Answer:
See below
Step-by-step explanation:
If |x| < |y| and both are negative the x will be to the right of y on the number line. The point x is loser to the zero on the number line. We can illustrate this by supposing x = -3 and y = -6.
|x| = 3 and |y| = 6 and 3 < 6 but -3 on the number line is higher ( to the right) of -6 and closer to the zero.
|-8 1/3| = 8 1/3
|7 2/3| = 7 2/3
The absolute values of 8 1/3 > than absolute value of 7 2/3. The point 7 2/3 is closer to the zero on a number line.
The absolute value of F is greater than absolute value of E so E is closer to the zero line than F.
Answer:
Letter A is the answer pls
Solutions are 2 and 6.
Step-by-step explanation:
- Step 1: Solve for y to find the solutions.
⇒ y²/y² - 6y = 4(3 - 2y)/y(6 - y)
⇒ y²/y² - 6y = 12 - 8y/6y - y²
⇒ y²/y² - 6y = -12 + 8y/y² - 6y (Taking the negative side out from 6y - y²)
⇒ y² = -12 + 8y (Both denominators are cancelled out)
⇒ y² - 8y + 12 = 0
⇒ y² - 6y - 2y + 12 = 0
⇒ y(y - 6) - 2(y - 6) = 0
⇒ (y-6)(y - 2) = 0
⇒ y = 2, 6
The total cost of a $2,099 couch including the 6.5% sales tax is $ 2235.435
<u>Solution:</u>
Given that,
cost of couch = $ 2099
Sales tax = 6.5%
<em><u>Finding the total cost of couch with sales tax:</u></em>
Total cost of couch = selling price of couch + sales tax on the selling price of couch
Plugging in values we get,
<em>Total cost of couch = $ 2,099 + 6.5% sales tax on $ 2099</em>

Taking "2099" as common term, we get,

On solving brackets,

Hence, the total cost of the couch is found as $ 2235.435