Describe the transformation of the graph y = -(x-4)^3 +5

Mathematics

1 answer:

eduard2 years ago

8 0

Reflected across the x-axis
shift right 4 units
shift up 5 units

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A sequence can be defined by the explicit formula <img src="https://tex.z-dn.net/?f=a_n%3D5-3_n" id="TexFormula1" title="a_n=5-3

astra-53 [7]

<h2>Answer:</h2>

Option: C is the correct answer.

C. $a_n=a_{n-1}-3\ ;\ a_1=2$

<h2>Step-by-step explanation:</h2>

The sequence is given by the explicit formula as:

$a_n=5-3n$

where $a_n$ is the nth term of the sequence.

Also, the first term of the sequence is: $a_1$

i.e.

$a_1=5-3\times 1\\\\i.e.\\\\a_1=5-3\\\\i.e.\\\\a_1=2$

Also,

$a_n=5-3n\\\\i.e.\\\\a_n=5-3n+3-3\\\\i.e.\\\\a_n=5-3(n-1)-3\\\\i.e.\\\\a_n=a_{n-1}-3$

Hence, the recursive formula which represents the same sequence is:

Option: C

3 0

2 years ago

90units needed 8 units per case what's the #of cases & # of additional units

Kobotan [32]

Answer:

# of cases: 11

Additional units: 2

Step-by-step explanation:

If each case can hold 8 units, and we want to find the total # number of cases, we have to divide the # of units (8) for one case by the total # units (90).

As you can see, after dividing by 8, we have a total of 11 cases and a remainder of 2 units. The remainder will be the # of additional units because we cannot have another case filled with 8 units.