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3 years ago

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!

Mathematics

1 answer:

Andreas93 [3]3 years ago

7 0

9514 1404 393

Answer:

$\text{for }f(x)=\log_b(x),\text{ the inverse is }f^{-1}(x)=b^x$

Step-by-step explanation:

As with any function and its inverse, you can find the inverse of ...

$f(x)=\log_b(x)$

by solving the equation x = f(y).

$x=\log_b(y)\\\\b^x=y\qquad\text{use as a power of b}\\\\\boxed{f^{-1}(x)=b^x}$

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Is x^5 - 5x^4 + 4x^3 - 3x^2 + 2x + 1 a polynomial

vfiekz [6]

Answer:

yes

Step-by-step explanation:

Polynomial Long Division :

4.3 Polynomial Long Division

Dividing : x5-5x4+10x3-10x2+5x-1

("Dividend")

By : x-1 ("Divisor")

dividend x5 - 5x4 + 10x3 - 10x2 + 5x - 1

- divisor * x4 x5 - x4

remainder - 4x4 + 10x3 - 10x2 + 5x - 1

- divisor * -4x3 - 4x4 + 4x3

remainder 6x3 - 10x2 + 5x - 1

- divisor * 6x2 6x3 - 6x2

remainder - 4x2 + 5x - 1

- divisor * -4x1 - 4x2 + 4x

remainder x - 1

- divisor * x0 x - 1

remainder 0

Quotient : x4-4x3+6x2-4x+1 Remainder: 0

4 0

3 years ago

A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sam

Hitman42 [59]

Answer:

The probability of cured people in who took the remedy is 8/9.

Step-by-step explanation:

Success rate of the cold remedy = 88%

The number of people who took the remedy = 45

Now, 88% of 45 = $\frac{88}{100} \times 45 = 39.6$

and 39.6 ≈ 40

So, out of 45 people, the remedy worked on total 40 people.

Now, let E: Event of people being cured by cold remedy

Favorable outcomes = 40

$\textrm{Probability of Event E} = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total outcomes}}$

or, $\textrm{Probability of people getting cured} = \frac{\textrm{40}}{\textrm{45}}$ = $\frac{8}{9}$

Hence, the probability of cured people in who took the remedy is 8/9.

3 0

2 years ago

Evaluate the expression for m=4 n=5 p=-2<br> -n^m

irina1246 [14]

-5^4
= -625

-5 • -5 • -5 • -5 = -625

5 0

2 years ago

Read 2 more answers

You deposit $2000 in a savings account earning 5% simple interest. How long will it take for the balance of the account to be $3

Elden [556K]

A year and a half or 18 months

4 0

3 years ago

the actual distance between the faucet and the pear tree is 11.2 meters. Find the corresponding distance on the drawing (1 centi

Arturiano [62]

Answer:

22.4 cms.

Step-by-step explanation:

If 0.5 meters = 1 centimeter, 1 meter = 1/0.5 = 2 cms on the drawing.

So 11.2 meters = 11.2 *2 = 22.4 cms (answer).

7 0

2 years ago