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LenKa [72]
3 years ago
12

Create the quadratic function that contains the points (0-2), (1, 0) and (3, 10). Show all of your work for full credit.

Mathematics
1 answer:
solniwko [45]3 years ago
8 0

Answer:

My graphing calculator tells me the function is

.. f(x) = x^2 +x -2

_____

Since we recognize the y-intercept as being (0, -2), we only need to find the coefficients of x and x^2.

If you want to do this by hand, you can use

.. y = ax^2 +bx -2

to write 2 equations in a and b for the (x, y) values (1, 0) and (3, 10).

.. 0 = a +b -2

.. 10 = 9a +3b -2

To solve by substitution, you can let a = 2-b, and you have

.. 10 = 9(2 -b) +3b -2

.. 6b = 6 . . . . . . . . . . . add 6b-10

.. b = 1

.. a = 2 -1 = 1

Step-by-step explanation:

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Bazinga charges $16.50 per hour to dogsit. Complete the table and answer the questions below.
kobusy [5.1K]

Answer:

A)  c = 16.5h

B)   $74.25

C)  7 hours

Step-by-step explanation:

Bazinga charges $16.50 per hour to dog sit.

Therefore, to calculate the total charge, multiply the number of hours by the charge per hour:

\large \begin{array}{| c | c |}\cline{1-2} \sf number\:of\:hours & \sf charge\:in\:dollars\\\cline{1-2} 1 & 16.50 \\\cline{1-2} 3 & 49.50 \\\cline{1-2} 6 & 99.00 \\\cline{1-2} 8 & 132.00 \\\cline{1-2}\end{array}

<h3><u>Part A</u></h3>

As explained above, to calculate the total charge, multiply the number of hours worked by the charge per hour of $16.50

⇒ c = 16.5h

where:

  • h = number of hours worked
  • c = total charge (in dollars)

<h3><u>Part B</u></h3>

To calculate how much Bazinga will earn if they dog sit for 4.5 hours, substitute h = 4.5 into the equation and solve for c:

⇒ c = 16.5h

⇒ c = 16.5(4.5)

⇒ c = $74.25

<h3><u>Part C</u></h3>

To calculate how long it will take Bazinga to earn $115.50, substitute c = 115.5 into the equation and solve for h:

⇒ c = 16.5h

⇒ 115.5 = 16.5h

⇒ h = 115.5 ÷ 16.5

⇒ h = 7 hours

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