Answer: y = - 4x + 2
Explanation:
The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.
The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.
The graph permits you to calculate both parameters.
1) The slope, a is defined in this way:
- a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]
- you can use the points (0, - 2) and (-1,2):
⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4
2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b = - 2.
3) Substituting the values of a and b in the form y = ax + b, you the rule:
5 feet is how far the ladder reaches
Answer:
Step-by-step explanation:
Let's say we wanted to find the LCM of 6 and 8.
First, write the prime factorization of both:
6 = 2×3
8 = 2³
Let's include all the exponents:
6 = 2¹×3¹
8 = 2³×3⁰
The LCM needs to have the prime factors with the highest exponents.
So we need prime factors of 2 and 3. The exponent of the 2 will be three, and the exponent of the 3 will be one.
LCM = 2³×3¹
LCM = 24
You may have $26 I not a genius but this is easy
