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mamaluj [8]
3 years ago
14

How do you use rounding or compatible numbers to estimate the sum of a number

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0
Round the numbers, then add them
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What is the true solution to 3 in 2 + in 8 = 2 in (4x)
11Alexandr11 [23.1K]
The first step for solving this equation is to determine the defined range.
3㏑(2) + ㏑(8) = 2㏑(4x), x > 0
Write the number 8 in exponential form.
3㏑(2) + ㏑(2³) = 2㏑(4x)
Using ㏑(a^{x}) = x × ㏑(a),, transform the expression.
3㏑(2) + 3㏑(2) = 2㏑(4x)
Now collect the like terms on the left side of the equation.
6㏑(2) = 2㏑(4x)
Switch the sides of the equation.
2㏑(4x) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the left side of the equation.
㏑((4x)²) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the right side of the equation.
㏑((4x)²) = ㏑(2^{6})
Since the bases of the logarithms are the same,, you need to set the arguments equal.
(4x)² = 2^{6}
Take the square root of both sides of the equation and remember to use both the positive and negative roots.
4x = +/- 8
Now separate the equation into 2 possible cases.
4x = 8
4x = -8
Solve the top equation for x.
x = 2
Solve the bottom equation for x.
x = 2
         , x > 0
x = -2
Lastly,, check if the solution is in the defined range to find your final answer.
x = 2
This means that the correct answer to your question is x = 2.
Let me know if you have any further questions
:)
5 0
3 years ago
Read 2 more answers
Sine theta equals square root of 3 over 2 find theta.
Alexxx [7]
Sin(theeta) = square root(3)/2
theeta = sin inverse [square root (3)/2]
theeta =  60 degrees
as seen from trignometric table
7 0
3 years ago
Which function graph has axis of symmetry x=2
Reptile [31]

Answer:

HJVJKN ,KMN,. MN

Step-by-step explanation:

3 0
3 years ago
Three-fourths was subtracted from a number, and then 5 1/4 was added to the result. The sum was -7.
Alika [10]

Answer:

1 1/4 is the answer

Step-by-step explanation:

Hope this helps :))

6 0
3 years ago
Write the first five terms of the sequence. an=n2 +2​
Alla [95]

Answer:

The first five terms of the given sequence

3, 6, 11, 18, 27

Step-by-step explanation:

It is given that,

an=n² +2​

<u>To find the first five terms</u>

a₁ = 1² + 2 = 1 + 2 = 3

a₂ = 2² + 2 = 4 + 2 = 6

a₃ = 3² + 2 = 9 + 2 = 11

a₄ = 4² + 2 = 16 + 8 = 18

a₅ = 5² + 2 = 25 + 2 = 27

Therefore the first five terms of the given sequence

3, 6, 11, 18, 27

4 0
3 years ago
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