When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?

Mathematics

1 answer:

hoa [83]2 years ago

7 0

Answer:

Multiply each side by −5, add 25 to each side.

Step-by-step explanation:

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Only answer #5 Please help me and thx and if u can answer #6 too if u can

Marianna [84]

Answer:

5. D

6. C

Step-by-step explanation:

Question 5

Lets plug in values of x and y into each equation to see which one works for the entire data set...

y=2x-4

1) Plug in -7 as x and -18 as y:

-18=2(-7)-4

2) Multiply:

-18=-14-4

3) Subtract:

-18=-18

The answers are the same, therefore the correct answer to question 5 is equation D. Keep in mind, you want to check ever single pair of points to make sure it works for all of them, I'm just not going to list that as it would make this answer a lot longer for no reason.

Question 6:

We know that the cost for the boat is $25 as a base price, and also costs an additional $1.30 per day for fuel.

The correct equation is C=25+1.30d, because we are adding 1.3 every single day.

4 0

2 years ago

A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title

kirill [66]

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

seperable differential equations will have the form
$\frac{dy}{dx} = F(x) G(y)$

what you do from here is isolate all the y terms on one side and all the X terms on the other
$\frac{dy}{G(y)} = F(x) dx$
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
$\int \frac{1}{G(y)} dy = \int F(x) dx

$

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it

In your problem,
$G(y) = \sqrt{1-y^2}

F(x) = 2x$

so all you need to integrate is
$\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx$