X = 4.33333333333
y = 5.33333333333
z = 6.33333333333
Y=Mx +b
B is 0 because that’s where the graph intercepts the y axis.
M is found by picking any two points and finding the rise and run because m is equal rise/run
Points of choice: (-2,4) and (2,-4)
=2−1/2−1 = -8/4
m is equal -2
Y= -2X
Look at the picture below to differentiate between positive and negative slopes.
Answer:
E. the product of seven and the difference of b minus two
Step-by-step explanation:
7(b-2)
seven is being multiplied by the difference of b minus 2
So this can be written as the product of seven and the difference of b minus two.
Reasons its not the other answer choices
A. two subtracted from the quotient of seven divided by b would be (7/b) - 2
B. seven added to difference of b minus two would be 7 + (b-2)
C. the quotient of seven divided by b minus two would be 7/(b-2)
D. two subtracted from seven times b would be 7b - 2
Key Vocabulary:
<em>Difference = Subtraction</em>
<em>Product = Multiplication</em>
<em>Quotient = Division </em>
<em></em>
The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
<h3>What is a quadratic equation?</h3>
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have

Add and subtract 121, we have
![f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%28x%5E2%20-%2022x%20%2B121%20-%20121%20%29%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%5B%28x%5E2%20-%2011%29%5E2-121%5D%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%28x-11%29%5E2%20-%20242%20%2B%20185%5C%5C%5C%5Cf%20%28x%20%29%20%3D%202%28x-11%29%5E2%20-57)
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
brainly.com/question/2263981
74 acres of old-growth are there in the forest
Step-by-step explanation:
To answer the question, we need to calculate the 0.2% of 37,000.We can calculate this stating that exists a linear relationship between the percentage and the number of acres. We also need to state that 37,000 acres are the 100% of the acres.

We find that if 37,000 acres are the 100% of the acres ⇒ The 0.2% of the acres are 74 acres (in which there are old-growth trees).