When we have consecutive values, f(10), f(11), f(12), f(13), f(14), we can make a difference table to determine the degree of f as a polynomial. A quadratic will have a constant second difference:
x 10 11 12 13 14
f(x) 50 71 94 119 146
1st diff 21 23 25 27
2nd diff 2 2 2
We got a constant second difference, so f is a polynomial of degree two.
Answer: This function is quadratic
Answer:
y - 3 = ⁵/₂(x - 2) {the point-slope form of the equation}
y = ⁵/₂x - 2 {the slope-intercept form of the equation}
5x - 2y = 4 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = ⁵/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
So, the point-slope form of the equation:
y - 3 = ⁵/₂(x - 2)
Therefore:
y - 3 = ⁵/₂x - 5 {add 3 to both sides}
y = ⁵/₂x - 2 ← the slope-intercept form of the equation
-⁵/₂x + y = - 2 {multiply both sides by (-2)}
5x - 2y = 4 ← the standard form of the equation
Answer:
The y-intercept is 0
Step-by-step explanation:
Here, we want to get the y-intercept value of y = sin x
From the plot of the graph, we can see that the graph of sin x touches the y-axis at the point y = 0
So therefore, the y-intercept of y = sin x is 0
41/10 as a decimal is 4.1 i think.
Answer:
7.1 (I rounded this number to the tenths)
Step-by-step explanation:
440÷3,168 or use long division
