What is the equation of the line that passes through the point (6,-4) and has a slope of -2 over 3?

1 answer:

4 0

Y=-2/3x+-4. Here is the original equation for a line. (M is slope and b is y-intercept((the point which the line goes through the Y-axis))) y=Mx+b

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An airline finds that if it prices a cross-country ticket at $200, it will sell 300 tickets per day. It estimates that each $20

olya-2409 [2.1K]

We can write that as a function:

$f(n)=(200 -20n) * (300 + 50n)\\f(n)=60000+10000n-6000n-1000n^2\\f(n)=-1000n^2+4000n+60000\\$

where $n$ is the number of price reductions. We can see that it is a quadratic function which has the biggest value at P = (p, q). It means that p is the number of reductions which results in the biggest profit.

$p=\frac{-b}{2a}=\frac{-4000}{-2000}=2$

It means that it's the best to make 2 price reductions for the company. The tickets should be sold for $200 - 2 * $20 = $160. It results in 2 * 50 more tickets sold which is 300 + 100 = 400.

Answer:

Ticket price: $160

Number of tickets: 400

6 0

3 years ago

What is 12.7 rounded to the nearest whole number

Sedbober [7]

12.7 rounded to the nearest whole number is 13. =)

3 0

4 years ago

Read 2 more answers

Circle O has diameter FG and chord FH. Calculate the measure of < HFG if GH = 72°

Angelina_Jolie [31]

Given the figure in the attached image.

Circle O has diameter FG and chord FH.

If arc GH is;

$GH=72^{\circ}$

we want to find the measure of angle HFG.

Recall that from circle geometry theorems;

"The angle at the center of a circle is twice the angle at the circumference of the circle."

So;

$\begin{gathered} 2\times m\measuredangle HFG=m\measuredangle GOH \\ m\measuredangle HFG=\frac{1}{2}m\measuredangle GOH \\ m\measuredangle HFG=\frac{1}{2}GH \end{gathered}$

substituting the value of GH;