<img src="https://tex.z-dn.net/?f=%20%28%20x%20%2B%2020%29%7B2%7D%20" id="TexFormula1" title=" ( x + 20){2} " alt=" ( x + 20){2}

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Mamont248 [21]

3 years ago

" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Artist 52 [7]3 years ago

7 0

Answer:

$x^{2}$ + 40x + 400

Step-by-step explanation:

$(x + 20)^{2}$

(x + 20)(x + 20)

(x)(x) + (x)(20) + (20)(x) + (20)(20)

$x^{2}$ + 20x + 20x + 400

$x^{2}$ + 40x + 400

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Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente

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Complete Question

The complete question is shown on the first uploaded image

Answer:

No singular point due to the exponent in the solution

The interval is $-\infty$

NONE

Step-by-step explanation:

From the question we are told that

$\frac{dy}{dx} = 9y$

The generally solution is mathematically represented as

$\frac{dy }{dx} = 9y$

=> $\frac{dy}{y} = 9dx$

integrating both sides

$\int\limits {\frac{ dy}{y} } \, = \int\limits {9} \, dx$

=> $lny = 9x + c$

=> $y = e^{9x +c }$

=> $y = e^{9x} e^{c}$

Here $e^c = C$

=> $y = C e^{9x}$

From the above equation we see that the domain for x has no singular point the interval is

$-\infty$

Also there is no transient term in the general solution obtained because as $x \to \infty$ there no case where $y \to 0$

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3 years ago

For students who first enrolled in two year public institutions in a recent semester, the proportion who earned a bachelor's d

kondaur [170]

Answer:

Null hypothesis = $H_0:p=0.395$

Alternate hypothesis = $H_a:p>0.395$

Step-by-step explanation:

Given : In a recent semester, the proportion who earned a bachelor's degree within six years was 0.395.

The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.

To Find : Determine the null and alternative hypotheses.

Solution:

In a recent semester, the proportion who earned a bachelor's degree within six years was 0.395.

Claim : the proportion of students who enroll in her institution have a higher completion rate.

So,null hypothesis = $H_0:p=0.395$

Alternate hypothesis = $H_a:p>0.395$

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Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s accou

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Answer: y-int = That means the amount of money in Jana's account before she began mowing lawns.

Step-by-step explanation:

The y-intercept represents the initial money that Jana has in his account. Step-by-step explanation: Given the equation of line is . Also, Jana earns $ per week. And is the number of weeks she has been working. If we plug week in the equation . It will give us the y-intercept. That means the amount of money in Jana's account before she began mowing lawns. The y-intercept represents the initial money that Jana has in his account.

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Help pls. Three sodas cost$4.50 at a convenience store. How many would it cost to buy 10 sodas at the same price.

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