Answer:
285 = 50h + 60; 4.5 hours
Step-by-step explanation:
$50 per hour - 50h
$60 for parts - 60
$285 total
285 = 50h + 60
225 = 50h
h = 4.5
The plumber worked for 4.5 hours to fix the leaky sink
Try this explanation+solution:
1. According to the given graph it is possible to define A - amplitude and B - frequency of this function, then to substitute them to its equation.
2. A=5 (max. and min. values for vertical); B=2 (two periods in the length 2π).
3. answer: y=5sin2x.
You can make some algebraic equations and solve it.
The first would be:
The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.
B
note that (f + g)(x) = f(x) + g(x)
f(x) + g(x) = -4x² - 6x - 1 - x² - 5x + 3 ( collect like terms )
= - 5x² - 11x + 2
30.
the multiplication of a decimal less than 1 and a whole number is always smaller than the whole number, because we are taking a fraction of the whole number.
31.
the product of a decimal greater than 1 and a whole number is always greater than the whole number because we are scaling the whole number.