Answer:
9/10
Step-by-step explanation:
You find the lowest common denominator which is 56 and then, you multiply each numerator by the opposite denominator (3 times 7 and 3 times 8) after that you should get 5 45/50 then you simplify it to get 9/10
<span>g(x) = x3
– x2 – 4x + 4 </span>
<span>You can find
the zeroes by factoring the equation. x<span>2 </span>(x - 1) - 4(x - 1) = 0 </span>
<span>(x2
- 4) (x - 1) = 0 </span>
(x + 2) (x -
2) (x - 1) = 0
x = 2, -2,
and 1
The
following are the key features of g(x):
g'(x) yields
the slope
g''(x) yields
the concavity
g'(x) = 0 provides
the critical points
<span>g''(x) = 0 provides the point of inflection</span>
Answer:
Step-by-step explanation:
Given
Solving (a): In vertex form
The vertex form of an equation is:
To do this, we make use of completing the square method.
We have:
------------------------------------------------------------------
Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
------------------------------------------------------------------
Factorize 
Factor out x - 3
Express as squares
Hence, the vertex form of is:
Solving (b): State the coordinates of the vertex.
In ; the vertex is: (h,k)
The vertex of will be
3^x + 3^2 = 90
Simplify the known power:
3^x + 9 = 90
Subtract 9 from both sides:
3^x = 81
Take the cubic root of both sides:
X = 4
Answer:
12 miles
Step-by-step explanation:
6 times 2 = 12
