Find the selling price. Where necessary, round to the nearest cent. Regular price:$14.99. Percent of discount:15%

Mathematics

1 answer:

RSB [31]3 years ago

4 0

Answer:

the price is approximately $12.75

Step-by-step explanation:

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Help Please need help

Olenka [21]

Table:

x y

-3    0.5

-2    1

-1     2.5

0      5

1      8.5

Now, y = ax^2 + bx + c

Start replacing x = 0 and y = 5

5 = a(0) + b(0) + c => c = 5.

Now, replace any other two pair of data:

(-2, 1) => -1 = a(-2)^2 + b(-2)

-1 = 4a - 2b

(1, 8.5) => 8.5 = a(1)^2 + b(1)

8.5 = a + b

Solve the system

4a - 2b = - 1
a + b = 8.5

=>

4a - 2b = - 1
2a + 2b = 17
-------------------------

6a = 16

=> a = 16 / 6 = 8/3

b = 8.5 - a = 17/2 - 8/3 = 35/6

=> y = (8/3)x^2 + (35/6)x + 5 <--------- answer

6 0

2 years ago

A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri

8090 [49]

Answer:

Weight of dog: 34 pounds,

Weight of cat: 12 pounds.

Step-by-step explanation:

Let d represent weight of dog and c represent weight of cat.

We have been given that a dog weighs two pounds less than three times the weight of a cat.

3 times weight of cat: $3c$