If vector u = <-3.5, -1.5> and vector v = <-1.25, 2.25>, which graph shows the resulting vector for 2v − u?
1 answer:
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Answer: (2,1)
Step-by-step explanation:
The two equations given are:
y = 3 -x
y = x - 1
The question is asking to determine the point of intersection for two linear functions aka two lines.
Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.
- Add x to both sides to get 2x - 1 = 3
- Add 1 to both sides to get 2x = 4
- Divide both sides by 2 to get x = 2
Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.
The point of intersection is (2,1).
Hope this helps ^_^
Incomplete Question (See Complete Question Below)
A bag contains 10 red marbles and 15 green marbles.If Yuki selects a marble from the bag without looking, what is the probability that she will pull a red marble?
A-1/5
B-2/5
C-1/2
Answer:
The probability of pulling a red marble is
Step-by-step explanation:
Given
Red Marble = 10
Green Marble = 15
Required
The probability of picking a red marble
First, the total number of marble has to be calculated
Total = Red Marble + Green Marble
Total = 10 marbles + 15 marbles
Total = 25 marbles
The probability of an event is often calculated by dividing the number of required outcomes by the number of possible outcomes.
In this case, the probability of pulling a red marble is calculated as follows:
Where P(R) represents probability of pulling a red marble
n(R) represents number of red marbles
n(R) = 10
T represents total number of marbles
T = 25
By substitution,
becomes
Reduce fraction to lowest term by dividing the numerator and denominator by 5
Hence, the probability of pulling a red marble is