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Molodets [167]
2 years ago
10

Which function is the inverse of y=2^x

Mathematics
1 answer:
ivanzaharov [21]2 years ago
6 0

Answer:

The inverse of

y

=

2

x

is

y

=

log

2

x

Explanation:

This is how to do it.

From the given

y

=

2

x

interchange the variables so that

x

=

2

y

then solve for y:

x

=

2

y

take the logarithm of both sides with base

=

2

log

2

x

=

log

2

2

y

log

2

x

=

y

and

y

=

log

2

x

The graph of

y

=

2

x

and its inverse

y

=

log

2

x

. They are symmetric with the line

y

=

x

graph{(y-2^x)(y-log x/log 2)(y-x)=0[-20,20,-10,10]}

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Can you form a right triangle with the three lengths given? Why or why not? 5 cm, 12 cm, 13 cm
nordsb [41]

Yes,  I  form a right triangle with the three lengths given, because The largest side which is 13cm can be squared  and will be set to  equal to the sum of squares of smaller two side.

<h3>What is a right-angled triangle?</h3>

A  right-angled triangle serves as the  triangle having  one of its angles equal to 90 degrees.

It should be noted that the other two angles sum up to 90 degrees., hence  I  form a right triangle with the three lengths given, because The largest side which is 13cm can be squared  and will be set to  equal to the sum of squares of smaller two side.

Read more on the right triangle here:

brainly.com/question/2217700

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4 0
2 years ago
What number should be added to the expression x2 14x to change it into a perfect square trinomial?.
makkiz [27]

Answer:

  49

Step-by-step explanation:

When you look at the square of a binomial, you see ...

  (x +a)^2 = x^2 +(2a)x +a^2

The constant value (a^2) is <em>the square of half the x-coefficient</em>.

  (14/2)^2 = 49 . . . . the value to be added.

Adding 49 gives ...

  x^2 +14x +49 = (x +7)^2

8 0
2 years ago
Beth took out a 12-year loan for $35,000 for a new pool. If the interest rate is 10.2%, how much will she pay in interest?​
Anastasy [175]

Answer:

35000×10.2%=3570 Interest will be paid

35000+3570=38570 full amount will be paid in the bank

8 0
3 years ago
Read 2 more answers
On a test, wrong answers are worth -5.25 points and right answers are worth 3.5 points. So far, Marshall has one right answer an
Over [174]

Answer:

Marshall's current score is - 1.75 points

Step-by-step explanation:

From the question,

Wrong answers are worth -5.25 points and right answers are worth 3.5 points.

Currently, Marshall has one right answer and one wrong answer.

To determine Marshall's current score, we will multiply the number of right answers has by 3.5 points and multiply the number of wrong answers by -3.5 points and then add the results.

Number of right answers = 1

Number of wrong answers = 1

For the right answer, he has

1 × 3.5 points = 3.5 points

For the wrong answer, he has

1 × - 5.25 points = -5.25 points

Hence, Marshall's current score is

3.5 points + ( -5.25 points) = 3.5 points - 5.25 points

= - 1.75 points.

Hence, Marshall's current score is - 1.75 points.

8 0
2 years ago
Please answer quickly and show work. (If you show work you get brainliest)
vfiekz [6]
Tip: decimal to percentage is easy. 0.78 would be 78%. percentage would be vice versa 39% is 0.39. decimal or percentage to fraction is easy aswell, make the number out of 100, meaning 39% would be 39/100
8 0
3 years ago
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