We have y=2x and y=x+2
They both equal y, so substitute the first equation for y in the second equation.
2x=x+2
Let’s get x to one side. Let’s subtract x from both sides.
X=2
Since x=2, just plug in 2 for x.
2+2=4
So,
X=2
Y=4
Answer:
Step-by-step explanation:
Slope of the line using two pairs of values from the table, (-2, 5) and (2, 2):
Answer:
The unit rate is -1 store per year
Step-by-step explanation:
Let
x -----> the number of years since 1996
y ----> the number of video rental stores
we know that
The year 1996 represent x=0
so
2016 represent ----> x=2016-1996=10 years
we have the points
(0,10) and (10,1)
The unit rate is equal to the slope of the linear equation
<em>Find the slope m</em>
----> is negative because is a decreasing function
therefore
The unit rate is -1 store per year
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>
- Everyday pizza production is equal to p.
- Brick oven use fees are $10 per day.
- Ingredients for brick oven pizza cost $2 per pizza.
- $20 a day is the cost of using an electric oven.
- Pizzas baked in an electric oven cost $0.8 per pizza in ingredients.
- 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
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