The function y = x, called the "identity" or "ramp" function, is a basic function that you'll need to add to your math vocabulary. Since the " x " here seems to have no exponent, fix that by thinking "x^1," or "x to the first power," or "y=x is a linear function."
The graph of y=x always goes thru the origin. It begins in the 3rd quadrant and ends in the 1st, and appears as a straight line with slope of m = rise / run = 1/1 = 1.
Answer:
34 minutes
Step-by-step explanation:
Given
Required
Number of minutes left to spend (x)
Since there's only 1 minute left to spend on every other call;
Time left = x * 1
Time left = x
The required can further be calculated using:
This gives:
Subtract 6 from both sides
<em>Hence, there are 34 minutes left to spend</em>
Answer:
yes
Step-by-step explanation:
y=3x + 1
y = -x+5
Check if (1,4) solves the first equation
4 = 3(1)+1
4 = 3+1
4=4
This is true
Check the second equation
4 = -1+5
4=4
This is true
(1,4) is a solution to the system of equations
Answer:
68 degrees
Step-by-step explanation:
2 complementary angles make up a 90 degree angle.
90 degrees - 22 degrees = 68 degrees
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.
