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Vesnalui [34]
3 years ago
7

How can we use a graph to tell that two populations are equal?

Mathematics
1 answer:
Dominik [7]3 years ago
4 0

Answer: You can see if the graphs of the two populations meet at a given point.

Step-by-step explanation:

If we have a graph of population vs time

such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.

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Joy is planning to purchase a sweater that costs 30$ dollars at her local department store. The sweaters are on sale for for 20%
hichkok12 [17]
First we calculate 20% of the price:

20% of 30$ is 0.2*30$=6$.

Then we subtract 6$ (that is 20% of the price) from 30$, and get 24$.

Thus, the sale price is 24$
8 0
4 years ago
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The ideal width of a safety belt strap for a certain automobile is 6 cm. The actual width can vary by at most 0.45 cm. Write an
OlgaM077 [116]

Answer:

|x-6|\le 0.45

x\in [5.55,6.45]

Step-by-step explanation:

<u>Absolute Value Inequality</u>

Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.

Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.

The variation (unsigned) from the ideal width is:

|x-6|

The question requires that the variation is at most 0.45 cm. That poses the inequality:

|x-6|\le 0.45

That is the range of acceptable widths. Let's now solve the inequality.

To solve an inequality for an absolute value less than a positive number N, we write:

-0.45\le x-6 \le 0.45

This is a double inequality than can be easily solved by adding 6 to all the sides.

-0.45+6\le x \le 0.45+6

Operating:

5.55\le x \le 6.45

That is the solution in inequality form. Expressing in interval form:

\boxed{x\in [5.55,6.45]}

3 0
4 years ago
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IrinaVladis [17]
Jane = 35 minutes 
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Hope this helps :)

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M &lt; JH I= (2x+7) and m
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