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goldenfox [79]
3 years ago
9

A painter uses the expression 35 h + 30 c to determine how much he charges a customer for a job that takes h hours and c cans of

paint. His last job required 3 cans of paint and took 15 hours to complete. How much did the painter charge?
Mathematics
1 answer:
ira [324]3 years ago
4 0

Answer:

615

Step-by-step explanation:

Here, there is an equation that determine the amount charged by a painter for a paint job. The equation takes into cognizance the number of hours used and also the number of paints used.

To actually get the amount he charged, we need to substitute the number of cans and number of paints he used.

Now to get that amount, we work as follows:

Let’s say the amount is A.

For 3 paint cans and 15 hours of work, we substitute c with 3 and h with 15

A = 35h + 30c

A = 35(15) + 30(3)

A = 525 + 90 = 615

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And if we replace t=2 in the velocity function we got:

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Step-by-step explanation:

For this case we have defined the following function for the position of the particle:

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Part a

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v(t) =x'(t) = \frac{dx}{dt} = 3t^2 -12t +9

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v(t) = 3t^2 -12t +9

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And we see that for a=0.5 >0.25=b we have that f(b)>f(a) so then the function is decreasing on this case.  

1

We have a minimum at t=2 since at this value w ehave the vertex of the parabola :

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And at t=-2 v(2) = -3 that represent the minimum for this function, we see that if we select two values let's say 1.5 and 1.75

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2

We see that the function would be increasing.

3

For this interval we will see that for any two points a,b with a>b we have f(a)>f(b) for example let's say a=3 and b =4

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Part c

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