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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










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Reika [66]

Answer:

since this is a parallelogram meaning the sides are equal then JE would equal the same as GJ so that is 15

Step-by-step explanation:

8 0
2 years ago
For the function y = 9x, what is the output value if 5 is the input value?
Vinil7 [7]

x    y

0    0

1    9

2    18

3    27

4    36

5    45

8 0
3 years ago
Read 2 more answers
A company uses the function C(x)=20.50+2000, where C is the cost and x is the number of units it produces, to determine its dail
Kipish [7]
You left it out, but I'm thinking that there must be an 'x' next to the '20.50' in the function.  I'm so sure of it that I'll assume it, as I proceed to answer the question:

C(x) = 20.50x + 2,000

Subtract  2,000 from each side:      C - 2,000  =  20.50 x

Divide each side by  20.50 :        x  =  (C - 2,000) / 20.50

When C = $625,000 . . .

x = (625,000 - 2,000) / 20.50  =  623,000 / 20.50  =  30,390.2439

<em>30,390 complete units</em> are produced, and there are  5  bucks left over,
to split up among all the loyal employees who worked with such diligence and dedication to make it happen.  The company's senior management will graciously add each worker's share to his gross pay before taxes for the second month following the close of the current quarter, with a photocopied note inserted in the pay envelope, expressing management's sincere thanks to everyone, an admonition not to spend it all in one place, and a reminder that no matter how many festivals to their god they need to go out to the desert to celebrate, their tally of bricks for the next quarter shall not be diminished.

6 0
2 years ago
1 4/9 divided by -2/9
Varvara68 [4.7K]

Answer:

6 1/2

Step-by-step explanation:

change 1 4/9 into a improper fraction, which is 13/9, and when dividing fractions flip the second number upside down then multiply. 13/9 times -2/9 is -117/18. simplify, which is 13/2, which is also equal to 6 1/2. hope this helped

7 0
2 years ago
I need to show the work. Please help
Juliette [100K]

Answer:

x=23

Step-by-step explanation:

The two angles are equal so you can set 8x-77 and 3x+38 equal to each other and write it as:

8x-77=3x+38

Then you get like terms on the same sides by subtracting 3x from both sides and getting:

5x-77=38

Then you add 77 to both sides and get:

5x=115

Then you divide both sides by 5 and get x=23

3 0
2 years ago
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