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fomenos
3 years ago
6

Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?

Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0

Answer: g(x)=(3)^{-x}

Step-by-step explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function f(x) will become f(-x) .

Now, the given function :f(x)=(3)^x

Then , after reflection across y axis the new function will become:

g(x)=f(-x)=(3)^{-x}

You might be interested in
If n is an integer, which conjecture is not true about 2n– 1? A. 2n– 1 is odd if n is positive. B. 2n– 1 is always even. C. 2n–
VladimirAG [237]
B.



Let's simply look at each conjecture and determine if it's true or false.



A. 2n– 1 is odd if n is positive: Since n is an integer, 2n will always be even. And an even number minus 1 is always odd. Doesn't matter if n is positive or not. So this conjecture is true.



B. 2n– 1 is always even: Once again, 2n will always be even. So 2n-1 will always be odd. This conjecture is false.



C. 2n– 1 is odd if n is even: 2n is always even, so 2n-1 will always be odd, regardless of what n is. So this conjecture is true.



D. 2n– 1 is always odd: 2n will always be even. So 2n-1 will always be odd. Once again, this conjecture is true.



Of the 4 conjectures above, only conjecture B is false. So the answer is B.
6 0
3 years ago
Help me with this please it's important pleaseeeeeeeeeeeeeeeeee frindes
Stells [14]

Answer:

27-64

Step-by-step explanation:

cheating in tests are bad, searching for answers in tests is also bad

but the range is 27-64

3 0
3 years ago
A function is blank a relation<br> *always<br> *sometimes<br> *never
zvonat [6]

Answer:

The correct answer is A.) Always

Step-by-step explanation:

A function is defined as a relation in which each element of the domain is mapped to one element of the range. In the definition itself, it is defined as a relation

I hope this helps you :)

-KeairaDickson

5 0
3 years ago
Simplify the expression. Write the answer using scientific notation. 0.3(8.2 x 10^-3)
olchik [2.2K]

Answer:

0.3(8.2 x 10^-3) = 2.46 X 10 ^ -3

Step-by-step explanation:

We need to solve the equation 0.3(8.2 x 10^-3) and write answer in scientific notation.

Solving,

= 0.3(8.2 x 10^-3)

= 0.3 * 0.0082

= 0.00246

Writing in scientific notation

= 2.46 X 10 ^ -3

So, after solving the expression 0.3(8.2 x 10^-3) the result is 2.46 X 10 ^ -3.

8 0
3 years ago
SA = 2tr2 + 2trh
julsineya [31]

Given:

Radius of the cylinder = 5 in

Height of the cylinder = 30 in.

To find:

The surface area of the cylinder.

Solution:

The surface area of the cylinder is:

SA=2\pi r^2+2\pi rh

Where, r is the radius and h is the height of the cylinder.

Putting r=5,h=30,\pi=3.14 in the above formula, we get

SA=2(3.14)(5)^2+2(3.14)(5)(30)

SA=2(3.14)(25)+942

SA=157+942

SA=1099&#10;

Therefore, the surface area of the cylinder is 1099  square inches.

6 0
3 years ago
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