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
Tems11 [23]
3 years ago
5

The tables below show the values of f(x) and g(x) for different values of x:

Mathematics
1 answer:
amid [387]3 years ago
6 0
Hello,

Answer C) x=1 for 3^1+3=3+3=6 and 2*3^1=2*3=6

Without the tables:
 2*3^x=3^x+3
==> 2*3^x-3^x=3
==>3^x * (2-1)=3
==>3^x=3^1
==>x=1


You might be interested in
the formula for the area o a triangle is 1/2 bh=A. Which of the following is not a possible first step to rearrange this formula
ella [17]

Answer:

Step-by-step explanation:

1/2 bh=A

to find the base of the triangle you can

divide by h

or multiply by 2

what are the other options given to you?

4 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
timama [110]

Answer:

  (a)  h(x) = 1/2x -1/2

Step-by-step explanation:

The inverse of the function y = f(x) is found by solving x = f(y).

__

<h3>setup</h3>

  x = f(y)

  x = 2y +1 . . . . . . use the definition of f(x)

<h3>solution</h3>

  x -1 = 2y . . . . . subtract 1

  (x -1)/2 = y . . . . divide by 2

  y = 1/2x -1/2 . . . . eliminate parentheses

  h(x) = 1/2x -1/2 . . . write in functional form

The inverse of f(x) = 2x+1 is ...

  h(x) = 1/2x -1/2

5 0
1 year ago
Read 2 more answers
Could use some help pls.
Murrr4er [49]

Answer:

9 cans of soup and the 4 frozen dinners were purchased

Step-by-step explanation:

Let x represent the number of cans of soup purchased.

Let y represent the number of frozen dinners purchased.

Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that

x + y = 13

Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that

250x + 550y = 4450 - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

250(13 - y) + 550y = 4450

3250 - 250y + 550y = 4450

- 250y + 550y = 4450 - 3250

300y = 1200

y = 1200/300

y = 4

Substituting y = 4 into x = 13 - y, it becomes

x = 13 - 4 = 9

7 0
3 years ago
The plane x+y+2z=8 intersects the paraboloid z=x2+y2 in an ellipse. Find the points on this ellipse that are nearest to and fart
DiKsa [7]

Answer:

The minimum distance of   √((195-19√33)/8)  occurs at  ((-1+√33)/4; (-1+√33)/4; (17-√33)/4)  and the maximum distance of  √((195+19√33)/8)  occurs at (-(1+√33)/4; - (1+√33)/4; (17+√33)/4)

Step-by-step explanation:

Here, the two constraints are

g (x, y, z) = x + y + 2z − 8  

and  

h (x, y, z) = x ² + y² − z.

Any critical  point that we find during the Lagrange multiplier process will satisfy both of these constraints, so we  actually don’t need to find an explicit equation for the ellipse that is their intersection.

Suppose that (x, y, z) is any point that satisfies both of the constraints (and hence is on the ellipse.)

Then the distance from (x, y, z) to the origin is given by

√((x − 0)² + (y − 0)² + (z − 0)² ).

This expression (and its partial derivatives) would be cumbersome to work with, so we will find the the extrema  of the square of the distance. Thus, our objective function is

f(x, y, z) = x ² + y ² + z ²

and

∇f = (2x, 2y, 2z )

λ∇g = (λ, λ, 2λ)

µ∇h = (2µx, 2µy, −µ)

Thus the system we need to solve for (x, y, z) is

                           2x = λ + 2µx                         (1)

                           2y = λ + 2µy                       (2)

                           2z = 2λ − µ                          (3)

                           x + y + 2z = 8                      (4)

                           x ² + y ² − z = 0                     (5)

Subtracting (2) from (1) and factoring gives

                     2 (x − y) = 2µ (x − y)

so µ = 1  whenever x ≠ y. Substituting µ = 1 into (1) gives us λ = 0 and substituting µ = 1 and λ = 0  into (3) gives us  2z = −1  and thus z = − 1 /2 . Subtituting z = − 1 /2  into (4) and (5) gives us

                            x + y − 9 = 0

                         x ² + y ² +  1 /2  = 0

however, x ² + y ² +  1 /2  = 0  has no solution. Thus we must have x = y.

Since we now know x = y, (4) and (5) become

2x + 2z = 8

2x  ² − z = 0

so

z = 4 − x

z = 2x²

Combining these together gives us  2x²  = 4 − x , so

2x²  + x − 4 = 0 which has solutions

x =  (-1+√33)/4

and

x = -(1+√33)/4.

Further substitution yeilds the critical points  

((-1+√33)/4; (-1+√33)/4; (17-√33)/4)   and

(-(1+√33)/4; - (1+√33)/4; (17+√33)/4).

Substituting these into our  objective function gives us

f((-1+√33)/4; (-1+√33)/4; (17-√33)/4) = (195-19√33)/8

f(-(1+√33)/4; - (1+√33)/4; (17+√33)/4) = (195+19√33)/8

Thus minimum distance of   √((195-19√33)/8)  occurs at  ((-1+√33)/4; (-1+√33)/4; (17-√33)/4)  and the maximum distance of  √((195+19√33)/8)  occurs at (-(1+√33)/4; - (1+√33)/4; (17+√33)/4)

4 0
3 years ago
A movie membership costs $10 a month plus an additional $5 for each movie purchased. If you have only budgeted to spend a maximu
Aliun [14]

Answer:

3

Step-by-step explanation:

25-10/3=3

7 0
3 years ago
Read 2 more answers
Other questions:
  • Help me someone please ASAP
    11·1 answer
  • The vectors &lt;4,2&gt; and &lt;-4,-2&gt; are opposite directions and are orthogonal to the vector u = &lt;2,- 4&gt;. That’s bec
    11·1 answer
  • M2-3m+ 24 = 7m<br> solve by factoring
    10·1 answer
  • IS IT C OR D?! HELP ME PLS
    5·1 answer
  • A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 290 people over
    10·1 answer
  • Andrea and Ashley are middle distance runner's for the schools traffic and FaceTime in the 500 m race are approximately normally
    15·1 answer
  • PLEASE HELP ME! asap!
    11·2 answers
  • PLS HELP ASAP
    11·2 answers
  • Joe tosses a quarter into the air. He does this 30 times. How many times should he expect it to land on heads?
    8·1 answer
  • Factor completely.<br><br> 75u^3- 12u<br> --
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!