Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x
1 answer:
Answer:
Option (1)
Step-by-step explanation:
Given equation is,
To determine the solution of the equation we will substitute the values of 'x' given in the options,
Option (1)
For x = -0.75
0.59 = 1 - 0.44
0.59 = 0.56
Since, values on both the sides are approximately same.
Therefore, x = -0.75 will be the answer.
Option (2)
For x = -1.25
0.42 = 1 - 0.25
0.42 = 0.75
Which is not true.
Therefore, x = -1.25 is not the answer.
Option (3)
For x = 0.75
1.68 = 1 - 2.28
1.68 = -1.28
Which is not true.
Therefore, x = 0.75 is not the answer.
Option (4)
For x = 1.25
2.38 = 1 - 3.95
2.38 = -2.95
It's not true.
Therefore, x = 1.25 is not the answer.
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Given that the total number of students that sent messages = 150 students
a) To obtain the equation to represent the number of students who send text messages, we will sum up the variables in the Venn diagram and equate it to 150.
Hence, the equation is
b) Solving for x
Therefore, x = 15.
c) The total number of student that uses cell phone = 75 + x = 75 + 15= 90students
The total number of students that sent messages = 150students
The formula for probability is,
Hence,
Therefore, the probability that a randomly chosen student uses their cell phone to send text messages is 3/5.
1.
An expression of the form
is called a "compound fraction"
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:
for example,
can be written as:
2.
when we subtract or add a fraction
from an integer k,
we first write k as a fraction with denominator n. We can do this as follows:
for example, if we want to subtract
from 8,
we first write 8 as a fraction with denominator 2:
3.
Thus,
4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:
(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D
An expression of the form
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:
for example,
2.
when we subtract or add a fraction
we first write k as a fraction with denominator n. We can do this as follows:
for example, if we want to subtract
we first write 8 as a fraction with denominator 2:
3.
Thus,
4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:
(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D