Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1825. What was the rate charged per hour by each mechanic if the sum of the two rates was $170 per hour?

The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour

Step-by-step explanation:

Let

x ----> the amount charged per hour by the first mechanic

y ----> the amount charged per hour by the second mechanic

we know that

the sum of the two rates was $170 per hour

so

----> equation A

Together they charged a total of $1825

so

----> equation B

solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (65,105)

see the attached figure

therefore

The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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