Step-by-step explanation:
1. 18^2 - 10^2 = 324 - 100 = 224
Sqt(224)=14.9666
Approximate = 14.97
2. 100 - 16 = 84
Sqrt 84 = 9.1652
Approximate = 9.17
3. 225 - 49 = 176
Sqrt 176 = 13.2665
Approximate = 13.27
4. 361 - 144 = 217
Sqrt 217 = 14.7309
Approximate = 14.73
Answer:
- rational
- irrational
- irrational
- irrational
- √7, it is irrational
Step-by-step explanation:
A <em>rational</em> number is one that can be expressed as the ratio of two integers. All fractions that have integer numerators and (non-zero) denominators are <em>rational</em> numbers. Any finite decimal number, or any repeating decimal number, is a rational number. These can always be expressed as the ratio of two integers. For example, 0.4040... = 40/99, and 0.286 = 286/1000.
To make an irrational sum, at least one of the contributors must be irrational. You want an irrational 2-number sum that has 7/8 as one of the contributors. Since 7/8 is rational, the other contributor must be irrational.
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<u>Step 1</u>. The number 7/8 is <em>rational</em>.
<u>Step 2</u>. The desired sum is <em>irrational</em>.
<u>Step 3</u>. The rule <em>rational + </em><em>irrational</em><em> = irrational</em> applies.
<u>Step 4</u>. An <em>irrational</em> number must be chosen.
Step 5. √7 will produce an irrational sum, because <em>it is irrational</em>.
A chart would include
x, y
-2, 0
-1, 1
0, 2
1, 3
2, 4
The graph would look like this (Image attached)
F(g(2)) = 3(x^3 + 1)^2 - 7 = 3(x^6 + 2x^3 + 1) - 7 = 3x^6 + 6x^3 + 3 - 7 = 3x^6 + 6x^3 - 4
Answer:
= 0
Step-by-step explanation:
Data provided in the question:
In(2x + 5) = In(x - 3)
we can rearrange the above equation as
⇒ In(2x + 5) - In(x - 3) = 0
now,
from the properties of natural log function, we know that
therefore,
we get
= 0
Hence,
Expression as the logarithm of a single quantity is = 0
