One way to solve this would be to graph both y=x^2+6x+18 and y=2 - 1/x. If the graph of the polynomial is always higher up (above) the graph of y=2-1/x, that alone is sufficient cause to state that the poly is always greater than 2-1/x.
You could also do this algebraically: write the inequality
x^2+6x+18 > 2 -1/x. This can be rewritten as x^2+6x+18-2+1/x > 0, or
x^2+6x+16+1/x > 0
Try x=-3. Then 9-18+16-1/3 = 6 2/3, which is greater than 0.
Or you could graph x^2+6x+16+1/x by hand or on a calculator. Is the graph always above the x-axis? If so, <span>x²+6x+18 is always greater than 2-1/x.
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There are 60 minutes in 1 hr, so in 1 hour, her heart beats 65(60)
24 hours in 1 day, so it beats in 1 day 24(65 * 60)
365 days in 1 year, so it beats in 1 year, 365(24 * 65 * 60)
how much will it be in 10 years then? 10(365 * 24 * 65 * 60).
Answer:
y=2x-5 and y=3-2x
Step-by-step explanation:
Answer:
b Superscript positive
Step-by-step explanation:
Negative exponents in the denominators can be evaluated by moving the function from the denominator to the numerator and changing the power from negative to the positive.
We have
1/b⁻² = b²
Moving the function with a power from denominator to numerator or from numerator to denominator changes the sign of the power. It is not equal to zero.
This is the property of exponents.
To start, we need to define what a “solution” is, since you’re measuring that volume. The solution refers to the entire mixture of liquids that Dr. Watson mixes together, so the solution that he creates is a mixture of his detergent, alcohol, and water. The volume of the mixture is determined by the volumes of each of the ingredients and will be the sum of all of the ingredients’ volumes when they are combined. So, the total volume will be:
volume of detergent + volume of alcohol + volume of water
400 mL + 800 mL + 1500 mL
1200 mL + 1500 mL
2700 mL
The total volume of the mixture would be 2700 mL, or 2.7 L (use a conversion between mL and L).
Hope this helps!
