First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms
anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.
Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.
The axis of symmetry is 6
9514 1404 393
Answer:
√3
Step-by-step explanation:
The ratio of the short sides to the hypotenuse in an isosceles right triangle is ...
1 : 1 : √2
This means ...
p·√2 = √6
p = (√6)/(√2) = √(6/2)
p = √3
Answer:
Part A) 
Part B) 
Step-by-step explanation:
Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.
Let
V ----> the value of the bulldozer (dependent variable or output value)
t ----> the number of years (independent variable or input value)
we know that
The linear function in slope intercept form is equal to
we have the ordered pairs
(0,101,250) and (15,15,000)
Find the slope
The formula to calculate the slope between two points is equal to
substitute
----> is negative because is a decreasing function
The value of b is the initial value
so
substitute
Part B) The value of the bulldozer after 8 years is
For t=8 years
substitute the value of t in the linear equation
They are a method for showing the frequency of a data plot in a much more compact and numerical way.
1[2 3
2[1 7
3[3 4 5 7
4[ 0 0 1
Key 1[2= 12
meaning that 3[5 is 35 and 4[0 is 40 and so and so forth
