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
The flower shop sold roses and tulips. The number of roses sold was 5 less than twice the number of tulips sold. If the shop sol
LenaWriter [7]

Answer: the number of roses sold is 69 while number of tulips is 37

Step-by-step explanation:

Let x represent the number of roses that the flower shop sold.

Let y represent the number of tulips that the flower shop sold.

The number of roses sold was 5 less than twice the number of tulips sold. This means that

x = 2y - 5 - - -- -- - - - - - ;1

If the shop sold 106 flowers in total, it means that

x + y = 106

Substituting x = 106 - y into equation 1, it becomes

106 - y = 2y - 5

3y = 106 + 5 = 111

y = 111/3 = 37

x = 106 - y = 106 - 37

x = 69

7 0
3 years ago
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. When Maya biked for 3 hours and then ran for 1 hour and
solmaris [256]

Answer: 8

Step-by-step explanation: Speed is distance/time

18/3 = 6 miles per hour running

18/2 = 9 miles per hour biking

3 hour bike = 27 miles

1.50 hour run (0.50 because 30 minutes is half of an hour) = 9 miles

27 + 9/3 + 1.50 = 36/4.5 or 8

4 0
3 years ago
8m 56mm change into mm​
Eduardwww [97]

Answer:

8056 mm

Step-by-step explanation:

1 m=1000 mm

(8×1000)mm+56 mm

=8000 mm+56 mm

=8056 mm

3 0
3 years ago
What is the value of 4 2/3 divided by 2/5
Nitella [24]
4 2/3 /2 /5
14/3 / 2/5 cross multiply 
7/3 / 1/5 multiply 7 and 5 and 3 and 1
35/3 simplify
11 2/3
6 0
3 years ago
If 2 and 4 each divide q without remainder, which of the following must q divide
Marrrta [24]
Any multiple of 4 would work.
7 0
3 years ago
Other questions:
  • Identify the slope and Y intercept of the graph of the equation then graph The equation y=4/5x+1
    9·1 answer
  • Which function represents g(x), a reflection of f(x) =4(1/2)x across the x-axis?
    7·2 answers
  • Rob and Nancy are working on a project. Rob completes 1/8 OF IT ON Monday and 3/8 of it on Tuesday. Nancy completes 2/8 of it on
    15·2 answers
  • 27 points help nowwwww
    15·1 answer
  • Eight less a number is less than or equal to 17
    10·1 answer
  • A person carries 3 bottles of compound X, 3 bottles of compound Y and 3 bottles of compound Z. While X and Y will react vigorous
    15·1 answer
  • Raymond works in an electronics store and gets a 12 percent employee discount. The original cost of a video game system is $175.
    12·2 answers
  • Approximate √80 by using perfect squares. 80 is between which two perfect squares.​
    15·1 answer
  • Can i get some help with this pls
    8·2 answers
  • Which property is this an example of?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!