Answer:
The highest score is 91 and the lowest score is 53
Step-by-step explanation:
The highest and lowest scores on a test taken by 80 students are within 19 points of the average of the exam. The average is 72.
1. The method used to solve this question, is the use of absolute values.
2. Let x be the value that we can use to represent the lowest and highest scores. The equation using absolute values is given as:
| x - 72 | = 19.
Therefore:
x - 72 = 19 (highest score) or
- (x - 72) = 19 (lowest score)
3. We have to find the value of x for which it is the highest or lowest score.
The highest score is given as:
x - 72 = 19
x = 19 + 72
x = 91
For lowest score:
-(x - 72) = 19
-x + 72 = 19
x = 72 - 19
x = 53
The highest score is 91 and the lowest score is 53
Answer:
B. y ≤ 1/2x + 3
Step-by-step explanation:
To write the equation of the inequality, use the linear equation form y = mx + b. The y-intercept is b and is where the line intersects the y-axis. Here b = 3. You can find the slope m by counting between points the vertical and horizontal distances. Here it is 1/2. Substitute m = 1/2 and b = 3.
y = 1/2x + 3
Since this is an inequality and a solid line has been used, you must use ≤ and ≥. To determine which is for this equation, test the point (0,0) in each.
y ≤ 1/2x + 3 y ≥ 1/2x + 3
0 ≤ 1/2(0) + 3 0 ≥ 1/2(0) + 3
0 ≤ 3 True 0 ≥ 3 False
Since (0,0) is a part of the set of solutions, the equation which is true is the correct equation.
Answer:
Left 7 down 6 Then count two spaces left right up and down and draw a circle
Step-by-step explanation:
Your answer is going to be in the bottom left corner, you count 7 vertical lines to the left, then from there you count 6 horizontal lines down. Since the Radius is 2 the diameter is 4. Good luck, if this wasn't helpful enough you can get a graphing calculator for yourself.
Answer:c is -3
D is a and b
Step-by-step explanation:
Answer:
it is 2/11
Step-by-step explanation:
that is the answer