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3 years ago

Only answer if you are sure thanks!

Mathematics

2 answers:

svp [43]3 years ago

6 0

Answer:

B. (0,0)

Step-by-step explanation:

pickupchik [31]3 years ago

4 0

Answer:

B. (0, 0).

Step-by-step explanation:

The parent function is y = x^2.

The vertex is at the minimum value of this, that is when x = 0 and y = 0.

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Find the general solution of the given higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0

STALIN [3.7K]

$\dfrac{\mathrm d^3u}{\mathrm dt^3}+\dfrac{\mathrm d^2u}{\mathrm dt^2}-2u=0$

This ODE has characteristic equation

$r^3+r^2-2=(r^3-r)+(r^2+r-2)=r(r^2-1)+(r+2)(r-1)$

$=(r(r+1)+(r+2))(r-1)=(r^2+2r+2)(r-1)=0$

which has roots at $r=1,-1\pm i$ . Then the characteristic solution to the ODE is

$u(t)=C_1e^t+C_2e^{(-1+i)t}+C_3e^{(-1-i)t}$

$\implies\boxed{u(t)=C_1e^t+C_2e^{-t}\cos t+C_3e^{-t}\sin t}$

6 0

3 years ago

What % of 400 is 85?

quester [9]

21.25% because 85/400 = .2125 which is 21.25%

6 0

3 years ago

The following data pairs represent the average temperature x (in degrees Fahrenheit) and electricity

elena55 [62]

Answer:

<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

Step-by-step explanation:

Using Excel, we captured the data provided for the 12 different homes for calculating the correlation coefficient manually, this way:

n = 12

∑x = 904

∑y = 2,169

∑xy = 167,532

∑x² = 69,552

∑y² = 404,615

r = [n *∑xy - (∑x * ∑y)]/[√(n * ∑x² - (∑x)²) * (n * ∑y² - (∑y)²)]

Replacing with the real values, we have:

r = [12 * 167,532 - (904 * 2,169)]/[√(12 * 69,552 - 904²) * (12 * 404,615 - 2,169²)]

r = [2'010,384 -1'960,776]/[√(834,624 - 817,216) * (4'855,380 - 4'704,561]

r = 49,608/√17,408 * 150,819

r = 49,608/ 51'239.215

r = 0.00097

<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

4 0

3 years ago

Read 2 more answers

Kelly runs a bakery that sells Chocolate Blizzards and Mint Breezes. The bakery must make at least 25 dozen and at most 45 dozen

drek231 [11]

Yeah Thanks I love to see that and the answer A

3 0

3 years ago

The equations of two functions are y=-21x+9 and y=24x+8 which function is changing more quickly? Explain

antoniya [11.8K]

Given:

The equations are

$y=-21x+9$

$y=24x+8$

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

$y=mx+b$

Where m is slope and b is y-intercept.

On comparing $y=-21x+9$ with the slope intercept form, we get

$m_1=-21$

$|m_1|=|-21|$

$|m_1|=21$

On comparing $y=24x+8$ with the slope intercept form, we get

$m_2=24$

$|m_2|=24$

Since, $|m_1|$ , it means the absolute rate of change of second function is greater than the first function.

Therefore, the second function is changing more quickly.

3 0

3 years ago