Help !! Multiply: 2w(w+17)
1 answer:
You might be interested in
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
9514 1404 393
Answer:
2 nickels, 9 dimes
Step-by-step explanation:
When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the <em>unshaded</em> area the solution space. Here, the vertices of the triangular solution space are ...
(2, 9), (2, 13), (6, 9)
Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.
__
Three solutions are shown:
(x, y) = (2, 9), (3, 10), (4, 11)
