Toyota is discounting all their 2020 cars by 21% to make room for the new 2021 vehicles. A 2020 Rav 4 has a sticker price of $23
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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
Answer:
Part 1) The lateral area is
Part 2) The area of the two bases together is
Part 3) The surface area is
Step-by-step explanation:
Part 1) Find the lateral area
we know that
The lateral area of a prism is given by
where
P is the perimeter of the base
h is the height of the prism
so
----> perimeter of rectangle
---> given
substitute
Part 2) The area of the two bases together is?
The area of the rectangular base B is equal to
therefore
The area of the two bases together is
Part 3) The total surface area is
we know that
The surface area is equal to
substitute