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solong [7]
3 years ago
12

Help needed here please help

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Answer:

g(f(x))= (x+3)(x+3)

Step-by-step explanation:

f(x) =x² + 6x +7

g(x)= x + 2

1st Step: Substitute the x in g(x) =x + 2 by the value of f(x)

g(f(x))= (x² + 6x +7) + 2

g(f(x))= x² + 6x + 9

2nd Step: Simplify

g(f(x))= x² + 6x + 9

g(f(x))= (x+3)(x+3)

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Simply reflections. There are formulas for that.

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Dominique from "Dominique's Pizza" bakes p pizzas every day. Currently, it costs her $8 dollar sign, 8 per day to use the oven a
pshichka [43]

The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.

<h3>What is an equation?</h3>

Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.

<h3>How do we form the above equation?</h3>

  1. Everyday pizza production is equal to p.
  2. Brick oven use fees are $10 per day.
  3. Ingredients for brick oven pizza cost $2 per pizza.
  4. $20 a day is the cost of using an electric oven.
  5. Pizzas baked in an electric oven cost $0.8 per pizza in ingredients.
  6. If an electric oven is used, the total cost of making a pizza falls by $1, including the cost of the ingredients.

Total cost of baking p pizzas with brick oven = A =  p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).

Total cost of  baking p pizzas with electric oven = B =  p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).

B = A - 1 (as using electric oven saves $1 per day, as given)

Thus, we get:

2p + 10 = 0.8p + 20

Learn more about equations:
brainly.com/question/2972832
#SPJ1

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