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3 years ago

7

For which pair of points can you use this number line to find the distance?

2 answers:

anzhelika [568]3 years ago

8 0

The answer is going to be c

KIM [24]3 years ago

4 0

Answer:

c

Step-by-step explanation:

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Can someone plz help me

lutik1710 [3]

D should be the answer. Hope this helps! :)

7 0

3 years ago

Read 2 more answers

(a) Find the domain off (x) = ln(ex − 3).<br> (b) Find F −1 and its domain.

Anettt [7]

Answer:

a) The domain of f(x) is $x > 1.1$ .

b)

The inverse function is:

$y = \ln{(e^{x} + 3)}The domain is all the real values of x.Step-by-step explanation:(a) Find the domain off f(x) = ln(e^x − 3)The domain of f(x) = ln(g(x)) is g(x) > 0. That means that the ln function only exists for positive values.So, here we have[tex]g(x) = e^{x} - 3$

So we need

$e^{x} - 3 > 0$

$e^{x} > 3$

Applying ln to both sides

$\ln{e^{x}} > \ln{3}$

$x > 1.1$

So the domain of f(x) is $x > 1.1$ .

(b) Find F −1 and its domain.

$F^{-1}$ is the inverse function of f.

How do we find the inverse function?

To find the inverse equation, we change y with x to form the new equation, and then we isolate y in the new equation. So:

Original equation:

f(x) = y = \ln{e^{x} - 3}

New equation

$x = \ln{e^{y} - 3}$

Here, we apply the exponential to both sides:

$e^{x} = e^{\ln{e^{y} - 3}}$

$e^{y} - 3 = e^{x}$

$e^{y} = e^{x} + 3$

Applying ln to both sides

$\ln{e^{y}} = \ln{e^{x} + 3}$

The inverse function is:

$y = \ln{e^{x} + 3}$

The domain is

$e^{x} + 3 > 0$

$e^{x} > -3$

$e^{x}$ is always a positive number, so it is always going to be larger than -3 no matter the value of x. So the domain are all the real values.

5 0

3 years ago

Rosalyn worked 44 hr one week and earned a $989 paycheck. she earnsnbsptime and a half (1.5 times her regular hourly wage) fo

Sergio [31]

Solution:

Rosalyn earned = $989 in 44 hour

Excess work = 44 - 40 = 4

Let the regular hourly wage = $x /hour

Overtime hourly wages = $1.5x/hour

40x + 4($1.5x) = $989

40x + 6x = $989

46x = $989

x = 21.5

Hence, Rosalyn's regular hourly wages is $21.5.

7 0

3 years ago

What is the median of these numbers: 11, 13, 4, 9

Rom4ik [11]

Answer:

10

Step-by-step explanation:

11, 13, 4, 9

In order to find the median we must first arrange the numbers in order (Least to greatest)

4, 9, 11, 13

If there is 2 numbers in the middle: the median is their average

If there is only one number in the middle, that number is the median.

Since there are two numbers (9 and 11) we have to take their average.

(9+11) / 2 = 20 / 2 = 10

The median is 10!

6 0

3 years ago

Read 2 more answers

How many significant figures does 0290<br> have?

docker41 [41]

Two significant figures.
The trailing zero is not significant

7 0

3 years ago