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
Umnica [9.8K]
3 years ago
10

Hey i keep on getting these questions wrong on my math hw and i was wondering if anyone could explain to me how to do them

Mathematics
1 answer:
zvonat [6]3 years ago
7 0

given

\frac{f(x + h) - fx}{h}

substitute the value given into the equation

=  \frac{5(x + h) ^{2} }{h}  - 5 {x}^{2}

= 5( {x}^{2}  + 2xh +  {h} ^{2} )   - 5 {x}^{2}

thus simplifying the numerator only

=  \frac{5 {x }^{2}  + 10xh + 5 {h}^{2}  - 5 {x}^{2} } {h}

=  \frac{10xh + 5 {h}^{2} }{h}

= 10x + 5h

You might be interested in
Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
3 years ago
The quotient of three and the quantity of three less than one-sixth of a number x?
UkoKoshka [18]
\frac{3}{\frac{x}{6}-3}=\frac{3}{\frac{x-18}{6}}=3*\frac{6}{x-18}=\frac{18}{x-18}
Good, right?
7 0
3 years ago
The average student loan debt for college graduates is $25,800. Suppose that that distribution is normal and that the standard d
qaws [65]
The answer would have to be 10
3 0
3 years ago
If, while training for a marathon, you ran 76 miles in 2 2/3 months, how many miles did you run each month? (Assume you ran the
Gnesinka [82]
In 2 2/3 months you ran 76 miles.
To know how many miles you ran each month, you can simply use cross multiplication as follows:
number of miles per month= (76) / (2 2/3)
= 28.5 miles
3 0
3 years ago
If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?
dezoksy [38]

Answer:

  • See below

Step-by-step explanation:

<u>This a form of the proportional relationship:</u>

  • f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of items

<u>We have:</u>

  • f(5) = 12

<u>It means:</u>

  • Total cost of 5 cupcakes is $12
5 0
2 years ago
Other questions:
  • The temperature went from 83 at noon to 72 at midnight. What is the percent of decrease in the temperature from noon to midnight
    8·2 answers
  • Find the value of the expression if x=12.<br> 1. 3x
    11·2 answers
  • How to solve 7^3x+4=49^2x+1
    7·1 answer
  • 20 is what percent of 52? Round your answer to the nearest tenth.
    6·2 answers
  • 8+8b+2b = 2b+16 solve
    9·1 answer
  • A curtain company has 1,787 yards of fabric to make identical curtains. If each curtain requires 6.5 yards of fabric, how many c
    11·1 answer
  • 4) Which expression is equivalent to (-4x+3y-5)2 ?
    14·1 answer
  • In a 7 horse field what is a box trifecta
    12·2 answers
  • A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining at least three tails on the losses
    15·1 answer
  • Does side lengths 2, 5 and 7 form a right triangle
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!