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Xelga [282]
2 years ago
11

What is the solution to the system of equations?

Mathematics
1 answer:
Karolina [17]2 years ago
4 0

Answer: (1,3) or x = 1 and y = 3

Step-by-step explanation:

The solution is the intersection thus the answer is (1,3) or x = 1 and y = 3

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When would it be more useful to represent a proportional relationship with a graph rather than an equation
kolezko [41]
It would be <span>more useful to represent a proportional relationship with a graph rather than an equation when you need to compare two things visually. The graph gives you a clearer idea than am equation. I hope that this is the answer that you were looking for and it has actually come to your great help.</span>
5 0
3 years ago
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Find the average rate of change of g ( x ) = 5 x 3 + 4 from x = − 1 to x = 3
gladu [14]

Answer:

Go to symbolab.com, online calculator, so good trust me

Step-by-step explanation:

4 0
3 years ago
Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving
Zarrin [17]

Answer:  The function that models the distance they drive is

f(x) = 50x + 20 where x is the time in hours

reasonable domain:  0 ≤ x ≤ 3

Step-by-step explanation:

examples:

95 = 50(1.5) + 20 After driving another hour and a half, they will have driven a total of 95 miles.

120 = 50(2) + 20  This means that after 2 more hours they will reach their destination.

There is a little ambiguity in the question. The function could be written as if they are starting out.  f(x) = 50t  

20 = 50(.4)  At 50 mph it took .4 hours to go 20 miles.

120 = 5(2.4)  The whole trip took 2.4 hours.

7 0
3 years ago
SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
Hitman42 [59]

Answer:

a) C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty).

b) C(x) decreases in (8\,s, 10\,s).

Step-by-step explanation:

Let C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850, where x is the quantity of insecticide, measured in hundreds of liters, and C(x) is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of C(x) are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

C'(x) = 3\cdot x^{2}-54\cdot x+240 (1)

Please notice that regions where C(x) is increasing has C'(x) > 0, whereas C'(x) < 0 when C(x) < 0.

We notice that C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty). Besides, C(x) decreases in (8\,s, 10\,s).

6 0
3 years ago
Graph the line that passes through the two lines (1,5/2), (-1/2,-1/4)
mars1129 [50]

Answer:

Step-by-step explanation:

7 0
3 years ago
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