3 years ago

Graph the inequality y is greater than or equal to -2x - 2

Mathematics

1 answer:

Butoxors [25]3 years ago

6 0

Answer:

graph -2x-2 as a solid line then shade the graph in above that line.

Step-by-step explanation:

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Norma-Jean [14]

Answer:

Step-by-step explanation:

$\frac{dy}{dx}=x^{2}(y-1)\\\frac{1}{y-1} \text{ } dy=x^{2} \text{ } dx\\\int \frac{1}{y-1} \text{ } dy=\int x^{2} \text{ } dx\\\ln|y-1|=\frac{x^{3}}{3}+C\\$

From the initial condition,

$\ln|3-1|=\frac{0^{3}}{3}+C\\\ln 2=C$

So we have that $\ln |y-1|=\frac{x^{3}}{3}+\ln 2\\e^{\frac{x^{3}}{3}+\ln 2}=y-1\\2e^{\frac{x^{3}}{3}}=y-1\\y=2e^{\frac{x^{3}}{3}}+1$

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2 years ago

Austin is 69 years younger than Jamie. 3 years ago, Jamie's age was 4 times Austin's age. How old is Austin now?

matrenka [14]

Answer: 26 years old

Step-by-step explanation:

Create an equation with Austin as x and Jamie as x+69 (I just like workin with addition signs more)= 4(x-3)= x+69-3
Simplify the equations --> 4x-12=x+66
Solve the equation: 3x-12=66 --> 3x=78 --> x=26

This is the same as other age problems, just with the extra step of distributing the multiplication.

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3 years ago

(3x+1)^1/3=4. How to solve?

xz_007 [3.2K]

Answer:

exact form: 11/3

decimal form: 3.6666...

Mixed number form: 3 2/3

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3 years ago

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mrs_skeptik [129]

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denis23 [38]

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Step-by-step explanation:

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