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
Soloha48 [4]
3 years ago
13

Consider f(x)=4-e^x

Mathematics
1 answer:
Gennadij [26K]3 years ago
3 0

\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x \\\\[-0.35em] \rule{34em}{0.25pt}

\bf f(x) = 4-e^x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{when it crosses the x-axis, y = 0~\hfill }}{0 = 4-e^x\implies e^x=4\implies \ln(e^x)=\ln(4)\implies x=\ln(4)}~\hfill \boxed{(\stackrel{x_1}{\ln(4)}~~,~~\stackrel{y_1}{0})} \\\\[-0.35em] ~\dotfill\\\\ A)\\\\ \left. \cfrac{df}{dx}=0-e^x\right|_{x= \ln(4)}\implies -e^{ln(4)}\implies -e^{\log_e(4)}\implies -4 \\\\[-0.35em] ~\dotfill\\\\ B)\\\\ y-0=-4[x-\ln(4)]\implies y=-4x+4\ln(4)

You might be interested in
What should be the right answer for this question
xxTIMURxx [149]

Answer:

3cm

Step-by-step explanation:

cb is the same length bisector ac, so the answer is <u>3 cm</u>

3 0
3 years ago
How many pence is 1 shilling
Shkiper50 [21]

Answer:

Twelve pence made a shilling

I hope this is the ans

4 0
2 years ago
In a batch of 960 calculators, 8 were found to be defective. What is a probability that a calculator chosen at random will be de
DaniilM [7]
Out of 960 calculators, 8 were found be to defective

Probability:
                 \frac{8}{960}
                 0.00833...
As a Percent:
                 0.00833....× 100
                 0.833%
To the nearest tenth of percentage:
                 0.833% ≈ 0.8%
8 0
3 years ago
Read 2 more answers
A pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings. How many different pizzas can be mad
KonstantinChe [14]

Answer:  The total number of  pizzas that can be made from the given choices is 24.

Step-by-step explanation:  Given that a pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings.

We are to find the number of different pizzas that can be made from the given choices.

We have the <em><u>COUNTING PRINCIPLE :</u></em>

If we have m ways of doing one task and n ways of doing the second task, then the number of ways in which we can do both the tasks together is m×n.

Therefore, the number of different pizzas that can be made from the given choices is

N=3\times2\times4=24.

Thus, the total number of  pizzas that can be made from the given choices is 24.

5 0
3 years ago
Whats 4 + 2 i forgot,<br> and whats 5 + 5 + 9 + 8 + 90+ 90 - 1000 i also forgot
Vlad [161]

Answer:

4 + 2 = 6

5 + 5 + 9 + 8 + 90+ 90 - 1000 = -793

Step-by-step explanation:

hope this helps ;)

have a great day!! <3

8 0
2 years ago
Other questions:
  • A flagpole cast a shadow 16 feet long at the same time a pole 9 feet high casts a shadow 6feet long what is the height in feet o
    15·1 answer
  • a rectangle on a coordinate plane is translated 5 units up and 3 units to the left. which rule describes the translation?
    13·2 answers
  • Y varies directly with x it has a constant rate of change of 6. When the value of y is 11, then the value of x could be?
    15·1 answer
  • What is the area of the figure, and please show the steps?
    10·2 answers
  • Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both insp
    11·1 answer
  • Which number is a solution of the inequality b&gt;11.3
    13·1 answer
  • Solve this expression:-4x\15=9
    9·1 answer
  • Select the values that make the inequality true
    11·2 answers
  • ASAP!!! 30POINTS!!!!<br><br>what is the equation of the line graph below?​
    14·1 answer
  • Graph the solution set.-10x≤2y
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!