Two mechanics worked on a car. The first mechanic charged $105 per hour, and the second mechanic charged $115 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2675. How long did each mechanic work?
First mechanic: hours
х
5
?
Second mechanic: hours
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answer: x=3 and y=4

step-by-step explanation:

the correct answer is $7.38

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct