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3 years ago

What is quadrant of (-3, -4)

Mathematics

2 answers:

guajiro [1.7K]3 years ago

7 0

Answer:

The point (-3,-4) would be in the lower left quadrant of a graph, also known as quadrant 3

Step-by-step explanation:

X and Y are both negative

ch4aika [34]3 years ago

7 0

Answer:

Third quadrant

Step-by-step explanation:

the Y- intercepts And the X-intercepts they are negative in the third quadrant

I hope you'll find these useful

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What are the solutions to the following system of equations?<br><br> x − y = 6<br> y = x2 −6

anastassius [24]

The solutions to the given system of equations is (0, -6) and (1, -5)

<h3>Simultaneous equations</h3>

From the question, we are to determine the solutions to the given system of equations

The equations are

x − y = 6 --------- (1)

y = x² −6 ---------- (2)

From equation (1)

x - y = 6

∴ x = 6 + y ------- (3)

Substitute into equation (2)

y = x² −6

y = (6+y)² −6

y = (6+y)(6+y) -6

y = 36 + 6y + 6y +y² -6

y = 36 + 12y + y² - 6

Simplifying

y² + 12y - y + 30 = 0

y² + 11y + 30 = 0

Solve quadratically

y² + 11y + 30 = 0

y² + 6y + 5y + 30 = 0

y(y +6) +5 (y +6) = 0

(y + 5)(y + 6) = 0

y + 5 = 0 OR y + 6 = 0

y = -5 OR y = -6

Substitute the values of y into equation (3)

x = 6 + y

When y = -5

x = 6 + (-5)

x = 6 -5

x = 1

When y = -6

x = 6 + (-6)

x = 6 -6

x = 0

∴ When x = 0, y = -6 and when x = 1, y = -5

Hence, the solutions to the given system of equations is (0, -6) and (1, -5)

Learn more on Solving simultaneous equations here: brainly.com/question/16863577

#SPJ!

7 0

2 years ago

Find the surface area of the triangular prism shown below.

ira [324]

Answer:

150ft²

Step-by-step explanation:

surface area = (2×½×8×3)+(8+5+5)×7

= 24+126

= 159 ft²

7 0

3 years ago

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