Answer:
The equation you are given is a quadratic. The standard form of a quadratic is y = a(x-h)2 + k where (h,k) is the vertex of the graph, which is a parabola. Vertically moving the graph 4 units upward means that you are moving k +4 units.
y = a(x-h)2 + k standard form
y = 5x2 - 4 original equation
y = 5(x-0)2 - 4 re-written in standard form
h = 0 k = -4
Four (4) units up is k + 4--->-4 + 4 = 0.
Therefore, f(x) = 5x2 + 0--->f(x) = 5x2.
Step-by-step explanation:
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Answer: R(x) = 0.25x + 500
Flat fee is computed by:
The sales price of each tile is 0.25 and the customer only bought 10,000 tiles.
So, $0.25 x 10,000 = $2500
So the total sales price per tile sold was $2,500.
The buyer paid $3,000, so the flat fee was included there.
So, $3,000 - $2,500 = $500
So the flat fee was $500.
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The revenue function is the total income from producing the units. And it has a equation of: R(x) = price per unit x number of units sold plus any fee that is included
So the function describing the revenue of the tile from this sale is:
R(x) = 0.25x + 500
Answer:
Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces
step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height
step 3
Find the area of the base of the rectangular prism
step 4
Find the surface area
Answer:
-2
Step-by-step explanation:
6i-5=-17
6i=-17+5
6i=-12
i=-12/6
i=-2