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MAXImum [283]
2 years ago
12

If a system of equations has infinite solutions, what do you know about the graph?

Mathematics
1 answer:
Anton [14]2 years ago
3 0

Answer:

C

Step-by-step explanation:

A: Perpendicular lines have 1 solution. A is not the answer.

B: If the lines intersect, there is one solution, not many.

C: The lines are the same or can be reduced to being the same. C is the answer.

D: The lines don't intersect means that the lines are parallel. There isn't a solution.

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Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.
vladimir1956 [14]

Answer:

x2 = 60

Step-by-step explanation:

If the variables x and y are inversely proportional, the product x * y is a constant.

So using x1 and y1 we can find the value of this constant:

x1 * y1 = k

12 * 15 = k

k = 180

Now, we can use the same constant to find x2:

x2 * y2 = k

x2 * 3 = 180

x2 = 180 / 3 = 60

So the value of x2 is 60.

3 0
2 years ago
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ArbitrLikvidat [17]
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3 years ago
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A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A
Naddik [55]

Answer:

Initial bacterias = 6006000

Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000

Step-by-step explanation:

A exponential growth follows this formula:

Bacterias  = C*rⁿ

C the initial amount

r the growth rate

n the number of time intervals

Bacterias (55 hours) = 192,192,000

Bacterias (66 hours) = 384,384,000

Bacterias(55hours)=C*r^{{\frac{55-t}{t}}} \\Bacterias (66hours) = C*r^{\frac{66-t}{t}}}

If you divide both you can get the growth rate:

\frac{Bacterias (66hours)}{Bacterias(55hours)}=\frac{C*r^{\frac{66-t}{t}}}{C*r^{{\frac{55-t}{t}}}} \\\frac{384,384,000}{192,192,000} =r^{\frac{66-t}{t} -\frac{55-t}{t} } \\2 =r^{\frac{11}{t}}

So with that r = 2 and each time interval correspond to 11 years

Then replacing in one you can get the initial amount of C

Bacterias (55hours)=C*2^{\frac{55-11}{11} } 192,192,000 = C*32\\C= 6006000

7 0
3 years ago
What is the difference between plotting (2, 3) and (3,2)<br> on a coordinate plane? Explain
Lunna [17]

Answer:

Step-by-step explanation:

2,3 has I lower unit than 3,2 let’s say that we plot it we see that 2,3 is lower down 3,2 :)

5 0
3 years ago
Read 2 more answers
the scale of a map is 1 cm : 72km. What is the actual distance between two towns that are 4 cm apart on the map
PolarNik [594]
288km is he distance
4x72 = 288
8 0
3 years ago
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