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Alla [95]
3 years ago
8

What are the roots of the equation 5x^2=-9x-6n simplest a+bi form?

Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0
5 square root of 2 is 25.
-9-6 is -15
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3 0
4 years ago
Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.
barxatty [35]

Answer:

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx

If f(x) = 7 +10\cdot x - 9\cdot x^{2}, a = 0, b = b and \bar f = 8, then:

\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8

\frac{7}{b}\int\limits^b_0 \, dx  + \frac{10}{b}  \int\limits^b_0 {x}\, dx - \frac{9}{b}  \int\limits^b_0 {x^{2}}\, dx = 8

\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8

7 + 5\cdot b - 3\cdot b^{2} = 8

3\cdot b^{2}-5\cdot b +1 = 0

The roots of this polynomial are determined by the Quadratic Formula:

b_{1} \approx 1.434 and b_{2} \approx 0.232.

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

7 0
3 years ago
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8 0
3 years ago
If a plane crashes on the border of Mexico and the U.S, where would you bury the survivors by the law?
lyudmila [28]

Answer:

Step-by-step explanation:

So, since when do we start burying survivors alive? Did they crash into Zombiland? Was it Spirit Air who didn’t want to pay damages in law suits? Or is this a time distance question in which we have to wait until each of the surviving passengers pass away? If so then I suspect that those who survived the New Mexico/Texas border crash would be buried in the state or country in which they eventually died or where they so instructed their next of kin to bury them. Of course, maybe they would be cremated and then the ashes will sit on someone’s mantel until a house cleaner tosses them out or they ashes may be spread out over a special parcel of land or water.

8 0
3 years ago
Read 2 more answers
enuity CUBetween which two numbers will you find 5.634 x 102?OA) 0.0562 and 0.0563OB) 0.0563 and 0.0564OC) 562 and 563OD) 563 an
Rudiy27

The number:

5.634\times10^2

is going to be between the numbers 563 and 564; since 10 squared equals 100 and the decimal point will move to places to the right.

Therefore, the answer is D.

8 0
2 years ago
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