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nevsk [136]
3 years ago
15

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13? (4 points) none or one or two or infinitrly many

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0
There is one solution
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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
3 years ago
What is the distance between the florist’s shop (D) and the car wash (E)? Explain using coordinate subtraction.
VARVARA [1.3K]

Answer:

hi! once you link the picture I will answer the problem.

Step-by-step explanation:

5 0
3 years ago
There are 14 white cabbages and x purple cabbages in a box.
ohaa [14]

Answer:

the angle of a quadrilateral taken in order a× 5× 4× and 2× find these angle draw a rough sketch of the quadrilateral what kind of quadrilateral is it

8 0
2 years ago
Read 2 more answers
Find the exact value of x
Olin [163]

Answer:

7.07

Step-by-step explanation:

5sin90=xsin45

5/sin45=7.07

5 0
2 years ago
30 points
igomit [66]
Since the rate of descent is a constant this is a linear equation and can be expressed as:

h=vt+b, where h=feet, v=slope or rate, b=y-intercept (y value when x=0 which is the initial height)

h=-2t+b, using the point (3,67) we can solve for b, or the initial height

67=-2(3)+b

67=-6+b

73=b  so the initial height was 73 ft and the height equation is then:

h(t)=67-2t so when t=8 you have:

h(8)=67-2(8)

h(8)=67-16

h(8)=51 ft
8 0
3 years ago
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