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Mademuasel [1]
3 years ago
11

A student bought n books with 20 dollars and 10-n books with 30 dollars each if p is the total price of the books then which one

of the following is correct
A p=300-10n
B.P=3n+200
C.P=600-5n
D.P=6n+500​
Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

(C)

Step-by-step explanation:

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Identify the values of the variables. Give your answers in the simplest radical form.
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Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

sin(60) = \frac{9}{k}

Multiply both sides by k

k*sin(60) = 9

Divide both sides by sin(60)

k = \frac{9}{sin(60)}

k = \frac{9}{\frac{\sqrt{3}}{2}}

k = 9*\frac{2}{\sqrt{3}}

k = \frac{18}{\sqrt{3}}

Rationalize

k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{18\sqrt{3}}{3}

k = 6\sqrt{3}

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

tan(60) = \frac{9}{f}

Multiply both sides by f

f*tan(60) = 9

Divide both sides by tan(60)

f = \frac{9}{tan(60)}

k = \frac{9}{\sqrt{3}}

Rationalize

k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{9\sqrt{3}}{3}

k = 3\sqrt{3}

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Answer:

<em>Vertex: (3,4)</em>

Step-by-step explanation:

<u>Vertex form of the quadratic equation</u>

The vertex form of the quadratic function has the following equation:

y=a(x-h)^2+k

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The parabola is given as:

y=2(x-3)^2+4

Comparing with the equation:

a=2, Vertex: (3,4)

The graph of the parabola is shown in the image below

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Answer:

1. $90

2. $85

3. $ 149.6Step-by-step explanation:

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