Q^2 - 125 = 0
q^2 = 125
q = +/- sqrt 125 = 11.18, -11.18
Hi , the answer is 45 miles , because 135 miles divided by 3 hours [180 minutes] equals to 0.75 , 180 minutes times 0.75 equals to 135 miles , 2 hours [120 minutes] times 0.75 equals to 90 miles and 1 hour [60minutes] times 0.75 equals to 45 miles.
For basic exponential functions the domain is "all real numbers." The graph is above the x-axis and never touches it, so the range is (0, infinity).
For f(x) = (1/6)^x + 2, the domain is the same as before, but the range changes. There will be no graph touching the line y = 2 or showing up below that line. Range is (2, infinity).
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Answer:</h2>
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Step-by-step explanation:</h2>
By using the Test Intervals for Polynomial we can solve this problem. The following steps helps us to determine the intervals on which the values of a polynomial are entirely negative or entirely positive.
1. You need to find all real zeros of the polynomial arranging them in increasing order from smallest to largest. We call these zeros the critical numbers of the polynomial.
Before we start applying this steps, let's multiply the entire inequality by -1 changing the direction of the inequality, so the result is:
So the real zeros are:
2. Then you must use the real zeros of the polynomial to determine its test intervals.
3. Take one representative x-value in each test interval so you must evaluate the polynomial at this value. If the value of the polynomial is negative, the polynomial will have negative values for every x-value in the interval. On the other hand, if the value of the polynomial is positive, the polynomial will have positive values for every x-value in the interval.
<u>Polynomial values</u>
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So the solution is:
So the interval at x = 1 is open because because the inequality does not include the value at which the polynomial equals zero.