Complete Question:
If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.
1. y = 3x + b
2. y = mx + 9
Answer:
1. Intercept, b = -1
2. Slope, m = -2
Step-by-step explanation:
Given the following data;
Points on the line (x, y) = (2, 5)
To find the missing values;
Mathematically, the equation of a straight line is given by the formula;
y = mx + b
Where;
- m is the slope.
- x and y are the points
- b is the intercept.
1. y = 3x + b
Substituting the value of x and y, we have;
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
<em>Intercept, b = -1</em>
2. y = mx + 9
Substituting the value of x and y, we have;
5 = m(2) + 9
5 = 2m + 9
2m = 5 - 9
2m = -4
m = -4/2
<em>Slope, m = -2</em>
Answer:
Step-by-step explanation:
Given: There are 2 classes of 25 students.
13 play basketball
11 play baseball.
4 play neither of sports.
Lets assume basketball as "a" and baseball as "b".
We know, probablity dependent formula; P(a∪b)= P(a)+P(b)-p(a∩b)
As given total number of student is 25
Now, subtituting the values in the formula.
⇒P(a∪b)= 
taking LCD as 25 to solve.
⇒P(a∪b)= 
∴ P(a∪b)=
Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is .
Answer:
5x + 3y = 2
5x - 3y = -22
Step-by-step explanation:yes
Answer: it’s square root(72) and no the length is not a rational number
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
