Need help on this one please answer asap

Mathematics

1 answer:

Vanyuwa [196]2 years ago

4 0

15/3 = 5 minutes per customer
48/6 = 8 minutes per customer
30/5 = 6 minutes per customer
This means restaurant 1 was the fastest.

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What is the equation of a line with a slope of 7 and a point (1, 8) on the line?

stira [4]

Slope: 7 given point: (1,8)

y = 7x + b step 1 - plug in the slope in the formula
8 = 7(1) + b step 2 - plug in the given point
8 = 7 + b step 3 - simplify the expression
b = 1 step 4 - solve for b
y = 7x + 1 step 5 - plug in b

formula: y = 7x + 1

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3 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
$\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx$