Answer:
M = -2
b = -10
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
m = (-8 -0)/(-1- -5)
= (-8-0)/(-1+5)
= -8/4
= -2
We now want to find the y intercept
y = mx+b is the slope intercept form of the equation
y = -2x+b
Using the point (-5,0)
0 = -2(-5) +b
0 = 10+b
Subtract 10 from each side
-10 = 10-10+b
-10 =b
The y intercept is -10
y= -2x-10
B). 10.63
Because 7^2=49 and 8^2=64 then 49+64=113 then the square root of 113 is 10.63
The domain is the scope of the x values. In this case (-2,-1) is a hole, so x>-2 is one end of the domain, while (3,3) is defined. So the domain using interval notation is (-2,3] which can also be expressed -2 < x ≤ 3, answer option 1
1)
2)
Here, the variable
can assume any value, and usually an inequality presented like this has
as a stand-in for all real numbers. If we really wanted to make that fact clear, we could write the two inequalities like this:
Formally, you'd read
as "
is an element of the set of real numbers," which is a fancy way of saying that
can be any real number.
