Answer:
20 * 19.52 = 390.40
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Answer:
The function is decreasing in the following intervals
A. (0, 1)
C. (2, pi)
Step-by-step explanation:
To answer this question, imagine that you draw lines of slope m parallel to the function shown at each point.
-If the slope of this line parallel to the function is negative for those points then the function is decreasing.
-If the slope of this line parallel to the function is positive for those points then the function is increasing.
Observe in the lines drawn in the attached image. You can see that they have slope less than zero in the following interval:
(0, 1) U (2, pi)
Therefore the correct option is:
A. (0, 1)
C. (2, pi)
Answer: Choice D) 7x+2; all real numbers
-----------------------------------------------------
Work Shown:
f(x) + g(x) = [ f(x) ] + [ g(x) ]
f(x) + g(x) = [ 4x-5 ] + [ 3x+7 ]
f(x) + g(x) = 4x-5 + 3x+7
f(x) + g(x) = (4x+3x) + (-5+7)
f(x) + g(x) = 7x+2
The domain of y = 7x+2 is the set of all real numbers. There are no restrictions to worry about such as dividing by zero or taking the square root of a negative number. We can plug in any real number we want for x to get some output for y. This is one of the many properties of linear equations.
Notice that 6 is a factor of all three coefficients and thus can be factored out:
6x^2 -42x-54 => 6(x^2 - 7x - 9). x^2 - 7x - 9 does not factor so easily. Remembering that obtaining roots of a quadratic makes it easy to write out the corresponding factors, let's apply the quadratic formula to x^2 - 7x - 9:
a=1, b = -7, c = -9. Then the discriminant is b^2 - 4ac, or (-7)^2 - 4(1)(-9), or 85.
Thus, the roots are:
7 plus or minus √85 7 plus or minus 9.220
x = -------------------------------- = ------------------------------------
2 2
Let's call these roots "a" and "b." Then the factors of the quadratic x^2 - 7x - 9 are (x-a) and (x-b), or, in this case, (x-8.11) and (x+1.11).
The original quadratic has three factors: 6, (x-8.11) and (x+1.11).
Answer:
$ 1166.40
Step-by-step explanation:
it costs 14.58 for every 1000
so find out how many thousands are in 80,000 and multiply that by 14.58
80,000 / 1,000 = 80
80 * 14.58 = $ 1166.40 <===