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2 years ago

3/4 times -4 2/9 I have no idea what that equals please help

Mathematics

1 answer:

anygoal [31]2 years ago

7 0

Answer:

-3.16666667

Step-by-step explanation:

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Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

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3 years ago

Given the equation of the line y=−x−2, What is the equation of the image after a 270° rotation about the origin. Is there a rela

Vikentia [17]

The equation is y = x + 2 and they are perpendicular lines.

A rotation of 270 degrees means that you turn 3/4 of the way around a circle. That would put the y-intercept at (0, 2) and the line would be going up instead of down.

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3 years ago

How much is a 40% discount off of $74.99

pychu [463]

Answer:

$\frac{40}{100} \times \frac{7499}{100}$

$\frac{2}{5} \times \frac{7499}{100}$

$\frac{1}{5} \times \frac{7499}{50}$

$\frac{7499}{250}$

7499/250= 29.996

74.99-29.996= $44.994

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3 years ago

In August, Ralph bought a new set of golf clubs that cost $775. The cost of the clubs was marked up to $800 in October. Which pr

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P(800)=775
800p=775
800p/800=775/800
p=0.96875
rounded = 97 percent

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3 years ago

Read 2 more answers

The art center has a painting class each month. each student pays 12 dollars for the class and 28 dollars for the materials. thi

DedPeter [7]

We need to use simple division to solve the problem. The number of students in the painting class this month is 14.

It is said that each student pays $12 for class and $28 for materials. The total amount paid by each student can be calculated by adding both of them. We know that the total amount this month is $560, we need to find the number of students in the class. Let us consider the number of students in the class to be x, and multiply the total amount per student to x and equate it to 560.

(12+28)x=560

40x=560

x=560/40=14

Therefore the number of students in the painting class is 14.

Learn more about division here:

brainly.com/question/25289437

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10 months ago