Answer:
The equation of the line is 6y = 7x + 23
Step-by-step explanation:
We begin by calculating the slope of the line;
mathematically, the slope is given by;
m = (y2-y1)/(x2-x1)
That would be;
m= (5-(-2))/(1-(-5))
m = 7/6
So the equation becomes;
y = 7/6x + b
We below need to get the value of the y-intercept b
We get this by making a substitution for any of the two points
Let’s say we make the substitution for (-5,-2) in which case y = -2 and x = -5
Thus, we have
-2 = 7/6(-5) + b
-2 = -35/6 + b
b = -2 + 35/6
b = (-12+ 35)/6 = 23/6
So we have;
y = 7/6x + 23/6
let’s multiply through by 6
6y = 7x + 23
Answer:

Step-by-step explanation:
To the find the equivalent of
, evaluate the expression. Start by opening the bracket.


Pair like terms


The equivalent of
is 
Answer:
Multiply 2 by the coefficient 4 and you get 8x, which is the answer
Answer:
Part A:
( 1.8333, -0.08333)
Part B:
x = 2 or x = 5/3
Step-by-step explanation:
The quadratic equation
has been given.
Part A:
We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

Setting the derivative to 0;
6x - 11 = 0
6x = 11
x = 11/6
The corresponding y value is determined by substituting x = 11/6 into the original equation;
y = 3(11/6)^2 - 11(11/6) + 10
y = -0.08333
The vertex is thus located at the point;
( 1.8333, -0.08333)
Find the attached
Part B:
We can use the quadratic formula to solve for x as follows;
The quadratic formula is given as,

From the quadratic equation given;
a = 3, b = -11, c = 10
We substitute these values into the above formula and simplify to determine the value of x;

Answer:
Domain is your x max and Min, Range is your y max and Min
Step-by-step explanation:
Domain would be -5 to 8 or (-5,8)
range would be -3 to 2 or (-3,2)