The inequality is a > 12, which means a is greater than 12. This means that we are looking for numbers that are greater than 12 to place into the solution set. Options A and B are incorrect because 10 and 11 are both numbers less than 12, respectively. Option D is also incorrect because the inequality specifies that the numbers in the solution must be greater than 12, not equal to it, so 12 is not a solution.
This leaves option C as the correct answer, because all of the solutions in the set (13, 14, and 15) are greater than 12.
Therefore, your answer is C.
Hope this helps!
A) yes
B) yes
C) no
For each of these, substitute the value of x in the ordered pair into x in the function.
For A, x = -5; -5<2, so the piece of the function we want is f(x) = 3. In our ordered pair, y=f(x)=3, so yes, it is a solution.
For B, x = 2; 2≤2<6, so the piece of the function we want is f(x) = -x+1. In our ordered pair, y=f(x)=-1; -2+1=-1, so yes, it is a solution.
For C, x = 8; 8≥6, so the piece of the function we want is f(x) = x. In our ordered pair, y=f(x)=-7; -7≠8, so no, it is not a solution.
I assume a unit rate is simply ms^-1 or whatever.
In order to determine m/s one must make the "per whatever" part equal to 1. In this case it is seconds, so we must make seconds equal to 1.
If in 17 seconds it travels 238 metres, that means in 1 second it travels 238/17m=14m
Therefore the unit rate (speed) of the car is 14m/s or 14ms^-1
Step-by-step explanation:
This seems to be calculus 1.
<u>Question a</u>
We have 
m = slope = derivative
Find the derivative / slope of
We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.
when x = a
<em>Now that we have this information, we can answer question b</em>
<u>Question b</u>
<u>The tangent line for Point (1, 12)</u>
First find the slope by using our derivative.
Now that we have our slope, use point slope form to find our tangent line
<u>Now lets do the same for the Point (2, 13)</u>
Find the slope at the point.
Now find the tangent line using point slope form of a line.
Now graph the lines, which I have done and you can see by viewing the image I have attached.
Answer:
3: No
4: 25
Step-by-step explanation:
3: It won't because not everyone is the same height and there will be variation in the mean height.
4: A larger sample size will give a more accurate representation of the population, where as a sample size of 5 is much more likely to have a higher percentage of outliers, and each outlier matters much more in finding the mean. In a sample size of 25, each outlier matters much less.
