All categories

3 years ago

Someone please help me

Mathematics

1 answer:

o-na [289]3 years ago

3 0

The answer should be 2x -7y is less than or equal to 14. I’m not sure if that’s an answer option. But I couldn’t see it but that’s what I think it should be. I’m sorry if I’m wrong

You might be interested in

Find the solution (in explicit form) for the following initial value problem:    y 0 = xy3 (1 + x 2 ) − 1 2 y(0) = 1.

natta225 [31]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The solution is $y^2 = \frac{1}{ 3 - 2 (1 + x^2 ) ^{\frac{1}{2} }}$

Step-by-step explanation:

From the question we are told that

The function is $\left \{ {{y' = xy^3 (1 + x^2)^{-\frac{1}{2} }} \atop {y(0) = 1}} \right.$

Generally the above equation can be represented as

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

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

$\int\limits { \frac{dy }{y^3} } \, = \int\limits {\frac{x}{(1 + x^2) ^{\frac{1}{2} }} } \, dx$

=> $- \frac{1}{2y^2} = (1 + x^2)^{\frac{1}{2} }+ C$

From the question we are told that at y(0) = 1

$- \frac{ 1}{2 * (1) } = (1 + (0)^2)^{\frac{1}{2} } + C$

$C = - \frac{3}{2}$

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

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

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

4 0

3 years ago

How to solve this equation of the missing sides of the triangle

iris [78.8K]

Step-by-step explanation:

Given is a 45°-45°-90 ° angled triangle.

By 45°-45°-90 ° angled triangle theorem:

side opposite to 45° angle is $\frac{1}{\sqrt 2}$ times of hypotenuse.

$\therefore \: 7 = \frac{1}{ \sqrt{2} } \times m \\ \\ \huge \red{ \boxed{\therefore \: m \: = 7 \sqrt{2} \: units}} \\ \\ n \: = \frac{1}{ \sqrt{2} } \times m \\ \\ \therefore \:n \: = \frac{1}{ \sqrt{2} } \times 7 \sqrt{2} \\ \huge \purple{ \boxed{\therefore \:n \: = 7 \: units}} \\$

3 0

4 years ago

Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.

stellarik [79]

Answer:

g(x) is the translation of f(x) 2 units to the left and 4 units down

4 0

3 years ago

The dance competition started at 10:45 a.m. Five hours and 25 minutes later, the awards were presented. Which clock shows the ti

Salsk061 [2.6K]

I think it would be 4:10 p.m.

4 0

3 years ago

Read 2 more answers

Someone explain to me how to get the correct answer

Bingel [31]

Graph :
slope (rate of change) = (-2 - (-4) / (-2 - (-6) = 2/4 = 1/2
y int = (0,-1)
x int = (2,0)

f(x) = 2x - 2
slope(rate of change) = 2
y int = (0,-2)
x int = (1,0)

greater rate of change : f(x) = 2x - 2.....greater by 1.5
greater y int : graph....greater by 1
greater x int : graph...greater by 1
steeper graph : f(x) = 2x - 2

3 0

4 years ago