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
borishaifa [10]
2 years ago
15

Determine the equation of the inverse of y =4^(2x+9)

Mathematics
1 answer:
dybincka [34]2 years ago
6 0
Y = 1/2[(logx/log 4) - 9] is the inverse. 

You can solve this by switching the x and y values and then solve. You'll need to use logarithmic functions in order to get the exponents down. 

<span>x =4^(2y+9)---> take logs of both sides and move exponents
logx = (2y + 9)log 4 ---> divide by log4
logx/log4 = 2y + 9 ---> subtract 9
(logx/log4) - 9 = 2y ---> multiply by 1/2
1/2[(logx/log4) - 9] = y</span>
You might be interested in
A 50 meter chain with uniform density and a mass of 40 kilograms is hanging from the roof of a building under construction. How
Brums [2.3K]

Answer:

19,600 Nm

Step-by-step explanation:

WD = mgh

= 40 × 9.8 × 50

= 19600 Nm

8 0
3 years ago
Read 2 more answers
Joel is considering putting a $
olganol [36]

Answer: $53.84

Step-by-step explanation: 3500 divided buy 65

6 0
3 years ago
Solve the equation 4/x=8​
Veseljchak [2.6K]

Answer:

x = .5

Step-by-step explanation:

4 / x = 8

4 / .5 = 8

x = .5

7 0
2 years ago
A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with
tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>

So, X ~ N(\mu = 12.56, \sigma^{2} = 6.7^{2})

The z score probability distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 12.56 hours

           \sigma = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X \leq 12)

    P(X < 15) = P( \frac{X-\mu}{\sigma} < \frac{15-12.56}{6.7} ) = P(Z < 0.36) = 0.64058

    P(X \leq 12) = P( \frac{X-\mu}{\sigma} \leq \frac{12-12.56}{6.7} ) = P(Z \leq -0.08) = 1 - P(Z < 0.08)

                                                     = 1 - 0.53188 = 0.46812

<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.                                                 

7 0
3 years ago
Find all zeros of the polynomial function. g(x) = x^4 + 2x^3 + 7x^2 + 2x - 8
tester [92]

Answer:

x≈−

1.32047132, 0.82496696

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Emily spent $55 from her savings account on a new dress explain how to describe the change in emilys savings balance in two diff
    15·1 answer
  • Consider this scenario: A traffic signal for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 sec
    9·2 answers
  • Mr. McBride ordered 6 cheese pizzas and 7 pepperoni pizzas and paid $153.50 for his son's birthday party. He realized he was goi
    15·1 answer
  • Write 0.083333333333333 repeating as a fraction. (The 3 is repeating the 8 is not)
    8·1 answer
  • 4. Simplify this expression: 19 - (-8) - (-14) = ?
    15·2 answers
  • Helpppp I’ll mark brainliest
    15·1 answer
  • How many 3-digit passwords can be formed from the digits 0 through 9
    8·1 answer
  • Aflati un numar natural care impartit la 17 da catul 23 si restul 11.
    5·1 answer
  • What is m&lt; 11?<br> PLZ HURRY
    8·1 answer
  • PLS ANS THIS QUESTION PLS
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!