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Complete Question
Sherry claims that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than 1.
Which of these values of x will prove Sherry's claim is false?
Answer:
When x = 5
Step-by-step explanation:
Sherry claims that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than 1.
Examples of odd numbers greater than 1 : 3, 5, 7, 9, 11 ....
We would put these odd numbers to test
a) When x = 3
= 1/3 = 0.3333333333
b) When x = 5
= 1/5 = 0.2
c) When x = 7
= 1/7 = 0.142857142
d) When x = 9
= 1/9 = 0.1111111111
e) When x = 11
= 1/11 = 0.0909090909
From the above calculation, we can see that the only odd number greater than 1 that will prove Sherry's theory wrong is when x = 5
Therefore, the value of x that will prove Sherry's claim is false is when x = 5
Explanation:
If you make a vertical line test, this graph is the only one that doesn't have two points in the same line. Unlike the other graph's who have the same domain and there would be more than one point in the vertical line test.
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
