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Marizza181 [45]

2 years ago

11

Frank is a LockSmith who owns his own business. He buys a case of 144 bulk Brass Padlocks for $244.97. He sells Each lock for $5

.50.
1: How much does each lock cost frank?

2: How much Profit did he make when he sold one lock?

1 answer:

azamat2 years ago

7 0

Each lock costs $1.70
The total profit is 244.8

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$Math\ Book = 3\frac{65}{72}\ kg$

Step-by-step explanation:

Given

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Required

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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

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Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

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This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

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$g(x)=-5(x^{2}-20x)-450$

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$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

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To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0

2 years ago

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