Answer:
Step-by-step explanation:
<u>Rational Inequality</u>
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:
Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:
Operating:
The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
This is a problem of inequalities. An inequality stands for the relationship between two values when they are different. In this problem, we need to solve for x. So, we have that:
Subtracting 3b from each side of the equation, we have:
Multiplying by the direction of the inequality changes if is greater than zero, so we have that solving for x the result is:
Answer:
C. 0.0067
Step-by-step explanation:
6.7*10^-3
Write in standard form.
This question pertains to scientific notation, a way to easily express really large or really small numbers.
You'll first notice that 10 has a negative exponent. This tells you that the number is going to be smaller than 10.
This is because 10^-3 translates to 1/10^3 based on exponent rules
With that, you know that your equation is 6.7/10^3
<u>You can simplify that to:</u>
0.0067
In case you didn't know how I got there, 10^3 simply means 10 multiplied by itself 3 times.
The other method would be to look at your answer choices. Since we have a negative exponent, we can eliminate D.
Next, since we have a positive coefficient (6.7), we can eliminate A and B.
That leaves us with the answer C. 0.0067
The second equation is correct. Nina initally had 17 marbles in her bag. Her mother placed m marbles into her bag. After counting, she now has 34 marbles. Part of this 34 marbles is already her initial 17 marbles. Therefore, 17 marbles initially + m unknown marbles = 34 marbles. The equation <span>17 + m = 34 is the answer.</span>