How many solutions does the system have? \begin{cases} 3x+y=8 \\\\ 2x+2y=8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 3x+y=8 2x+2y=8 Choose 1
1 answer:
Answer:
This system has one solution (x=2 and y=2), then the answer is A.
Step-by-step explanation:
The system of equations is:
(1)
(2)
Let's multiply the first equation by 2 and subtract it to the second equation
Using this value in (1) we can find y.
Therefore, this system has one solution (x=2 and y=2), the answer is A.
I hope it helps you!
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Answer:
The linear cost function is dollar.
Step-by-step explanation:
Given : A parking garage charges 4 dollars plus 65 cents per half-hour. A linear cost function for the situation is C(x)=L.
To find : Write a linear cost function for the situation ?
Solution :
Cost function is defined as sum of marginal cost and fixed cost.
Let x be the number of hours i.e. time for which parking cost.
A parking garage charges 4 dollars plus 65 cents per half-hour.
The fixed price is $4.
Marginal cost is 65 cents per half-hour.
Converting cents into dollar,
1 cent = 0.01 dollar
65 cent = 0.65 dollar
The cost of hour = $0.65
The cost of x hours =
So, marginal cost is $1.3x.
Cost function is defined as
dollar.
Therefore, The linear cost function is dollar where x is the number of hours.
Answer:
-2
Step-by-step explanation:
equation for slope =
plug in numbers - =
=