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Pavel [41]
3 years ago
11

If 2^x+4 = 2^3x-1, what is the value of x?

Mathematics
1 answer:
Ronch [10]3 years ago
3 0

Answer:

     x = 5/2

Step-by-step explanation:

2^x+4 = 2^3x-1

x + 4 = 3x - 1

3x - x  = 4 + 1

2x   = 5

     x = 5/2

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Which number comes next in this series: 2, 3, 4, 8, 9, 10, 20, 21, 22,?
Mekhanik [1.2K]
44

The pattern is +1,+1,x2
3 0
3 years ago
The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

3 0
3 years ago
Solve for x. Enter the solutions from least to greatest.
Anna [14]

Answer:

lesser x = -6

greater x = 12

Step-by-step explanation:

(x - 3)^2 - 81 = 0

(x - 3)^2 = 81

x - 3 = +/- 9

x - 3 = 9   or   x - 3 = -9

x = 12   or   x = -6

5 0
3 years ago
4 + 4 (1 + 5m) = -132
MrRissso [65]

Answer:

m=-7

Step-by-step explanation:

4+4+20m=-132

8+20m=-132

20m=-132-8

20m=-140

m=-7

6 0
3 years ago
Mavis is interested in whether military dependency is related to gender in American Samoa. Here is data she collected about the
MAVERICK [17]

Complete question :

Mavis is interested in whether military dependency is related to gender in American Samoa. Here is data she collected about the population of American Samoa in 2010.

Millitary status _________ female ____ Male

In armed forces _________ 28 _______ 59

Millitary dependent ______ 928 ______ 781

Civilian _______________ 26393 ___27330

Answer:

Male = 0.4193

Female = 0.5087

Step-by-step explanation:

To obtain the marginal distribution of gender :

Total number of civilians (male + female)

(26393 + 27330) = 53,723

Male :

P(male) = number of male / total

P(male) = 26393 / 53,723 = 0.4912793

P(Female) = number of Female / total

P(Female) = 27330 / 53,723 = 0.5087206

3 0
3 years ago
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