The equation y - 2 = -5(x - 2) represents a linear function ⇒ 1st answer
Step-by-step explanation:
A linear function is any function that graphs to a straight line
(not a vertical line)
The forms of the linear equation are
- y = m x + b, where m is the slope of the line which represents the function and b is the y-intercept ⇒ slope-intercept form
, where m is the slope and 
is a point lies on the line which represent the function ⇒ slope-point form- Ax + By = C, where A, B, and C are constant ⇒ standard form
Linear function means the greatest power x and y in the equation of the function is 1
∵ The equation is y - 2 = -5(x - 2)
∵ The greatest power of x and y is 1
∵ The equation is in the form of , where
m = -5 and the coordinates of the point are (2 , 2)
∴ The equation represents a linear function
The equation y - 2 = -5(x - 2) represents a linear function
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Answer:
-1 i believe because that is the only x intercept. i apologize if this is wrong
Step-by-step explanation:
Answer:
Step-by-step explanation:
Problem One (left panel)
<em><u>Question A</u></em>
- The y intercept happens when x = 0
- That being said, the y intercept is 50. It was moving when the timing began.
<em><u>Question B</u></em>
The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2 miles / hour^2 (you have a slight acceleration.
<em><u>Question C</u></em>
- 60 = a + (n-1)d
- 60 = 50 + (n - 1)*2
- 10/2 = (n - 1)*2/2
- 5 = n - 1
- 6 = n
The way I have done it the domain is n from 1 to 6
Question 2 (Right Panel)
<em><u>Question A</u></em>
The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.
- f(0) = ax + b
- -3 = a*0) + b
- b = - 3
- So far what you have is
- f(x) = ax - 3
- f(-1) = a*(-1) - 3 but we know (f(-1)) = -6
- - 6 = a(-1) - 3 add 3 to both sides
- -6 +3 = a(-1) -3 + 3
- -3 = a*(-1) Divide by - 1
- a = 3
- f(x) = 3x - 3 Answer for f(x)
- The slope of f(x) = the coefficient in front of the x
- f(x) has a slope of 3
- g(x) has a slope of 4
<em><u>Part B</u></em>
- f(x) has a y intercept of - 3
- g(x) has a y intercept of -5
- f(x) has the greater y intercept.
- -3 > - 5
Answer:
B
Step-by-step explanation:
x^3 + 2x^2 - 9x - 18 = x^2(x + 2) - 9(x + 2) = (x + 2)*(x^2 - 9)
(x + 2)/(x + 2)(x^2 - 9) = 1 / (x^2 - 9)
==============
1/(x^2 - 9) * (x^2 - 9)/(3x + 1) = 1/(3x + 1)
Yes B is correct.
<h2><u>
Answer: 6:10</u></h2>
Step-by-step explanation: 6:10 = 0.6 and 8:15 ≈ 0.53
