Answer:
The pattern is that they are multiplying by -3 every time. 81*-3 = -243
Answer:
(2, -10)
Step-by-step explanation:
so first i find the axis of symmetry using the equation x= -b/2a
in this problem
a=3
b= -12
c= 2
- (-12)/ 2(3) = 2
2 will be the x point for your vertex
you then plug in your x point into the original equation and solve for y
y = 3(2)^2 - 12(2) +2
y = -10
Vertex is then (2, -10)
Answer:168
Step-by-step explanation:
Answer:
(1, - 6 )
Step-by-step explanation:
Given the 2 equations
y = x - 7 → (1)
y = - 4x - 2 → (2)
Substitute y = x - 7 into (2)
x - 7 = - 4x - 2 ( add 4x to both sides )
5x - 7 = - 2 ( add 7 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting x = 1 into (1)
y = 1 - 7 = - 6
Solution is (1, - 6 )
Answer:
The equation of line passing through (10,9) and having slope 3/2 is: 
Step-by-step explanation:
The slope intercept form of a line is given by:

We are given
Slope = m = 3/2
Point = (10,9)
Putting the value of the slope in the equation we get

b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.
Putting (10,9) in the equation

Putting b=-6 in the equation

Hence,
The equation of line passing through (10,9) and having slope 3/2 is: 