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3 years ago

Need help here! Tytyty

Mathematics

1 answer:

Sav [38]3 years ago

6 0

Step-by-step explanation:

First, we want to find profit given revenue and cost. Because profit = revenue - cost, we can write the profit function, P(x), as R(x) - C(x) and go from there.

P(x) = R(x) - C(x)

P(x) = (-x²+24x) - ( 10x + 30)

P(x) = -x²+24x - 10x-30

P(x) = -x²+14x-30

In a quadratic function such as this, the graph opens downward (meaning that it goes from up to down) if the leading coefficient is negative and vice versa. Here, since -1 is attached to x², we can say that the graph opens downward. The point where the direction of the slope changes (when it goes from up to down), or the peak of the quadratic, is called the vertex.

The x value of the vertex is given by -b/(2a) in a quadratic of form ax²+bx+c. As a=-1 and b=14 here, we can say that -b/(2a) =

-14/(2*-1) = -14/-2

= 7

Therefore, the x value of the vertex, or the number of containers sold that maximizes profit, is 7.

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Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3. A) (2, 2) B) (4, 1) C) (–6, 6) D) (4

Yuri [45]

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete we need point P and point Q.

let us assume P is at (3,1) and Q is at (-2,4)

To find the coordinate of the point that divides a line segment PQ with point P at $(x_1,y_1)$ and point Q at $(x_2,y_2)$ in the proportion a:b, we use the formula:

$x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1$

line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:

$x-coordinate:\\\frac{5}{5+3}(-2-3)+3 \\\\While \ for\ y-coordinate:\\\frac{5}{5+3}(4-1)+1$

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4 years ago

11. What is the sign of the product of any odd number of

ioda

Explanation:

The sign of the product of any odd number of negative integers is positive because when two minuses are multiplied with each other, it will result in a positive number.

For example:

-3 x -5
=> -1 x -1 x (3 x 5)
=> 1 x (3 x 5)
=> 15 (Which is positive)

Hoped this helped!

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3 years ago

Jackson says he has an odd number of model cars. He has 6 cars on one shelf and 8 cars on another shelf. Is Jackson correct? Exp

Kisachek [45]

No Jackson incorrect because 6&8even number 6+8=14 even.

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3 years ago

QUICK WHATS THIS ANSWER?!?

Mars2501 [29]

Answer:

C. $-x-6>-3.5$

Step-by-step explanation:

One is asked to find which inequality has ( $x=-3$ ) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.

Simplify each of the inequalities, then evaluate to see which one has ( $x=-3$ ) as a part of its solution set.

A. $-x -6$

$-x$

$x>-2.5$

B. $-x-6>3.5$

$-x>9.5$

$x$

C. $-x-6>-3.5$

$-x>2.5$

$x$

D. $x-6>-3.5$

$x>2.5$

As can be seen, option (C $-x-6>-3.5$ ) is the only one that fits this requirement. Since option (C) simplifies down to ( $x$ ) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).

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3 years ago

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Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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