3 years ago

Which equation is equivalent to..

Mathematics

1 answer:

svet-max [94.6K]3 years ago

6 0

Answer:

Step-by-step explanation:

$1/3)^{x}$ = $\frac{1}{3^{x} }$ = $3^{-x}$

and

$27^{x+2}$ = $(3^{3})^{x+2}$ = $3^{3(x+2)}$ = $3^{3x+6}$

Hence expression D is equivalent

You might be interested in

If you flip two coins 16 times, what is the best prediction possible for the number of times both coins will land on tails?

mr_godi [17]

Answer:

2×16

=32

Step-by-step explanation:

hope it helps..

8 0

3 years ago

Simplify (8x^2 - 1 + 2x^3) - (7x^3 - 3x^2 + 1).

Elenna [48]

Answer:

31x^2-2 is the answer....

Step-by-step explanation:

7 0

3 years ago

If a → b is true, then ~a → b is also true.

Rasek [7]

Answer:

False

Step-by-step explanation:

To determine whether the statemaent "If $a\Rightarrow b$ is true, then $\neg a\Rightarrow b$ is also true" holds, you can form the truth table:

$\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}$

When the result of the column $a\Rightarrow b$ takes value 1 (true), the result of the column $\neg a\Rightarrow b$ is not always 1, then the statement is false.

7 0

3 years ago

A circular running track is 1/4 of a mile long Elena runs this track completing each lap in 1/20 of an hour what is her speed

PSYCHO15rus [73]

Answer:

The speed is equal to $5\frac{mi}{h}$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x------> the distance in miles

y-----> the time in hours

s----> the speed in mph

$s=\frac{x}{y}$

In this problem we have

$x=(1/4)\ mi$

$y=(1/20)\ h$

substitute

$s=\frac{(1/4)}{(1/20)}=20/4=5\frac{mi}{h}$

3 0

3 years ago

If f(x) = -5x - 1 and g(x) = x - 6 what is (f g) (7)

Cloud [144]

You have

$(f\circ g)(x) = f(g(x)) \implies (f\circ g)(7) = f(g(7))$

So, we have to compute g(7) and feed it as input to f(x). We have

$g(7)=7-6=1 \implies f(g(7))=f(1)=-5-1=-6$

5 0

3 years ago

Read 2 more answers