis, a  distance p from the \left(-\frac{3}{2},\:-\frac{41}{24}\right) y coordinate which is at  -\frac{41}{24}\right). Set up the equation:

y=-\frac{41}{24}-p

5. substitute and solve:

y=-\frac{41}{24}-\frac{3}{2}

y = -\frac{77}{24}

hope this helps, ask me questions if you still don't understand.

8 0
3 years ago
I give up math is hard
AlexFokin [52]

Answer:

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3 years ago
Round 492.3069 to the nearest thousandth
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4 0
3 years ago
Y = 2x – 5 2y – 4x =
nikklg [1K]

Answer:

2y-4x

Step-by-step explanation:

6 0
3 years ago
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Evaluate 1/4 c + 3d when c = 6 and d = 7
Naddika [18.5K]

           \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

       <em>Evaluate 1/4c+3d when c=6, and d=7.</em>

<em />

<em>         </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

       Replace c with 6, and d with 7:-

     \Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}

\bigstar On simplification,

   \Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}

\bigstar On further simplification,

    \Large\text{$\displaystyle\frac{6}{4} +21$}

\bigstar On further simplification,

     \Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}

\bigstar Adding the numerators,

\Large\text{$\displaystyle\frac{90}{4}$}

\bigstar Finally, Reducing the fraction:-

\Large\text{$\displaystyle\frac{45}{2}$}

\Uparrow \mathbb{OUR\:SIMPLIFIED\:EXPRESSION}

<h3>Good luck with your studies.</h3>

         \rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}

8 0
2 years ago
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