Answer:
See below for answers
Step-by-step explanation:
<u>Problem 1</u>
<u />
Therefore, the second option is correct.
<u>Problem 2</u>
<u />


Therefore, the solution set is
, making the second option correct.
<u>Problem 3</u>
<u />


Therefore, the solution set is
, making the fourth option correct
Answer:
x-intercept: <u>(1,0)</u>
y-intercept: <u>(0,1)</u>
Step-by-step explanation:
Given: Find the x and y intercepts of 2x + 2y = 2
<h2><u>X-intercept</u></h2>
To solve for a x - intercept we have to substitue 0 in for y and solve for 
Lets do it:
2x + 2(0) = 2
2x + 0 = 2
2x = 2
x = 1
Therefore, this means that when y = 0, x = 1 or (1,0)
<h2><u>Y-intercept</u></h2>
To solve for a y - intercept we have to substitue 0 in for x and solve for 
Lets do it:
2(0) + 2y = 2
0 + 2y = 2
2y = 2
y = 1
Therefore, this means that when x = 0, y = 1 or (0,1)
Answer:
The limit of the function does not exists.
Step-by-step explanation:
From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.
For x<2

The value of the function is -3 from all values of x which are greater than 2. At x=2, the line y=-3 has open circle. It means x=2 is not included.
For x>2

The value of y is 1 at x=2, because of he close circles on (2,1).
For x=2

Therefore the graph represents a piecewise function, which is defined as

The limit of a function exist at a point a if the left hand limit and right hand limit are equal.

The function is broken at x=2, therefore we have to find the left and right hand limit at x=2.



Since the left hand limit and right hand limit are not equal therefore the limit of the function does not exists.
Answer:
3/32
Step-by-step explanation:
The first question should be 3/8 as there are 3 "1"s on the spinner. The answer to the last one is "3/32". You take the 3/8 chances to get a one and multiply that by 1/4 to get a "B". Once you multiply you get .09375 which is 3/32 when converted. Please let me know if this is incorrect.
Total students = 24
students earning an A= 14
Probability = 14/24 = 7/12