All categories

3 years ago

What is the range of y = log Subscript 2 Baseline (x minus 6)?

Mathematics

2 answers:

Andru [333]3 years ago

5 0

Answer: d all real

Step-by-step explanation:

PtichkaEL [24]3 years ago

4 0

Answer:

Step-by-step explanation:

I just took the test

You might be interested in

The value of an investment A (in dollars) after t years is given by the function A(t) = A0ekt. If it takes 10 years for an inves

Ludmilka [50]

Answer:

20 years.

Step-by-step explanation:

We have been given a formula $A(t)=A_0\cdot e^{kt}$ , which represents the value of an investment A (in dollars) after t years.

Substitute the given values:

$\$3,000=\$1,000\cdot e^{k*10}$

Let us solve for k.

$\frac{\$3,000}{\$1,000}=\frac{\$1,000\cdot e^{k*10}}{\$1,000}$

$3=e^{k*10}$

Take natural log of both sides:

$\text{ln}(3)=\text{ln}(e^{k*10})$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(3)=10k\cdot\text{ln}(e)$

We know that $\text{ln}(e)=1$ , so

$\text{ln}(3)=10k\cdot 1$

$\text{ln}(3)=10k$

$\frac{\text{ln}(3)}{10}=\frac{10k}{10}$

$\frac{\text{ln}(3)}{10}=k$

$\$9,000=\$1,000\cdot e^{\frac{\text{ln}(3)}{10}*t}$

Dividing both sides by 1000, we will get:

$9=e^{\frac{\text{ln}(3)}{10}*t}$

Take natural log of both sides:

$\text{ln}(9)=\text{ln}(e^{\frac{\text{ln}(3)}{10}*t)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot\text{ln}(e)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot1$

$10*\text{ln}(9)=10*\frac{\text{ln}(3)}{10}*t$

$10\text{ln}(9)=\text{ln}(3)*t$

$10\text{ln}(3^2)=\text{ln}(3)*t$

$2\cdot 10\text{ln}(3)=\text{ln}(3)*t$

$20\text{ln}(3)=\text{ln}(3)*t$

Divide both sides by $\text{ln}(3)$ :

$\frac{20\text{ln}(3)}{\text{ln}(3)}=\frac{\text{ln}(3)*t}{\text{ln}(3)}$

$20=t$

Therefore, it will take 20 years for the investment to be $9,000.

5 0

3 years ago

Can anyone help me to solve these 2 questions please <br>I need very clear steps !!!!

DochEvi [55]

Hope this helps you

4 0

3 years ago

Max makes bread that calls for 7/8 cup of raisins per loaf. He has 5 1/4 cups of raisins. How many loaves of bread can he make?

Sveta_85 [38]

Answer:

False.

Step-by-step explanation:

The answer is NOT 6 1/2 loaves it is 6 loaves.

Knowing that there Max has 5 1/4 cups of raisins and each loaf requires 7/8 cup of raisins, we would need to divide.

Let's turn the 5 1/4 into an improper fraction so when we divide the two fractions, it would be easier!

<u>To turn 5 1/4 into an improper fraction we need to...</u>

5 x 4 = 20

20 + 1

21/4

Now we divided 21/4 by 7/8.

When dividing fractions remember the rule: KEEP CHANGE FLIP!

We keep the first fraction...which is 21/4 in this case

Change the sign from division to multiplication

21/4 x 7/8

And flip 7/8 so it becomes 8/7

21/4 x 8/7

= 168/28

= 6 loaves

So, the answer is not 6 1/2 loaves (false!)

7 0

3 years ago

Read 2 more answers

Graph the equation.<br> y-1 = -2(x-2)

IrinaVladis [17]

Answer:

y-1 = -2(x-2) graph:

4 0

3 years ago

Read 2 more answers

24 POINTSSS for anyone who answers The of a square garden is 36x^2 -60+25 find the perimeter if x=3

Misha Larkins [42]

Answer:

The perimeter is 52

Step-by-step explanation:

The area is 36x^2 -60x+25

We set this equal to 0 to find the length and width

A= 36x^2 -60x+25

We notice that this is a perfect square trinomial

(a^2 -2ab-b^2) = (a-b)^2

let a = 6x and b=5

A=(6x-5) (6x-5)

The length and width are the same since is it a square (we know it is a square so they have to be equal)

The perimeter of a square is

P =4s

P =4 (6x-5)

Distribute the 4

= 24x -20

Let x =3

P = 24(3) -20

=72 -20

= 52

The perimeter is 52

5 0

4 years ago