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2 years ago

30PTS ASAP: BRAINLEST FOR BEST ANSWER! im stupid xD

Mathematics

2 answers:

Elena L [17]2 years ago

7 0

Answer: $200-$75=$125

Black_prince [1.1K]2 years ago

4 0

Answer:

125$

Step-by-step explanation:

$200-$75=125$

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If f(x) = x^2 - 2x and g(x) = 6x + 4, for which value of x does (f+g)(x) = 0?

Goshia [24]

In terms of X then x would be equal to -2

3 0

2 years ago

How do i solve that question?

yawa3891 [41]

a) The solution of this ordinary differential equation is $y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }$ .

b) The integrating factor for the ordinary differential equation is $-\frac{1}{x}$ .

The particular solution of the ordinary differential equation is $y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$ .

<h3>How to solve ordinary differential equations</h3>

a) In this case we need to separate each variable ( $y, t$ ) in each side of the identity:

$6\cdot \frac{dy}{dt} = y^{4}\cdot \sin^{4} t$ (1)

$6\int {\frac{dy}{y^{4}} } = \int {\sin^{4}t} \, dt + C$

Where $C$ is the integration constant.

By table of integrals we find the solution for each integral:

$-\frac{2}{y^{3}} = \frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32} + C$

If we know that $x = 0$ and $y = 1$ , then the integration constant is $C = -2$ .

The solution of this ordinary differential equation is $y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }$ . $\blacksquare$

b) In this case we need to solve a first order ordinary differential equation of the following form:

$\frac{dy}{dx} + p(x) \cdot y = q(x)$ (2)

Where:

$p(x)$ - Integrating factor
$q(x)$ - Particular function

Hence, the ordinary differential equation is equivalent to this form:

$\frac{dy}{dx} -\frac{1}{x}\cdot y = x^{2}+\frac{1}{x}$ (3)

The integrating factor for the ordinary differential equation is $-\frac{1}{x}$ . $\blacksquare$

The solution for (2) is presented below:

$y = e^{-\int {p(x)} \, dx }\cdot \int {e^{\int {p(x)} \, dx }}\cdot q(x) \, dx + C$ (4)

Where $C$ is the integration constant.

If we know that $p(x) = -\frac{1}{x}$ and $q(x) = x^{2} + \frac{1}{x}$ , then the solution of the ordinary differential equation is:

$y = x \int {x^{-1}\cdot \left(x^{2}+\frac{1}{x} \right)} \, dx + C$

$y = x\int {x} \, dx + x\int\, dx + C$

$y = \frac{x^{3}}{2}+x^{2}+C$

If we know that $x = 1$ and $y = -1$ , then the particular solution is:

$y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$

The particular solution of the ordinary differential equation is $y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$ . $\blacksquare$

To learn more on ordinary differential equations, we kindly invite to check this verified question: brainly.com/question/25731911

3 0

2 years ago

What is 40 percent of 85?

DaniilM [7]

Answer:

Answer is 34.

Step-by-step explanation:

I hope it's helpful!

4 0

2 years ago

Read 2 more answers

18. Young millennials, adults aged 18 to 34, are viewed as the future of the restaurant industry. During 2011, this group consum

vovikov84 [41]

Answer:

$H_0: \bar x =192\\H_a: \bar x \neq 192$

Step-by-step explanation:

Given that Young millennials, adults aged 18 to 34, are viewed as the future of the restaurant industry. During 2011, this group consumed a mean of 192 restaurant meals per person (NPD Group website, November 7, 2012).

It is claimed that due to poor economy this average might have been subjected to a change.

To test this claim we have to conduct a hypothesis test.

The hypotheses would be with null there is no change against alternate that there is differnce.

$H_0: \bar x =192\\H_a: \bar x \neq 192$

(Two tailed test)

4 0

2 years ago

Help me x3 = 1,000 what do i do pls show work

ivolga24 [154]

Answer:

10, -5+5i*sqrt(3), -5-5i*sqrt(3).

Step-by-step explanation:

x^3=1000

x=10, -5+5i*sqrt(3), -5-5i*sqrt(3).

3 0

2 years ago