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Nitella [24]
3 years ago
11

Which value of x is in the solution 2|x-3|<4

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

Answer:

1 < x < 5

Step-by-step explanation:

Inequalities of the type | x | < a , have solution of the form

- a < x < a

Given

2 | x - 3 | < 4 ( divide both sides by 2 )

| x - 3 | < 2 , then

- 2 < x - 3 < 2 ( add 3 to each interval )

1 < x < 5

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<h3><u>Explanation</u></h3>
  • How to see if a shown graph is function or not?

If we want to check that a graph is function or not, we have a way to check by doing these steps.

  1. Draw a vertical line, make sure that a line has to pass through or intercept a graph.
  2. See if a line intercepts a graph more than once.

If a line intercepts a graph only one point, a graph is indeed a function. Otherwise, not a function but a relation instead. That includes if a line intercepts more than a point which doesn't make a graph a function.

From the graph, if we follow these steps, we will see that a line will only pass or intercept the graph only one point. Hence, the graph is indeed a function. The following graph that is shown is called "Parabola" for a < 0.

<h3><u>Answer</u></h3>

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3 years ago
Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu
Murljashka [212]

Answer:

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Step-by-step explanation:

We know that the position function is given by

s(t)=30t-\frac{g_s}{2} t^2

Velocity is defined as the rate of change of position. Therefore,

v(t)=\frac{d}{dt}(s(t))

So, the velocity function is

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When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

v(t)=30-g_st=0\\\\g_s=\frac{30}{t}

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).

So, the value of g_s is g_s=\frac{30}{21} \:\frac{m}{s^2}.

5 0
4 years ago
How do I answer this—
Katen [24]

Answer:

angle 2 = 87 degrees

" /_ 2=87° "

4 0
3 years ago
Peter is reading a 193-page book. He has read three pages more than one fourth of the number of pages he hasnt yet read. How man
Anit [1.1K]
<span>Let n = the number of pages not read
Then the number of pages read = n/4 + 3
Since the total number of pages is 193, we have

n + n/4 + 3 = 193
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</span>
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konstantin123 [22]

Answer:A General Note: Rate of Change

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Step-by-step explanation:

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