HELP PLS MANY POINTS Use the function f(x) to answer the questions: f(x) = 4x2 + 8x − 5 Part A: What are the x-intercepts of the
graph of f(x)? Show your work. (2 points) Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points) Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 point
1 answer:
Answer:
see below
Step-by-step explanation:
f(x) = 4x^2 + 8x − 5
To find the x intercepts set y = 0
0 =4x^2 + 8x − 5
Factor
0=(2x-1)(2x+5)
Using the zero product property
2x-1 =0 2x+5 =0
2x=1 2x = -5
x = 1/2 x = -5/2
The x intercepts are ( 1/2 ,0) and ( -5/2,0)
Rewriting in vertex form by completing the square
4 ( x^2 + 2x) -5
4 ( x^2+2x +1) -4*1 -5
4 ( x+1) ^2 -9
Vertex form is
a( x-h) ^2 +k where ( h,k) is the vertex
The vertex is ( -1,-9)
We know it opens upwards since a > 0
Plot the vertex and the x intercepts
The graph is symmetric on based on the vertex
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Answer:
Step-by-step explanation:
The information given in the question can be represent in a table format for better understanding with the additional columns as follows:
Items Weights Q₀ Prices P₀ Prices P₁ P₀Q₀ P₁Q₀
Cashew 1 $12.50 $17.00 $12.50 $17.00
Pecans 1 $4.00 $4.00 $4.00 $4.00
Almonds 1 $5.50 $3.00 $5.50 $3.00
Total $22 $24
Can you say what happened to the overall "price level"?
The changes in overall price level can be a result of a condition termed as inflation rate
How might you construct a measure of the "change in price level"?
To construct a measure of the change in price level; we need to determine the consumer price index (CPI).
The consumer price index can be determined by using the relation:
= 109.0%
consumer price index (CPI) is 109.0% ; This implies that there is a 9.9% inflation in the economy.