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
Liono4ka [1.6K]
3 years ago
9

Please Help!!? Leah is solving the equation using properties of exponents? 2^2x-3=(1/6)^3x+9

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

HERE IS HOW TO SOLVE:

Simplify {2}^{2}2

​2

​​  to 44

4x-3={(\frac{1}{6})}^{3}x+94x−3=(

​6

​

​1

​​ )

​3

​​ x+9

2 Use Division Distributive Property: {(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}(

​y

​

​x

​​ )

​a

​​ =

​y

​a

​​  

​

​x

​a

​​  

​​  

4x-3=\frac{1}{{6}^{3}}x+94x−3=

​6

​3

​​  

​

​1

​​ x+9

3 Simplify {6}^{3}6

​3

​​  to 216216

4x-3=\frac{1}{216}x+94x−3=

​216

​

​1

​​ x+9

4 Simplify \frac{1}{216}x

​216

​

​1

​​ x to \frac{x}{216}

​216

​

​x

​​  

4x-3=\frac{x}{216}+94x−3=

​216

​

​x

​​ +9

5 Multiply both sides by 216216

864x-648=x+1944864x−648=x+1944

6 Add 648648 to both sides

864x=x+1944+648864x=x+1944+648

7 Simplify x+1944+648x+1944+648 to x+2592x+2592

864x=x+2592864x=x+2592

8 Subtract xx from both sides

864x-x=2592864x−x=2592

9 Simplify 864x-x864x−x to 863x863x

863x=2592863x=2592

10 Divide both sides by 863863

ANSWER: x= 2592 over 863

You might be interested in
Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx
aalyn [17]

Answer:

\large\boxed{f^{-1}(x)=h(x)=\dfrac{1}{4}x}

Step-by-step explanation:

f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x}{4}\\\\y=\dfrac{1}{4}x

8 0
3 years ago
Read 2 more answers
Which expression is equivalent to (3-5i)-(-2+i)
N76 [4]

Answer:

-6i + 5

Step-by-step explanation:

(3-5i)-(-2+i) = 3 - 5i + 2- i = (-5i - i) + (3 + 2) = -6i + 5

3 0
3 years ago
Kevin plans to put concrete on a rectangular portion of his driveway the portion is 10 feet long and 3 inches high the price of
Fudgin [204]
First we need to know the total volume of concrete used:
V_total = \frac{cost_{total}}{cost{unit}}
V_total = \frac{\$72.98}{\frac{\$90}{yd^{3}}}
V_total = 0.7407yd^{3}

Now we can use the formula for volume of a rectangular prism:
V=lwh
Convert everythig to yards and substitute: 
0.7407yd^{3}=(3.33yd)(w)(0.08333yd)
w=\frac{0.7407}{3.33 \times 0.08333}
w \aprox 2.66yd
5 0
3 years ago
An office needs to order carpet for a waiting room measuring 30 ft. by 24ft. The carpet is sold in square yards. How many square
Dahasolnce [82]
First thing first is to know that there are 3 feel in one yard
To find the perimeter of the room do 30 times 24 which is 720 divided by 9 ( because 3 feet times 3 feet is nine which represents the square yard) to get to square yards is 80
The answer is 80 square yards
4 0
3 years ago
I NEED HELP ON THIS PLEASE!!
mr_godi [17]

Answer:

a and d

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Solve xy - 3 = k solve for x
    6·2 answers
  • Which of the following is the most precise measurement? 13 in. 13.615 in. 13.6 in. 13.62 in.
    9·1 answer
  • (a) Find a vector-parametric equation r⃗ 1(t)=⟨x(t),y(t),z(t)⟩r→1(t)=⟨x(t),y(t),z(t)⟩ for the shadow of the circular cylinder x2
    8·1 answer
  • Jamie walks 3 miles in 39 minutes. On average, Jamie is waking 1 mile every __ minutes.
    13·1 answer
  • I need help with this I need to find Area and perimeter
    11·1 answer
  • Write each fraction in its simplest form
    7·1 answer
  • -2x + 12 + 10x = 4(2x + 3)​
    14·2 answers
  • Becky has already run 23 miles on her own, and she expects to run 1 mile during each
    15·1 answer
  • HELP ME IM A 6TH <br> GRADER
    11·1 answer
  • When is the equation logaa^k=k true
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!