<span> Given polynomial x^2+8x-48 = 0</span>
<span>x^2+12x-4x-48 = 0</span>
<span>x(x+12)-4(x+12) = 0</span>
<span>(x+12)(x-4) = 0</span>
<span>x+12 = 0</span>
Subtract 12 from each side.
<span>x+12-12 = 0-12</span>
<span>x = -12</span>
<span>and x-4 = 0</span>
Add 4 to each side.
<span>x-4+4 = 0+4</span>
<span>x = 4</span>
<span>Roots are -12,4.</span>
Speed = distance / time
given:
distance = 225 km and time = 2.5 hours
so
speed = 225 / 2.5 = 90 km per hour
Answer:
Speed = 90 km per hour
Answer:
m=13
Step-by-step explanation:
Ok
l8ml=104
8m=104
⁻⁻⁻ ⁻⁻⁻
8 8
m=13
Answer:
1,620/.60 = $2,700
step-by-step explanation:
Calculate the complement of the trade discount 100% - 40 = .60 •Calculate the list price $n Discount Rates EXAMPLE: The list price of the office equipment is $15,000. The chain discount is 20/15/10.Step 1. $15,000 X .20 =$3,000Step 2. $15,000-3,000=$12,000 X .15 = $1,800Step 3. $12,000-1,800 = $10,200 X.10 = $1,020Step 4. $10,000- 1,020 = 9,180 Net PriceCalculating Net Price Using Net Price Equivalent Rate EXAMPLE: The list price of office equipment is $15,000. The chain discount is 20/15/10. What is the net price? Step 1. Calculate each rates complement and convert to a decimal.100%-20 = 80% which is .8100%-15= 85% which is .85100% -10 = 90% which is .9Step 2. Calculate the net price equivalent rate. ( Do not round ).8 X .85 X .9 = .612 Net price equivalent rate. For each dollar you are spending about 60 cents.Step 3. Calculate the net price (actual cost to buyer) $15,000 X .612 = $9,180Step 1. Subtract each chain discount rate from 100% (find the complement) and convert each percent to a decimal.Trade Discount AmountList price x Trade discount rate = Trade discount amount $5,678 x 25% = $1,419.50Net Price List price -- Trade discount amount = Net Price
Two consecutive odd integers have a difference of 2. If you let the smaller one of them be x, the other one is x + 2.
Their sum is -36, so add x and x + 2, and set equal to -36. Then solve for x to find the smaller one. Finally, 2 more than x is the greater of the two integers.
x + x + 2 = -36
2x + 2 = -36
2x = -38
x = -19
The smaller one of the two integers is -19.
x + 2 = -19 + 2 = -17
The greater of the two integers is -17.
Answer: The integers are -19 and -17.
