75+ 15x ≥ 140
⇒ 15x ≥ 140-75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3
Final answer: x ≥ 4 1/3~
<u>Answer</u>
9+√14
<u>Explanation</u>
To Rationalize the denominator of 5-√7/9-√14.
To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Answer: 18450
Step-by-step explanation:
Answer:
a) $15287.71
b) $15017.64
c) $16,368 − <em>r</em>%
Step-by-step explanation:
<u>Mary's car price (including tax): $16,368</u>
[<em>possible tax rates and listing prices</em>]
<u>a) 6.6%</u>
➠ $15287.71
<u>b) 8.25%</u>
➠ $15017.64
<u>c) </u><u><em>r</em></u><u> (any rate)</u>
➠ $16,368 − <em>r</em>%
<u>How did I find my answers?</u>
I had to <em>find the sales tax</em>, and<em> subtract it from the overall cost</em> of the item.
- To find the sales tax, all I had to do was multiply the sales tax percentage by the price of the item
- Next, all I had to do was subtract the sales tax from the item's cost
