To solve this absolute value equation, we can use find the solutions as follows taking into account the definition of absolute value, then, we have:

Now, we can solve both equations to find the solution(s):
First case:

Second case:

Then, both solutions are the same, because of the absolute rule (this is the point when y = 0, that is the x-intercept for this function.)
Therefore, the solution set is {19/20}.
Answer:
Step-by-step explanation:
The circle is divided into 5 sections. The probability that the needle lands on a particular color is equally likely.
So,

Probability of not blue = 1 - Probability of blue

Answer:
The one in the table on the left
Note that for the given values of x all of the y values are 2
This indicates a horizontal line, parallel to the x- axis with a slope of zero.
The equation of the line is y = c where c is the value of the y- coordinates the line passes through, in this case 2, thus
y = 2 is the equation of the line with zero slopeation
one of them is an undefined slope the other is a positive slope (Neither of them are a zero slope)
If the diameter is 18 inches, the radius is 9 inches. The formula for circumference is 2*pi*r, so it would be 2*3.14*9, so the circumference is 56.52 inches. But rounded to the nearest inch, it is 57 inches.
Answer:
100 blocks.
Step-by-step explanation:
Let x represent number of blocks built by Gage.
We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be
.
We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.




Number of blocks built by Colton:
.
Therefore, Colton had build 100 blocks.