Given:
Line A goes through (0,y) and (-2,0).
Line B goes through (1,2) and (3,10).
To find:
The value of y for which the system of given linear equation (equation of line A and line B) has no solutions.
Solution:
Two linear equation has no solutions if they are parallel line.
Slope formula:
We know that the slopes of two parallel lines are the same.
So, the given system of given linear equation has no solutions if
Slope of line A = Slope of line B
Multiply both sides by 2.
Therefore, the required value of y is 8.
Answer:
32 inches
Step-by-step explanation:
Each day its height doubles.
Day 1: 2
Day 2: 4
Day 3: 8
Day 4: 16
Day 5: 32
Answer:
2 lessons
Step-by-step explanation:
$25+$50=$75
$25+$50=$75
$75+$75=$150
$150 for 2 lessons not passing the budget of $175
Answer: NO
<u>Step-by-step explanation:</u>
In order for the function to be one-to-one, it must pass the vertical line test AND the horizontal line test.
The vertical line test is where you draw a vertical line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate x-value.
The horizontal line test is where you draw a horizontal line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate y-value.
The graph provided passes the vertical line test but fails the horizontal line test. <em>One example is that there are two x-intercepts.</em>
Answer:
P(heads appears on only the last toss) = 
Step-by-step explanation:
A fair coin is tossed 3 times in a row.
When a coin is tossed we get a tail or head T or H
The possible outcomes of 3 coins are
T T T , H H H , T H H, H T H, H H T, H T T , T H T, T T H
So total of 8 possible outcomes
heads appears on only the last toss , first and second toss should be tail
So its T T H. Only one possibility
Probability(any event) = number of outcomes / total outcomes
P(heads appears on only the last toss) =
