Answer:
1.) Y = 5/3 X + 4
2.) Y = 9/4 X - 27/4
Step-by-step explanation:
Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is
Y = MX + C
Where the
Slope M = 5/3
Coordinate = (-3,-1) in which
X = -3, Y = -1
Substitute X, Y and M into the general linear equation to achieve C
-1 = 5/3(-3) + C
-1 = - 5 + C
C = 5 - 1
C = 4
Substitute C and M back into the general linear equation.
Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be
Y = 5/3 X + 4
2.) Also,
Slope M = 9/4
Coordinate = (3,0) where X = 3, Y = 0
Substitute X, Y and M into the general linear equation to obtain C
0 = 9/4 (3) + C
C = - 27/4
Substitutes C and M back into the general linear equation
Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)
Y = 9/4 X - 27/4
Answer:
Given: The transformation g(x) =6f(x) ......[1]
To find the corresponding values of g(x) for the given transformation.
At x = -7, f(x) = 8
then,
By substituting the value of f(x) = 8 in [1] we have
Similarly,
For x= -3 , f(x) = 3, then
By substituting the value of f(x) = 3 in [1] we have
For x= 0, f(x) = -1 , then
By substituting the value of f(x) = -1 in [1] we have
For x= 2, f(x) = 7, then
By substituting the value of f(x) = 7 in [1] we have
For x= 10, f(x) = 5, then
By substituting the value of f(x) = 5 in [1] we have
Therefore ; we have the corresponding values of g(x) as shown below;
x f(x) g(x)
-7 8 48
-3 3 18
0 -1 -6
2 7 42
10 5 30
Answer:
263.76
Step-by-step explanation:
It is 7 times 12 times 3.14. Then you round your answer
Answer:
B
Step-by-step explanation:
Variance can be said to be a measure of dispersion for a random sample.
Variance = pq/n
When given the variance, we can find the standard deviation.
Standard deviation = √variance
= √pq/n
