In this equation, p=27 because it is the last term and q=3 because it is the coefficient of the first term. First find all divisors of these numbers:
27: 1, 3, 9, 27
3:1, 3
Then use +/- p/q to find all possible combinations
+/-1, +/-3, +/-9, +/-27, +/- 1/3
Or your answer can be written as: 1, -1, 3, -3, 9, -9, 27,-27, 1/3, -1/3
Hope this helps!
Answer: C. g(-2) = -5
<u>Step-by-step explanation:</u>
g(-2) is when you replace all of the x's in the function with -2
g(x) = -3x² - 2x + 3
g(-2) = -3(-2)² - 2(-2) + 3
= -3(4) + 4 + 3
= - 12 + 4 + 3
= -12 +7
= -5
Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:

Note that in general a quadratic equation is such that:

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.
Answer:
m=84
r:m = 1:7
therefore when r= 1 then M=14

I think that's how you do it
Answer:
maximum height reached = 35 feet
and 
Step-by-step explanation:
writing linear motion equations

where s is the total displacement, u the initial velocity, t the time travelled, and a is the acceleration.
given u = 48 ft/s, and a = acceleration due to gravity g = -9.8
1 m = 3.28 feet therefore g becomes -9.8×3.28
here negative sigh comes as acceleration due to gravity is in opposite direction of initial velocity.
therefore f(t) becomes 
to find max height we should find differentiation of f(t) and equate it to 0
therefore we get 48 = 32.144t
t = 1.49 s
therefore max height f(1.49) = 71.67-36.67 = 35 feet