The vertex form of quadratic equation is expressed as:
y = a (x - h)² + k
We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.
y - 14 = 5x² + 20x
Then, we factor out in right hand side the coefficient of the x² term.
y- 14 = 5 (x² + 4x)
We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.
y - 14 + 20 = 5 (x² + 4x +4)
We simplify the right-hand side as:
y + 6 = 5 (x + 2)²
We can now manipulate further the equation above in the vertex form. Thus,
y= 5 [ x- (-2)]² - 6
Answer:
$750
Step-by-step explanation:
rent is 30% of $2,500 Tom's total monthly budget.
30/100 x 2500 = 750
<u>Given </u><u>:</u><u>-</u>
- A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
- The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
- Customer has to pay 13% VAT .
<u>To </u><u>Find </u><u>:</u><u>-</u>
- Amount to be paid by the customer .
<u>Sol</u><u>u</u><u>tion </u><u>:</u><u>-</u>
Here , according to the question ,
Therefore cost after adding VAT ,
Again the values added by the retailer before selling to customer ,
- Transport = Rs 250
- Profit = Rs 300
- Tax = Rs 150
Therefore total cost after adding these ,
Again Selling price after addition of 13% VAT ,
<u>Hence </u><u>the </u><u>amount </u><u>to </u><u>be </u><u>paid </u><u>by </u><u>the </u><u>customer </u><u>is </u><u>Rs </u><u>6</u><u>1</u><u>5</u><u>4</u><u> </u><u>.</u>
81/4 is the answer , use formula (b/2) squared