Answer:
Part A:
x+y= 95
x = y+25
Part B: 35 minutes
Part C: No
Step-by-step explanation:
Eric spends a total of 95 minutes daily playing basketball and volleyball combined.
x+y= 95
Where:
x =minutes Eric plays basketball
y = minutes he allocates to volleyball
He dedicates 25 minutes more to basketball compared to volleyball.
x = y+25
Equations are:
x+y= 95
x = y+25
Substituting x=y+25 into the first equation yields:
(y+25) + y =95
Solving for y
y+25+y =95
25+2y=95
2y=95-25
2y=70
y = 70/2
y = 35 minutes
Part C: No
If x = 35
x+y= 95
35+y =95
y= 95-35
y = 60 minutes
Inserting y=60 into the other equation:
x = y+25
35 = 60+25
35 ≠85
Given parameters:
Equation:
(x-4)²=9
Problem: Solve the equation by both factoring and extracting the square root.
Solution:
Starting equation:
(x-4)²=9
Subtracting 9 from both sides brings us to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
This fits the concept of the difference of squares;
x² - y² = (x + y)(x-y)
Let x = x-4 and y = -3
Then input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 1) = 0
S thus,
x - 7 = 0 or x-1 = 0
x = 7 or 1
<pBy extracting the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; however, this is not the sole solution
Thus, direct extraction of the square root is not the method for complete solutions.
The graph indicates that x never goes below 0. This means the point (-1,0) is not included in the graph. Therefore, D is the only valid option.
Answer:
Step-by-step explanation:
Characteristics of a bar graph include:
1). There must be uniform spacing between the bars or columns.
2). Each bar or column should have a consistent width.
3). All bars must share the same baseline.
4). The height of each bar corresponds to the data value.
Based on these criteria,
- Spacing between London-Paris and Rome-Oslo isn’t uniform.
- Width of the Munich bar differs from the others.
