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3 years ago

Solve the following to the problem

Mathematics

1 answer:

algol [13]3 years ago

6 0

Answer:

I think its A

Step-by-step explanation:

I'm ganna do some scechy stuff doda doda

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A retailer who sells fashion boots estimates that by selling them for x dollars each, he will be able to sell 70−x boots each we

Marat540 [252]

Answer: $35 is the selling price and $1225 is the maximum revenue.

Step-by-step explanation:

Since we have given that

$R(x)=-x^2+70x$

We need to find the maximum revenue.

So, We will first derivative it w.r.t. x.

So, it becomes,

$R'(x)=-2x+70$

Now, we will find critical points.

So, R'(x) = 0

So, it becomes,

$-2x+70=0\\\\-2x=-70\\\\x=\dfrac{70}{2}=35$

Now, to check whether it yields maximum revenue or not.

So, second derivative w.r.t. x, we get that

R''(x) = -2<0

So, At $35, it yields maximum revenue.

Amount of maximum revenue would be

$R(35)=-(35)^2+70\times 35=-1225+2450=\$1225$

Hence, $35 is the selling price and $1225 is the maximum revenue.

7 0

3 years ago

A parabola can be drawn given a focus of (8, -1)(8,−1) and a directrix of y=-11y=−11. Write the equation of the parabola in any

Sav [38]

Answer:

(x - 8)² = 20(y + 6)

Step-by-step explanation:

The focus of the parabola is (8,-1) and the equation of the directrix is y = - 11.

So, the parabola opens up and the axis of symmetry is x = 8 line.

Now, the axis of symmetry and the directrix meet at the point (8,-11).

So, the vertex of the parabola will be the midpoint of (8,-1) and (8,-11) i.e. (8,-6).

Now, half of the distance between the focus and the directrix is = a = $\frac{11 - 1}{2} = 5$ units.

So, the equation of the parabola in vertex form will be

(x - 8)² = 4 × 5 × (y + 6)

⇒ (x - 8)² = 20(y + 6) (Answer)

6 0

3 years ago

Find the value of x for which p is parallel to q , if m<1=(3x) and m<3=105. The diagram is not scale.

lesya [120]

P parallel to q
So m<1 =m <3
3x=105
x=35
tell me if you don't understand

3 0

4 years ago

Micah needs to buy some new shoes for football. At the sporting goods store, he finds 2 shoe pairs on sale for $24.80 each. He b

NikAS [45]

Answer:

$35.99

Step-by-step explanation:

He saved 22.38 so divide by two and you get 11.19 and add that to the price of each shoe on sale you get 35.99

3 0

3 years ago

Read 2 more answers

What is the quotient (x3 + 8) ÷ (x + 2)? x2 + 2x + 4 x2 – 2x + 4 x2 + 4 x2 – 4

MissTica

Answer:

$x^2-2x+4$

Step-by-step explanation:

The given expression is

$\frac{x^3+8}{x+2}$

Recall and use the following property to factor the numerator;

$a^3+b^3=(a+b)(a^2-ab+b^2)$

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

This will give us;

$\frac{x^3+2^3}{x+2}=\frac{(x+2)(x^2-2x+4)}{(x+2)}$

Simplify;

$\frac{x^3+2^3}{x+2}=x^2-2x+4$

7 0

3 years ago