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2 years ago

Given that (x-3)(Ax²+bx+c)=x³-7x-6,find the value of A,B and C

Mathematics

1 answer:

faltersainse [42]2 years ago

4 0

Answer:

Given that (x-3) (Ax²+bx+c) = x³-7x-6, find the value of A, B and C

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100 POINTS ANSWER FAST

Dennis_Churaev [7]

x=−9 and y=5
D.(−9, 5) :)))

8 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

Read more about demand equations at:

brainly.com/question/21586143

3 0

3 years ago

A four-pack of 4242-ounce ink cartridges sells for $85.99$85.99. The expression 42c42c represents the amount of ink in a number

masya89 [10]

The variable cc refers to how much ink is in a certain number of cartridges. If the box says 42cc, that means the amount of ink in those particular cartridges is 42. If a box said 12cc, the amount would be 12. The variable cc just states the amount of ink you can expect from a particular amount of cartridges.

8 0

3 years ago

How can you find the number of feet in 1 million inches

Fofino [41]

There is exactly 8333.3333 feet in one million inches

7 0

4 years ago

PLEASE HELP IMAGE IS BELOW!!

guajiro [1.7K]

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

6 0

3 years ago

Given that (x-3)(Ax²+bx+c)=x³-7x-6,find the value of A,B and C​

Given that (x-3)(Ax²+bx+c)=x³-7x-6,find the value of A,B and C