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3 years ago

15

Please help quickly! Will give points to 1st right answer!

1 answer:

Kobotan [32]3 years ago

4 0

The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

<h3>What are domain and range?</h3>

The domain means all the possible values of the x and the range means all the possible values of the y.

The table is shown below.

Let the logarithm function with the variables x and y. Then we have

y = logₐ x

At x = 25, the value of y will be 2. Then the value of a will be

2 = logₐ 25

2 = 2 logₐ 5

1 = logₐ 5

Then 1 can be written as

1 = log₅ 5

Then on comparing, the value of a will be

a = 5

Then the logarithm function will be

y = log₅ x

Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

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What is the ratio of surface <br> area to volume?

Katena32 [7]

The ratio of surface area to volume is the amount of surface area per unit volume of a thing. This is an important value in various topics. In chemistry, this is an important value for chemical reactions. It can show reactivity of a solid material. Also, it has found some importance in biology because it shows how the cells are affected by the environment where that cell is found.<span />

6 0

4 years ago

What is the axis of symmetry for the graph of y – 4x = 7 – x2

eimsori [14]

we know that

The equation in vertex form of a vertical parabola is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to the x-coordinate of the vertex

so

$x=h$ -----> equation of the axis of symmetry

In this problem we have

$y-4x=7-x^{2}$

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-7=-x^{2}+4x$

$y-7=-(x^{2}-4x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-7-4=-(x^{2}-4x+4)$

$y-11=-(x^{2}-4x+4)$

Rewrite as perfect squares

$y-11=-(x-2)^{2}$

$y=-(x-2)^{2}+11$

the vertex is the point $(2,11)$

therefore

<u>the answer is</u>

The axis of symmetry is

$x=2$

see the attached figure to better understand the problem

5 0

4 years ago

Read 2 more answers

What is the quotient?

Butoxors [25]

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

$\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343$

8 0

3 years ago

Read 2 more answers

A round trip from Montreal to LA is 2,688 miles and takes an airline 9 hours and 20 minutes. Given the outbound trip is the same

Ksju [112]

Answer:

4.074 hours

Step-by-step explanation:

r =

The formula for speed = Distance × Time

Hence,

Let the outbound speed = r

return trip speed = r + 25x/100 = 125r/100 = 1.25r

Note that: 9 hours and 20 minutes = 9.167

Let t1 and t2 be the time taken to travel on way and return journey.

t1 + t2 = 9 hr 10 min = 9.167 hrs

Hence:

2688/r + 2688/1.25r = 9.167

LCM(1.25r)

(2688 × 1.25) + 2688 /1.25r= 9.167

3360 + 2688 = 9.167 × 1.25r

6048 = 11.45875r

r = 6048/11.45875

Outbound trip rl = 527.8062615904876mph

Return trip speed = r + 25x/100 = 125r/100 = 1.25r

= 1.25 ×

659.75782699mph

Time for return trip = Distance/Speed

= 2,688 miles/659.75782699mph/

= 4.0742222222 hours

Approximately = 4.074 hours

8 0

3 years ago

What is 10 divided by 0.8? Show your work.

Alexus [3.1K]

12.5------------------------------------

5 0

4 years ago

Read 2 more answers