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Svetlanka [38]
2 years ago
10

What's the equation for y?

Mathematics
1 answer:
-Dominant- [34]2 years ago
7 0
The aswer is easy it is d
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For the function f(x) = -3x + 2, what is the local
jolli1 [7]
The answer would be

F(x)=x^2-8x
4 0
3 years ago
Please help! I have no clue what im doing
prohojiy [21]

Answer:

y = -2x + 1

Step-by-step explanation:

So, first you can use rise over run between the two points to find the slope.

This will get you -6/3, which you can simplify to -2

Then, see where the y intercept is, which is at (0, 1)

The equation will be y = -2x + 1

4 0
3 years ago
Read 2 more answers
Solve the initial value problem where y′′+4y′−21 y=0, y(1)=1, y′(1)=0 . Use t as the independent variable.
igor_vitrenko [27]

Answer:

y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}

Step-by-step explanation:

y′′ + 4y′ − 21y = 0

The auxiliary equation is given by

m² + 4m - 21 = 0

We solve this using the quadratic formula. So

m = \frac{-4 +/- \sqrt{4^{2} - 4 X 1 X (-21))} }{2 X 1}\\ = \frac{-4 +/- \sqrt{16 + 84} }{2}\\= \frac{-4 +/- \sqrt{100} }{2}\\= \frac{-4 +/- 10 }{2}\\= -2 +/- 5\\= -2 + 5 or -2 -5\\= 3 or -7

So, the solution of the equation is

y = Ae^{m_{1} t} + Be^{m_{2} t}

where m₁ = 3 and m₂ = -7.

So,

y = Ae^{3t} + Be^{-7t}

Also,

y' = 3Ae^{3t} - 7e^{-7t}

Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,

y(1) = Ae^{3X1} + Be^{-7X1}\\1 = Ae^{3} + Be^{-7}\\Ae^{3} + Be^{-7} = 1      (1)

y'(1) = 3Ae^{3X1} - 7Be^{-7X1}\\0 = 3Ae^{3} - 7Be^{-7}\\3Ae^{3} - 7Be^{-7} = 0 \\3Ae^{3} = 7Be^{-7}\\A = \frac{7}{3} Be^{-10}

Substituting A into (1) above, we have

\frac{7}{3}B e^{-10}e^{3} + Be^{-7} = 1      \\\frac{7}{3}B e^{-7} + Be^{-7} = 1\\\frac{10}{3}B e^{-7} = 1\\B = \frac{3}{10} e^{7}

Substituting B into A, we have

A = \frac{7}{3} \frac{3}{10} e^{7}e^{-10}\\A = \frac{7}{10} e^{-3}

Substituting A and B into y, we have

y = Ae^{3t} + Be^{-7t}\\y = \frac{7}{10} e^{-3}e^{3t} + \frac{3}{10} e^{7}e^{-7t}\\y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}

So the solution to the differential equation is

y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}

6 0
3 years ago
The number of games a baseball team has won in each of the ten seasons is as follows:
nevsk [136]

Answer:

The mean = 14.3. median = 15.5 and the range = 10.

Step-by-step explanation:

10, 16, 19, 13, 12, 17, 16, 15, 9, 16

The mean = sum of the 10 numbers / 10 =  143/10 = 14.3.

Find the median by arranging in ascending order:

9, 10, 12, 13, 15, 16, 16, 16, 17, 19

The median is the mean of the 2 middle numbers = (15 + 16)/2

= 15.5.

The range = highest - lowest number = 19 - 9 = 10.

7 0
3 years ago
Read 2 more answers
Write 50.449 as a mixed number.
lana [24]

Answer:

50 499/1000

Step-by-step explanation:

50.499

There are 3 digits after the decimal

Our denominator is 1 with 3 zero's 1000

50 499/1000

8 0
3 years ago
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