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
mart [117]
3 years ago
6

Solve for x given that

%7D%20" id="TexFormula1" title=" {64}^{2x - 1} = {32}^{x + 1} " alt=" {64}^{2x - 1} = {32}^{x + 1} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Answer:

x = \frac{11}{7}

Step-by-step explanation:

note that 64 = 2^{6} and 32 = 2^{5} , thus

(2^{6}) ^{2x-1} = (2^{5}) ^{x+1} , that is

2^{6(2x-1)} = 2^{5(x+1)}

2^{12x-6} = 2^{5x+5}

Since the bases on both sides are equal, then equate the exponents

12x - 6 = 5x + 5 ( subtract 5x from both sides )

7x - 6 = 5 ( add 6 to both sides )

7x = 11 ( divide both sides by 7 )

x = \frac{11}{7}

You might be interested in
What is X and A??? The have to equal the same thing, but one is multiplying and one is adding (picture)
Aleksandr-060686 [28]
X*a = 244  is equation (1)
x+a = 2    is equation (2)

Solve equation (2) for 'a' to get
x+a = 2
a = 2-x
Call this equation (3)

We will plug equation (3) into equation (1)
x*a = 244
x*(a) = 244
x*(2-x) = 244
Notice how the 'a' is replaced with an expression in terms of x

Let's solve for x
x*(2-x) = 244
2x-x^2 = 244
x^2-2x+244 = 0

If we use the discriminant formula, d = b^2 - 4ac, then we find that...
d = b^2 - 4ac
d = (-2)^2 - 4*1*244
d = -972
indicating that there are no real number solutions to the equation x^2-2x+244 = 0

So this means that 'x' and 'a' in those two original equations are non real numbers. If you haven't learned about complex numbers yet, then the answer is simply "no solution". At this point you would stop here. 

If you have learned about complex numbers, then the solution set is approximately 
{x = 1 + 15.588i, a = 1 - 15.588i}
which can be found through the quadratic formula

Note: it's possible that there's a typo somewhere in the problem that your teacher gave you. 

6 0
3 years ago
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.
Elina [12.6K]

Answer:

a. The number of light bulbs that burn out in the next year in a room with 19 bulbs: is a discrete random variable.

b. The usual mode of transportation of people in City Upper A: is not a random variable because its outcome isn't numerical.

c. The number of statistics students now doing their homework: is a discrete random variable.

d. The number of home runs in a baseball game: is a discrete random variable.

e. The exact time it takes to evaluate 67 plus 29: is a continuous random variable.

f. The height of a randomly selected person: is a continuous random variable.

Step-by-step explanation:

A random variable often used in statistics and probability, is a variable that has its possible values as numerical outcomes of a random experiment or phenomenon. It is usually denoted by a capital letter, such as X.

In statistics and probability, random variables are either continuous or discrete.

1. A continuous random variable is a variable that has its possible values as an infinite value, meaning it cannot be counted.

Example are the height of a randomly selected person, time it take to move from Texas to New York city, etc.

2. A discrete random variable is a variable that has its possible values as a finite value, meaning it can be counted.

Examples are the number of light bulbs that burn out in the next year in a room with 19 bulbs, the number of chicken in a district etc.

4 0
3 years ago
Read 2 more answers
Evaluate: 6 plus x squared times 2 for x = 4
Mkey [24]

4^{2} = 16

16 times 2 = 32

32 plus 6 = 38

always remember PEMDAS

3 0
3 years ago
One exterior angle of a regular polygon measures 97°. What is the measure of one interior angle?
3241004551 [841]

Hello :) = Merhaba :)

Answer:

<h3><u><em>83°</em></u></h3>

Step-by-step explanation:

The total angle of a polygon and its external angle must be 180°.

So the inner angle of this polygon:

180 - 97 = 83° would.

NOTE: I'm not American. I'm just a Turk who wants to help you. So if my sentences are wrong, please forgive me.

<em><u>#Cevapistevereyim</u></em>

Başarılar :) = Achievements :)

4 0
3 years ago
URGENT HELP !!!!!
worty [1.4K]

Answer:

4 I think is the answer

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the difference? 9/4 - 5/7
    12·1 answer
  • I need help with this please.
    8·1 answer
  • At the bake sale, a stray dog ate 26 of Samantha's muffins. That was 2/3 of all of them! How many muffins did she start with?
    6·1 answer
  • One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of game
    5·1 answer
  • Question 6 (1 point)
    6·1 answer
  • Please please help!!
    7·1 answer
  • Work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)​
    6·1 answer
  • Kayla has 1,000 Apples in 5 bags, Mack has 999 apples in 5 bags as well, how many apples does Kayla have THAN Mack? Mack said th
    5·1 answer
  • Please help I have this homework due tomorrow
    5·2 answers
  • As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the work
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!