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Elan Coil [88]
1 year ago
5

✓ 1234Graph the set {xx2-1) on the number line.Then, write the set using interval notation.-7-6-5-4-3-2-11 2 3{x|x ≥-1}=045 6(0,

0)

Mathematics
1 answer:
dexar [7]1 year ago
3 0
\lbrace x\lvert x\ge-1\rbrace

Given set: x greater than or equal to -1

The interval includes -1 and all the values greater than -1, to graph it put a full point in the -1 and draw an arrow to the the right of -1:

<h2>Interval notation:</h2>\lbrack-1,\infty)

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Andrea has 18 yards of fabric how many 4 inch pieces can she cut from her original piece
Nikolay [14]
Andrea can cut 4 1/2 (or 4.5) inch pieces from her original piece.

18/4 = 4.5


Hope this helps!
5 0
4 years ago
Describe all of the transformations occurring as the parent function f(x) = x^3 is transformed into g(x) = -0.5(3(x+4))^3 -8
hodyreva [135]

Step-by-step explanation:

The translations of the typical functions are

y = a(bx + c)  + d

Where a is the vertical translation,

If a is greater than 1 or less than -1, we have a vertical stretch

If a is between -1 and 1 , we have a vertical compressions or shrink.

If a is negative, we have a negative reflection across the x axis.

If b is greater than 1 or less than -1, we have a horizontal compression or shrink

If b is between -1 and 1, we have a horizontal stretch

If b is negative, we have a reflection about the y axis,

If c is negative, we have a translation to the right c units

If c is positive, we have a translation to the left c units

If d is positive, we have a translation upward d units

If d is negative, we have a translation downward d units.

Here in this problem, our parent function is x^3.

So I would do the following transformations.

  • Reflect about the x axis
  • Vertical Shrink by a factor of 1/2
  • Horizontal Shrink by a factor of 3
  • Shift to the left 4 units
  • Shift downward 8 units.

4 0
2 years ago
Find the explicit formula for the sequence? -1,4,-16,64......
Ede4ka [16]

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4

The explicit formula for geometric sequence is:

a_n = a_1r^{n-1}

Putting the values of r and a1

a_n = -1 . (-4)^{n-1}

Hence

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

5 0
4 years ago
What is the quotient of StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction? Star
Arte-miy333 [17]

Answer:

7

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Evaluate |2y-2| when y=-2
grandymaker [24]

Answer:

6.

Step-by-step explanation:

|2y-2| when y = 2

=  |2(-2)-2|

= |-4 - 2|

= |-6|

= 6.

3 0
3 years ago
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