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
Ghella [55]
3 years ago
15

Solve for x: 3ex + 2 = 74. Describe the process used to solve the equation and show each step.

Mathematics
1 answer:
Zolol [24]3 years ago
5 0

The solution of the equation is x = 3.18

Step-by-step explanation:

The equation we have to solve is:

3e^x + 2 = 74

First of all, we subtract -2 on both sides of the equation:

3e^x +2 -2 = 74-2\\3e^x = 72

Now we divide both sides of the equation by 3:

\frac{3e^x}{3}=\frac{72}{3}\\e^x=24

And now we apply the natural logarithm on both sides:

ln(e^x) = ln(24)\\x=ln(24)

And using a calculator, we find

x=ln(24)=3.18

Learn more about equations:

brainly.com/question/13168205

brainly.com/question/3739260

#LearnwithBrainly

You might be interested in
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theore
velikii [3]

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠S≅∠U

therefore

side RS must be proportional to side VU  and side ST must be proportional to side UT

so

RS/VU=ST/UT

<em>Verify</em>

substitute the given values

12/6=16/8

2=2 -----> is true

therefore

The two sides are proportional

6 0
3 years ago
Read 2 more answers
In Cathy’s garden, 5/6 of the area is planted with flowers. Of the flowers, 3/10 of them are red. What fraction of Cathy’s garde
Leno4ka [110]
50/33 you have to add then mutlyply
7 0
4 years ago
Find ST. Help me solve please and thank you
slava [35]

Answer: ST is equal to 12

Step-by-step explanation:

If RU  is equal to 24 as a whole  and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.

6 + 6 +x  = 24   where x is the length of ST

12 + x = 24  

-12         -12

x = 12    

6 0
3 years ago
Use the factor theorem to determine whether v + 5 is a factor of v 4 + 16v 3 + 8v 2 - 725. No yes.
levacccp [35]

By factor theorem (v+5) is not a factor of the given polynomial f(v).

What does factor theorem mean?

When thoroughly factoring the polynomials, mathematicians apply the factor theorem. The polynomial's zeros and factors are connected by this theorem.

                   The factor theorem states that if a is any real number and f(x) is a polynomial of degree n 1 then (x-a) is a factor of f(x) if f(a)=0.

The factor theorem states that

f(x) has a factor (x-k) if and only if f(k) = 0

We are given the following information.

F(v) = v 4 + 16v 3 + 8v 2 - 725

        We have to check whether (v+5) is a factor of given polynomial.

( v + 5 ) = ( v - ( - 5 )

 f( -5 ) = ( -5 )^{4} + 16( -5)^{3} + 8( -5)^{2} - 725

          = - 1900

 f(-5) ≠ 0

Learn more about factor theorem

brainly.com/question/13547729

#SPJ4

7 0
1 year ago
What are the next 3 terms of the sequence-3, -7, -11, -15?​
ikadub [295]

Answer:

-19,-23,-27

Step-by-step explanation:

When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Use the substitution method to solve the system of equations. Choose the correct ordered pair. 
    10·1 answer
  • Could you tell me what 11/8 would be if it where a mixed number
    7·2 answers
  • There were 200 people who voted at the Town council meeting all these people 40% voted for a new basketball court in the park ho
    14·1 answer
  • Considere a equação 5x + 5 = 4x - 2. a) substituindo x por -7 e efetuando os cálculos, mostre que -7 é a solução da equação. b)
    6·1 answer
  • Tasha believes that she can rewrite the diffrence 120 - 36 as a product of the GCF of the two numbers and another diffrence.Is s
    15·1 answer
  • 20 POINTS!! Betty arranged equal numbers of movies on four shelves of a shelving unit and placed 6 of her favorite movies on the
    7·1 answer
  • ANSWER ASAP I NEED HELP!!!!
    11·2 answers
  • Marvin wrote down all of the numbers from 1 to 100. How many times did the digit 8 appear in Marvins's list?
    9·1 answer
  • Scale factor: 1:4
    14·1 answer
  • What is the area of the segment?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!