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marshall27 [118]
3 years ago
5

*BRAINLIEST* The graphs below have the same shape. Complete the equation of the blue graph.​

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

(x-2)^2

Step-by-step explanation:

The blue graph is shifted two units to the right of the "original" function x^2 (red). Let's recall the vertex form of a quadratic:

a (x-h)^2 + k

where a represents a constant that describes the opening of the parabola (up/down); h represents horizontal shift; and k represents vertical shift.

The blue graph is two units to the right (+2), there is NO vertical shift and NO change in how the parabola opens.

So, let's plug the appropriate values into vertex form:

(x-(+2))^2

= (x-2)^2

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Company fixed cost = $10 million = $10,000,000

Variable cost per pair = $5

Company charges each pair = $15

Hence the company makes $10 profit per pair regardless the company fixed cost and only considering the variable cost.

Let subtract the variable cost per pair from the company charging each pair = 15 - 5 = $10

Thus the company now makes $10 per pair, and it has to sell 1,000,000 pairs of gloves to reach the break-even point. The break-even point refers to the point where total cost and revenue are equal.

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3 years ago
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mezya [45]

Answer:

Step-by-step explanation:

75x + -300 = 25x + 200

Reorder the terms:

-300 + 75x = 25x + 200

Reorder the terms:

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Solving

-300 + 75x = 200 + 25x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25x' to each side of the equation.

-300 + 75x + -25x = 200 + 25x + -25x

Combine like terms: 75x + -25x = 50x

-300 + 50x = 200 + 25x + -25x

Combine like terms: 25x + -25x = 0

-300 + 50x = 200 + 0

-300 + 50x = 200

Add '300' to each side of the equation.

-300 + 300 + 50x = 200 + 300

Combine like terms: -300 + 300 = 0

0 + 50x = 200 + 300

50x = 200 + 300

Combine like terms: 200 + 300 = 500

50x = 500

Divide each side by '50'.

x = 10

Simplifying

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