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kozerog [31]
3 years ago
15

Happy Paws charges $22.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Wr

ite an equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer:

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers =  11 + 5.75h

3.2 hours

Step-by-step explanation:

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers =  11 + 5.75h

22 + 4.50h =  11 + 5.75h

Collect like terms

22 + 11 = 4.5h + 5.75h

33 = 10.25h

Solve for h

33/10.25 = h

h = 3.22

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3 0
3 years ago
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...

8 0
3 years ago
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Step2247 [10]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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