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
zhuklara [117]
3 years ago
15

50 points will mark brainiest match each exponential function to it's rate of change

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Step-by-step explanation:

An exponential function of a^x (a>0) is always ln(a)*a^x, as a^x can be rewritten in e^(ln(a)*x). ... The derivative shows, that the rate of change is similiar to the function itself. For 0<a<1, ln(a) becomes negative and so is the rate of change.

You might be interested in
A company’s total revenue from manufacturing and selling x units of their product is given by: y = –3x2 + 900x – 5,000. How many
cricket20 [7]

Answer:

150 units;

Maximum revenue: $62,500.

Step-by-step explanation:

We have been given that a company’s total revenue from manufacturing and selling x units of their product is given by y=-3x^2+900x-5,000. We are asked to find the number of units sold that will maximize the revenue.

We can see that our given equation in a downward opening parabola as leading coefficient is negative.

We also know that maximum point of a downward opening parabola is ts vertex.

To find the number of units sold to maximize the revenue, we need to figure our x-coordinate of vertex.

We will use formula \frac{-b}{2a} to find x-coordinate of vertex.

\frac{-900}{2(-3)}

\frac{-900}{-6}

150

Therefore, 150 units should be sold in order to maximize revenue.

To find the maximum revenue, we will substitute x=150 in our given formula.

y=-3(150)^2+900(150)-5,000

y=-3*22,500+135,000-5,000

y=-67,500+135,000-5,000

y=62,500

Therefore, the maximum revenue would be $62,500.

5 0
3 years ago
Complete the equation of the line through (-10,-7) and (-5, -9).<br>Use exact numbers,​
steposvetlana [31]

Answer:

y=\frac{-5}{2}*x + 18

Step-by-step explanation:

A line in 2-dimensional space has the following general equation:

y=m*x+b

Where m is the slope of the line, and b just a number

the slope can be obtaine using th following formula:

m=\frac{x_{2} - x_{1} }{y_{2} - y_{1}}

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

m=\frac{-5 - (-10) }{-9 - (-7)}

Resulting that \frac{-5}{2}

To find the other term we can use any other point, I prefer us the first one so...

We have the following equation:

-7=\frac{-5}{2}*(-10)+b

Resulting that b=18

I just have to eval the point (-10,-7) in the equation stated at the beginning  knowin that m was calculated previously.

8 0
3 years ago
Read 2 more answers
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
worty [1.4K]

Answer:

a-b  divided into a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}

the reason is that the (a-b) vs (a+b) in the "SOAP"

same, opposite, always a plus the "-" in the "a-b" has to match the

sign between the two cubes

Step-by-step explanation:

4 0
3 years ago
Help pleaseeeeeee!!!!!!!
tigry1 [53]

Answer:

a) 100π

Step-by-step explanation:

A = πr²

A = (10²)π

A = 100π

7 0
3 years ago
4. A construction company used 40 yards of fencing on the perimeter of a rectangular
inessss [21]

2 Five Yard Sides And 2 15 yard sides.

8 0
3 years ago
Other questions:
  • What is 0= -3(x-2/3)+19 <br> please show work
    15·1 answer
  • 24 x + 6 Y is greater than or equal to 200​
    11·1 answer
  • What is the value of x?
    8·1 answer
  • A random sample of 18 young adult men (20 – 30 years old) was sampled. Each person was asked how many minutes of sports he watch
    7·1 answer
  • 2. Ken combined a triangle and a trapezoid to
    9·1 answer
  • At midnight, the temperatures is -4 degrees Celsius. At noon, the temperature is 20 degrees Celsius. By how many more degrees Ce
    14·1 answer
  • Mary read 40 pages of a novel in 15 minutes. If she continues reading at the same​ rate, how long will it take her to read the e
    11·2 answers
  • 3. A new a bank customer with $3,000 wants to open
    7·1 answer
  • Is this right? Please help me
    13·2 answers
  • PLEASE PLEASE HELP Please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!