1) A debt of $17 is a larger value than a debt of $20: This is true because when measuring debts, we will consider the values in the negative sense (-). Therefore, a debt of $17 has a value of (-17) and a debt of $20 has a value of (-20). -17 is larger than - 20 on a number line, hence, a debt of $17 has a larger value for the debtor, than a debt of 20$

2) One half an apple is equivalent to 8 fourths apples:

one half an apple = $\frac{1}{2}\ of\ an\ apple$

8 fourths of an apple = $\frac{8}{4} = \frac{2}{1}\ of\ and\ apple$ . Therefore, one half of an apple is not equivalent to 8 fourth of an apple.

3) 8.01 is a smaller increase in sales than 8.001: This statement is false because 8.001 is counted before 8.01, and the difference between 8.01 and 8.001 is:

8.01 - 8.001 = +0.009, hence, 8.01 is larger than 8.01 by a magnitude of 0.009

4) $\frac{2}{3}\ below\ zero$ is a lower temperature than 6 below zero:

$\frac{2}{3}\ below\ zero\ = (-\frac{2}{3})^\circ$

6 below zero = - 6°

On the number line, -6 is smaller than $-\frac{2}{3}$ hence the statement is false.

5 0

2 years ago

For the given function, find the vertical and horizontal asymptotes f(x)= x2+3/ x2-9

Ratling [72]

Set the denominatior equal to zero to find vertical asymptotes. Horizontal take the highest degree of the top and divide it by the highest degree of the bottom.
${x}^{2} - 9 = 0 \\ {x}^{2} = 9 \\ x = 3 \\ x = - 3 \\ \\ \frac{ {x}^{2} }{ {x}^{2} } = 1 \\ y = 1$
Vertical: x=3, x=-3
Horizontal : y=1

8 0

2 years ago