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3 years ago

13

A shoe store uses a 50 percent markup for all of the shoes it sells. What should be the selling price of a pair of shoes that ha

s a wholesale cost of 65$

1 answer:

Margarita [4]3 years ago

5 0

Answer:

85.5

Step-by-step explanation:

57 + 57/2 = 57 + 28.5 = 85.5

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

The area of a square is 4 square inches. what is the length of each side of the square

VladimirAG [237]

2 inches, because 2*2 =4

8 0

3 years ago

It is recommended that people have 1 gram of calcium each day. How many milligrams of calcium is that?

user100 [1]

Answer:

1,000

Step-by-step explanation:

1,000 miligrams is 1 gram hope this helps god bless

8 0

3 years ago

Two numbers have an absolute value of 16. Which of the two numbers is greater than 12

torisob [31]

The two numbers are l-16l and l16l. the one that is greater than 12 is l16l

8 0

3 years ago

Read 2 more answers

X2+9x+20 plz help me with it plz

ICE Princess25 [194]

Answer:

11x + 20

Step-by-step explanation:

x2 + 9x + 20

2x + 9x + 20

11x + 20

Hope this helps!

4 0

3 years ago

Read 2 more answers