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
xxMikexx [17]
3 years ago
6

If f(x)=4x−11, what is the value of f(5)?

Mathematics
1 answer:
galina1969 [7]3 years ago
4 0
F(5)=4(5)-11
f(5)=20-11
f(5)=9
You might be interested in
First make a substitution and then use integration by parts to evaluate the integral. (Use C for the constant of integration.) x
e-lub [12.9K]

Answer:

(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}+\frac{5x}{2}+C

Step-by-step explanation:

Ok, so we start by setting the integral up. The integral we need to solve is:

\int x ln(5+x)dx

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:

U=5+x

du=dx

x=U-5

so when substituting the integral will look like this:

\int (U-5) ln(U)dU

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

\int (pq')=pq-\int qp'

so we must define p, q, p' and q':

p=ln U

p'=\frac{1}{U}dU

q=\frac{U^{2}}{2}-5U

q'=U-5

and now we plug these into the formula:

\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\int \frac{\frac{U^{2}}{2}-5U}{U}dU

Which simplifies to:

\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\int (\frac{U}{2}-5)dU

Which solves to:

\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\frac{U^{2}}{4}+5U+C

so we can substitute U back, so we get:

\int xln(x+5)dU=(\frac{(x+5)^{2}}{2}-5(x+5))ln(x+5)-\frac{(x+5)^{2}}{4}+5(x+5)+C

and now we can simplify:

\int xln(x+5)dU=(\frac{x^{2}}{2}+5x+\frac{25}{2}-25-5x)ln(5+x)-\frac{x^{2}+10x+25}{4}+25+5x+C

\int xln(x+5)dU=(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}-\frac{5x}{2}-\frac{25}{4}+25+5x+C

\int xln(x+5)dU=(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}+\frac{5x}{2}+C

notice how all the constants were combined into one big constant C.

7 0
3 years ago
Help please! Thank you!
Stolb23 [73]
Because a rectangular pyramid's base is square, the cross section would be as well

4 0
3 years ago
Can someone solve and explain this question plz​
oee [108]

firstly let's convert the mixed fraction to improper fraction, then hmmm let's see we have two denominators, 5 and 3, and their LCD will simply be 15, so we'll multiply both sides by that LCD to do away with the denominators, let's proceed,

\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{z}{5}-4=\cfrac{7}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{z}{5}-4 \right)=15\left( \cfrac{7}{3} \right)}\implies 3z-60=35 \\\\\\ 3z=95\implies z=\cfrac{95}{3}\implies z = 31\frac{2}{3}

4 0
3 years ago
What is the factored form of 125a^6-64
SVETLANKA909090 [29]
<span>(5a^2-4)*(25a^4+20a^2+16) is your answer</span>
6 0
3 years ago
Read 2 more answers
What is the prime factor of 42
dsp73

Answer:

2 × 3 × 7

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • What is the answer to 3z 5z 4-9? every time i answer it differently and i can't get the right answer.?
    15·1 answer
  • The mixed number -4 1/5 can be written as the improper fraction -19/15 True False
    9·2 answers
  • If the range of the function f(x) = 4x – 3 is {11.4, 15, 17, 29}, what is its domain?
    15·1 answer
  • Does anyone know? take ur time and its ok if u dont
    13·2 answers
  • Write 48 hundredths as a fraction and a decimal.
    5·2 answers
  • Use technology or a z-score table to answer the question.
    6·1 answer
  • Which of the following is a true statement about functions ?
    15·1 answer
  • EXPERT HELP I'LL GIVE BRAINLIEST:<br><br><br> A or D
    10·2 answers
  • The manager of a store records the mode of payment of the 90 customers who visited his store today in the table below.
    5·1 answer
  • A fireperson needs to use a ladder of 25 feet in length to rescue a cat that has become
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!