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
alexdok [17]
3 years ago
6

Explain why the X coordinates of the points where the graphs of the equations y=2^-x and y=4^x+3 intersects

Mathematics
1 answer:
sveta [45]3 years ago
6 0
Hello,

y=2^(-x)
y=2^(2x)+3

==>2^(2x)+3=1/2^x
==>2^(3x)+3*2^x-1=0 (1)
Let's assume u=2^x
(1)==>u^3+3*u-1=0

which as 3 roots
u=0.322185354626 or
u = -0.161092677313 + i1.754380959784 or
u = -0.161092677313 - i1.754380959784.

Let's take the real solution

 0.322185354626=2^x
==>x=ln(0.322185354626) / ln(2)
 x=-1,6340371790199...

an other way is
f(x)=2^(3x)+3*2^x-1
f(-2)=1/64+3/4-1=-15/64 <0
f(-1)=1/8+1-1=1/8>0
==> there is a solution betheen -2<x<-1










You might be interested in
Find the area of parallelogram
Alika [10]

Answer:

45m

Step-by-step explanation:

9*5

5 0
2 years ago
Mr. Romero is buying a cell phone that has a regular price of $649. The cell phone is on sale for 15% off the regular price. Wha
Dafna11 [192]

Answer:

15 \div 100 \times 649 = 97.35 \\ 649 - 97.35 = 551.65

therefore the new price is $551.65

6 0
2 years ago
HELP
Assoli18 [71]

Answer:

C. Money market

Best regards

4 0
3 years ago
Whats the action “verb of the boy runs into the woods”? Please help
Brilliant_brown [7]

Answer:

the boy runs onto the woods

Step-by-step explanation:

verb: a word that describes an action

so the answer is runs

4 0
3 years ago
Which is the more reasonable measurement of the distance between the tracks on a railroad: 1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Ju
SVEN [57.7K]
The best answer is 1.435 ·103 because while they both are really small for a rail road track that one is bigger. the final answer for that is 147.805mm.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is water cement ratio?
    8·2 answers
  • Cobalt-60 is used in the treatment of cancer. A sample contains 8 grams of co-60 wbere k=0.1308
    9·1 answer
  • I need some help to find the equation in point slope form
    14·1 answer
  • HEEEELPPPP I WILL GIVE BRAINLIEST
    12·1 answer
  • - 5.2-(-3.1) + 5.2<br> I
    14·2 answers
  • One hundred people in your neighborhood always drive to work between 7:30 and 8:00 A.M. and arrive 30 minutes later. Why must tw
    6·1 answer
  • Find the missing lengths of the sides.
    10·1 answer
  • If an infinite series will__<br> it does not converge?
    6·1 answer
  • 3(6p-1)=11p-45 heeelp
    11·2 answers
  • Answer correctly pls and thanks ^^
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!