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3 years ago

B' (-3,-4) is the image of B after a reflection in the y-axis,What are the coordinates of B?

Mathematics

1 answer:

gladu [14]3 years ago

3 0

Answer:

The coordinates of B will be (3,-4).

Step-by-step explanation:

If a point on the coordinate plane reflects across the y-axis then its y-coordinate will not alter but the x-coordinate will change by its sign only.

Now, if B'(-3,-4) is the image of B after a reflection in the y-axis then we can say B is the image point when the original point is B'(-3,-4) after reflection in the y-axis.

Therefore, the coordinates of B will be (3,-4). (Answer)

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A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s

ella [17]

The demand equation illustrates the price of an item and how it relates to the demand of the item.

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

From the question, we have:

$Plates = 300$

$Price = 20$

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

$\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}$

The slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$m = \frac{25-20}{290-300}$

$m = \frac{5}{-10}$

$m = -\frac{1}{2}$

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

$R(x) = (300 - 10x) \times (20 + 5x)$

Open the brackets to calculate the maximum revenue

$R(x) =6000 + 1500x - 200x - 50x^2$

$R(x) =6000 + 1300x - 50x^2$

Equate to 0

$6000 + 1300x - 50x^2 =0$

Differentiate with respect to x

$1300 - 100x =0$

Collect like terms

$100x =1300$

Divide by 100

$x =13$

So, the price at maximum revenue is:

$Price= 20 + 5x$

$Price= 20 + 5 * 13$

$Price= 85$

In conclusion:

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

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3 years ago

Write 0.33 as a fraction in simplest form

Georgia [21]

33/100
this is the simplest form
tnx
hope i hepled you

6 0

3 years ago

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He function f(d) = –3d + 60 gives the remaining life of a flashlight battery, in hours, d days after the start of a hike.

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