Answer:
N=+24,-24
Step-by-step explanation:
Well this is a quadratic equation and we can make further deductions using it's discriminant
b²-4ac=0
N²-4(1×144)=0
N²-576=0
N²=576
N=√576
N=+24,-24
The piecewise function tells us specific rules he should execute based on the input x we put in. For example for answer A is true since we use the top function f(x) = -x + 1 since the input is -1 which is less than 0 (x < 0). We check to make sure the equation comes out true:
f(-1) = -(-1) + 1
f(-1) = 2 ✓
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:
6 - 14 / -2 - 2
-8 / -4
2
The slope is two, so we immediately know the answer is either A or B.
Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...
My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10
