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2 years ago

Guys please answer this. Im in dire need of your help! ): why can we write 1/a^n=a^-n?

Mathematics

1 answer:

attashe74 [19]2 years ago

6 0

Answer:

Try to understand by substitute a number in a and n.

Step-by-step explanation:

For example,

a=2, n=1

a^n= 2^1= 2

$\frac{1}{2}$ = 0.5

2^(-1)=0.5

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Plss answer my question now i need it this friday

professor190 [17]

Hello! i can do the first word problem

first we need to divide 600/3 which is 200.
therefore we can infer that he does 200 letters an hour and we can solve the problem with this

200 x 7 = 1400 letters an hour

6 0

2 years ago

A student fond the slope of a line that passes through the points (-8,-6) and (2,-3) to be 3/10. what mistake did she make?

goldfiish [28.3K]

Simple ....

we know to find slope is (y1-y2)/(x1-x2)

if we plug in what we know......

(-8,-6),(2,-3)

(-6--3)/(-8-2)

it turns into...

(-6++3)/(-8+-2)

(-3)/(-10)= 3/10

Thus, your answer is that she made no mistake. (C)

4 0

2 years ago

Find the integer that makes this subtraction statement true -3 - ? = -5

Elenna [48]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}$

Step-by-step explanation:

Let the missing integer be x

Solve for x

$\sf{ - 3 - x = - 5}$

Move 3 to right hand side and change it's sign

$\dashrightarrow{ \sf{ - x = - 5 + 3}}$

The negative and positive integers are always subtracted but posses the sign of the bigger integer

$\dashrightarrow{ \sf{ - x = - 2}}$

Change the signs of both sides

$\dashrightarrow{ \boxed{ \sf{x = 2}}}$

Hope I helped!

Best regards! :D

7 0

3 years ago

Which of the following is equivalent to f(x)?

Fynjy0 [20]

Answer:

D. $x^{-3/2}$

Step-by-step explanation:

<u>Given function:</u>

$f(x) = \frac{1}{x\sqrt{x} }$

<u>Equivalent expression is:</u>

$\frac{1}{x\sqrt{x} } = x^{-1}x^{-1/2} = x^{-1 - 1/2} = x^{-3/2}$

Correct choice is D

6 0

2 years ago

On a certain hot summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for ad

Akimi4 [234]

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

7 0

1 year ago