This means that (x-6)(x+2) = f(x) is the equation for the parabola due to that if you plug these in, when x=6 and x=-2 then y=0. Expanding it, we get
x^2+2x-6x-12=x^2-4x-12. Since the x coordinate of the vertex is -b/2a, it's 4/2=2
To add expressions, you should take note that you can only
combine same terms which means they have the same degree of exponents.
-5x^4 + 6x^3 – 43 + 6x^5 – x^2 + 12x + 12
In this expression, you can only combine the constants
because they are the only similar terms:
-5x^4 + 6x^3 + 6x^5 – x^2 + 12x + 12 – 43
-5x^4 + 6x^3 + 6x^5 – x^2 + 12x – 31
The standard form starts with the term with the highest
exponent so you just have to arrange the terms:
6x^5 - 5x^4 + 6x^3 – x^2 + 12x + 12
6000x = 135000; x ≈ 23.
We are required to have one fire extinguisher for every 6000 ft of space in the building; this means we need to find out how many 6000-ft spaces we have in 135000.
Solving this equation, we divide both sides by 6000:
6000x/6000 = 135000/6000 = 22.5 ≈ 23
Answer:
Answer is in the pic
Step-by-step explanation:
A translation is just a movement of the figure so in this case you just add 3 to the x part of the coordinate.
so originally k (-2,5) m (-3,1) l (1,1)
add 3 to x so
k (1,5) m (0,1) l (4,1)
Should be C.
This is the first time I know FOIL represents : First, outer, inner and last. It represents the method to solve the product of binomials.