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3 years ago

What is the constant rate of change between (3.6,5.2) and (-0.6,7)

Mathematics

1 answer:

Marina86 [1]3 years ago

7 0

Answer:

Investigation 7 introduces a method for computing the ... at a constant rate with respect to the measure of another, then the changes in the ... –5.2 = –3.1∆x ... y = 3.6 + (5.1/–3.5)(x – 12.2) or y = –1.5 + (5.1/–3.5)(x – 8.7).

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Help with cal 2 exercise involving integrals?

zhannawk [14.2K]

$\displaystyle\int\frac{\sqrt{x^2+1}}x\,\mathrm dx=\int\frac{\sqrt{\tan^2B+1}}{\tan B}\sec^2B\,\mathrm dB$

$\tan^2B+1=\sec^2B$

$\sqrt{\sec^2B}=\sec B$ (provided that $\sec B>0$ )

Then

$\dfrac{\sec B}{\tan B}\cdot\sec^2B=\dfrac{\sec^2B}{\tan B}\cdot\sec B$

(just moving around a factor of $\sec B$ )

$\dfrac{\sec B}{\tan B}\cdot\sec^2B=\dfrac{\sec^2B}{\tan^2B}\cdot\sec B\tan B$

(multiply by $\dfrac{\tan B}{\tan B}$ )

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3 years ago

The two linear functions ƒ(x) and g(x) are shown below.

sveticcg [70]

The last sentence or second

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3 years ago

THE SUM OF TWO INTEGERS WITH DIFFERENT SIGNS IS 8.GIVE TWO POSSIBLE INTEGERS THAT FIT THIS DESCRIPTION.

marusya05 [52]

Sum of two integers with different signs is equal to 8.

There are several answers:

+12 and -4
+10 and -2
+11 and -3

ETC.

6 0

4 years ago

Which is the last operation performed when evaluating (8-2) + 4 for x = 3?

Mariana [72]

Addition because 8-2 = 6 and then you add the 4

6 0

4 years ago

Read 2 more answers

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