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
snow_lady [41]
3 years ago
15

For what value of x does 3 Superscript 2 x Baseline = 9 Superscript 3 x minus 4?

Mathematics
2 answers:
Natalka [10]3 years ago
8 0
Answer: B
Hope this helps
Gala2k [10]3 years ago
5 0

Answer:

b. 2

Step-by-step explanation:

3^{2X} = 9^{3X - 4}  ------------------------------------(1)

To solve the equation above, we will follow the steps below;

9 = 3²

Will replace 9 = 3² in equation (1)

3^{2X} = (3^{2}) ^{3X - 4}

open the bracket

3^{2X} = 3^{6x - 8}  

The 3 on the left-hand side will cancel-out the 3 on the right-hand side of the equation. Thus our equation becomes;

2x = 6x - 8

subtract 6x from both-side of the equation

2x - 6x = -8

-4x = -8

Divide both-side of the equation by -4

\frac{-4X}{-4}  = \frac{-8}{-4}

(On the left-hand side of the equation, -4 will cancel-out -4 while on the right-hand side of the equation -8 will be divided by -4)

x = 2

You might be interested in
Step by step to this please
vladimir1956 [14]

Answer:

7

Step-by-step explanation:

1) Substitute the values of t, v, and w into the expression:

(-2)^{2} + (1)(3)

2) Simplify the terms:

(-2)^{2} + (1)(3)\\=4 + 3\\= 7

6 0
3 years ago
Read 2 more answers
M is the midpoint of RS, and
Burka [1]
(3,8)
-5 is 4 units right, so do the opposite, 4 units left. 2 is 3 units down so do 3 units up
7 0
3 years ago
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as
Olin [163]

Answer:

x = ∛(2V/7)

y = ∛(2V/7)

z = 3.5 [∛(2V/7)]

{x,y,z} = { ∛(2V/7), ∛(2V/7), 3.5[∛(2V/7)] }

Step-by-step explanation:

The aquarium is a cuboid open at the top.

Let the dimensions of the base of the aquarium be x and y.

The height of the aquarium is then z.

The volume of the aquarium is then

V = xyz

Area of the base of the aquarium = xy

Area of the other faces = 2xz + 2yz

The problem is to now minimize the value of the cost function.

The cost of the area of the base per area is seven times the cost of any other face per area.

With the right assumption that the cost of the other faces per area is 1 currency units, then, the cost of the base of the aquarium per area would then be 7 currency units.

Cost of the base of the aquarium = 7xy

cost of the other faces = 2xz + 2yz

Total cost function = 7xy + 2xz + 2yz

C(x,y,z) = 7xy + 2xz + 2yz

We're to minimize this function subject to the constraint that

xyz = V

The constraint can be rewritten as

xyz - V = 0

Using Lagrange multiplier, we then write the equation in Lagrange form

Lagrange function = Function - λ(constraint)

where λ = Lagrange factor, which can be a function of x, y and z

L(x,y,z) = 7xy + 2xz + 2yz - λ(xyz - V)

We then take the partial derivatives of the Lagrange function with respect to x, y, z and λ. Because these are turning points and at the turning point, each of the partial derivatives is equal to 0.

(∂L/∂x) = 7y + 2z - λyz = 0

λ = (7y + 2z)/yz = (7/z) + (2/y) (eqn 1)

(∂L/∂y) = 7x + 2z - λxz = 0

λ = (7x + 2z)/xz = (7/z) + (2/x) (eqn 2)

(∂L/∂z) = 2x + 2y - λxy = 0

λ = (2x + 2y)/xy = (2/y) + (2/x) (eqn 3)

(∂L/∂λ) = xyz - V = 0

We can then equate the values of λ from the first 3 partial derivatives and solve for the values of x, y and z

(eqn 1) = (eqn 2)

(7/z) + (2/y) = (7/z) + (2/x)

(2/y) = (2/x)

y = x

Also,

(eqn 1) = (eqn 3)

(7/z) + (2/x) = (2/y) + (2/x)

(7/z) = (2/y)

z = (7y/2)

Hence, at the point where the box has minimal area,

y = x,

z = (7y/2) = (7x/2)

We can then substitute those into the constraint equation for y and z

xyz = V

x(x)(7x/2) = V

(7x³/2) = V

x³ = (2V/7)

x = ∛(2V/7)

y = x = ∛(2V/7)

z = (7x/2) = 3.5 [∛(2V/7)]

The values of x, y and z in terms of the volume that minimizes the cost function are

{x,y,z} = {∛(2V/7), ∛(2V/7), 3.5[∛(2V/7)]}

Hope this Helps!!!

7 0
3 years ago
ANSWERED
kvv77 [185]

Answer:

c but you have it so thanks

Step-by-step explanation:

6 0
3 years ago
Round 33.885 to the nearest 100th​
maria [59]

Answer:

33.89

Step-by-step explanation:

How to Calculate Rounding to the Nearest 100th?

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit. Example

124.586

The third digit of right of decimal point is 6

The second digit after decimal point is 8 which is greater than 5

So add 1 to 8

Result = 124.59

6 0
2 years ago
Read 2 more answers
Other questions:
  • Kay divides a hexagon into 6 parts. Each part has the same area. How many parts does it take to cover 1/3 of the hexagon?
    10·2 answers
  • The sum of a two digit number is 10. If the digits are reversed, the new number is 36 less than the original number. Find the or
    9·1 answer
  • Which statements about the line that passes through (-2,0) and (2,-4 are true? select all that apply
    11·1 answer
  • Yoko earns 53 dollars each week working part time at a bookstore. She earns one additional dollar for each book she sells. Let A
    14·1 answer
  • Brenda makes wooden coasters. She cuts small round posts into 2/3 inch thick disks of wood. How many coasters can Brenda make fr
    15·1 answer
  • Round 17 21/30 to the nearest whole number
    15·1 answer
  • Find the exact length of the third side.<br> 35<br> 12
    8·2 answers
  • !!!!!!help please!!!!!! Lots of poibts
    11·2 answers
  • What is it simplified in a fraction form
    10·2 answers
  • What is 100 times 100 divied by 100
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!