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Aleonysh [2.5K]
2 years ago
5

Consider the following scenario:

Mathematics
1 answer:
charle [14.2K]2 years ago
7 0
The successful completion of the exam review packet 
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PLEASE HELP!! A classmate wrote the set notation for the values of the domain of a function {−5, −4, −3, −2, −1, 0} as {x | −5 ≤
vfiekz [6]
<h3>Answer: Choice B</h3>

The set notation includes all values from -5 to 0, but the domain only includes the integer values

eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}

==========================================================

Further explanation:

Let's go through the answer choices one by one

  • A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that -5 \le x \le 0 is the correct order as well.
  • B. This is true. A value like x = -1.2 is in the set \left\{x| -5 \le x \le 0\right\} since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write \left\{x| x\in\mathbb{Z}, \ -5 \le x \le 0\right\}. The portion x \in \mathbb{Z} means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers".
  • C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
  • D. This is false. Writing -5 \ge x \ge 0 would not make any sense. This is because that compound inequality breaks down into -5 \ge x \ \text{ and } \ x \ge 0. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.
8 0
2 years ago
Michael wants to rent a boat and spend less than $53 the boat cost six dollars per Michael wants to rent a boat and spend less t
ASHA 777 [7]
Hi hope I helped, ok so first 6×7=42 and its less than 53 so ur answer is 42
5 0
3 years ago
In the following system of equations, determine whether the system has a unique
Rina8888 [55]

Answer:

the system has a unique solution

Step-by-step explanation:

Start with an equation of a line in standard form,

ax + by = c

Solve it for y to put it into the slope-intercept form:

by = -ax + c

y = -\dfrac{a}{b}x + \dfrac{c}{b}

The slope is -a/b.

Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.

You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.

Answer: the system has a unique solution

5 0
2 years ago
Find the measure of 26.<br> 4 6 = [?]<br> 249<br> 46
Basile [38]

ANSWER:

We know that the sum of angles of same sides in parallel lines are supplementary(180°).

So, ∠6 + 24° = 180°

  • ∠6 = 180° - 24°
  • ∠6 = 156°.
7 0
2 years ago
Read 2 more answers
Suzzy walks ¾ mile around the high school track in ½ hour. How far can she walk in 2 hours?
aleksley [76]

Answer:

Step-by-step explanation:

3/4 + 3/4 = 6/4 = 1 1/2= 1.5 (this is one hour)

1.5 x 2 = 3

she can walk 3 miles in 2 hours.

6 0
3 years ago
Read 2 more answers
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