All categories

3 years ago

What is the domain of this function y= 1/ square root 2-x

Mathematics

1 answer:

Ainat [17]3 years ago

8 0

Answer:

Domain:

( − ∞ , 2 ] , { x | x ≤ 2 }

Range:

[ 0 , ∞ ) , { y | y ≥ 0 }

You might be interested in

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r =

avanturin [10]

Answer:

Step-by-step explanation:

We know that the equation for the depreciation of the car is:

$y=A(1-r)^t$

Where y is the current cost, A is the original cost, r is the rate of depreciation, and t is the time, in years.

We are told that the value of the car now is half of what it originally cost. So:

$y=\frac{1}{2}A$

Substitute this for y:

$\frac{1}{2}A=A(1-r)^t$

We also know that the rate of depreciation is 10% or 0.1. Substitute 0.1 for r:

$\frac{1}{2}A=A(1-0.1)^t$

So, let's solve for t. Divide both sides by A:

$\frac{1}{2}=(1-0.1)^t$

Subtract within the parentheses:

$\frac{1}{2}=(0.9)^t$

Take the natural log of both sides:

$\ln(\frac{1}{2})=\ln((0.9)^t})$

Using the properties of logarithms, we can move the t to the front:

$\ln(\frac{1}{2})=t\ln(0.9)$

Divide both sides by ln(0.9):

$t=\frac{\ln(\frac{1}{2})}{\ln(0.9)}$

Use a calculator. So, the car is approximately:

$t\approx6.6\text{ years old}$

Our answer is D.

And we're done!

7 0

3 years ago

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P

Ivanshal [37]

Answer:

44.3 is the one

Step-by-step explanation:

mark me and give my 5 start and heart

6 0

3 years ago

Read 2 more answers

The regular price of a pair of tennis shoes are $65.00. They are on sale for $52.00. What is the percent of decrease from the re

madreJ [45]

Answer:

i think b 25%

Step-by-step explanation:

but im not sure tbh

6 0

3 years ago

Read 2 more answers

In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10 adults in the United States wil

V125BC [204]

Answer:

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

Step-by-step explanation:

We are given the following information:

We treat adult adults wear glasses or contact lenses as a success.

P(Adults wear glasses or contact lenses) = 75% = 0.75

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(fewer than 8 of the selected adults wear glasses or contact lenses)

$P(x < 8)\\=1 - P(x = 8) - P(x = 9) - P(x = 10)\\=1 - \binom{10}{8}(0.75)^8(1-0.75)^2 - \binom{10}{9}(0.75)^9(1-0.75)^1- \binom{10}{10}(0.75)^10(1-0.75)^0\\=1 - 0.2815-0.1877-0.0563\\= 0.4745$

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

4 0

3 years ago

Hi guys, I am really stuck on this question can somebody please tell the answer??? asap!

Sergio [31]

Draw a line from point Q to point A. Then draw another line segment from point Q to point A'. These lines are marked in red in the attached image (figure 1). Notice we have a 90 degree angle form. To go from A to A', we rotate 90 degrees counterclockwise (green angle in figure 2). Or we can rotate 270 degrees clockwise (gray angle in figure 2).

So that's why the two answers are:

choice B) 90 degrees counterclockwise

choice D) 270 degress clockwise

Side Note: the other points (B, C, and D) will follow a similar rotation path compared to point A. Either rotate those preimage points 90 degrees counterclockwise or 270 degrees clockwise so they match with their respective image points. All rotations are done around point Q.

4 0

3 years ago