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mr Goodwill [35]
3 years ago
14

In order to save money for prom this weekend, tom is going to walk his neighbor's dog for $6 per hour and was cars for $8 per ho

ur. His mother told him he can work no more than 15 hours in a week in order to keep up with his homeowrk. If Tom would like to make at least $72 to cover prom expenses, help him determine combinations of hours he can work between these two jobs
Mathematics
2 answers:
insens350 [35]3 years ago
5 0
Tom can wash cars for five hours and walk the dog for 5 hours. Then he will have $72 for prom
RUDIKE [14]3 years ago
5 0
-Tom can wash cars for 9 hours 
-Tom can walk dogs for 12 hours 
-Tom can walk dogs for 4 hours then wash cars for 6 hours

All of these scenarios are under 15 hours and will make 72 dollars. If your teacher wants you to include both jobs then the last option will work the best but washing cars will get Tom the most money sooner. Have a nice day I hope this helps :) 
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Answer:

5

Step-by-step explanation:

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3 years ago
Factor 16x^2 + 49. Check your work.
Shtirlitz [24]

Answer:

16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})

Step-by-step explanation:

Given : Expression 16x^2+49

To find : Factor the expression ?

Solution :

The given expression is a quadratic function y=ax^2+bx+c the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}              

x=\frac{\pm\sqrt{-3136}}{32}          

x=\frac{\pm56i}{32}      

x=\frac{56i}{32},\frac{-56i}{32}      

x=\frac{7i}{4},\frac{-7i}{4}              

Factors are (x-\frac{7i}{4}),(x+\frac{7i}{4})        

Therefore, 16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})    

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(c-7)^2=4\implies c-7=\pm2\implies c=9\text{ or }c=5

8 0
3 years ago
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