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const2013 [10]
3 years ago
12

The graph below shows the cost of pens based on the number of pens in a pack. What would be the cost of one pen?

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

9514 1404 393

Answer:

  A.  $1.50

Step-by-step explanation:

You can probably read the cost from the graph. Find the x-axis position corresponding to 1 pen and locate the point on the graph above that position. Then read the y-coordinate (cost) from the vertical axis. It will be sufficiently close to $1.50 that you can easily determine that to be the correct answer choice.

__

Cost per pen is found by dividing cost by pens.

  $4.50/(3 pens) = $1.50 /pen*

_____

* /pen would be pronounced, "per pen."

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What is the zero in the quadratic function f(x)= 9x^2-54x-19?
Alex17521 [72]

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is


x=\frac{-b+\sqrt{b^2-4ac} }{2a}.


It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}

We will now solve for the plus and the minus.

The plus,,,

x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3

and the minus...

x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...

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