Answer:
The equation is;
y = 12x-41
Step-by-step explanation:
Mathematically;
slope intercept form is;
y = mx + b
where m is slope and b is intercept
Since we already have the slope , the equation is;
y = 12x + b
To get b which is the y intercept, we simply substitute the value of the points given
Thus;
19 = 5(12) + b
19 = 60+ b
b = 19-60
b = -41
So the equation is;
y = 12x - 41
Answer: All the ways I solved this the answer is the same,
x>5 or (5,∞) That being the Interval Notation {The second one}
Step-by-step explanation:
100 because it goes up 15 and 5
Answer:
-1.99, 1.99
Step-by-step explanation:
Use a table to find the z-scores.
For the first z-score:
P(x < z) = 0.0233
z = -1.99
For the second z-score:
P(x > z) = 0.0233
P(x < z) = 1 − 0.0233 = 0.9767
z = 1.99
Answer:
To create function h, function f was translated 2 units to the right, translated 4 units down and reflected across the y-axis.
Step-by-step explanation:
Since f(x) = x^3 is transformed to h(x) = -(x+2)^3-4, by
1. Adding 2 to x in x³ to give f'(x) = f(x + 2) = (x + 2)³.
2. We now translate f(x + 2) down by subtracting 4 from f(x + 2) to give
f''(x) = f'(x) - 4 = f(x +2) - 4 = (x + 2)³ - 4.
3. We now reflect f'(x) across the y-axis by multiplying (x + 2)³ by -1 to get
h(x) = -(x + 2)³ - 4.
