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a_sh-v [17]
2 years ago
15

So How would you write 6.5E4

Mathematics
1 answer:
vladimir2022 [97]2 years ago
8 0
Hope that helps



6.5 x 10^4

Or

65000
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Respond to each of the following questions. Be sure to include and thoroughly describe each transformation.
sergeinik [125]

Answer:

31. 1) Vertical shift up 4 units.

     2) Horizontal shift right 1 unit.

     3) Vertically stretched by a factor of 3.

32. g(x)=-(x+3)^2+7

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

- If f(x)+k, the function is shifted up "k" units.

- If f(x)-k, the function is shifted down "k" units.

- If f(x+k), the function is shifted left "k" units.

- If f(x-k), the function is shifted right "k" units.

- If -f(x), the function is reflected over the x-axis.

- If bf(x) and b>1, the function is stretched vertically by a factor of "b".

31. Given the function f(x)=x^{2} and the function g(x) = 3(x - 1)^2 + 4, we can notice that the transformations from the graph of f(x) to the graph of g(x) are:

1)  f(x)+k

2)  f(x-k)

3)  bf(x), being b>1

Therefore, we can conclude that the transformations necessary to transform the graph of f(x) to the graph g(x) are:

1) Vertical shift up 4 units.

2) Horizontal shift right 1 unit.

3) Vertical stretch by a factor of 3.

32. Knowing the parent function:

 f(x)=x^{2}

And given the transformations:

1) Reflection over the x-axis.

2) Horizontal shift left 3 units.

3) Vertical shift up 7 units.

We can define that the function g(x) is:

g(x)=-(x+3)^2+7

7 0
3 years ago
Explain how you would use addition to find the product of -2 and 5
Ipatiy [6.2K]
-2+5=3
And is a word used for addition. For example 20 and 6 is 26.
4 0
1 year ago
Evaluate log 2 base 8​
iren2701 [21]

Answer:  The correct answer is:  " 3 " .

_______________________________

Step-by-step explanation:

_______________________________

The problem given is:

_______________________________

Evaluate:  log 2 base 8 .

_______________________________

Rewrite as:  " log_2}8 = ? _______________  " ;  log_2}8 = ? _______________

_______________________

Take note of the following definition of a logarithm:

_______________________

"   log_{m}n = a " ;  ↔  " m^{a} =n  "  ;

_______________________

in which:  m  refers to the "base" ;

               n  refers to the "argument" ;

               a  refers to the "exponent" ;

______________________________

As such:

       " log_2}8 = ? _______________ "

      ⇔ " 2^{x} = 8 " ; Solve for "x" ;  

 _______________

 Note:  

  2⁰ = 1 ;

  2¹ = 2 ;

  2² = 2 * 2 = 4 ;

  2³ = 2 * 2 * 2 = 8 .

___________________

 → " 2^{x} = 8 " ;

 → " 2^{3} = 8 " ;  since: " 2^{3} = 2  *2 *2 = 8 " ;

 → as such:   " x = 3  " ;

______________________

Thus:

"log 2 base 8 " ;

          = log{_{2}}8 = 3  .

_______________________

Hope this helps!

Best wishes to you!

3 0
3 years ago
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