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3 years ago

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

Write a expression that is equivalent of 4+3(5+x)

Serggg [28]

Answer:19+3x

Step-by-step explanation:

4+3(5+x)

Open bracket

4+15+3x

19+3x

3 0

3 years ago

Find the volume 15m 16m 16m 16m the picture is below please help

kolezko [41]

Answer:

5,376 m³

Step-by-step explanation:

cube - 16x16x16=4096

pyramid = 16x16x15/3=1280

4096+1280=5376

3 0

2 years ago

Rename 5/6 and 14/15 using the least common denominator.

baherus [9]

Answer:

$\frac{25}{30}~and~\frac{28}{30}$

Multiply 5 by 5 to get your first parameter.

$5 * 5 = 25$

Multiply 6 by 5 to get the denominator, or your second parameter.

$5 * 6 = 30$

For the second fraction, $\frac{14}{15}$ , you need to multiply both parameters by 2, similar to before, but we now must use a different number, otherwise, the denominators will not be the same.

$14 * 2 = 28$

Now, multiply 15 by 2

$15 * 2 = 30$

The last step is to put these numbers you gathered into fractions. The bigger number always goes on the bottom, referred to as the denominator, while the smaller number, referred to as the numerator, always goes on the top.

$25~and~30 -- > \frac{25}{30}$

$28~and~30-- > \frac{28}{30}$

________________________________________________________

Finally, the problem is solved. Now that the problem is solved, we review what we just learned <em>not through more problems, though.</em>

________________________________________________________

<h3>What have we learned?</h3>

We learned how to efficiently make fractions' deominators match.

Questions related to this topic? Ask me in the comments box, please!

8 0

2 years ago

Hannah buys 2/3 pound of roast beef. She uses 1/4 pound to make sandwiches for lunch. How much roast beef does she have left?

Vanyuwa [196]

First we need to make both fractions equal to each other, and that means having to have the denominators the same.

What both 3 and 12 easily go into is 12.

So we need to make both fractions have a denominator of 12, so we multiply.

2/3 * 4/4 = 8 / 12

1/4 * 3/3 = 3 / 12

Now, we know that she has 8 / 12 pounds, and she uses 3 / 12 of it, so now we subtract to find how much she has left.

8 - 3 = 5

Out of the 12 pounds of roast beef, she now has 5 / 12 left.

7 0

2 years ago

Read 2 more answers

Jocelyn just accepted a job at a new company where she will make an annual salary of $70000. Jocelyn was told that for each year

Oksanka [162]

Answer:

$80,500

55,500 + 1,500t

Step-by-step explanation:

The question is an arithmetic progression series

Where,

a= first term

d= common difference

n= number of terms

a = $70,000

d= $1,500

n= 8 years

8th term = a + (n-1) d

= 70,000 + (8-1)1500

= 70,000 + 7(1500)

= 70,000 + 10,500

= $80,500

Jocelyn salary after 8 years is $80,500

Solve for when n = t

t th term = a + (n-1)d

= 70,000 + (t - 1)1500

= 70,000 + 1,500t - 1,500

= 55,500 + 1,500t

t th term = 55,500 + 1,500t

4 0

3 years ago