Step-by-step explanation:
Since, roots are - 3 & 2
Therefore, (x + 3) & (x - 2) would be factors.
Leading coefficient is 5
Hence, required quadratic equation is:
What is the unit rate
2 answers:
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One way to compare is to find the price per gallon.
$24 for 4 gallons = 24÷4 = $6 per gallon
8 pack of 1 qt bottle give you 2 gallons (4qts= 1 gallon) So you get 2 gallons for $16
$16 ÷ 2 = $8.00 per gallon. Sweet and Sour has the higher unit price.
Even if we compare the price per quart we will get the same answer as to who is selling it at the higher unit price.
4gal for $24 = 16 quarts for $24 ( 1 gallon = 4 qts)
$24 ÷ 16 = $1.50 each (1
)
vs.
8 quarts for $16 $16 ÷ 8 = $2.00 per qt. Sweet and sour still has the higher unit price
$24 for 4 gallons = 24÷4 = $6 per gallon
8 pack of 1 qt bottle give you 2 gallons (4qts= 1 gallon) So you get 2 gallons for $16
$16 ÷ 2 = $8.00 per gallon. Sweet and Sour has the higher unit price.
Even if we compare the price per quart we will get the same answer as to who is selling it at the higher unit price.
4gal for $24 = 16 quarts for $24 ( 1 gallon = 4 qts)
$24 ÷ 16 = $1.50 each (1
vs.
8 quarts for $16 $16 ÷ 8 = $2.00 per qt. Sweet and sour still has the higher unit price
Answer:
The distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P
Step-by-step explanation:
We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land
Distance of the small resort on the island from point p on the shoreline = 3 miles
Location of the closest source of fresh water is 10 miles along the shoreline from p
∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides
Height = 3 miles
Base = 10 miles and
Hypotenuse =
To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get
Costs:
Height = Water route = 2.3 × 3 miles = 6.9
Base = Land route = 1 × 10 miles = 10
Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012
Therefore, the two routes are either
10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or
Directly to the small resort through 10.44 miles across the water with cost = 24.012
Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.
That is the distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.