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4 years ago

Which function is the inverse of f(x)= B^X

Mathematics

1 answer:

Scrat [10]4 years ago

8 0

Answer:

Step-by-step explanation:

Let's retype that as y = b^x. The inverse of this function is log y = x

which you could also write as y = ln x

If you had y = e^x, the inverse function would be y = ln x.

Note that if you let ln x be the input to y = e^x, the result would be just 'x,' which confirms that these two functions are inverses of one another.

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The ratio 50:60 in simplest form

Taya2010 [7]

Answer:

Divide both 50 and 60 by 10

6 0

4 years ago

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Evaluate the expression StartFraction 12 minus 3 y Over 2 EndFraction plus y StartFraction 2 y minus 4 Over y EndFraction for y

vladimir1956 [14]

Answer: $\frac{31}{6}$

Step-by-step explanation:

Given

$\Rightarrow \frac{12-3y}{2}+y\frac{2y-4}{y}$

$\Rightarrow \frac{12-3y}{2}+\frac{y^2+2y-4}{y}$

Now for $y=3$

$\Rightarrow \frac{12-3\times 3}{2}+\frac{3^2+2\times 3-4}{3}$

$\Rightarrow \frac{3}{2}+\frac{9+6-4}{3}$

$\Rightarrow \frac{3}{2}+\frac{11}{3}$

$\Rightarrow \frac{9+22}{6}=\frac{31}{6}$

3 0

3 years ago

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20 Points--Algebra 1

Darina [25.2K]

Answer:

y = 400(1.01)^t

Step-by-step explanation:

Firstly find the rate

(Take any balance for two years, e. g 400 and 404,412.12 and 416.24,etc to get simple interest)

408.04-404= 4.04

I=(P*R*T)/100

From which R=(100*I)/PT

R= 100*4.04/404*1

R=1%

Using compound interest formula

A =P(1+r/100)^n

where n is time

substituting each value

y = 400(1+1/100)^t

y= 400(1.01)^t

4 0

4 years ago

A local grocer wants to find out whether how many mixed flower bouquets in his inventory everyday. To that end, kept records of

Alenkinab [10]

Given:
n = 27, sample size
df = n-1 = 26, degrees of freedom
xb = 11.8, sample mean
s = 2.3, sample standard deviation.

Because population statistics are not known, we should use the Student's t-distribution.
At 99% confidence interval, the t-value = 2.779 (from tables).
The confidence interval is
11.8 +/- 2.779*(2.3/√(27)) = 11.8 +/- 1.23 = (10.57, 13.03)

Answer: (10.6, 13.0) to the nearest tenth

7 0

3 years ago

I need help to answer this question

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

x = 180 - 72 = 108° (linear pair)

y = 72° (vertically opposite angles)

z = 180 - (90+72) = 180 - 162 = 18°

7 0

3 years ago