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Softa [21]
3 years ago
7

Write an algebraic expression to model the given context.Give your answer in simplest form. (please explain)A.) The original pri

ce p of an item less a 15% discount
Mathematics
1 answer:
babymother [125]3 years ago
3 0

Answer:

The algebraic expression is (P-0.15p) = 0.85p

Step-by-step explanation:

Here, we want to write an algebraic expression to model the situation at hand;

Original price p of an item less a 15% discount

What this mean is that we want to remove a 15% discount from the original price P

That term ‘less’ means we are subtracting

so 15% of p would be;

15/100 * p = 15p/100 = 0.15p

So 15% of P less P is (P-0.15P) = 0.85P

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yes

Step-by-step explanation:

As an example

(x₁, y₁ ) = (1,2) and (x₂, y₂ ) = (5,3), then

d = \sqrt{(5-1)^2+(3-2)^2} = \sqrt{4^2+1^2} = \sqrt{16+1} = \sqrt{17}

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Sams brother is 7 years older than Sam. His mother is 4 less than 3 times sams age. Their combined age is 63. How old isn’t Sam,
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Help me on this question
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2 points) Suppose w=xy+yzw=xy+yz, where x=et, y=2+sin(t)x=et, y=2+sin⁡(t), and z=2+cos(3t)z=2+cos⁡(3t). A ) Use the chain rule t
Olenka [21]

Answer:

\frac{\partial w}{\partial t}  = y(e^t) +(x+z)*(cos(t))  - 3y*sin(3t)

Step-by-step explanation:

First, note that

\frac{\partial x}{\partial t}  = e^{t} \\\frac{\partial y}{\partial t}  = cos(t)\\

And using the chain rule in one variable

\frac{\partial z}{\partial t}  = -3sin(3t)

Now remember that the chain rule in several variables sates that

\frac{\partial w}{\partial t}  = \frac{\partial w}{\partial x} * \frac{\partial x}{\partial t} + \frac{\partial w}{\partial y} * \frac{\partial y}{\partial t} + \frac{\partial w}{\partial z} * \frac{\partial z}{\partial t}

Therefore the chain rule in several variables would look like this.

\frac{\partial w}{\partial t}  = y(e^t) +(x+z)*(cos(t))  - 3y*sin(3t)

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