1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hoochie [10]
4 years ago
6

What are the domain and range of the logarithmic function f(x) = log7x?

Mathematics
1 answer:
kap26 [50]4 years ago
6 0
The domain is (0, ∞)
The range is (-∞, ∞)
You might be interested in
The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a
liubo4ka [24]

Answer:

(x,y,z)=(1477, 1464, 1437)

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

<h3>Case-1:</h3>
  • Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
  • Mr.A earns Rs6000

So, the equation would be

3x  +  5y - 4z = 6000

<h3>Case-2:</h3>
  • Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
  • Mr B neither lose nor gain meaning he has made 0₹

hence,

2x   - 3y  +  z = 0

<h3>Case-3:</h3>
  • Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
  • Mr.C earns 13000₹

therefore,

- x    + 4y  +  6z = 13000

Thus our system of equations is

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\end{cases}\\\begin{cases}2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

Now solve the equation accordingly:

\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}

Solving the equation for x and y yields:

\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

\implies z= \dfrac{217000}{151}

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0
2 years ago
A dogs weighs 7 pounds and triples each year for two years. How much does the dog weigh?
Tanya [424]
Year 1: 7lbs x 3years= 21lbs
Year 2: 21lbs x 3years = 63lbs
5 0
3 years ago
Read 2 more answers
Adriana baked 42 cookies with 7 scoops of flour. With 8 scoops of flour, how many cookies
mylen [45]

Answer:

she can make 48 cookies.

4 0
3 years ago
Read 2 more answers
Stephen and Bridget win some money and share it in the ratio 1:3. Stephen gets £11. How
pentagon [3]

Answer:

£44

Step-by-step explanation:

We have been given the ratio 1 : 3 , where 1 is stephens value and 3 is bridgets value.

We have told that stephen gets £11.

The relationship between stephens 'value' of 1 and the amount of money that he actually gets (11) is x11.

Therefore we must also x11 to Bridgets value.

11 x 3 = £33

Now, we add the two answers to find how much they won in total.

£33 + £11 = £44

hope this helps :)

4 0
3 years ago
Read 2 more answers
For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr
viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

x_{2}=3x_{1} -2

substitute in equation (2), we get

9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k

we cannot find the value of x_{1} and x_{2}.

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0
3 years ago
Other questions:
  • If XY=18, YZ=14, and XZ=20, find the radius of each circle.
    6·1 answer
  • How to work out corresponding and alternate angles
    8·2 answers
  • Which expression is equivalent to 2.25 + 2.25x + 1 - 0.75x + 2x
    6·1 answer
  • Determine the solution to the system of equation below, algebraically. <br> 5x+3y=28<br> x+y=8
    11·1 answer
  • The volume of a cone is 800 cubic cm and the radius is 9 cm. Calculate the height.
    7·1 answer
  • The graph shows time and distance traveled for two objects.
    11·2 answers
  • A worker earns $9 per hour and works 25 hours each week. If the worker receives a 3% pay increase, how much additional pay will
    9·1 answer
  • What is the estimate 20 9/11 divided by 6 19/20?<br> A) 147<br> B) 120<br> C) 4<br> D) 3
    15·1 answer
  • What is the name of the point where the sides of an angle intersect
    11·2 answers
  • 1.How many combinations are possible from the letters HOLIDAY if the letters are taken?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!