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Illusion [34]
3 years ago
15

A number is 6 units away from -3 on the number line. Which of the following could the number be? Select all that apply.

Mathematics
1 answer:
Murljashka [212]3 years ago
4 0
Answer is 3, -9


6 units away means x+6 or x-6
-3+6=3 (you can draw a number line if it helps you)
Or -3-6=-9
Therefore answer is both 3 and -9
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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb
ArbitrLikvidat [17]

Answer:

  $9327

Step-by-step explanation:

Apparently, the cost function is supposed to be ...

  C(x) = 0.4x^2 -112x +17167

This can be rewritten to vertex form as ...

  C(x) = 0.4(x^2 -280) +17167

  C(x) = 0.4(x -140)^2 +17167 -0.4(19600)

  C(x) = 0.4(x -140)^2 +9327

The vertex of the cost function is ...

  (x, C(x)) = (140, 9327)

The minimum unit cost is $9327.

_____

<em>Comment on the question</em>

You found the number of units that result in minimum cost (140 units), but you have to evaluate C(140) to find the minimum unit cost.

8 0
3 years ago
Can someone please help me answer these questions
Fittoniya [83]

Answer:

sue had the busiest day of all

7 0
2 years ago
Is negative three a perfect cube?
erik [133]

No, it is not a perfect cube. A perfect cube is a number that is obtained when you cube an integer. For example, 8 (cube of 2), 27 (cube of 3) and 64 (cube of 4). Since -3 cannot be obtained by cubing an integer, it is not a perfect cube.

6 0
3 years ago
Write the equation of the parabola in vertex form.<br><br><br>Vertex: (−4,6); Point: (−2,−2)
gtnhenbr [62]

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form

5 0
3 years ago
I really need help I have 20 minutes
nlexa [21]

Answer:

a. -1.7

b. -1.2

c. -0.5

d. 0.6

e. 1.1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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