Answer:
3
Step-by-step explanation:
3² = 9, so √9 = 3
4² = 16, so √16 = 4.
12 is closer to 9 than to 16, so √12 is closer to √9 than to √16.
√12 ≈ 3 (to the closest integer)
Answer:
The graph is positive and would have a y intercept of 1 and a slope of 2 which means choose a point on the graph and add 2 to the y and 1 to the x and you should be at the next point on the line.
Step-by-step explanation:
y=mx+b
f(x)=y
m = slope
b = y intercept
First you need to make it look like y=mx+b
y = 2x - 1 + 2
y = 2x + 1
Now we can say,
m = 2
b = 1
or,
Slope =
y intercept = 1
Slope (m) =
So the numerator is the value your are going to go up or down along the graph and the denominator is the value of how far you are going to go left or right along the graph. If the slope is positive then the graph is inclining. If the slope is negative, the graph is declining.
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
10. Replace the x in the equation with each number in the input and the results will be the number in the output:
•input: -2 ---->output: -2
•input: -1 ---> output: 1
•input: 0 ---> output: 2
•input: 1 ---> output: 1
•input: 2 ---> output: 4
now, you have the point you need to put in the graphic: (-2,-2); (-1,1); (0,2); (1,1); (2,-2)
once you make the graphic you can see it starts in y=-2 then goes up to y=2 and then goes down again to y=-2. It is a parabola and not a line, which is why it is a nonlinear equation
11. It is a linear equation because it follows the form: y=mx+b. In this case m= -1 and b= 1.